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3 years ago

What is the volume of a hemisphere that has a diameter of 12.6 cm, to the nearest tenth of a cubic centimeter?

1 answer:

3 0

Volume of a sphere = 4/3 pi r^3
A hemisphere is half a sphere so 1/2*4/3 pi r^3 = 2/3 pi r^3
Given diameter = 12.6 but we need radius so diameter /2 or 12.6/2 r=6.3
2/3*pi*6.3^3 =
2/3*pi*250.047
166.698*pi
= 523.7

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Michelle draws a card from a standard deck of 52 cards. She replaces the card and draws a second card. What is the probability t

erma4kov [3.2K]

To draw a heart, one would be choosing 1 card of 13 possible hearts, and 0 from the remaining 39 non-hearts. With respect to the entire deck, one would be choosing 1 card from 52 total cards. So the probability of drawing a heart is

$\dfrac{\dbinom{13}1\cdot\dbinom{39}0}{\dbinom{52}1}=\dfrac{13\cdot1}{52}=\dfrac14$

When Michelle replaces the card, the deck returns the normal, so the probability of drawing any card from a given suit is the same, $\dfrac14$ . In other words, drawing a spade is independent of having drawn the heart first.

So the probability of drawing a heart, replacing it, then drawing a spade is $\dfrac14\cdot\dfrac14=\dfrac1{16}$ .

4 0

3 years ago

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If the measure of the angle m is twice the measure of its complement if the given angle is 40 degrees, What is the measure of an

sladkih [1.3K]

C. Because complementary angles are two angles whose sum equals 90 degrees so do 90-40=50 then 50x2= 100

4 0

2 years ago

Can someone tell me if im right? PLEASE DONT JUST SAY YES if you don’t know

tia_tia [17]

Answer: You are incorrect, the slope is correct, but the actual y-intercept is 205 ft.

Then the equation is:

y = (-15 ft/min)*x + 205 ft

Step-by-step explanation:

Ok, let's solve this.

We know that water is drained from a reservoir, let's assume that we can model this situation with a linear relation:

y = a*x + b

Where x is time, y is the height of the water in the reservoir, a is the slope (in this case represents how much changes the height of the water in the reservoir in one unit of time) and b is the initial height of the water in the reservoir.

We know that for a line that passes through the points (x₁, y₁) and (x₂, y₂) the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

For this particular case we know that after 2 minutes the height of the water is 175 ft, then we have the point (2 min, 175 ft)

and after 5 minutes (so 7 minutes in total), the height of the water is 100ft, then: (7 ft, 100ft)

Then the slope of this:

a = (100 ft - 175 ft)/(7 min - 2 min) = (-75ft/5min) = - 15 ft/min

Then our line is something like:

y = (-15ft/min)*x + b

To find the value of b, we can use the fact that when x = 2 min, y = 175 ft

So if we replace these two values in the equation we get:

175ft = (-15 ft/min)*2 min + b

175 ft = -30 ft + b

175 ft + 30 ft = b

(here is your problem, it seems like you subtracted instead of adding in this part)

205 ft = b

Then the equation is:

y = (-15 ft/min)*x + 205 ft

So you are incorrect (but only for a little bit), you computed wrong the y-intercept.

3 0

3 years ago

What is the minimum value for the function shown in the graph?<br><br> Enter your answer in the box.

Fudgin [204]

The minimum value is the lowest point of a graphed line. The would be the bottom of the "U" shape.

Looking at the graph you can see that the bottom of the U is touching the horizontal line at x = -5.5, so this would be the minimum value.

The lowest part of the line is at -5.5

5 0

3 years ago

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Can someone help me please?

Genrish500 [490]

Answer:

Step-by-step explanation:

The angle sum theorem *I think* is that for an n-sided shape, the total sum of its angles is 180(n-2).

The sum of a triangles' angles is 180 degrees.

Therefore 4v-44 = 180.

v - 11 = 45

v = 56 degrees

Note: always check if the answer makes sense

6 0

3 years ago

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