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stich3 [128]
2 years ago
10

a toy ball expands and contracts. When it is completely closed, it has a diameter of 15.5. Find the volume of the ball when it i

s completely closed. Round to the nearest cubic inch.
Mathematics
1 answer:
horrorfan [7]2 years ago
3 0
Volume of a sphere is 4/3pi∗r3. r is half the diameter.
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You are comparing two refrigerator models. Their annual electricity consumption is shown below. Assume that the cost of electric
Otrada [13]

Answer:

Savings = $13

Step-by-step explanation:

$0.12 = 1 kilowatt-hour

So,

For Top-Freezer Refridgerator:

$0.12 × 529 = 1 × 529 kilowatt-hour

$63.48 = 529 kilowatt-hour

For Side-by-Side Refridgerator:

$0.12 × 634 = 1 × 634 kilowatt-hour

$76.08 = 634 kilowatt-hour

Savings = Side-by-Side Refridgerator - Top-

Freezer Refridgerator

Savings = $( 76.08 -63.48 )

Savings = $12.6

Savings = $13

5 0
3 years ago
Read 2 more answers
What is the scale factor from polygon ABCD to polygon PQRS??
deff fn [24]

Scale factor is defined as a number which multiplies or scales some quantity.

The shape of the figure remains same, the image  becomes larger or smaller.

If the scale factor is greater than one, then the image is enlarged.

If the scale factor is less than 1 but greater that 0, then the image becomes smaller.

In the above image,  AD = 2 units.

It's corresponding side PS =  3 units

Similarly AB = 1 unit and PQ = 1.5 units

Hence , 1 * 1.5 = 1.5

2*1.5 = 3

Hence, the scale factor of the given image is 1.5 ... Answer

7 0
3 years ago
Find the missing side of each triangle. i need help!!!
Nezavi [6.7K]

Answer:

√161 yd

Step-by-step explanation:

Hi there!

We're given a right triangle (notice the right angle), the measure of one of the legs (one of the sides that make up the right angle) as 8 yd, and the hypotenuse (the side opposite to the right angle) as 15 yd.

We need to find x, which is the other leg in the triangle

If we are given 2 sides and need to find a third, we can use Pythagorean Theorem, which states that a²+b²=c² if a and b are legs and c is the hypotenuse

In this case, a=8, b=x, and c=15

So let's substitute those values into the formula

(8)²+x²=(15)²

raise everything to the second power

64+x²=225

subtract 64 from both sides

x²=161

take the square root of both x and 161

x=√161, x=-√161

-√161 cannot work in this case, as distance cannot be negative.

The question asks for the answer to be in simplified radical form, but √161 cannot be simplified down further

so the answer is <u>√161 yd</u>

Hope this helps! :)

3 0
2 years ago
A fence is being built around a rectangular garden that is 8 1 /2 feet by 6 1/ 3 feet. Fencing comes in panels. Each panel is 2
astra-53 [7]

Answer:

Step-by-step explanation:

Total perimeter of garden = 2(8.5+6.33) = 29.66 Sq. ft.

No. of panels required = (29.66)/(2/3) = 45 panels approximately

3 0
3 years ago
If y varies directly as x and y = 12 when x = 8, find y when x = 14.
Alex17521 [72]
The direct variation between x and y may be written as,
                                    y = kx
where k is the constant of variation. From the first set of values of the variables,
                                 12 = k(8)
the value of k is 1.5. Substituting the next set to the same equation,
                                 y = 1.5(14) 
The value of y is 21. 
8 0
3 years ago
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