It is essential to encourage and support these girls to continue pursuing their interests and talents in math and science, as excelling in these fields can lead to successful careers and personal growth.
It is unfortunate that some girls may fear focusing on math and science during puberty due to concerns about popularity or attractiveness. However, it is important to remember that excelling in these subjects can lead to numerous opportunities and career paths in the future. It is also important to note that intelligence and academic achievement should be celebrated and valued regardless of gender stereotypes. Schools can play a role in promoting the importance of STEM subjects and encouraging girls to pursue their interests in these areas.
It has been observed that some girls who excelled in math and science during elementary school may develop concerns during puberty that focusing on these subjects might limit their popularity or attractiveness as girls. This could be due to societal stereotypes or peer pressure, which might influence their academic choices and priorities. It is essential to encourage and support these girls to continue pursuing their interests and talents in math and science, as excelling in these fields can lead to successful careers and personal growth.
to learn more about elementary school click here:
https://brainly.com/question/15391745
#SPJ11
It is essential to encourage and support these girls to continue pursuing their interests and talents in math and science, as excelling in these fields can lead to successful careers and personal growth.
It is unfortunate that some girls may fear focusing on math and science during puberty due to concerns about popularity or attractiveness. However, it is important to remember that excelling in these subjects can lead to and career paths in the future. It is also important to note that intelligence and academic achievement should be celebrated and valued regardless of gender stereotypes. Schools can play a role in promoting the importance of STEM subjects and encouraging girls to pursue their interests in these areas.
It has been observed that some girls who excelled in math and science during elementary school may develop concerns during puberty that focusing on these subjects might limit their popularity or attractiveness as girls.
Learn more about “interests “ visit here;
https://brainly.com/question/29480777
#SPJ4
[tex]-\frac{7}{8} - - \frac{5}{6} +\frac{1}{3}[/tex]
Answer: 7/24 ≅ 0.2916667
Step-by-step explanation: QUICK MATH
2㏒_[6](2)+3㏒_[6](3)+㏒_[6](12)
Answer: 4
Step-by-step explanation:
Given:
[tex]2log_62+3log_63+log_612[/tex]
Rewrite using the power property:
[tex]log_62^2+log_63^3+log_612[/tex]
Rewrite by adding the logarithms together (multiplying) since they all have a common base of 6:
[tex]log_6(2^2*3^3*12)[/tex]
Simplify by multiplying:
[tex]log_6(4*27*12)[/tex]
[tex]log_6(1,296)[/tex]
Evaluate the logarithm:
[tex]log_6(1,296)[/tex]
4
The solution to -2(1 - 4x) = 3x + 8 is
Answer:
2
Step-by-step explanation:
-2(1-4x)=3x+8
first expand brackets
-2+8x=3x+8
take away the least amount of X's from one side
-2+5x=8
add 2 to each side
5x=10
x=2
solution=2
a man can hit his target 25% of the time if he fires 4 shots in succession what is the probability that he will hit his target
The probability that the man will hit his target at least once in 4 shots is calculated using the complementary probability of him missing all 4 shots. Since he hits his target 25% of the time, he misses it 75% of the time.
The probability of missing all 4 shots is (0.75)^4 = 0.3164.
Now, to find the probability of hitting the target at least once, subtract the probability of missing all shots from 1:
1 - 0.3164 = 0.6836 or 68.36%.
So, the probability that the man will hit his target at least once in 4 shots is approximately 68.36%.
Learn more about probability:
https://brainly.com/question/24756209
#SPJ11
let p(n) be the statement that 1^3 +2^3+ 3^3 ... +n^3 = (n(n 1)2)^2 for the positive integer n. we will have completed the basis step of the proof if we show that
Since the statement p(n) holds true for n = 1, we have successfully completed the basic step of the proof.
To complete the basic step of the proof, we need to show that the statement p(n) is true for the smallest positive integer n, which is 1.
