A carpenter has a board 2 meters long. She needs to cut it into 8 equal pieces. How many centimeters long will each piece be? 4 16 25 1600
Answers
Answer:
its 25
Step-by-step explanation:
2 meters / 8 = 0.25 meters each piece
0.25 meters * 100 centimeters / meter
= 25 centimeters each piece
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Final answer:
The volume of a prism is calculated by multiplying the base area by the height, since the base and height of the triangular prism are the same as the triangular pyramid whose volume is three times smaller, the volume of the prism is 270 cubic meters.
Explanation:
The volume of a pyramid is calculated by taking one-third the base area times the height (1/3*bh). In the case of the triangular pyramid mentioned, that calculation has given us a volume of 90 cubic meters. A prism, conversely, has a volume equal to the base area times the height (bh). Given both the triangular pyramid and the prism in your question have congruent bases and the same height, the prism's volume would be three times that of the triangular pyramid. Thus, the volume of the prism is 270 cubic meters.
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Final answer:
The volume of the triangular prism, with the same congruent bases and height as a triangular pyramid of volume 90 m³, is 270 m³.
Explanation:
The volume of a prism is calculated by multiplying the area of the base by the height. In this case, the triangular pyramid and the triangular prism have congruent (same size) bases and the same heights. Therefore, if we denote the area of the base as A, and the height as h, the volume of the pyramid is calculated as (1/3)Ah, and the volume of the prism is calculated as Ah. From the problem, we know that the volume of the pyramid is 90 m³. We can use this equation to determine the volume of the prism.
Since (1/3)Ah = 90 m³ and we want to find Ah (the volume of the prism), we can multiply both sides of the equation by 3 to solve for Ah:
3 * (1/3)Ah = 3 * 90 m³
Ah = 270 m³
So, the volume of the prism would be 270 m³.
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Answers
Answer: D) The bottom right image
Step-by-step explanation: The linear graph is the one that represents a proportional relationship, the graph goes through the origin. You want it to go through the origin.
I hope this helps!
Answers
(n/3)-(5n/6)=1/3
to subtract fractions, make the bottom number the same
n/3 times 2/2=2n/6
(2n/6)-(5n/6) or (2n-5n)/6 so
-3n/6=1/3
multiply both sides by 6
-3n=6/3=2
-3n=2
divide both sides by 3
-n=2/3
mmultiply boht by -1
n=-2/3
tada
n=-2/3
Answers
Answer:
0.2 on the plan
Step-by-step explanation:
The unit is not given, so whatever the unit is will follow. I'm going to say that it is in meters.
25 meters in real life=1 inch (just a guess) on the plan.
25÷5 (the room length given) = 5
1÷5=0.2
You divide them both by the same number so your ratio can have the same rate. Hope this helps.
Answers
The required area that the sprinkler will cover is 50 square feet. Option C is correct.
As mentioned in the question, a lawn sprinkler spins in a circle. The sprinkler covers a radius of 4 feet.
What is surface area?
The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
Here,
Area of the sprinkler,
= area of the circle
= πr²
= 3.14 × 4²
= 50.24
≈50
Thus, the required area that the sprinkler will cover is 50 square feet. Option C is correct.
Learn more about the surface area here: brainly.com/question/2835293
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Answers
4x + 1 → C
(f + g)(x) = f(x) + g(x) = 3x - 1 + x + 2 = 4x + 1