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Alex17521 [72]
3 years ago
11

The figure is made up of a cylinder and a spear which has been cut in half. The radius of each half sphere is 5 mm. What is the

volume of the composite figure? Use 3.14. Round to the nearest hundredth

Mathematics
2 answers:
lesya [120]3 years ago
5 0

Answer:

The volume of the cylinder should be:

V = Bh = πr²h = 3.14 · 5² · 10 = 785 (mm³)

The volume of the sphere should be:

V = 4/3 · πr³ = 4/3 · 3.14 · 5² ≈ 523.33 (mm³)

=> The total volume of the composite figure is:

V = 785 + 523.33 = 1,308.33 (mm³)

Nostrana [21]3 years ago
4 0

Answer:

V = 785 + 523.33 = 1,308.33 (mm³)

Step-by-step explanation:

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Gabriel brings 25 cupcakes to share with his classmates at school. At the end of the day, he has 3 cupcakes remaining. What perc
marta [7]

Answer:

Answer D 88%

Step-by-step explanation:

To figure this question out we first need to find 1% of 25, which is .25 and then we need to find what percentage 3 is of 25, and so 12 x .25 = 3 which means 3 is 12% of 25, now just subtract it from 100% and we get 88%

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8 0
2 years ago
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I feel so stupid, how do you change a fraction into a mix number???
Vlad [161]

Answer:

Divide the numerator by the denominator. Your answer would be the whole number, and the remainder would be your fraction.

I have also clipped a picture from fractionfun.com to make it more clear.

7 0
3 years ago
Two sides of a right triangle Measure 11 in and 15 in.
HACTEHA [7]

The sides could be 10.2 inches or 15.7 inches.

See the attached picture for the equations:

7 0
3 years ago
See attached image. For part b, my answer is <img src="https://tex.z-dn.net/?f=h%28t%29%3D%5Cfrac%7Bt%5E2%7D%7B100%7D-%5Cfrac%7B
ArbitrLikvidat [17]

Answer:

a) shown

b) h = [sqrt(17) - (5/2)t]²

c) t = 2sqrt(17)/5 seconds

Step-by-step explanation:

V = pi × r² × h

V = pi × 5² × h

V = 25pi × h

a) dV/dt = dV/dh × dh/dt

-5pi × sqrt(h) = 25pi × dh/dt

dh/dt = -sqrt(h)/5

b) 1/sqrt(h) .dh = -5. dt

2sqrt(h) = -5t + c

t = 0, h = 17

2sqrt(17) = 0 + c

c = 2sqrt(17)

2sqrt(h) = -5t + 2sqrt(17)

sqrt(h) = [2sqrt(17) - 5t] ÷ 2

sqrt(h) = sqrt(17) - (5/2)t

Square both sides

h = [sqrt(17) - (5/2)t]²

c) empty: h = 0

0 = [sqrt(17) - (5/2)t]²

sqrt(17) - (5/2)t = 0

(5/2)t = sqrt(17)

t = 2sqrt(17)/5

t = 1.64924225 seconds

sqrt: square root

5 0
3 years ago
Which of the following inequalities matches the graph? (1 point)
Aleksandr [31]

Answer: 2x + y < 7

Step-by-step explanation:

In the graph we can see that:

The line is a dashed line, and the shaded area is below the dashed line, then we will have something like:

y < a*x + b

We also can see that the slope of the line is negative, and that the y-intercept is +7

Then the inequality will be something like:

y < a*x + 7

Now we can see that the line passes through the points (0, 7) and (3, 1)

Then the slope will be:

a = (1 - 7)/(3 - 0) = -6/3 = -2

that is negative, as we already said.

Then we have:

y < -2*x + 7

we can rewrite this as:

2x + y < 7

This is the first solution shown.

7 0
2 years ago
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