Let's plug n = 1 into the statement p(n):[tex]1^3 = (\frac{1(1 + 1))}{2})^2[/tex]
Simplifying the equation, we get:
[tex]1^3 = (1(2)/2)^2\\1^3 = (1^2)^2\\1 = 1[/tex]
Since the statement p(n) holds true for n = 1, we have successfully completed the basic step of the proof.
learn more about smallest positive integer
https://brainly.com/question/14378432
#SPJ11
The statement is true for n=1, and we have completed the basis step of the proof.
To complete the basis step of the proof for the statement p(n), we need to show that it is true for the smallest positive
integer n, which is 1.
Our statement is:
[tex]1^3 + 2^3 + 3^3 + ... + n^3 = (n(n+1)/2)^2.[/tex]
For the basis step, let n = 1:
Left side: [tex]1^3 = 1[/tex]
Right side:[tex](1(1+1)/2)^2 = (1(2)/2)^2 = (1)^2 = 1[/tex]
Since the left side and the right side are equal, we have successfully completed the basis step of the proof for the statement p(n).
Therefore, the statement is true for n=1, and we have completed the basis step of the proof.
for such more question on statement
https://brainly.com/question/27839142
#SPJ11
Q4: The walking distance that is saved by cutting across the lot is?
The walking distance that is saved by cutting across the lot is 55.
What is a right angle triangle?A right triangle, also known as a right-angled triangle, is a triangle that has one angle that measures 90° (a right angle). The remaining two angles are acute, or less than 90°
Apply right angle triangle rules;
⇒ 38² = (x+14)² + x²
⇒ 1444 = x² + 196 + 28x + x²
⇒ 2x² + 28x - 1248 = 0
⇒ x = 19 and x = -33
Therefore, the walking distance that is saved by cutting across the lot is:
⇒ x + x + 14
⇒ 19 + 19 + 14
⇒ 52
To know more about triangle, visit:
https://brainly.com/question/17815056
#SPJ1
The hypotenuse of a right triangle measures 8 cm and one of its legs measures 4 cm. Find the measure of the other leg.
Answer:
[tex]4\sqrt{3}[/tex] cm
Step-by-step explanation:
We can use the Pythagorean Theorem to answer this question. Recall that the Pythagorean Theorem is:
[tex]a^2+b^2=c^2[/tex]
where a is the length of a leg, b is the length of the other leg, and c is the length of the hypotenuse.
We are given the hypotenuse (8 cm) and one of the legs (4 cm). Substitute the values and solve for the unknown.
[tex]a^2+b^2=c^2=\\4^2+b^2=8^2=\\16+b^2=64=\\b^2=48=\\b=\sqrt{48} =\\b=\sqrt{16}*\sqrt{3} =\\ b=4\sqrt{3}[/tex]
Therefore, the measure of the other leg is equal to [tex]4\sqrt{3}[/tex] cm.
Try it
Analyzing a System of Equations with Infinitely Many
Solutions
Abed says he has written a system of two linear equations that has an infinite number of solutions. One of the
equations of the system is y=3x-1. Which could be the other equation?
Oy=3x+2
O 3x-y=2
O 3x-y=1
O 3x+y=1
Answer:
3x-y=1
Step-by-step explanation:
PLEASE HELP. Lesson 15.3 Tangents and Circumscribed Angles
Proof of Circumscribed Angle Theorem
Given: ZAXB is a circumscribed angle of circle C.
Prove: ZAXB and ZACB are supplementary.
Complete the proof.
A
B
C
If ZAXB is a circumscribed angle of circle C, XA and XB are
Select an answer to the circle
Therefore, angles ZACB and ZAXB are congruent, and since they are complementary to angles ZAO and ZBO, respectively, they must be supplementary.
What is Circumscribed Angle Theorem?The Circumscribed Angle Theorem states that an angle formed by two intersecting chords in a circle is half the sum of the measures of the intercepted arcs. More formally, if two chords of a circle intersect at point P, then the measure of the angle formed by the chords (let's call it angle ABC) is equal to half the sum of the measures of the arcs intercepted by the angle.
Here,
To prove that ZAXB and ZACB are supplementary, we need to show that the sum of their measures is 180 degrees. Here's the proof:
Given: ZAXB is a circumscribed angle of circle C.
