Answer:
11.5 cm^3
Step-by-step explanation:
The volume of a sphere is (4/3)(pi)(r^3). To find the radius, divide the diameter of 2.8 to get 1.4. Then plug it in to get 11.49. 11.49 rounded to the nearest tenth is 11.5 cm^3.
Answers are:
16.
-1 - (-4) = 3
17.
-1-1/3 - (-4) = 2-2/3
18.
2 - (-1) = 3
19.
3-1/2 - (-1) = 4-1/2
20.
3-1/2 - 2 .= 1-1/2
21.
3-1/2 - (-1-1/3) = 4-5/6
Step by step: I took one point and subtracted the second point to get the length of each segment. You could also look at the ruler and count from one point to the other.
Remember when you subtract a negative, the two negatives become a positive
<h3>
Answer: 14 feet</h3>
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Explanation:
Check out the diagrams below.
We'll start with the left diagram (marked "before") which is a right triangle with the horizontal leg of 25 feet and hypotenuse 65 feet.
Use the pythagorean theorem to find the vertical side x.
a^2 + b^2 = c^2
25^2 + x^2 = 65^2
625 + x^2 = 4225
x^2 = 4225 - 625
x^2 = 3600
x = sqrt(3600)
x = 60
The top of the ladder is 60 feet high when placed against the wall in this configuration.
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If the upper end is moved down 8 feet, then x-8 = 60-8 = 52 feet is the new height of the ladder. Refer to the "after" in the diagram below.
Like earlier, we'll use the pythagorean theorem to find the missing side.
a^2 + b^2 = c^2
y^2 + 52^2 = 65^2
y^2 + 2704 = 4225
y^2 = 4225 - 2704
y^2 = 1521
y = sqrt(1521)
y = 39
The horizontal distance from the ladder base to the wall is now 39 feet.
Earlier it was 25 feet, so it has increased by 39-25 = 14 feet.
Answer: $4110.8 (more likely - 95% sure) or $2,107 (less likely)
Step-by-step explanation: It could be $4110.8 because you have the take the total they made and subtract is from the cost of the toys ($7,230-$2,450=$4,780). Then you have to take the result of that and get 14% of it, then subtract that from the $4,780 amount. Then you get the final answer which is $4110.8.
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However, it could also be $2,107 because the question itsn't that clear in the second sentence. It could be saying that $2,450 is the price of the toys (which is what I assumed above), or that it is the profit that the $2,450 (which I used below). I think that the above answer is more likely because if not then the first number would never be used. Anyways here is the second way it could be.
Step-by-step explanation: It could be $2,107 because you take the profit ($2,450) and get 14% of it, then subtract that from the $2,450 amount. Then you get the final answer which is $2,107.
If I was you, I would do the first one ($4110.8) because I really think it is that one. I just put the other one here just in case.
Answer:
C. 60°
Step-by-step explanation:
Add the two given angles and subtract from 180°