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Elan Coil [88]
4 years ago
5

There is a light post that is 9 feet tall that casts a shadow that is 6 feet long. At the same time, there is a tree that casts

a shadow that is 14 feet long.
#4: What is the height of the tree? (in feet)

Mathematics
1 answer:
tia_tia [17]4 years ago
6 0

Answer:

The answer to your question is: the three is 21 ft tall

Step-by-step explanation:

Use the Thales's theorem to solve this exercise

Data

light post height = 9 ft

shadow of the light post = 6 ft

tree shadow = 14 ft

height of the three = x

        Proportions                

                                    x /  9 = 14 / 6

Solve for x                  x = 14(9) / 6

                                   x = 21 ft                                    

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A pair of boots that originally sold for $75.32 are on sale for 22% off.
Vesnalui [34]

Answer:

The boots will be $58.75

Step-by-step explanation:

first you cross multiply

\frac{x}{75.32} x \frac{22}{100}

you then get 1,657.04= 100x, so divide by 100 on both sides to get

16.5704 = X  

Subtract X (the 22% discount amount) from the original price to get the new price of $58.75!

3 0
2 years ago
What is the angle measured on the protractor? Please help I’m confused. Thanks!!
sleet_krkn [62]

Answer:

85

Step-by-step explanation:

The line of the right measures 65 degrees (I think), an the line on the left measures 150 degrees. So, 150 - 65 = 85 degrees.

7 0
3 years ago
To discourage guessing on the multiple-choice exam a professor assigned 4 points for a correct answer, -4 points for an incorrec
Zanzabum

Answer:

35

Step-by-step explanation:

4 x 15 = 60

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60 - 20 - 5 = 35

8 0
3 years ago
Read 2 more answers
Write an equation of the translated function of the parent function f(x)=|x| with the following transformations:
MrRa [10]

Answer:

Option b

Step-by-step explanation:

To write the searched equation we must modify the function f (x) = | x | in the following way:

1. Do y = f(x + 4)

This operation horizontally shifts the function f(x) = | x | by a factor of 4 units to the left on the x axis.

y = | x +4 |

2. Do y = f (\frac{1}{4}x)

This operation horizontally expands the function f (x) = | x | in a factor of 4 units. y = |\frac{1}{4}x + 1|

3. Do y = f(x)-4

This operation vertically shifts the function f (x) = | x | by a factor of 4 units down on the y-axis.

y = |\frac{1}{4}x +1| -4

4. After these transformations the function f(x) = | x | it looks like:

f(x) = |\frac{1}{4}x +1| -4

Therefore the correct option is option b. You can verify that your vertex is at point (-4, -4) by making f (-4)

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8 0
4 years ago
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Brut [27]

Hi,

Answer:

k = \frac{23}{2}

Step-by-step explanation:

Subtract 4k from both sides

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2k - 8 = 15

Add 8 on both sides (you want to get rid of the 8 in order to leave the k alone)

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Have a good day!

4 0
3 years ago
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