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dalvyx [7]
2 years ago
10

Find the volume of the solid.

Mathematics
1 answer:
Romashka-Z-Leto [24]2 years ago
3 0
90 cu in.
V= L * W * H
Split shape into two figures

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Jonathan has a bag that co rains exactly one red marble (r), one yellow marble (y) and one green marble (g). He chooses a marble
liraira [26]

Answer: The first outcome shall be 0.33 or 33%.

The second outcome would be 0.5 or 50%

Step-by-step explanation: The bag contains exactly one yellow, one red and one green marble. So when he draws the first marble the sample space shall be the total possible outcomes, which is three, since he has three (3) marbles altogether. When he draws the first time without looking, all three marbles have an equal probability of being picked which can be derived thus;

P(Red) = Number of required possibilities/Number of all possibilities

P(Red) = 1/3

P(Red) = 0.33

Note that there is only one marble of each color which means P(Yellow) and P(Green) is also 0.33 respectively.

After choosing the first marble, without replacing the first one he now chooses another marble. The sample size would have reduced to 2 (since one marble has been drawn). Hence, the outcome when he draw a second marble can be calculated as follows;

P(Red) = Number of required outcomes/Number of possible outcomes

P(Red) = 1/2

P(Red) = 0.5

6 0
3 years ago
Noah and Lin are making paper cones to hold popcorn to hand out at parent math night. They want the cones to hold 9 cubic inches
DanielleElmas [232]

Answer:

So, The possible values of h and r are

1. r = 3 , h = 3

2. r = 1, h = 27

3. r = 2, h = 6.75

Step-by-step explanation:

P.S - The exact ques is -

As we know that Volume of cone , V = \frac{1}{3}\pi r^{2}h

As given,

V = 9\pi

⇒\frac{1}{3}\pi r^{2}h = 9\pi \\  \frac{1}{3} r^{2}h = 9 \\r^{2}h = 27

So,

The possible values of h and r are

1. r = 3 , h = 3

2. r = 1, h = 27

3. r = 2, h = 6.75

In Case I-

When r = 3, h = 3

(3)² ×3 = 9×3 = 27

Satisfied

Case II-

r = 1, h = 27

(1)²×27 = 1×27 = 27

Satisfied

Case III-

r = 2, h = 6.75

(2)²×6.75 = 4×6.75 = 27

Satisfied

8 0
3 years ago
a circle has a circumstance of 20. it has an arc on length 4. what is the central angle of the arc in degrees?
erastovalidia [21]

Answer:

∠72°.

Step-by-step explanation:

If a circle has a circumference of 20 and an arc with a length of 4, we can simply set up a ratio to determine the angle of the arc in degrees:

\frac{4}{20} = \frac{x}{360}

Cross multiply:

1440 = 20x\\

Divide both sides by '20':

x = 72°.

Therefore, the measure of the central angle of the arc is ∠72°.

4 0
3 years ago
The five evidence-based recommendations addressed in the practice guide include all of the following except:
lara [203]

Answer:

I would say b since this defintally usally you aren't expeced to use math ouside of math class at school

Hope This Helps!!!

7 0
2 years ago
What is m (There is no multiple choice just find m
Sauron [17]

Answer:

160 degrees.

Step-by-step explanation:

Line ABC is a straight line, and the angle on a straight line is always 180 degrees.

Since ABD + DBC = ABC, we know that x+8x=180

9x=180

Divide both sides by 9:

x=180\div 9=20

DBC is 8x=8\times 20=160 degrees.

4 0
3 years ago
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