Answer:
x =4
Step-by-step explanation:
hope this is the correct answer
Answer: B
Step-by-step explanation: B: 5^2-3^2 = 25-9 = 16. the square root of 16 is 4, so x=4
I need a quick response! Please help!
A park ranger sees a fire from an observation deck 120 feet high. The fire is at an angle of
depression 2.5 degrees. How far is the fire from base of the observation deck ?
Answer: 2748.5 feet
Step-by-step explanation:
Given that the
Height h = 120 feet.
angle of depression = 2.5 degrees
The angle of depression is equal to the angle of elevation.
The base of the observation deck will be achieved by using trigonometry ratio.
Tan Ø = opposite/ adjacent
Opposite = height = 120 feet
Adjacent = base = ?
Substitutes the given parameters into the trigonometry ratio.
Tan 2.5 = 120 / adjacent
Adjacent = 120 / tan 2.5
Adjacent = 2748.452
Therefore, the base of the observation deck is 2748.5 feet
Complete the point-slope equation of the line through (1,3) (5,1) y-3=?
Answer:
[tex]\huge\boxed{y-3=-\frac{1}{2}(x-1)}[/tex]
Step-by-step explanation:
Point-slope is:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]m-\text{This represents the slope.}\\\\(x_1,y_1)-\text{This represents the point used in the equation.}[/tex]
Our goal:We have to complete the point-slope equation of the line through (1,3) (5,1).
--------------------------------------------------------
We have a incomplete equation of the line.
[tex]y-3=m(x-x_1)[/tex]
We need to find the slope of the line, and the value of [tex]x_1[/tex].
--------------------------------------------------------
Finding 'x1':It seems that the value of 3 was used to be [tex]y_1[/tex]. This means that the point [tex](1,3)[/tex] was used for the equation. This means that [tex]x_1[/tex] would have to be 1.
Finding Slope:Slope is rise over run.
[tex]m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given the points (1,3) and (5,1).
[tex]m=\frac{1-3}{5-1}=\frac{-2}{4}=\frac{-1}{2}=\boxed{-\frac{1}{2}}[/tex]
The slope is one-half.
--------------------------------------------------------
We now have enough information to complete the point-slope equation.
[tex]{\left \{ {{x_1=1} \atop {m=-\frac{1}{2} }} \right.}\\\\y-3=m(x-x_1)\rightarrow\boxed{y-3=-\frac{1}{2}(x-1)}[/tex]
Our final equation is:
[tex]y-3=-\frac{1}{2}(x-1)[/tex]
There are 20 players on a soccer team. From them, a captain and an alternate captain have to be chosen. How many possibilities are there?
Answer:
190 possibilities.
Step-by-step explanation:
The problem is called 20 choose 2, given by the formula for combinations
C(20,2) = 20! / (2! (20-2)!) = 190
alternatively, we can reason it this way:
there are 20 choices to choose a captain and 19 choices for an alternate captain for a total of 380 ways.
However, there are 20 choices to choose an alternate captain and 19 choices for a captain for a total of 380 ways.
Since we are essentially double counting every choice of the posts, we need to divide 380 by 2 to get 190 ways.
What is the mean average deviation (MAD) of the data set shown below? Round your answer to the nearest tenth when necessary.
Answer:
18
Step-by-step explanation:
to find the MAD you add all of the numbers first 22+19+30+13+17+21+8+15+12+23= 180
then you divide it by how many numbers there are for instance there are 10 because there are 10 pairs of numbers then you divide it by 180 and you get 18
hope it helped :)
Write the equations after translating the graph of y = | 1 /2 x−2|+3 one unit down,
Answer:
[tex]y=|\frac{1}{2} x-2|+2[/tex]
Step-by-step explanation:
If your original function is:
[tex]y=|\frac{1}{2} x-2|+3[/tex]
the translation of its graph vertically down one unit, can be obtained by simply subtracting 1 from the whole functional expression:
[tex]y=|\frac{1}{2} x-2|+3-1=|\frac{1}{2} x-2|+2[/tex]
Plz help me -5=-1/6b
Answer:
b = 30
Step-by-step explanation:
-5=-1/6b
Multiply each side by -6 to isolate b
-5 * -6 = -6 * -1/6 b
30 = b
What is the inverse of the function f(x)=-\dfrac{1}{2}(x+3)f(x)=− 2 1 (x+3)f, left parenthesis, x, right parenthesis, equals, minus, start fraction, 1, divided by, 2, end fraction, left parenthesis, x, plus, 3, right parenthesis
Answer:
The inverse of the function is
-2x-3
Step-by-step explanation:
The inverse of the function f(x) = -\dfrac{1}{2}(x+3) is f(x)⁻¹ = -2x - 3
What is the inverse of a function?The inverse of a function is a function that gives us the actual value for which the desired function has a given result.
