Greetings from Brasil...
Here we have application of Trigonometry
COS β = adjacent side ÷ hypotenuse (H)
bringing to our problem....
COS A = AC ÷ H
But we dont have AC.... We have to use Pitagoras:
AB² = AC² + BC²
AC² = AB² - BC²
AC = √(AB² - BC²)
AC = √(10² - 8²)
AC = √(100 - 64)
AC = √36
AC = 6So
COS A = AC ÷ H ⇔ COS A = AC ÷ AB
COS A = 6/10
COS A = 3/5Answer: B) 3/5
Step-by-step explanation:
Cos = adjacent/hypotenuse
Thus, the cos is AC/AB.
Because of Pythagorean Theorem, AC^2=AB^2-BC^2. Let AC be x.
[tex]x^2=10^2-8^2\\x^2=100-64\\x^2=36\\x=6[/tex]
Thus, the cos is 6/10, or 3/5
32. Mariah bought a shirt for $28.50 and a
belt. The total cost was $45.50. Which
of the following equations can be used
to find the cost of the belt?
A 28.50 +b=45.50
B 45.50 + b = 28.50
Cb= 28.50 - 45.50
D b= 28.50 x 45.50
Answer:
The correct answer is A because subtract 28.50 from 45.50 and you get the answer of 17$ for the belt
How many solutions does this system have? x-y=-4 3x+y=8 one two an infinite number no solution
Answer:
work is shown and pictured
Please answer this in two minutes
Answer: 1080 degrees
Hoped this helped :)
if 12 1/2% of a sum of money is $40, what is the TOTAL sum of money?
Answer:
$320
Step-by-step explanation:
Let the total sum of money be $x.
Therefore,
12 1/2% of x = 40
25/2% * x = 40
0.125 * x= 40
x = 40/0.125
x = $320
Thus, total sum of money is $320.
i need help quick i will mark brainilest
Answer:
x-y
Step-by-step explanation:
X is greater than y so we are subtracting the smaller number from the bigger number
That means we do not need the absolute value signs since x-y will be positive
|x-y| when x> y
x-y
Using numbers
| 5-2| 5>2
5-2
ratio
simplify
4x:9=7:3
Answer:
4x:9=7:3 can be written as
[tex] \frac{4x}{9} = \frac{7}{3} [/tex]
Cross multiply
We have
4x(3) = 9 × 7
12x = 63
Divide both sides by 12
[tex]x = \frac{21}{4} \: \: \: \: \: or \: \: \: 5 \frac{1}{4} [/tex]
Hope this helps you
Answer:
[tex]\boxed{x=\frac{21}{4}}[/tex]
Step-by-step explanation:
[tex]4x:9=7:3[/tex]
Turn ratios to fractions.
[tex]\frac{4x}{9} =\frac{7}{3}[/tex]
Cross multiplication.
[tex]4x \times 3 = 9 \times 7[/tex]
Simplify.
[tex]12x=63[/tex]
Divide both sides by 12.
[tex]x=\frac{63}{12}[/tex]
[tex]x=\frac{21}{4}[/tex]
Angle 6 and 7, are complementary angles?
Answer:
Hey there!
Angle 6 and angle 7 are actually supplementary angles, which are angles that add to 180 degrees.
Complementary angles are angles that add to 90 degrees.
Hope this helps :)
Answer:
∠6 & ∠7 are not complementary angles
Step-by-step explanation:
∠6 & ∠7 are supplementary angles on a line
Which rule describes the x-coordinates in the translation below?. On a coordinate plane, triangle A B C is shifted 6 units up.
Answer:
The answer is A: x + 0
Step-by-step explanation:
I got it correct on Edge. Please give 5 stars and have a great day! :)
The translation of the x-coordinate is written as x⇒0 for the triangle ABC.
What is translation?A translation in mathematics moves a shape left, right, up, or down but does not turn it. The translated (or image) shapes appear to be the same size as the original shape, indicating that they are congruent. They've just moved in one or more directions.
A coordinate system is a two-dimensional number line, such as two perpendicular axes. This is an example of a typical coordinate system: The horizontal axis is referred to as the x-axis, and the vertical axis is referred to as the y-axis.
Given that on a coordinate plane, triangle A B C has shifted 6 units up. The x translation for the triangle is zero.
The x-coordinate translation is written as,
x ⇒ 0
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3/x-2, i'm confused as to what the horizontal asymptote is. The resources I found online conclude that it has a horizontal asymptote of y=0. I know that in order for a horizontal asymptote to be y=0, the denominator has to have a greater degree than the numerator. Im confused because doesn't the numerator have the same degree as the denominator (degree of 1)?
