Scott set up a volleyball net in his backyard. One of the poles, which forms a right angle with the 15) ground, is 7 feet high. To secure the pole, he attached a rope from the top of the pole to a stake 5 feet from the bottom of the pole. To the nearest tenth of a foot, find the length of the rope.

Answers

Answer 1

Answer:

8.6 feets

Step-by-step explanation:

From the scenario described :

The length of the rope, h is the hypotenus. From the data Given, we cannot obtain how far wthe bird will need to fly directly, we use Pythagoras rule to calculate the hypotenus of the triangle :

Hypotenus, h = sqrt(opposite² + adjacent²)

h = sqrt(7² + 5²)

h = sqrt(49 + 25)

h = sqrt(74)

h = 8.6 feet


Related Questions

Solve for x, 2-x= -6-4x
a . -2/3
b.-2/5
c-8/3
d.-8/5​

Answers

Answer:

-8/3

Step-by-step explanation:

2 - x = - 6 - 4x      <-- Add 4x to the left side

2 + 3x = - 6          <-- Subtract 2 from the left side

3x = -8             <-- Divide 3 on both sides

x = -8/3

Answer:

x = -8/3

Step-by-step explanation:

Consolidate x terms on the right side:

2-x= -6-4x becomes 2-x + x = -6-4x + x, which in turn becomes:

2 = -6 - 3x, or 3x = -8.  Then, dividing both sides by 3, we get x = -8/3

Marcello is investigating plant growth. The flowers he planted in his garden were expected to grow two inches in one year. This year there was more rainfall, so the flowers grew three inches. What percentage more did the flowers grow than was expected?
25%
50%
75%
100%

Answers

Answer:

50%

Step-by-step explanation:

it was predicted to grow 2 inches and that would be 100% each inch is 50% it grew one inch more than predicted so it grew 50% more

please help me, I'm stuck on the second one. ​Also for i) i got angle ABD because angles in a semicircle measures 90 degree and OAX because the angle between the tangent and a radius is 90 degrees

Answers

Answer:

i)

DA is diameter and AX is tangent to circle

Your answer is correct

m∠ABD = 90°, m∠DAX = 90°

ii)

Given m∠BAX = 42° and ∠DAB is complementary with BAX ⇒

m∠DAB = 90° - 42° = 48°

DC = BC ⇒ intercepted arcs are same ⇒

∠CDB = ∠BDC

mDC = mCB ⇒ mDCB = ∠DAB = 48° ⇒

m∠CDB = m∠BDC = 1/2*48 = 24°

iii)

∠CBA

∠CBA is supplementary with ∠ADC as opposite angles of cyclic quadrilateral (∠ADB = ∠BAX = 42°)

m∠ADC = m∠ADB  + m∠CDB = 42° + 24° = 68°m∠CBA = 180° - m∠ADC = 180° - 68° = 112°

∠BAE

EA║CB and AB is transversal ⇒ CBA and BAE are supplementary angles:

m∠BAE = 180° - 112° = 68°

∠DCE

∠DCE = ∠DCB - ∠BCEm∠DCB = 180° - m∠DAB = 180° - 48° = 132°m∠BCE = 180° - m∠BAE = 180° - 68° = 112°∠DCE = 132° - 112° = 20°

Tommy rides in a motorboat against a river current for 25 km. Then he returns to his starting point by floating down river on a raft. Tommy travels 10 hours less on the motorboat than on the raft. Find the speed of the river current if the speed of the motorboat in still water is 12 km/h.

Answers

Answer:

2

Step-by-step explanation:

In terms of it, how much longer is the crust on a pizza with a radius of 10 in, than the crust of a pizza with a radius
of 5 in.?

Answers

Answer:

10

Step-by-step explanation:

10-5

Answer:

10

Step-by-step explanation:

Hal read 114 pages of his book during vacation. This was 60 percent of the book. How many pages does Hal have left to read

Answers

Answer:

76

Step-by-step explanation:

Let number of pages=x

60% of x=114

x=114×100/60=190

pages left=190-114=76

6/12 + 6/24 + 1/4 =
I don't rember how to do this

Answers

Answer:

1

Step-by-step explanation:

6/12=1/2

6/24=1/4

1/2+1/4+1/4=1/2+2/4=2/4+2/4=4/4=1

Answer:

answer is 1

you divide and add them.

PEMDAS

A map represents every 4 miles with 1 inch. If a school and a bank are actually 12 miles apart, how far apart are they on the map, in inches?