The given function is:
[tex]\mathbf{ f(x)=-\dfrac{1}{2}(x+3)}[/tex]
To find the inverse, we need to follow the following steps
replace the role of f(x) by y;[tex]\mathbf{ y=-\dfrac{(x+3)}{2}}[/tex]
Swap x and y variables[tex]\mathbf{ x=-\dfrac{(y+3)}{2}}[/tex]
Solve for y;2x = - (y + 3)
2x = -y - 3
y = -2x - 3
Writing back in inverse notation, we have:
f(x)⁻¹ = -2x - 3
Learn more about the inverse of a function here:
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QUESTION 8
Simplify the expression
(5-4 (25)*)?
expressing the answer as a power of 5.
Step-by-step explanation:
Do you mean (5-4)*(25) or 5-4(25)
(5-4) * (25)
= 5^2
Or
5-4(25)
=5 - 100
=-95
?
If the rectangle below is enlarged by a scale factor of 1.8, what will be the perimeter of the new rectangle? 39.4 units 43.2 units 45.6 units 48.2 units
Answer:
43.2 units
Step-by-step explanation:
On this problem you would just find the perimeter which is 2(l+w) and that is 24 units and after you do that you would just have to multiply the perimeter 24 times 1.8 which would leave you with and answer of 43.2 units.
Answer:
New length = 3.5 x 8 = 28 cm
New width = 3.5 x 6 = 21 cm
Step-by-step explanation:
Perimeter = 2(28) + 2(21) = 56 + 42 = 98 cm
Area = 28 x 21 = 588 square cm
Write an equation and solve it to answer each question:
A pile of 55 coins, consisting of nickels and dimes, is worth $3.90. find the number of each.
You have to Answer like this:
If there are x nickels, then the equation is______
The number of nickels is_____
the number of dimes is______
Answer:
there are 25 nickels and 30 dimes
Match the number with its opposite.
Answer:
3.2 matches with (A) -3.3
-2.3 matches with (C) 2.3
-1.5 matches with (B) 1.5
5.1 matches with (D) -5.1
Does anyone know this one! Thanks
Answer: 22.4 cm!
Step-by-step explanation:
If you have the measurements of one side of an equal sided octagon, then you multiply that number (which in this case is 2.8) by 8. Hope this helps!
(1 mark)
13.
The time to finish a certain work decreases as the number of worker increases
in number. What kind of proportion is illustrated in the situation?
Answer:
Inverse proportion
Step-by-step explanation:
Inverse proportion: in this type of relation, two quantities proportion such that one decreases and other increases or vice-versa.
So, in the given question when the number of workers increases, time is taken for certain work decreases.
So, Inverse proportion is the correct answer.
What is a Stem-and-Leaf plot?
4-5 sentences.
Answer:
A stem and leaf plot is a special table where each data value is split into a "stem" (the first digit or digits) and a "leaf" (usually the last digit). The "stem" values are listed down, and the "leaf" values go right (or left) from the stem values.
Step-by-step explanation:
Example: Long Jump
Sam got his friends to do a long jump and got these results:
long jump
2.3, 2.5, 2.5, 2.7, 2.8 3.2, 3.6, 3.6, 4.5, 5.0
And here is the stem-and-leaf plot:
Stem Leaf
2 3 5 5 7 8
3 2 6 6
4 5
5 0
Stem "2" Leaf "3" means 2.3
Note:
Say what the stem and leaf mean (Stem "2" Leaf "3" means 2.3)
In this case each leaf is a decimal
It is OK to repeat a leaf value
5.0 has a leaf of "0"
What is the volume of the following rectangular prism?
Answer:
Step-by-step explanation:
The formula is V= w h l
So it’s be V= 16 1/4 x 1/2
V= 16.25 x .50
V= 8.125
V=8
Isabella filled her pool with water at a constant rate. The table compares the remaining volume of water left to fill the pool (in liters) and the time since Isabella started filling the pool (in minutes).
Time (m) Remaining Volume (L)
4 148
6 112
8 76
What is the size of her pool?
