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Dafna1 [17]
2 years ago
13

The similar rectangles have corresponding sides in the ratio 10:3 find the ratio of their area.​

Mathematics
1 answer:
atroni [7]2 years ago
4 0

Answer:

100:9

Step-by-step explanation:

If corresponding side lengths are in the ratio 10 : 3, the ratio of their areas will simply be the square (area is 2-dimensional).

Therefore:

10 : 3 ⇒ (10)² : (9)²

100 : 9 is the ratio of the areas.

hope this helps :)

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A cable on a crane measures 89 yards 2 feet. How much total cable would be on 14 identical cranes? Convert the answer to larger
babymother [125]

we know that  

1 yard=3 feet

Multiply (89 yards 2 feet) by 14

(89 yards 2 feet)*14=89*14 yards 2*14 feet-------> 1,246 yards 28 feet

convert 28 feet to yards

28 ft=(28/3) yards=9.33 yards

9.33 yards=9 yards+0.33 yards

0.33 yards=1 foot

so

9.33 yards=9 yards+1 foot

substitute

1,246 yards 28 feet=1,246 yards +9 yards+1 foot----->1,255  yards + 1 foot

therefore

<u>the answer is the option</u>

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3 years ago
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marshall27 [118]

The volume of the composite figure is the third option 385.17 cubic centimeters.

Step-by-step explanation:

Step 1:

The composite figure consists of a cone and a half-sphere on top.

We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.

Step 2:

The volume of a cone is determined by multiplying \frac{1}{3} with π, the square of the radius (r²) and height (h). Here we substitute π as 3.1415.

The radius is 4 cm and the height is 15 cm.

The volume of the cone :

V = \frac{1}{3} \pi r^{2} h = \frac{1}{3} (3.1415)(4^{2} )(15) = 251.32 cubic cm.

Step 3:

The area of a half-sphere is half of a full sphere.

The volume of a sphere is given by multiplying \frac{4}{3} with π and the cube of the radius (r³).

Here the radius is 4 cm. We take π as 3.1415.

The volume of a full sphere \frac{4}{3} \pi r^{3} = \frac{4}{3} (3.1415) (4^{3}) = 268.07 cubic cm.

The volume of the half-sphere =\frac{1}{2} (268.07) = 134.037 cubic cm.

Step 4:

The total volume = The volume of the cone + The volume of the half sphere,

The total volume 251.32+134.037 = 385.357 cub cm. This is closest to the third option 385.17 cubic centimeters.

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3 years ago
What information can be used to compare linear relationships?
anygoal [31]
<span>Line graphs are used to display data or information that changes continuously over time. hope that helped</span>
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3 years ago
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Owen has a 15 ft ladder, the instructions say that the base of the ladder should be 6 ft from the wall. How high up the wall wil
pogonyaev

Answer:

height = 13.75 feet

Step-by-step explanation:

use the Pythagorean theorem

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Answer:

it is c

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c

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