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marusya05 [52]
3 years ago
15

If the side lengths of a cube are dilated from 10 yards to 31 yards, find the scale factor that relates the area of one face of

the original cube to a face of the scaled cube. Write answer as number only, Round your answer to two decimal places if needed.
Mathematics
1 answer:
dmitriy555 [2]3 years ago
8 0

Answer:

  9.61

Step-by-step explanation:

The area of a face of the original cube is the square of its side length:

  (10 yd)² = 100 yd²

The area of a face of the dilated cube is the square of its side length:

  (31 yd)² = 961 yd²

Then the scale factor relating the area of the dilated cube to that of the original is ...

  scale factor = (961 yd²)/(100 yd²)

  scale factor = 9.61

__

Perhaps you can see that this scale factor is (31/10)², the square of the dilation factor.

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What number goes in the box in the followng sequence 5 11 23 ? 95 191​
Alina [70]

Answer:

47

Step-by-step explanation:

The number that should go after 23 is 47.

The pattern seems to be (n * 2) + 1, where n is the value of the previous number.

We start with the number 5:

5

(5 * 2) + 1  = 11

11

(11 * 2) + 1 = 23

23

(23 * 2) + 1 = 47

47

... and so on

The pattern should continue as follows.

Hope this helps!

3 0
3 years ago
Evaluate the expression for x= 9 <br> 5x + 3
Vesna [10]
48


(5)(9) + 3
45 + 3


Hope this helps!!!!
6 0
3 years ago
Read 2 more answers
Each time Caroline goes shopping she decides whether or not to buy fruit.
DiKsa [7]

Let event A = Caroline buys fruit, event B = Caroline buys CD, Ac and Bc are complementary events.

Events AB, ABc, AcB and AcBc are jointly exhaustive and disjoint, hence P(AB) + P(ABc) + P(AcB) +P(AcBc) =1.

Events A and B independent, hence Ac and Bc independent too and probability P(AcBc) = P(Ac)*P(Bc) = (1 - P(A))(1-P(B)) = 0.6*0.4 = 0.24.

Required probability P(AB + ABc + AcB ) = P(AB) + P(ABc) + P(AcB) = 1- P(AcBc) = 1 - 0.24 = 0.76.

Answer: Probability that Caroline buys fruit, a CD or both is 0.76.

5 0
2 years ago
HELP HELP HELP HELP<br> HELP HELP HELP HELP
Lelechka [254]

Answer:

Vertex - (2, -1)

Axis of Symmetry - x = 2

X intercept - (3,0) (1, 0)

Y intercept (0, 3)

Domain - (negative infinity, positive infinity)

Range - [-1, infinity)

Step-by-step explanation:

I graphed with desmos and found it.

5 0
1 year ago
Find the exact value of the following limit: lim x approaches 0 e^6x... check photo above.​
horrorfan [7]

Substituting <em>x</em> = 0 directly gives the indeterminate form 0/0, so you can use l'Hopital's rule (and you'll have to do that twice):

\displaystyle\lim_{x\to0}\frac{e^{6x}-6x-1}{x^2}=\lim_{x\to0}\frac{6e^{6x}-6}{2x}=\lim_{x\to0}\frac{36e^{6x}}2

The limand is continuous everywhere, so you can plug in <em>x</em> = 0 to get 36•1/2 = 18.

8 0
3 years ago
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