Answer:
It was kinda hard to really understand your question but as of all the information that I received the answer is 220 liters
Step-by-step explanation:
please help attachment
Answer:
v = 7
Step-by-step explanation:
a. v = 5x + 2y
= 5 × 3 + 2 × -4
= 15 + -8
= 7
Sorry I know only the A one anyways , hope this helps :)
Answer:
Step-by-step explanation:
a v = 5x+ 2y = 5*3 + 2*-4 = 7
b 3p(p+5) = 3p^2 =15p
c 4k = 44
k=44/4 =11
i hope the person who had deleted my answer this much explanation is only required if not please say so that I can correct myself by ellaborating ...
Right isosceles triangles are constructed on the sides of a 3−4−5 right triangle, as shown. A capital letter represents the area of each triangle. What is [tex]\frac{X+Y}{Z}[/tex]
Answer:
1
Step-by-step explanation:
because the triangles are isosceles, that means that the area of Z is 5x5x1/2, which equals 12.5
the area of X is 4.5
the area of y is 8
(8+4.5)/(12.5) = 1
What is the midpoint of the segment below?
(3,5)
(-6,-6)
A. (-1.5, -0.5)
B. (0,0)
C. (1.5, 0.5)
D. (0.5, -0.5)
Answer:
The answer is option A.
( - 1.5 , - 0.5)Step-by-step explanation:
Midpoint of a line is given by
[tex] (\frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]
Where ( x1 , y1 ) and ( x2 , y2) are the points
Midpoint of (3 , 5) and ( - 6 , - 6) is
[tex]( \frac{3 - 6}{2} , \: \frac{5 - 6}{2} )= ( - \frac{3}{2} , \: - \frac{1}{2} )[/tex]
We have the final answer as
( - 1.5 , - 0.5)
Hope this helps you.
Answer:
A. (-1.5, -0.5)Step-by-step explanation:
[tex](3,5), (-6,-6)\\Midpoint = [\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} ]\\x_1 = 3\\y_1=5\\x_2 =-6\\y_2 = -6\\\\Midpoint = [\frac{3+(-6)}{2} , \frac{5+(-6)}{2} ]\\Midpoint = [ \frac{3-6}{2} , \frac{5-6}{2} ]\\\\Midpoint = [-\frac{3}{2} ,-1/2]\\\\Midpoint = [ -1.5 , -0.5][/tex]
is 5 rational or irrational
Answer:Rational
Step-by-step explanation:
Every integer is a rational number, since each integer n can be written in the form n/1.
Answer:
Rational
................
It is estimated that there are deaths for every 10 million people who use airplanes. A company that sells flight insurance provides $100,000 in case of death in a plane crash. A policy can be purchased for $1. Calculate the expected value and thereby determine how much the insurance company can make over the long run for each policy that it sells.
Answer:
answer is a
Step-by-step explanation:
i took the exam
Write a word phrase that represents x + 5.
Answer:
5 added to a number, x.
Step-by-step explanation:
I phrased it like other ones I saw before so... :) (Also if you ask someone to write it, I'm sure they'd get x+5)
Answer:5 added to a number, x
Step-by-step explanation:
WILL MARK BRAINLIEST Beth has a graph to represent her distance when she runs 5 miles per hour. What would the point (2, 10) mean on her graph? Explain what this graph might look like.
Answer:
Ok so you have to find how much it goes up at a time. So the first one is 1,5. Then multiply both by 5 to get 5,25. That is your answer then. The graph will have 5 on the bottom and 25 on the side.
Step-by-step explanation:
The graph below represents which systems of inequalities?
A. Y> 2x+3
y>+3
B. Y<2x+3
y
C. Y<3x+2
y<-x+2
D Y> - 2x+ 3
y>x+3
Answer:
y ≤ x + 3
y ≤ -2x + 3
Step-by-step explanation:
Graph attached shows two solid lines having equal y-intercepts as 3 units.
Since one line passes through two points (0, 3) and (-3, 0),
Slope of this line 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{3-0}{0+3}[/tex]
= 1
Let the equation of the this line is,
y = mx + b
where m = slope of the line
b = y-intercept
Therefore, equation of the line having slope = 1 and y-intercept = 3 units,
y = 1.x + 3
y = x + 3
Since, shaded region shown is on the left of the line y = x + 3
Therefore, y ≤ x + 3 will be the inequality with shaded area in green.
Slope of the second line passing through (0, 3) and (1.5, 0)
m' = [tex]\frac{3-0}{0-1.5}[/tex]
= -2
Therefore, equation of the second line will be,
y = (-2)x + 3
y = -2x + 3
Since shade area (In yellow) is below the given solid line, equation of the inequality will be,
y ≤ -2x + 3
The two non-parallel sides of an isosceles trapezoid are each 7 feet long. The longer of the two bases measures 22 feet long. The sum of the base angles is 140°. a. Find the length of the diagonal. b. Find the length of the shorter base. Round your answers to the nearest hundredth. show work please!
