All categories

3 years ago

Two similar cones have matching heights and radii whose lengths are in the ratio 7:1 Find the ratio of their surface areas.

Mathematics

1 answer:

goldenfox [79]3 years ago

5 0

Answer:

surface area ratio = 49/1 = 49

Step-by-step explanation:

Two solid figure are similar when they have the same shape and the ratio of their corresponding sides are proportional.

Therefore the ratio of their surface area is the side ratio squared.

For a similar shape the ratio of their surface area is the squared of the scaled factor.

The ratio can be represented as a/b, therefore the surface area ratio can then be represented as (a/b)². Therefore,

7:1 or 7/1

The surface area ratio = (7/1)²

surface area ratio = 49/1 = 49

You might be interested in

Solving a right triangle (round to the nearest tenth)

Inga [223]

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180 for A

A = 180° - (90 + 46)° = 180° - 136° = 44°

----------------------------------------------------------------

tan46° = $\frac{opposite}{adjacent}$ = $\frac{b}{23}$

Multiply both sides by 23

23 × tan46° = b, thus

b ≈ 23.8 ( to the nearest tenth )

-----------------------------------------------------------------

cos46° = $\frac{adjacent}{hypotenuse}$ = $\frac{23}{c}$

Multiply both sides by c

c × cos46° = 23 ( divide both sides by cos46° )

c = $\frac{23}{cos46}$ ≈ 33.1 ( to the nearest tenth )

5 0

2 years ago

Find the area of the following triangle. Show each of the math steps that you use to find the area. Then explain how to go about

Diano4ka-milaya [45]

Semi perimeter:-

$\\ \rm\rightarrowtail s=\dfrac{a+b+c}{2}$

$\\ \rm\rightarrowtail s=\dfrac{1.8+2.4+3}{2}$

$\\ \rm\rightarrowtail s=\dfrac{7.2}{2}=3.6cm$

Apply heron s formula

Area:-

$\\ \rm\rightarrowtail \sqrt{s(s-a)(s-b)(s-c)}$

$\\ \rm\rightarrowtail \sqrt{3.6(3.6-1.8)(3.6-3)(3.6-2.4)}$

$\\ \rm\rightarrowtail \sqrt{3.6(1.8)(0.6)(1.2)}$

$\\ \rm\rightarrowtail \sqrt{4.6656}$

$\\ \rm\rightarrowtail 2.16cm^2$

5 0

1 year ago

Read 2 more answers

What Information is required

LenaWriter [7]

Answer:

BC=XY

Step-by-step explanation:

you know 2 angles. you need a side for ASA. BC and XY is the only one that would be included.

8 0

2 years ago

Read 2 more answers

Choose all of the transformations that are rigid motions.

kkurt [141]

Answer:

The answer is below

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and rotation.

Rigid transformations are transformation that produces an image with the same size, shape and angle as the original object. Rigid transformations are translation, rotation and reflection.

Dilation is not a rigid transformation.

All the transformations attached are rigid transformations.

7 0

2 years ago

Find the amount of the annuity due. Round to the nearest cent.

Ber [7]

FVAD=515[((1+0.18/12)^(12*2)-1)/(0.18/12)]*(1+0.18/12)
FVAD=14967.46

5 0

2 years ago