Answer:
2 3 5 7 11 13 17 19 23 27
Step-by-step explanation:
12 I think
Answer:
Volume = 803.84 cubic inches
Step-by-step explanation:
Volume = πr²h
= 3.14 x 8 x 8 x 4
= 3.14 x 256
= 803.84 cubic inches
Answer:
This circumference of the pond is 2πr (or 2π48), which equals 301.44m(assumine pi is 3.14). How long it takes to walk around depends on the rate of speed.
Question 7
<h3>Answer: A) 15</h3>
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Work Shown:
angle B = angle D = 56
angle C = angle F = 64
The missing angle A adds with B and C to get 180
A+B+C = 180
A = 180-B-C
A = 180-56-64
A = 60
Since angles B and D are congruent, and C and F are congruent, this must mean angle A = angle E. I'm using the angle angle (AA) similarity rule.
angle E = angle A
3x+15 = 60
3x = 60-15
3x = 45
x = 45/3
x = 15
Side note: I'm not sure why your teacher marked angle E as the same as angles C and F. They should have used another angle marker to indicate that angles A and E are the same.
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Question 8
<h3>Answer: B) 17</h3>
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Work Shown:
Triangle ABC is congruent to triangle EDF. The order is important. We have A first, then B, then C for ABC. Also, we have E first, then D, then F for EDF.
Therefore, we have these three pairings
- angle A = angle E
- angle B = angle D
- angle C = angle F
We'll first need angle C
A+B+C = 180
C = 180-A-B
C = 180-42-108
C = 30
which we'll then solve for x
angle F = angle C
4x-4 = 30
4x = 30+4
4x = 34
x = 34/4
x = 8.5
which doubles to
2x = 2*8.5
2x = 17
Answer:
A
Step-by-step explanation:
The answer is A as the height starts at 36 and decreases by 9 inches vertically every 12 inches it goes down horizontally.
If you turn this into an equation, you get y = -(9/12)x+36.
Then, you simplify this to y = -(3/4)x+36, which is A.