To Prove: ZAXB and ZACB are supplementary.
Proof:
Draw circle C with center O and circumscribed angle ZAXB.
Draw radii OA, OB, and OC to the points of intersection A, B, and C.
Since XA and XB are tangent to circle C at points A and B, respectively, we know that angles OAX and OBX are right angles.
Therefore, angles ZAO and ZBO are complementary to angles ZAC and ZBC, respectively.
By the Inscribed Angle Theorem, we know that angles ZAO and ZBO are congruent to angle ZAXB.
Therefore, angles ZACB and ZAXB are congruent, and since they are complementary to angles ZAO and ZBO, respectively, they must be supplementary.
Thus, we have proven that ZAXB and ZACB are supplementary.
Therefore, the proof is complete.
To know more about Circumscribed Angle Theorem,
https://brainly.com/question/29164079
#SPJ1
Complete the table using the information given.
Using the above information, we can calculate the missing figures in the table and this is shown on the table attached.
What is the table about?For the "Shorts" row: It's given that 42 people were wearing shorts.
Since it's mentioned that twice as many people were wearing closed-toed shoes as open-toed shoes, and 30 people were wearing open-toed shoes, we can deduce that 30 people were also wearing closed-toed shoes.So, the total number of people wearing closed-toed shoes is 30, and the total number of people wearing shorts is also 42, since they are the same group of people.Therefore, the "Close-Toed Shoes" column in the "Shorts" row is also 42, and the "Total" column is the sum of open-toed and closed-toed shoes, which is 84.
To know more about table here:
https://brainly.com/question/12151322
#SPJ1
See text below
30 people surveyed were wearing open-toed shoes.
1/3 of the people with open-toed shoes were wearing
pants.
• 42 people were wearing shorts.
Twice as many people were wearing closed-toed shoes
than open-toed shoes.
Complete the table using the information given.
Open-Toed Shoes Close-Toed Shoes Total
Shorts ------- ------ --------
Pants ------ ---------- ------
Total ------ ---------- ---------
Please someone please help me
The equation of the line shown in the given graph is y = x/2 + 4
Writing the equation of a lineFrom the question, we are to write the equation for the line shown in the graph
To write the equation of the line we will use the two points given on the line, (-2, 3) and (2, 5)
Using the formula,
(y - y₁) / (x - x₁) = (y₂ - y₁) / (x₂ - x₁)
Then,
The equation becomes
(y - 3) / (x - (-2)) = (5 - 3) / (2 - (-2))
(y - 3) / (x + 2) = (5 - 3) / (2 + 2)
(y - 3) / (x + 2) = 2 / 4
(y - 3) / (x + 2) = 1/2
Cross multiplication
2(y - 3) = 1(x + 2)
2y - 6 = x + 2
2y = x + 2 + 6
2y = x + 8
Divide through by 2
y = x/2 + 4
Hence,
The equation is y = x/2 + 4
Learn more on Writing the equation of a line here: https://brainly.com/question/26148595
#SPJ1
pls help!!! make sure to show ur workkk!! i need this ASAP.
Answer:
a = 2
b = 4
c = 4.47
Step-by-step explanation:
a is 2 units long
b is 4 units tall
To find c, we can use the formula: a^2 + b^2 = c^2
Plug it in:
(2)^2 + (4)^2 = c^2
4 + 16 = c^2
20 = c^2
c = 4.47
Answer:
length a is 2 length b is 4 length c is 4
Step-by-step explanation:
One gallon of paint covers 400 square feet. What is the least amount of paint needed to paint the walls of a room in the shape of a rectangular prism with a length of 17 feet, a width of 15 feet, and a height of 12 feet? Write your answer as a decimal. Gal
We need at least 3.465 gallons of paint to paint the walls of this room.