Answer:
y = 0
Step-by-step explanation:
Given
f(x) = [tex]\frac{3}{x-2}[/tex]
The degree of the numerator is zero 0 ( 3[tex]x^{0}[/tex] )
The degree of the denominator is 1
Since the degree of denominator > degree of numerator.
Then there is a horizontal asymptote at y = 0
Lines L and K are parallel to each other. Measure of angle A= 120 degrees, and measure of angle C= 80 degrees. What is the number of degrees in measure of angle B? Please answer ASAP! Thanks!
Answer:
160°
Step-by-step explanation:
The way I am doing it may not be the correct way but it works. What I did was take 90° away from 120° to make it 30° as if there is a line. I did this so I could make a triangle. Using the triangle addition postulate, I Added 30 to 80 to get 110 than subtracted that from 180 to get 70. Lastly, i added 90° to 70° to get 160°
Hope this helped you get the answer :)
The measure of angle B in Parallel lines will be 160°.
What are parallel lines?
Parallel lines are those lines that never intersect at any point and always maintain a constant distance.
We have,
Lines L and K are parallel to each other.
And,
The measure of angle A = 120°
The measure of angle C = 80°
Now,
Draw a straight line from A to B,
So, that ∠BAl = 90° and
∠ABk = 90°
We get,
ΔABC,
Now in ΔABC,
∠C = 80°
∠A = 120 - 90 = 30°
So, Using Tringle angle sum property,
80° + 30° + ∠ABC = 180°
⇒
∠ABC = 180° - 110°
∠ABC = 70°,
Now,
Adding ∠ABC and ∠ABk, to get ∠CBk,
i.e.
∠CBk = ∠ABC + ∠ABk = 70° + 90°
∠CBk = 160°
Hence we can say that the measure of angle B will be 160°.
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the sum of x and y is twice x. y=
Answer:
y is x because if x+y is 2x then y must equal x
The sum of x and y is twice x. Then the value of y will be equal to x.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
It is given that sum of x and y is twice x. Then the value of y will be calculated as below:-
x + y = 2x
y = 2x - x
y = x
Therefore, the sum of x and y is twice x. Then the value of y will be equal to x.
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Helpppppppppp pleasessssss
Answer:
A.
Step-by-step explanation:
When it says (x + 7), that means the graph will be shifting to the right (so parallel to the x-axis.
Write each of the following expressions without using absolute value.
|a−7|−|a−9|, if a<7
PLEASE HELP!!!! D:
=======================================================
If a < 7, then |a-7| = -(a-7) = -a+7 based on how absolute value functions are constructed. We're using the idea that
[tex]|x-k| = \begin{cases}x-k \ \text{ if } \ x \ge k\\ -(x-k) \ \text{ if } \ x < k\end{cases}[/tex]
Also, if a < 7, then |a-9| = -(a-9) = -a+9. This is true whenever 'a' is less than 9 for similar reasoning as above.
---------
So we have,
|a-7| - |a-9| = -a+7 - (-a+9) = -a+7+a-9 = -2
As long as a < 7, the result of |a-7| - |a-9| will always be -2.
---------
As an example, let's say a = 0
|a-7| - |a-9| = |0-7| - |0-9|
|a-7| - |a-9| = |-7| - |-9|
|a-7| - |a-9| = 7 - 9
|a-7| - |a-9| = -2
I recommend you try out other values of 'a' to see if you get -2 or not. Of course only pick values that are smaller than 7.
Help me pls, it’s for right now
Answer:
c
Step-by-step explanation:
Please help.............
.
Answer:
The length of arc is (7/12)π cm.
Step-by-step explanation:
Given that the formula to find the length of arc is Arc = (θ/360)×2×π×r where θ represents degrees and r representa radius. Then you have to substitute the following values into the formula :
[tex]arc = \frac{θ}{360} \times 2 \times \pi \times r[/tex]
[tex]let \: θ = 30 \\ let \: r = 3.5[/tex]
[tex]arc = \frac{30}{360} \times 2 \times \pi \times 3.5[/tex]
[tex]arc = \frac{1}{12} \times 7 \times \pi[/tex]
[tex]arc = \frac{7}{12} \pi \: \: cm[/tex]
At a pond, there were 24 ducks swimming. The ratio of ducklings to adult ducks is 5:1. How many ducklings were swimming at the pond?
Answer:
Hey there!
The ratio of ducklings to adult ducks is 5:1.
This means for every six ducks, five are ducklings and one is an adult.
If there are 24 ducks, then 5 times 4 = 20 ducklings and 4 adults.
Thus, there are 20 ducklings.
Hope this helps :)
Answer:
20 ducklings.
