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lianna [129]
3 years ago
13

These cones are similar. Find the surface

Mathematics
1 answer:
eduard3 years ago
4 0

Answer:

33.3 cm²

Step-by-step explanation:

Recall: Area Scale Factor = (Linear Scale Factor)²

Area scale factor = surface area of bigger cone/surface area of smaller cone

Let the surface area of the smaller cone be represented as x

Therefore,

Area scale factor = 75/x

Linear scale factor = radius of bigger cone/radius of smaller cone = 3/2

Thus:

75/x = (3/2)²

75/x = 9/4

Cross multiply

x*9 = 75*4

9x = 300

Divide both sides by 9

x = 300/9

x = 33.3 cm² (nearest tenth)

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Suppose a charity event serves a prix fixe dinner that consists of one from each category: (1) soup or salad (not both), (2) app
VladimirAG [237]

Answer:

3840

Step-by-step explanation:

Using the fundamental counting principle

The restaurant is offering five kinds of soup, three kinds of salad, four kinds of appetizers, six entrees, five desserts, and four beverages.

There are 5 independent events happening (5 prixe dinners)

(1) soup or salad (not both)

We have five kinds of soup, three kinds of salad

soup or salad (not both), = 5 + 3

= 8

(2) appetizer = 4

(3) entrees = 6

(4) dessert = 5

(5) Beverage = 4

Hence,

8 × 4 × 6 × 5 × 4

= 3840

The number of different prix fixe dinners are possible is 3840

5 0
3 years ago
The revenue (X) from the sales of a compay has an expected value of $6,263, with a standard deviation of $440 while the cost (Y)
shutvik [7]

Answer:

the covariance between the revenue and cost is 1,513. What is the variance of the profit (X-Y) of the company is 303468

Step-by-step explanation:

Given that;

E(x) = 6263

SD(x) = 440

F(y) = 4872

SD(y) = 336

COVI (x, y) = 1513

Variance x = [ SD(x) ]²

Variance x = [440]² = 193600

Variance y = [ SD(y) ]²

Variance y = [336]² = 112896

Now to get variance of the profit (X-Y) of the company we say;

variance ( x-y ) = variance x + variance y - 2covi(x.y)

we substitute

variance ( x-y ) = 193600 + 112896 - ( 2 × 1513 )

variance ( x-y ) = 306496 - 3026

variance ( x-y ) = 303468

therefore the covariance between the revenue and cost is 1,513. What is the variance of the profit (X-Y) of the company is 303468

7 0
3 years ago
Karls car payments are $215.37 per month for the next three years. What will be the total amount he will pay for his car?
NikAS [45]

Answer:

$7,753.32

Step-by-step explanation:

12 months in one year

12 x 3 = 36 months in 3 years

215.37 x 36 months

215.37 x 36 = 7,753.32

Please lmk if you have questions.

3 0
3 years ago
In triangle WXY, the measure of angle W is 3 degrees less then the measure of angle X and the measure of angle Y is 6 degrees le
Anna [14]

Answer:

X = 63°

W = 60°

Y = 57°

Step-by-step explanation:

W = X - 3

Y = X - 6

X + W + Y = 180    substitute

X + (X - 3) + ( X - 6) = 3 X - 9 = 180

3X = 189

X = 63

W = 60

Y = 57

7 0
4 years ago
The diagram represents a difference of squares.
harkovskaia [24]
The factors are
(m-6)(m+6)

Explanation:
Group the first two terms and factor out the common factor:
i.e m(m-6)
Repeat the procedure for terms 3 and 4.
6(m-6)

Regrouping:
m(m-6)+6(m-6)

On factoring out (m-6), we get:
(m-6)(m+6)
8 0
3 years ago
Read 2 more answers
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