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trapecia [35]
3 years ago
14

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

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Expression that represent -4 and 6
tensa zangetsu [6.8K]

Answer:

The answer is 3

8 0
2 years ago
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Verify that f and g are inverses functions using composition , show your steps
pshichka [43]

Answer:

See explanations below

Step-by-step explanation:

Given the functions

f(x) = 12x - 12

g(x) = x/12 - 1

To show they are inverses, we, must show that f(g(x)) = g(f(x))

f(g(x)) = f(x/12 - 1)

Replace x with x/12 - 1 into f(x)

f(g(x)) =12((x-12)/12) - 11

f(g(x)) =  x-1 - 1

f(g(x)) =x - 2

Similarly for g(f(x))

g(f(x)) = g(12x-12)

g(f(x)) =(12x-12)/12 - 1

12(x-1)/12 - 1

x-1 - 1

x - 2

Since f(g(x)) = g(f(x)) = x -2, hence they are inverses of each other

5 0
2 years ago
A company manufacturers video games with a current defect rate of 0.95%. To make sure as few defective video games are delivered
RSB [31]
There would be about 19 defective products delivered.

First, let's start with the number of defective games. 
100000 x 0.0095 = 950

Now, the test will catch 98% of those defects. That means 2% of the defects will get through to the consumers.
0.02 x 950 = 19
3 0
3 years ago
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Find the measure of Angle A. (include and explanation so I could do the rest on my own, preferably :)
castortr0y [4]

Answer:

13) Angle A is 30°

14) Angle A is 45°

15) Angle A is 40°

16) Angle A is 40.5°

Step-by-step explanation:

By the angle sum theorem for the interior angles of a triangle, we have;

13) 130° + 2·x + 3·x = 180°

∴ 2·x + 3·x = 180° - 130° = 50°

2·x + 3·x = 5·x = 50°

x = 50°/5 = 10°

∠A = 3·x = 3 × 10° = 30°

∠A = 30°

14) 3·x + 9 + 4·x + 9 + 78° = 180°

7·x + 18 + 78° = 180°

7·x = 180° - (18 + 78)° = 180° - 96° = 84°

x = 84°/7 = 12°

∠A = 3·x + 9 = 3 × 12° + 9 = 45°

∠A = 45°

15) 90° + x + 51 + x + 61 = 180°

∴ x + 51 + x + 61 = 180° - 90° = 90°

2·x + 112 = 90°

2·x = (90 - 112)° = -22°

x = -22°/2 = -11°

x = -11°

∠A = x + 51 = -11° + 51 = 40°

∠A = 40°

16) x + 79 + x + 49 + 70° = 180°

x + x  = (180 - 70 - 79 - 48)° = -17°

2·x = -17°

x = -17°/2 = -8.5°

x = -8.5°

∠A = x + 49 = (-8.5 + 49)° = 40.5°

∠A = 40.5°.

3 0
3 years ago
Substitute r=3 and h=5 into the formula V=piR^2h then evaluate
nikitadnepr [17]

To evaluate when plugging in numerical values for variables, simply put the numerical values in the place of the corresponding variables:

V = \pi \cdot 3^2 \cdot 5

\boxed{V = 45\pi \approx 141.37}

4 0
3 years ago
Read 2 more answers
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