The angle of elevation from a kicker's foot on the football field to the top of the goal post is 17 degrees. If he is standing 131 feet from the base of the goal post, how tall is the goal post?​

Answer:

let base = 6cm

perpendicular =x cm

hypotenuse =10cm

by using Pythagoras law

hypotenuse ²=perpendicular ²+base²

10²=x²+6²

100-36=x²

x=√64=8cm

the measure of the other leg is 8cm

The measure of the other leg of the right triangle is equal to 8 cm.

Given the following data:

To find the measure of the other leg, we would apply Pythagorean's theorem:

Mathematically, Pythagorean's theorem is given by the formula;

[tex]Hypotenuse^2 = opposite^2 + adjacent^2[/tex]

Substituting the given parameters into the formula, we have;

[tex]10^2 = opposite^2+6^2\\\\100= opposite^2+36\\\\Opposite^2=100-36\\\\Opposite^2=64\\\\Opposite=\sqrt{64}[/tex]

Opposite = 8 cm

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Answer: 10 miles

Step-by-step explanation:

You can set this up as an equation where x will represent the number of miles charged. So if we know how much the pick up fee is, how much it is per mile and the total charge we can set up the equation as follows:

3.20 + 3x = 33.20

If we solve for x we will find out how many miles she traveled. So to do so we need to get x on one side and the other numbers on the other side of the equal sign. So to begin we'll subtract 3.20 from both sides:

3x = 30.00

and then divide both sides by 3:

x = 10

So she traveled 10 miles.

The Taxi ride was 10 miles.

An equation is an expression that shows the relationship between two or more numbers and variables.

We can set an equation where x will represent the number of miles charged. So, the total charge we can set up the equation as follows:

3.20 + 3x = 33.20

If we solve for x we will find out the miles she traveled.

Then subtract 3.20 from both sides:

3x = 30.00

then divide both sides by 3;

x = 10

Therefore, she traveled 10 miles.

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Answer:

(A) V = π(8)²h

Answer: Rectangle, Rhombus, Square

Step-by-step explanation:

Answer:

Step-by-step explanation:

The angles would be supplementary

45 + 5x + 35 = 180

5x + 80 = 180

5x = 100

x = 20

To find out why they are supplementary, refer to the transversal below

∠3 = ∠7 (corresponding angles)

∠8 = 180 - ∠7 (supplementary angles)

And since ∠7 = ∠3...

∠8 = 180 - ∠3 which is why (in the problem) those two angles are supplementary (adding to 180 degrees)

Answer:

172,872÷6=28,812.33 I believe this is the answer

Answer:

B

Step-by-step explanation:

A(-3 , 3) -> A'(-9 , 9)

B(3 , 3) -> B'(9 , 9)

C(3 , 0) -> C'(9 , 0)

A'B'C' is a dilation of ABC about the origin with factor of 3

ΔA'B'C' ~ ΔABC: all the corresponding angles are the same measurement

Step-by-step explanation:

Which expressions are equivalent to -1/4(16−12+8x)?

Select all that apply.

A. 4+3−2x

B. 2x+1

C. −2x−1

D. x

E. −4+3−2x

F. 2x−

Answer:

Lesser returns > T bills

Higher risks > A-rated bonds

Costly and time consuming > Property

No steady cash flow > stocks

Step-by-step explanation:

I just took the test

Answer:

2

Step-by-step explanation:

The greatest common factor is 2

Answer:

2

Step-by-step explanation:

2 is the greatest number that will go into both 12 and 26.

Hope this helps

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Answer:

10

Step-by-step explanation:

4(1)+2(3)=10

Nora would score 10 and for  x free throws and y three point shots x + 3y.

When graphed, a linear equation always produces a straight line because it is an algebraic equation with each term having an exponent of 1. It is referred to as a "linear equation" for this reason.

One-variable linear equations and two-variable linear equations exist.

Given

points on free throws = 1

points on 4 free throws = 4x1 = 4

and  points on 2 three point shot = 2x3 = 6

total points are 4 + 6 = 10

and if she made x free throws then points are = 1x

and for y three point shots = 3y

total points for x free and y three point shots

x + 3y

Hence the points are 10 and x + 3y.