Answers

Answer:

3

Step-by-step explanation:

12÷4=3, so they are 3 inches apart

3 inches
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Write the ratios for sin A and cos B. 10 AC, 24 CB, 26 BA

Answers

Answer:

acdc

Step-by-step explanation:

what is the sum of the interior angle measures of a polygon that has 20 sides

Answers

Answer:

3240°

Step-by-step explanation:

Formula is ( 2n-4)90° where n is the no of sides

(2×20-4)90°

(40-4)90°

36×90

3240°

Write a word equation for 24 = 3x

Answers

twenty four equals three x

The probability of rolling a number cube and getting a 6 and 3.

Answers

We have to find out the probability of getting 6 and 3,

Since this only one roll it is not possible to get 2 numbers in one roll

So, I will presume you want the probability of getting 6 or 3,

Total number of outcomes= {1,2,3,4,5,6} = 6 outcomes

Number of favorable outcomes = {3,6} = 2 outcomes

Probability of rolling 6 or 3 = [tex]\frac{Number'of 'favorable' outcomes}{Total' number 'of' outcomes}[/tex]

= 2/6

= 1/3 or 0.33333%

Therefore the probability of rolling 6 or 3 is one in three chances

Happy to help :)

If u have any doubts or questions , feel free to ask

A car is 120 inches long. A truck is 75% longer than the car. How long is the truck?

Answers

Answer:

I think the truck would be 210 inches long

Clayton needs to reflect the triangle below across the line y = x.

On a coordinate plane, triangle A B C has points (5.5, 7), (6, 2), (4, 4).

Which statements about the reflection are true? Check all that apply.
Clayton could use the relationship (x, y) right-arrow (y, x) to find the points of the image.
Clayton could negate both the x and y values in the points to find the points of the image.
C’ will remain in the same location as C because it is on the line of reflection.
C’ will move because all points move in a reflection.
The image and the pre-image will be congruent triangles.
The image and pre-image will not have the same orientation because reflections flip figures.

Answers

Answer:

A. Clayton could use the relationship (x,y)\rightarrow (y,x)(x,y)→(y,x) to find the points of the image.

C. C’ will remain in the same location as C because it is on the line of reflection.

D. The image and the pre-image will be congruent triangles.

Step-by-step explanation:

A. Clayton could use the relationship (x,y)\rightarrow (y,x)(x,y)→(y,x) to find the points of the image.

This option is TRUE. When we reflect a shape in the line y=xy=x , we just have to swap the x and y coordinates.

B. .Clayton could negate both the x and y values in the points to find the points of the image.

False; This is a rotation of 180\degree180° about the origin.

C. C’ will remain in the same location as C because it is on the line of reflection.

This statement is True

C’ will move because all points move in a reflection.

This statement is false because,C(2,2) and C'(2,2) will have the same coordinate.

D. The image and the pre-image will be congruent triangles.

This is TRUE because reflection is a shape preserving transformation(rigid motion).

E. The image and pre-image will not have the same orientation because reflections flip figures.

This is False

Hope this helps :)

Answer:

a,c,e,f

Step-by-step explanation:

Are the equations m + 3 = -5 and m = -2 equivalent? Explain why or why not?

Answers

Answer:

Step-by-step explanation:

When m+3=-5, collection of like terms says; -5-3

Now,-5+-3 = -8 and -2≠-8 hence,they aren't equivalent

What is the slope of points (2,-15) and (-3,10).

Answers

Answer:

m = 5

Step-by-step explanation:

I believe you are asking, "What is the slope of the line passing through the points (2, -15) and (-3, 10)?"

As we go from (-3, 10) to (2, -15), x (the horizontal leg of a right triangle) increases by 5 (this is the 'run'), and y (the vertical leg) increases by 25 (the 'rise').  Thus, the slope of this line is

m = rise / run = 25/5, or just 5.  m = 5

1. A company buys a digital scanner for $12,000. The value of the scanner is 12,000 (1 – 3) after n years. The
company has budgeted to replace the scanner when the trade-in value is $2,400. After how many years should the
company plan to replace the machine in order to receive this trade-in value?

Answers

Sorry not sure. :(((((

What steps do you need to take to solve the equation 7x+6= 18?
*x
Choose the correct answer below.
A. Subtract 6. Then, multiply by 2.
B. Add 6. Then, multiply by 2.
C. Subtract 6. Then, divide by 2.
D. Add 6. Then, divide by 2.

Answers

subtract 6 and then divide by 2
A. Subtract 6. Then, multiple by 2. Is the correct answer.

