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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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The graph of a quadratic polynomial intersects x-axis at the points (-4, 0) and (5, 0). Find
Setler79 [48]

Answer:

Quadratic polynomial is x^2 - x - 20

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2 years ago
Drag each situation to show whether it can be modeled using a linear or an exponential function. If the situation cannot be mode
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Answer:

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Step-by-step explanation:

5 0
3 years ago
Need help can someone help me pleaseeee
Hunter-Best [27]

at first we write each one as a sequence

and find its equation

the first table

-19, -11, -3, 5

8x-19

the third table

15,12,9,6

-3x+15

the second table

-1. 5,1.5,3,4.5

+3 +1.5 +1.5

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8 0
3 years ago
11) Help pls I have the answer I just need to show the work.
spayn [35]
True.
The Pythagorean theorem is a^2 + b^2 = c^2 where a^2 and b^2 are the two legs of the triangle (two sides connected by the right angle) and c is the hypotenuse (longest side, opposite the right angle).

To solve using the Pythagorean theorem, plug in sides AC and CB into a and b, then solve for c.

23^2 + 31^2 = c^2
529 + 961 = c^2
c^2 = 1490
c = √1490 = 38.601

I hope this helps!
4 0
3 years ago
A submarine started at 750 meters below sea level. It rose 50 meters per hour over a 4-hour period. Which expression represents
Cerrena [4.2K]

Answer:

y(t) = 750 -50t

Step-by-step explanation:

We want to model the position of the submarine as a function of time.

Notice that we have a constant amount. The initial depth: 750 meters

 Then we have a factor that varies over time. Every hour the submarine ascends 50 meters. therefore as t increases the depth y(t) of the submarine decreases. Then the factor is:

-50t.

Where t represents the time in hours.

Then the equation that represents the new position of the submarine in relation to the level of the sea:

y(t) = 750 -50t

4 0
3 years ago
Read 2 more answers
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