The area of the two rectangular faces on either end of the prism is:
length x height = 17 x 12 = 204 square feet
The area of the two rectangular faces on the sides of the prism is:
width x height = 15 x 12 = 180 square feet
The area of the top and bottom faces of the prism is:
length x width = 17 x 15 = 255 square feet
The total surface area of the prism is:
2(204) + 2(180) + 2(255) = 1386 square feet
Now, we divide surface area by coverage of one gallon of paint:
1386 / 400 = 3.465
To know more about surface area , here
brainly.com/question/29298005
#SPJ4
Find a congruence transformation that maps triangle RST to triangle UVW.
A congruence transformation that maps triangle RST to triangle UVW is a reflection along the line y = 1, followed by a translation 2 units right and down by 1 units.
A congruence transformation that maps triangle RST to triangle UVW is a rotation of 180°, followed by a translation 2 units left and down by 5 units.
What is a transformation?In Mathematics and Geometry, a transformation is the movement of a point from its initial position to a new location. This ultimately implies that, when a geometric figure or object is transformed, all of its points would also be transformed;
What is a reflection?In Mathematics and Geometry, a reflection can be defined as a type of transformation which moves every point of the geometric figure such as a triangle, by producing a flipped, but mirror image of the geometric figure.
By critically observing the geometric figures, we can reasonably infer and logically deduce that the pre-images underwent a sequence of congruence transformations to produce the images.
Read more on transformation here: https://brainly.com/question/10754933
#SPJ1
Triangle UVW has vertices at U(−2, 0), V(−3, 1), W(−3, 3). Determine the vertices of image U′V′W′ if the preimage is rotated 90° counterclockwise.
U′(0, −2), V′(−1, −3), W′(−3, −3)
U′(0, −2), V′(1, −3), W′(3, −3)
U′(2, 0), V′(3, −1), W′(3, −3)
U′(−2, 0), V′(−3, 0), W′(3, −3)
Answer:
The vertices of the image after rotating triangle uvw 90 degrees counterclockwise are u′(0, −2), v′(1, −3), w′(3, −3).
Step-by-step explanation:
The box plot represents the number of tickets sold for a school dance.
A horizontal line labeled Number of Tickets sold that starts at 8, with tick marks every one unit up to 30. The graph is titled Tickets Sold for A Dance. The box extends from 17 to 21 on the number line. A line in the box is at 19. The lines outside the box end at 10 and 27.
Which of the following is the appropriate measure of center for the data, and what is its value?
The mean is the best measure of center, and it equals 19.
The median is the best measure of center, and it equals 4.
The median is the best measure of center, and it equals 19.
The mean is the best measure of center, and it equals 4.
The optimal measure of variability is the IQR, which equals 4. The proper measure of variability for the data is C.
How is IQR the best measure of variability?The difference among the third and the first quartile is defined by the interquartile range. The entire series is divided into four equally sized pieces by the partitioned values referred to as quartiles. Three quartiles are present.
The spread of the middle 50% of the data, which is less susceptible to outliers than the range, is measured by the interquartile range (IQR), which is the best measure of variability for these data.
The IQR is calculated by deducting the third quartile ([tex]Q_3[/tex]) from the first quartile ([tex]Q_1[/tex]). We can see from the box plot that [tex]Q_1[/tex] is roughly
17 and [tex]Q_3[/tex] is roughly 21.
Therefore,
[tex]IQR=Q_3-Q_1\\\\IQR=21-17\\\\IQR=4[/tex]
To know more about interquartile range, visit:
brainly.com/question/4102829
#SPJ1
GEOMETRY: TRIGONOMETRIC RATIOS
How tall is the tree?
A) 50 feet
B) 70 feet
C) 20 feet
D) 30 feet
The height of the tree shown in the triangle is 20 feet.
What is trigonometric ratios?Trigonometric ratios show the relationship between the sides and angles of a right angled triangle.
Some examples of trigonometric ratios are:
TanФ = Opposite / Adjacent; sinФ = Opposite / Hypotenuse and CosФ = Adjacent / Hypotenuse
Given that from the diagram:
tan(Ф) = 20/50
The height of the tree is 20 feet.
Find out more on trigonometric ratios at: https://brainly.com/question/24349828
#SPJ1
Ket
Question 1
Points A, O, and B, are collinear. Find the measure of ZCOD.
