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3 years ago

On a sunny day, a 4-foot red kangaroo casts a shadow that is 5 feet long. The shadow of a nearby

Mathematics

1 answer:

son4ous [18]3 years ago

8 0

Answer:

16 feet

Step-by-step explanation:

Set up a proportion where x is the height of the tree:

$\frac{4}{5}$ = $\frac{x}{20}$

Cross multiply and solve for x:

5x = 80

x = 16

So, the tree is 16 feet tall

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Task: Multiplying and Dividing Expressions

koban [17]

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3 years ago

Jarred wants to buy a go-cart for $1,200. His part-time job pays him $160 a week. He has already saved $400. Which inequality re

STatiana [176]

Answer:

He will need to work a minimum of 5 weeks

Step-by-step explanation:

1,200-400=800

800 divded by 160=5

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3 years ago

Missy’s rotation maps point k (17,-12)to k (12,17) which describes the rotation?

Dennis_Churaev [7]

Answer:

This would be a 90 degree rotation in a counter clockwise fashion.

Step-by-step explanation:

You can tell this because in a 90 degree shift, the values switch terms. Also, one of the terms will change the sign.

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3 years ago

Read 2 more answers

The diameter of a large lawn ornament in the shape of a sphere is 16 inches. What is the approximate volume of the ornament? Use

lora16 [44]

Answer:

Sphere Volume = 4/3 * PI * radius^3

Sphere Volume = 4/3 * PI * 8^3

Sphere Volume = 4/3 * PI * 512

Sphere Volume = 2,144.7 cubic inches

Step-by-step explanation:

4 0

3 years ago

If triangle VWZ is congruent to triangle XWY, find the length of YX.

valkas [14]

Answer:

Measure of side YX is 22 units.

Step-by-step explanation:

Since ΔVWZ ~ ΔXWY, their corresponding sides will be in the same ratio.

$\frac{VW}{XW}=\frac{VZ}{XY}=\frac{WZ}{WY}$

By substituting the values given in the picture in the ratio,

$\frac{45}{30}=\frac{(3x-9)}{(x+8)}=\frac{36}{24}$

$\frac{(3x-9)}{(x+8)}=\frac{3}{2}$

By cross multiplication,

2(3x - 9) = 3(x + 8)

6x - 18 = 3x + 24

(6x -18) + 18 = 3x + 24 + 18

6x - 3x = (3x + 42) - 3x

6x - 3x = 42

3x = 42

x = $\frac{42}{3}$

x = 14

m(YX) = x + 8

= 14 + 8

= 22

Therefore, measure of side YX is 22 units.

8 0

3 years ago