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Answer:

∠POM and ∠POR

Step-by-step explanation:

Step-by-step explanation:

angle POM and angle QRT

Answer:

12

Step-by-step explanation:

Answer:

there are 12 men

Step-by-step explanation:

men:3×4=12

woman:8×4=32

Answer:

(b)26

Step-by-step explanation:

Step 1: Isolate the absolute value expression.

Step2: Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation.

Step 3: Solve for the unknown in both equations.

Step 4: Check your answer analytically or graphically.

Answer:

domain :- (-4, 1, 4,5)

Range:- (-3,0,0,2)

Step-by-step explanation:

Answer:

domain :- (-4, 1, 4,5)

Range:- (-3,0,0,2)

Hope this helps! :)

Answer: Never produce a rational numbers

Step-by-step explanation: IT doesnt matter if integers are added, subtracted, multiplied, or divided, intergers will always be integers.

Answer:

$3941.57.

Step-by-step explanation:

Given,

Principal,P = $3,500

rate of interest,r = 2%

Time, n = 6 years

Now, the total amount Luca has to repay is:

[tex]A = P(1+\frac{r}{100})^n[/tex]

A is the total amount.

[tex]A = 3500\times (1+\frac{2}{100})^6\\A = $3941.57[/tex]

Hence, the total money he has to repay is $3941.57.

Answer:

5

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

y = (-3/4)x + c

Sub (11,-1) into the equtaion

-1 = (-3/4)(11) + c

c = 29/4

y = (-3/4)x + 29/4

when x = -1,

y = (-3/4)(-1) + 29/4

y = 8

r = 8

Answer:

Mehmed II

Step-by-step explanation:

Answer:

the second one

Step-by-step explanation:

You are given either the x value or the y value.

Replace the x or y in the equation and solve for the missing values.

-4x + 5y = 3

First you are given x = 0:

So you have -4(0) + 5y = 3

Simplify:

0 + 5y = 3

Divide both sides by 5:

y = 3/5

Next you have x = 1:

-4(1) + 5y = 3

Simplify:

-4 + 5y = 3

Add 4 to both sides:

5y = 7

Divide both sides by 5:

y = 7/5

Third you are given y = 3

-4x + 5(3) = 3

Simplify:

-4x +15 = 3

Subtract 15 from both sides:

-4x = -12

Divide both sides by -4:

x = 3

Answer:

Hotel B is the least expensive

Step-by-step explanation:

Given

See attachment for clear details

Required

The least expensive

To do this, we simply divide the total cost by the number of nights to get the unit price

i.e.

[tex]Unit = \frac{Price}{Nights}[/tex]

Hotel A

[tex]Nights = 3\\Price= 192[/tex]

[tex]Unit = \frac{192}{3}[/tex]

[tex]Unit = \$64[/tex] per night

Hotel B

[tex]Nights = 5\\Price= 300[/tex]

[tex]Unit = \frac{300}{5}[/tex]

[tex]Unit = \$60[/tex] per night

Hotel C

[tex]Nights = 7\\Price= 455[/tex]

[tex]Unit = \frac{455}{7}[/tex]

[tex]Unit = \$65[/tex] per night

From the calculations above;

Hotel B is the least expensive because 60 is less than 64 and 65

Answer:

≈ 49.9° and ≈ 71.0°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin? = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{13}{17}[/tex] , then

? = [tex]sin^{-1}[/tex] ([tex]\frac{13}{17}[/tex] ) ≈ 49.9° ( to the nearest tenth )

----------------------------------------------------------------

Using the cosine ratio in the right triangle

cos? = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{14}{43}[/tex] , then

? = [tex]cos^{-1}[/tex] ([tex]\frac{14}{43}[/tex] ) ≈ 71.0° ( to the nearest tenth )

Answer:

13000m

Step-by-step explanation:

Given data

Total distance travelled=  65,000

Number of days= 5 days

Hence the distance covered per day is

= 65,000/5

=13000m

Therefore the distance covered per day is 13000m

Answer: The answer is 13x+y

Step-by-step explanation:

Answer:

x=-14/3,y=14/3 but if there is x at the second wan.then,x=19/2,y=-1