A
O x = 90°
Ox= 103°
0x=77°
Ox=23°
C
50°
O
D
B
1 pts
The measure of angle ZCOD is 27°.
Since A, O, and B are collinear, angles AOC and COB form a linear pair, which means their sum is 180°. Therefore:
x + 50° = 180°
Solving for x, we get:
x = 130°
Next, we can use the fact that angles AOC and BOA are vertical angles, which means they are congruent. Therefore:
x = 103°
Substituting x with 130°, we get:
130° = 103° + COD
Solving for COD, we get:
COD = 27°
Finally, since angles AOD and COB are alternate interior angles, they are congruent. Therefore:
77° = 50° + ZCOD
Solving for ZCOD, we get:
ZCOD = 27°
To know more about angle, here
brainly.com/question/28451077
#SPJ4
--The complete question is, Given that points A, O, and B are collinear, find the measure of angle ZCOD, where:
Angle AOC is denoted by x and measures 90°
Angle BOA measures 103°
Angle AOD measures 77°
Angle COB measures 50°.
Please note that point O is located between points A and B.--
.
Which equation is a step in solving the equation |5 − 3x| + 2 = 19?
A.
5 − 3x = -17
B.
|5 − 3x| = -17
C.
5 + 3x = -17
D.
|5 + 3x| = 17
Answer:
Step-by-step explanation:
The absolute value (or modulus) | 5 - 3x | of a real number 5 - 3x is the non-negative value of 5 - 3x without regard to its sign.
| 5 - 3x| + 2 = 19
| 5 + 3x | = 19 - 2
| 5 + 3x | = 17
Ans: D
MARCIA VA A ILUMINAR EN ESPACIO TEATRAL CON FOCOS QUE TIENEN DIFERENTES ANGULOS DE ILUMINACION Y PARA ELLO NECESITA CALCULAR CUANTO MIDEN DOS DE ESOS ANGULOS. LOS DATOS QUE TIENEN SON LOS SIGUIENTES LA MITAD DE LA AMPLITUD DE "A" CORRESPONDE A 3/5 DE QUE LO QUE MIDE EL ANGULO "B" Y EL ANGULO"B" MIDE EL TRIPLE QUE EL ANGULO "C". SI EL ANGULO "C" MIDE 43° Y 20 CUAL ES LA AMPLITUD DEL ANGULO"A" Y EL "B"
The amplitude of angle A is 113.4° and the amplitude of angle B is 189° if angle c is 35° and 20°.
Let x be the amplitude of angle A, and y be the amplitude of angle B.
We know that half of the amplitude of angle A is equal to 3/5 of the amplitude of angle B, so we can write the equation: x/2 = 3/5 × y.
We also know that angle B is three times the size of angle C, where angle C measures 43° and 20, so angle B is equal to 3 × (43° + 20).
We can use equation (3) to find the amplitude of angle B: y = 3 × (43° + 20) = 189°.
Now that we know the value of y, we can substitute it into equation (2) to find the amplitude of angle A: x/2 = 3/5 × y = 3/5 × 189° = 113.4°.
Learn more about the angles at
brainly.com/question/28957899
#SPJ4
The question is -
MARCIA IS GOING TO LIGHT UP A THEATRICAL SPACE WITH LIGHTS THAT HAVE DIFFERENT ANGLES OF ILLUMINATION, AND TO DO SO SHE NEEDS TO CALCULATE TWO OF THOSE ANGLES. THE GIVEN DATA IS: HALF OF THE AMPLITUDE OF "A" IS EQUAL TO 3/5 OF THE MEASURE OF ANGLE "B," AND ANGLE "B" IS THREE TIMES THE SIZE OF ANGLE "C." IF ANGLE "C" MEASURES 43° AND 20, WHAT IS THE AMPLITUDE OF ANGLE "A" AND "B"?
true or false: in the united states, mortality data have a high degree of completeness. group of answer choices true false
The given statement "in the united states, mortality data have a high degree of completeness" is False because the United States has a relatively good system for tracking mortality data, but it is not complete.
