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Vikki [24]
3 years ago
15

What is the volume of a sphere that has a diameter of 18 in.? Use 3.14 to approximate pi and express your answer in hundredths.

Mathematics
1 answer:
leonid [27]3 years ago
4 0

<span> A) Diameter = 18"
Circumference = pi x Diameter = pi x 18 = 56.52"
Area = pi x radius^2 = pi x 81 = 254.34 sq. inches

B) Radius = 5 cm
Circumference = pi x Diameter = 10pi cm
Area = pi x radius^2 = 25pi square cm

C) Area = 64pi square cm
Radius = 8 cm
Diameter = 16 cm
Circumference = pi x Diameter = 16pi cm

OR (in case you wanted it exactly as you wrote it)

Area = 64 square cm
Radius = 4.51 cm
Diameter = 9.03 cm
Circumference = pi x Diameter = 28.35 cm

D) Diagonal = Diameter = sq root of (a^2 + b^2) = sq root (81+144) = 15 cm
Circumference = pi x Diameter = 47.10 cm
Area = pi x radius^2 = 23.55 square cm </span>

<span>
</span>

<span>Hope I helped</span>

<span>Don't Forget to say thanks</span>

<span>
</span>


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(-9, -5)

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Ok, so when you move an image to the right, you are moving along the x-axis, and when you move up, you are moving up the y-axis. So if the altered image is (x,y) and the values are (-5, -1), you reverse what has been done to the image. In this case, since we moved to the right 4 units, we know that means we added 4 to x, so we subtract 4 to get -9. And then, for the y-value, because we added 4, we do the opposite, and subtract 4 to get -5. So the pre-image should be (-9, -5)

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4 years ago
Nina purchased apples and strawberries. She purchased a total of 9 pounds of fruit and spent a total of $16.35. Strawberries cos
irina [24]

Answer:

4 pounds of strawberries and 5 pounds of apples are bought.

Step-by-step explanation:

Given:

Total number of pounds of fruit = 9 pounds

Total money spent = $16.35

Cost of 1 pound of strawberry = $1.60

Cost of 1 pound of apple = $1.99

Let 'x' pounds of strawberries and 'y' pounds of apples are bought.

So, <u><em>as per question:</em></u>

<em>The sum of the pounds is 9. So,</em>

x+y=9\\\\y=9-x----1

Now, total sum of the fruits is equal to the sum of 'x' pounds of strawberries and 'y' pounds of apples. So,

1.60x+1.99y=16.35----2

Now, plug in the 'y' value from equation (1) in to equation (2). This gives,

1.60x+1.99(9-x)=16.35\\\\1.60x+17.91-1.99x=16.35\\\\Combining\ like\ terms, we get:\\\\1.60x-1.99x=16.35-17.91\\\\-0.39x=-1.56\\\\x=\frac{-1.56}{-0.39}=4\ pounds

Now, from equation 1, we have:

y=9-4=5\ pounds

Therefore, 4 pounds of strawberries and 5 pounds of apples are bought.

4 0
3 years ago
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