Step-by-step explanation:
A bag contains 1 blue, 2 green, and 3 red marbles, as shown. 1 blue marble, 2 green marbles, and 3 red marbles. What is the probability of drawing a green marble out of the bag without looking? StartFraction 1 over 6 EndFraction One-fifth One-third One-half
Answer:
1/3!
Step-by-step explanation:
Good Luck On Whatever You Needed This For!
The probability of drawing a green marble out of the bag without looking is 1/3.
Given that, a bag contains 1 blue, 2 green, and 3 red marbles.
What is the probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favorable outcomes/Total number of outcomes
Total number of outcomes =1+2+3 =6
Number of favorable outcomes = 2
Now, probability of drawing green marble
= 2/6
= 1/3
Therefore, the probability of drawing a green marble out of the bag without looking is 1/3.
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f(x) = x^2 - 4x + 3 f(x) = 1/2x + p The system of equations above, when graphed in the xy-coordinate plane, intersects at the point (4, q). What is p?
Answer:
p = 1
Step-by-step explanation:
Given that the system intersect at (4, q) then this point satisfies both equations, that is
q = 4² - 4(4) + 3
q = [tex]\frac{1}{2}[/tex] (4) + p
Equating both gives
16 - 16 + 3 = 2 + p, that is
3 = 2 + p ( subtract 2 from both sides )
p = 1
A combination lock has 6 different numbers. If each number can only be used ONCE, how many different combinations are possible?
Answer:
151200 possible combinations
Step-by-step explanation:
There are 10 digits 0 - 9 ( 0,1,2,3,4,5,6,7,8,9)
There are 10 choices for the first digit
10
There are 9 choices for the second digit
9
There are 8 choices for the third digit
8
and so on since we can only use each digit once
10 *9*8 *7 *6*5
151200 possible combinations
State the number of possible triangles that can be formed using the given measurements.
Answer: 39) 1 40) 2
41) 1 42) 0
Step-by-step explanation:
39) ∠A = ? ∠B = ? ∠C = 129°
a = ? b = 15 c = 45
Use Law of Sines to find ∠B:
[tex]\dfrac{\sin B}{b}=\dfrac{\sin C}{c} \rightarrow\quad \dfrac{\sin B}{15}=\dfrac{\sin 129}{45}\rightarrow \quad \angle B=15^o\quad or \quad \angle B=165^o[/tex]
If ∠B = 15°, then ∠A = 180° - (15° + 129°) = 36°
If ∠B = 165°, then ∠A = 180° - (165° + 129°) = -114°
Since ∠A cannot be negative then ∠B ≠ 165°
∠A = 36° ∠B = 15° ∠C = 129° is the only valid solution.
40) ∠A = 16° ∠B = ? ∠C = ?
a = 15 b = ? c = 19
Use Law of Sines to find ∠C:
[tex]\dfrac{\sin A}{a}=\dfrac{\sin C}{c} \rightarrow\quad \dfrac{\sin 16}{15}=\dfrac{\sin C}{19}\rightarrow \quad \angle C=20^o\quad or \quad \angle C=160^o[/tex]
If ∠C = 20°, then ∠B = 180° - (16° + 20°) = 144°
If ∠C = 160°, then ∠B = 180° - (16° + 160°) = 4°
Both result with ∠B as a positive number so both are valid solutions.
Solution 1: ∠A = 16° ∠B = 144° ∠C = 20°
Solution 2: ∠A = 16° ∠B = 4° ∠C = 160°
41) ∠A = ? ∠B = 75° ∠C = ?
a = 7 b = 30 c = ?
Use Law of Sines to find ∠A:
[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b} \rightarrow\quad \dfrac{\sin A}{7}=\dfrac{\sin 75}{30}\rightarrow \quad \angle A=13^o\quad or \quad \angle A=167^o[/tex]
If ∠A = 13°, then ∠C = 180° - (13° + 75°) = 92°
If ∠A = 167°, then ∠C = 180° - (167° + 75°) = -62°
Since ∠C cannot be negative then ∠A ≠ 167°
∠A = 13° ∠B = 75° ∠C = 92° is the only valid solution.
42) ∠A = ? ∠B = 119° ∠C = ?
a = 34 b = 34 c = ?
Use Law of Sines to find ∠A:
[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b} \rightarrow\quad \dfrac{\sin A}{34}=\dfrac{\sin 119}{34}\rightarrow \quad \angle A=61^o\quad or \quad \angle A=119^o[/tex]
If ∠A = 61°, then ∠C = 180° - (61° + 119°) = 0°
If ∠A = 119°, then ∠C = 180° - (119° + 119°) = -58°
Since ∠C cannot be zero or negative then ∠A ≠ 61° and ∠A ≠ 119°
There are no valid solutions.
Two similar cylindrical cans hold 2 litres and 6.75 litres of liquid. If the diameter of the smaller can is 16cm, find the diameter of the larger can.