Answer:
Step-by-step explanation:
as the non parallel sides are equal and it is a trapezoid.∴ base angles are equal.each base angle=1/2×140=70°let the foot of perpendicular from end of shorter side is at distance x from nearest end of longer side.[tex]\frac{x}{7}=cos ~70\\x=7 \times cos~70 \approx 2.394\\2x \approx 4.788 \approx 4.79\\[/tex]shorter side=22-4.79=17.21 ftto find diagonal use cos formula[tex]cos ~70=\frac{22^2+7^2-d^2}{2*22*7} \\308 cos~70=484+49-d^2\\d=\sqrt{533-308~cos~70} \approx~20.68\\where ~d~is~diagonal.[/tex]d=20.68 fta. The length of the diagonal is approximately 15.74 feet.
b. The length of the shorter base is approximately 27.77 feet.
a. To find the length of the diagonal (d), we can use the given information and the formulas mentioned. Let's substitute the values into the formula:
h = (7/2) * tan(140°)
h ≈ (7/2) * (-1.376381920471173)
h ≈ -4.796335681196056
Now, substitute the values into the formula for the diagonal:
[tex]d = \sqrt{(22 - x)^2 + [(7/2) * tan(140\°)]^2}\\\\d = \sqrt{(22 - 7)^2 + [(-4.796335681196056)]^2}\\\\d = \sqrt{15^2 + 23.011228900189124}\\\\d = \sqrt{225 + 23.011228900189124}\\\\d = \sqrt{248.011228900189124}\\\\d = 15.74[/tex]
Therefore, the length of the diagonal is approximately 15.74 feet.
b. To find the length of the shorter base (b), we can use the given information and the law of cosines:
[tex]b^2 = 7^2 + 22^2 - 2 * 7 * 22 * cos(140\°)\\\\b^2 = 49 + 484 - 2 * 7 * 22 * cos(140\°)\\\\b^2 = 533 - 308 * cos(140\°)\\\\b^2 = 533 - 308 * (-0.766044443118978)\\\\b^2 = 533 + 236.924\\\\b^2 = 769.924\\\\b = 27.77[/tex]
Therefore, the length of the shorter base is approximately 27.77 feet (rounded to the nearest hundredth).
To know more about length, refer here:
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Select the correct answer from each drop-down menu. At a business conference, there were 10 social workers, 16 doctors, 5 lawyers, and 2 journalists. If a person is picked at random from the entire group, it is to be/likely/unlikey/niether. be a lawyer, and it is to be a doctor.
Answer:
If a person is picked at random from the entire group, it is
unlikely
to be a lawyer, and it is.....
Unlikely was right but likely was wrong
Step-by-step explanation:
I honestly don't know the answer and that the person above me makes no sense.
he said "If a person is picked at random from the entire group, it is
unlikely
to be a lawyer, and it is.....
Unlikely was right but likely was wrong
WHAT IS THE ANSWER TO THE DOCTOR PART???
Which of the following relations is not a function? x y 0 1 1 4 -1 4 x y 0 2 1 3 1 -3 x y 0 -2 1 -3 -2 5 x y 0 -2 1 -2 2 -2
Answer:
-1 4 x y
Step-by-step explanation:
Rose is making necklaces. She needs 7 sapphires and 6 rubies to make one necklace. Complete the double number line diagram to show the numbers of rubies and sapphires Rose needs to make 1 , 2 3 and 4 necklaces.
Answer:
B
Step-by-step explanation:
1. George want to score at least a 90% on his math tests this quarter. So far his test scores are 88, 97 and
80. What does George need to score on his last test to average at least 90%?
Define variable:
Equation:
Solution:
check my work please! it’s number 1 :)
Answer:
Yes you are correct.
Step-by-step explanation:
The best way to check theese types of questions is go back in plug in X with your answer so 88+97+80+90(which is x)=360 then divide by 4 and get 90! So yes you are correct good job!
question 9: consecutive angles in a parallelogram are___ A: cute B: congruent C: parallel D: Supplementary E: Convex
Answer:
Consecutive angles in a parallelogram are, D supplementary.
Step-by-step explanation:
Consecutive angles in a parallelogram will always sum to 180 degrees.
Answer:
Supplementary
Step-by-step explanation:
Correct answer in Ap3x. Just took the quiz.