Answer:
(d) 944 mm³
Step-by-step explanation:
The volume of a prism is given by the formula ...
V = Bh
where B is the area of the base, and h is the distance between bases.
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<h3>base area</h3>
Here, the base of the prism is a rectangle with a semicircle on top. The circle has a diameter of 9 mm, so a radius of 4.5 mm. The area of the semicircle is ...
A = 1/2πr² = 1/2π(4.5 mm)² ≈ 31.809 mm²
The area of the rectangle is the product of its length and width.
A = LW = (9 mm)(6 mm) = 54 mm²
So, the total base area is ...
31.809 mm² +54 mm² = 85.809 mm²
<h3>prism volume</h3>
The prism volume is this area multiplied by the length of the figure:
V = Bh = (85.809 mm²)(11 mm) ≈ 944 mm³
The volume of the figure is about 944 mm³.
Answer:
X= -2
Step-by-step explanation:
Answer:
116
Step-by-step explanation:
290% as a decimal is 2.9. "Of" means multiply. You can now multiply 2.9 by 40 to get the answer 116.
Answer:
-2.4-(-7) has the same result as -2+7 because the negative sign and the minus sign cancel each other out. Think of it like this. If you cross the negative sign and the minus sign together, then it makes a plus sign.
Step-by-step explanation:
I gave a basic answer. You might have to elaborate more on this.
Answer:
9-3=6
Step-by-step explanation:
Line from left to right: number 9 (absolute value)
Line from right to left: number 3 (absolute value)
Overall: 9-3=6
We used the minus sign for 3 because the corresponding line is oriented in the opposite direction.