Step-by-step explanation:
It is given that,
Volume of the cylindrical can 1 is 2 litres and that of cylindrical can 2 is 6.75 litres. The diameter of the smaller can is 16 cm. We need to find the diameter of the larger can.
The formula of the volume of a cylinder is given by :
[tex]V=\pi r^2h[/tex]
So,
[tex]\dfrac{V_1}{V_2}=\dfrac{r_1^2}{r_2^2}[/tex]
Diameter, d = 2r
[tex]\dfrac{V_1}{V_2}=\dfrac{(d_1/2)^2}{(d_2/2)^2}\\\\\dfrac{V_1}{V_2}=(\dfrac{d_1^2}{d_2^2})[/tex]
V₁ = 2 L, V₂ = 6.75 L, d₁ = 16 cm, d₂ = ?
[tex]\dfrac{2}{6.75}=(\dfrac{16^2}{d_2^2})\\\\d_2=29.39\ cm[/tex]
So, the diameter of the larger can is 29.39 cm.
A lead ball weighs 326 grams. Find the radius of the ball to the nearest tenth of a centimeter. the lead=11.35g/cm³
Answer:
3.14
Step-by-step explanation:
Which graph represents the function f(x)=|x−3|+1 ?
Answer:
the first one (in quadrant 1, pointing upwards)
Step-by-step explanation:
since the function is positive the graph will be facing upwards and start off at 1
SOMEONE PLS HELP ASAP!!!
The exponential function h, represented in the table, can be written as h(x)=a⋅b^x.
x h(x)
0 10
1 4
Complete the equation for h(x) h(x)=?
Answer: [tex]h(x)=10(0.4)^x[/tex]
Step-by-step explanation:
The exponential function h, represented in the table, can be written as [tex]h(x)=ab^x[/tex]
From table, at x=0, h(x) =10
Put theses values in equation,, we get
[tex]10=a.b^0\\\\\Rightarrow\ 10= a (1)\\\\\Rightarrow\ a= 10[/tex]
Also, for x= 1 , h(x) = 4, so put these values and a=10 in the equation , we get
[tex]4=10b^1\\\\\Rightarrow\ b=\dfrac{4}{10}\\\\\Rightarrow\ b= 0.4[/tex]
Put value of a and b in the equation ,
[tex]h(x)=10(0.4)^x[/tex] → Required equation.
Karissa begins to solve the equation StartFraction one-half EndFraction left-parenthesis x minus 14 right-parenthesis plus 11 equals StartFraction one-half EndFraction x minus left-parenthesis x minus 4 right-parenthesis.. Her work is correct and is shown below.
Answer:
0
Step-by-step explanation:
Answer: it's C. 0
Also Happy early Christmas
PLEASE HURRY I NEED HELP BAD
An equation is shown below:
5(2x – 3) = 5
Part A: How many solutions does this equation have? (4 points)
Part B: What are the solutions to this equation? Show your work. (6 points)
Answer:
One solution
2
Step-by-step explanation:
5(2x-3)=5
10x-15=5
10x=5+15
10x=20
x=2
Part A: 1
Part B: It has only one solution and it is 2.
Hope this helps ;) ❤❤❤
Answer:
I believe 1 solution
Step-by-step explanation:
divide both side of equation by 5= 2x-3)=1
add 3 to each side= 2x=1+3
2x=4
x=2
3 3/8 divided by 9 =
Answer:
0.375
Hope this helps....
Have a nice day!!!!
Answer:
3/8
Step-by-step explanation:
Hey there!
[tex]\frac{3}{8} = \frac{3*8+3}{8} = \frac{24 + 3}{8} = \frac{27}{8}[/tex]
[tex]\frac{27}{8} = \frac{27 / 9}{8} = \frac{3}{8}[/tex]
= 3/8
Hope this helps :)
A linear inequality in one variable is a linear equation in one variable with the equals symbol replaced by an inequality symbol. True or False?
Answer:
True
Step-by-step explanation:
Example:
8 = 3 x - 5 is the equation in one variable
an associated linear inequality in one variable is for example:
8 < 3 x - 5
A student stands 20 m away from the footof a tree and observes that the angle of elevation of the top of the tree, measured from a table 1.5 m above the ground, is 34°28'. Calculate the height of the tree tothe nearest metre.
Answer:
6 to the north
Step-by-step explanation:
mark as brainliest
the square root of 5 is
Step-by-step explanation:
The square root of 5 can be approximately found by doing the square root of 4 to get 2, and the square root of 9 to get 3. Then, because 5 is closer to 4 than 9, the square root of 5 is about 2.2.
Otherwise, simply do sqrt(5) in a calculator to get 2.23606798
Hope it helps <3