Write an equation for the amount of money, , that will be collected if boxes of chocolate bars are sold. Which is the independent variable and which is the dependent variable

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Let amount of money = C

If the number of chocolate bars sold = x

Let cost per chocolate bar = p, since cost per bar isn't stated

Amount of money that will be collected :

C(x) = P * x

The dependent variable is the Amount of money that will be collected as the amount of money depends on the number of chockate bars sold

The number of chocolate bars sold us the independent variable as it dictates the amout of money to be collected, hence it is the predictor variable.

y= x^2 + 2


SOLVE I need help

Answers

I think the answer is (0,2)

If f(x) = , g(x) = 5x, and h(x) = x + 4, find each value. h[f(4)], g[h(–2)], f[g(1)]. pls write the steps. DON'T SEND A LINK OR FILE!

Answers

Answer:

Step-by-step explanation:

Andros has an oil fired heating system. In 30 days period he used a full tank of oil at a constant rate per day . At a different time of the year the amount of oil andros uses per day is 1/3 of the rate used in 30 days period . How many days should a full tank of oil last at this new rate

Answers

Answer:

90 days

Step-by-step explanation:

Let the rate per day for the 30 days period be x

Given that the rate drops to 1/3 of the rate used in 30 days period, it means that the new rate

= 1/3 x

If at a rate of x, the full tank runs for 30 days

at a rate of 1/3 x, the full tank would run for

= x/ (1/3 x) * 30 days

= 3 * 30 days

= 90 days

At the new rate, the full tank of oil will last for 90 days

B-19=-11. What is the B? Plz help

Answers

Answer:

8

Step-by-step explanation:

b - 19 = - 11

b = -11 + 19

b = 8

If there is 45 ml of milkshake left .She used 1 part strawberry cream to 4 parts milk .How many ml of milk is left?

Answers

Given:

Remaining milkshake = 45 ml

She used 1 part strawberry cream to 4 parts milk.

To find:

The remaining amount of milk.

Solution:

It is given that, she used 1 part strawberry cream to 4 parts milk. It means the ratio of strawberry cream and milkshake is 1:4.

Let the remaining amount strawberry cream be x and the remaining amount of milk is 4x. Then,

[tex]x+4x=45[/tex]

[tex]5x=45[/tex]

[tex]x=\dfrac{45}{5}[/tex]

[tex]x=9[/tex]

Now, the remaining amount of milk is:

[tex]4x=4(9)[/tex]

[tex]4x=36[/tex]

Therefore, the remaining amount of milk is 36 ml.

I WILL GIVE BRAINLIEST 5 STARS AND A HEART PLEASE HELPPPP

Answers

Answer:

140  square feet

Step-by-step explanation:

The total area can be calculated by splitting this irregular shape into two quadrilaterals.

In this case, I am splitting it horizontally, but you can do it vertically and get the same answer!

I'm left with a 10 by 8 ft rectangle and an 15 by 4 ft rectangle. So, the total area is equivalent to:

[tex]10*8 + 4*15\\80 + 60\\=140[/tex]

Have a nice day. Spread The Love!

Math help please. Which rule explains why these triangles are congruent? ( A). ASA (B.) AAS (C.) SAS ( D.) These triangles can not be proven to be congruent

Answers

Answer:

Step-by-step explanation:

Remark

You have 3 angles which are congruent. You can prove similarity. You cannot prove congruency. You must have 1 side to show conguency.

Evaluate 4b-a when a=12 and b=7

Answers

Answer:

4b - a = 15

Step-by-step explanation:

if you replace the variables with their equivalent counterparts you get the equation 4(7) - 12 = __ when you do the math make sure to do the parentheses first then subtract, just like in elementary school remember pemdas parentheses, exponents, multiplication, division, addition, subtraction. I hope this helps.

good luck:)

Brainliestttt Plssssssss:)

Answer:

4b - a = 15

Step-by-step explanation:

Which of the following sets of numbers could represent the
lengths of the sides of a triangle?
A 2, 2,5
B 3,3,5
C 4,4,8
D 5,5, 15

Answers

Answer:

b i think tell me if i am wrong.

Step-by-step explanation:

The ounces of yellow paint, y, needed to mix with x ounces of blue paint to make a certain shade of green paint can be represented by the equation y = 1.5x. What is the constant of proportionality of the equation? Calculator​

Answers

Answer:

Step-by-step explanation:

A proportional constant satisfies

y/x=k, where k is the constant of proportion

Since

y/x=k

y=kx

You are given

y=1.5x so

k=1.5

What is the common ratio for this geometric sequence!
27, 9, 3, 1, ...

Answers

Answer:

1/3

Step-by-step explanation:

The ratio is 1/3 because it's just like dividing 27/3 = 9  and so on.

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