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2 years ago

Use a proportion to find the length of side x for the pair of similar figures

Mathematics

1 answer:

kogti [31]2 years ago

6 0

Answer:

30.8

Step-by-step explanation:

1. Write the ratio for the smaller triangle as 14/10 and the ratio for the larger triangle as x/22.

2. Set the ratios equal to each other.

14/10 = x/22

3. Cross multiply and solve for x.

14 x 22 = 308

10 x x = 10x

4. Divide by 10

x = 30.8

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An electrician needs to run a cable from the top of a 40-foot tower to a transmitter box located 30 feet away from the base of

grin007 [14]

The cable should be 50 feet.

If you draw the picture, you will see that you have a right triangle.

Let's just use the Pythagorean Theorem to find the hypotenuse (or cable).

30^2 + 40^2 = c^2
2500 = c^2
50 = c

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3 years ago

Joanne has a cylindrical, above ground pool. the depth (height) of the pool is 1/2 of its radius, and the volume is 1570 cubic f

diamong [38]

Answer:

314 ft²

Step-by-step explanation:

Data provided in the question:

Depth (height) of the pool = $\frac{1}{2}$ of its radius

let the radius be 'r' ft

thus,

Depth (height) of the pool, h = $\frac{r}{2}$ ft

Volume of the pool = 1570 ft³

also,

Volume of cylinder = πr²h

thus,

1570 ft³ = πr²h

1570 ft³ = $\pi r^2(\frac{r}{2})$

3140 = 3.14 × r³ [ π = 3.14 ]

r³ = 1000 ft³

r = 10 ft

Thus,

Area of the bottom surface = πr²

= 3.14 × 10²

= 314 ft²

5 0

2 years ago

Write (-3)^4 in standard form

Olenka [21]

Answer: 81

Step-by-step explanation: Because, (-3)^4=-3*-3*-3*-3=-(-81)=81

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2 years ago

100 points and brainliest for correct answer!

dusya [7]

City C (42 and 66 are the two modes they are the most frequent numbers both appearing 3 times)

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1 year ago

Round 905154 to the nearest ten thousand

beks73 [17]

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3 years ago