In fact, there are several challenges that make it difficult to accurately record all deaths in the country. One major challenge is the lack of uniformity in reporting across states and jurisdictions. Different states may use different methods for determining the cause of death, and this can lead to inconsistencies in the data.
Additionally, there may be cases where a death is not recorded at all, either due to errors in reporting or because the death occurred outside of a healthcare setting. This is particularly true for deaths related to drug overdoses, which may not always be correctly identified.
While efforts are being made to improve the completeness of mortality data in the United States, it is still important to recognize that there are limitations to the data that are available.
You can learn more about mortality data at: brainly.com/question/13664524
#SPJ11
A 30 pack of copy paper cost $48.30 a 32 pack cost $49.60 which is the better buy (help me explain it)
Answer:
Step-by-step explanation:
the 32 pack because it costs just slightly more
12 friends shared 8 small pizzas equally how much pizza did each person get?
Each person would receive 10.67π square inches of pizza.
If 12 friends shared 8 small pizzas equally, we need to determine the amount of pizza each person would receive. To do this, we can start by calculating the total amount of pizza in all 8 small pizzas.
Assuming that each small pizza has the same size, we can divide the total amount of pizza by the number of people sharing it to get the amount of pizza each person would get.
Let's assume that each small pizza has an area of 10 square inches, for a total area of 80 square inches for 8 small pizzas. Dividing this area equally among 12 people, each person would receive approximately 6.67 square inches of pizza.
Alternatively, if we assume that each small pizza has a diameter of 8 inches, we can use the formula for the area of a circle to calculate the total area of each small pizza:
Area = π x (radius)^2
Area = π x (4 inches)^2
Area = 16π square inches
For 8 small pizzas, the total area would be:
Total area = 8 x 16π = 128π square inches
Dividing this area equally among 12 people, each person would receive approximately 10.67π square inches of pizza.
To learn more about inches here:
https://brainly.com/question/19565829
#SPJ4
Make x the subject of
Answer:
[tex]x=[/tex] ±[tex]\sqrt{10wy} - t[/tex]
Step-by-step explanation:
[tex](x+t)^2=10wy[/tex]
[tex]x+t=[/tex] ±[tex]\sqrt{10wy}[/tex]
[tex]x=[/tex] ±[tex]\sqrt{10wy} - t[/tex]
can I get some help on this really fast?
The standard definition of a quadratic function is given as follows:
y = ax² + bx + c.
The vertex is classified as a maximum or minimum depending on the term a, which multiplies x², as follows:
If a > 0, the vertex is a minimum.If a < 0, the vertex is a maximum.More can be learned about quadratic functions at https://brainly.com/question/1214333
#SPJ1
*MATH* PLS HELP! THE PROBLEM IS IN THE IMAGE!
(PLEASE show your work or explain how you got that answer)
The scale factor that takes triangle C to triangle D is 3/10.
What is scale factor?Scale factor is a number by which the size a geometrical figure or shape can be changed with respect to its original size.
To find the scale factor that takes triangle C to triangle D, we use the formula below
Formula:
S.F = Length of triangle D/Corresponding Length of triangle CWhere:
S.F = Scale factorFrom the diagram in the question,
Given:
Hypotenus of triangle D = 3.36Hypotenus of triangle C = 11.2Substitute these values into equation 1
S.F = 3.36/11.2S.F = 0.3 = 3/10Hence, the scale factor is 3/10.
Learn more about scale factor here: https://brainly.com/question/29967135
#SPJ1
I NEED HELP ON THIS ASAP!! PLEASE IT'S DUE TODAY!
The exponential function to represent the number of new participants of the challenge as a function of the day number, is f(x) = 12 × 4ˣ.
How to find the exponential function ?Let f(x) be the number of new participants on day x.
On day 0 (today), Aliyah, Kim, and Reese are the only participants. They each send selfies to 4 friends, so there will be 3 x 4 = 12 new participants on day 1.
From day 1 onwards, each new participant will send selfies to 4 friends. Therefore, the number of new participants will quadruple each day. This gives us an exponential growth function:
f(x) = 12 × 4ˣ
where f(x) represents the number of new participants on day x.
Find out more on exponential functions at https://brainly.com/question/30257335
#SPJ1
In an expression using the logical operator ____, as soon as one of the compound conditions is found to be false, no further conditions are tested and the expression evaluates to false. a. OrElse b. Nor c. AndAlso d. Xor
In an expression using the logical operator And Also, as soon as one of the compound conditions is found to be false, no further conditions are tested and the expression evaluates to false.
The And Also operator is a short-circuiting operator that is used to combine two or more Boolean expressions. It evaluates the left-hand expression first and then the right-hand expression only if the left-hand expression evaluates to true
. If the left-hand expression evaluates to false, then the right-hand expression is not evaluated at all. This helps to improve the performance of the code by avoiding unnecessary evaluations of expressions that would not change the outcome of the overall condition.
Learn more about Boolean expressions
https://brainly.com/question/13265286
#SPJ4
In an expression using the logical operator And Also , as soon as one of the compound conditions is found to be false, no further conditions are tested and the expression evaluates to false. Therefore option c. And Also correct.
This is because the AndAlso operator employs short-circuit evaluation, meaning it stops evaluating once it encounters
the first false condition since the overall result will definitely be false.
In an expression using AndAlso, if the first condition is false, the entire expression is evaluated as false without testing
any further conditions. This is also known as short-circuit evaluation.
In contrast, the OrElse operator evaluates to true as soon as one of the compound conditions is true, without testing
any further conditions. The Nor and Xor operators are less commonly used and have different behavior.
for such more question on logical operator
https://brainly.com/question/15079913
#SPJ11
From a point P on level ground, the angle of elevation of a vertical mast is 19°. The distance from P to the
foot of the mast is 150 metres.
Calculate the height of the mast. Give your answer to 3 significant figures.
the height of the mast is approximately 51.5 meters.
what is approximately ?
"Approximately" means that the value is an estimate that is very close to the true value but may not be exact. In the context of the answer I provided, "approximately" indicates that the height of the mast is very close to 51.5 meters but may be slightly more or less than that value.
In the given question,
Let's call the height of the mast "h". We can use trigonometry to find the value of "h".
If we draw a diagram, we can see that the angle of elevation of the mast is the same as the angle between the ground and a line from P to the top of the mast. We can call this angle "θ".
We know that tan(θ) = opposite/adjacent = h/150.
We also know that tan(19°) = 0.3431 (rounded to 4 decimal places).
So we can set up an equation:
0.3431 = h/150
To solve for "h", we can multiply both sides by 150:
h = 0.3431 x 150
h = 51.465 (rounded to 3 significant figures)
Therefore, the height of the mast is approximately 51.5 meters.
To know more about height, visit:
https://brainly.com/question/10726356
#SPJ1
Which Riemann sum represents the illustration shown?
The highlighted answer was just a misclick, i dont know if its the answer or not
The Riemann sum that represents the illustration on the graph is the second option as i goes from 1 to 4:
[tex]1∑2 {(xᵢ)}^{2} [/tex]
What is the Riemann sumThe Riemann sum is a mathematical concept used to approximate the area under a curve. It is named after the German mathematician Bernhard Riemann.
The idea behind the Riemann sum is to divide the area under the curve into a series of rectangles, where the height of each rectangle is determined by the function being integrated, and the width of each rectangle is determined by the size of the intervals used to divide the domain of the function. The area of each rectangle is then calculated and added together to get an approximation of the total area under the curve.
The Riemann sum is written in the following form:
[tex]∑f(xᵢ)Δxᵢ[/tex]
where f(xᵢ) is the value of the function at the ith point in the interval, Δxᵢ is the width of the ith rectangle, and the sum is taken over all i intervals.
Thus, the Riemann sum that represents the illustration on the graph as i goes from 1 to 4 is:
[tex]1∑2 {(xᵢ)}^{2} [/tex]
Read more about Riemann sum here:https://brainly.com/question/9043837
#SPJ1