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.
-3x from both sides so it looks like 2x=20 and divide by 2 and x=10
Answer:
3*w
Step-by-step explanation:
Kamilah now weighs the triple of what she weighed on her first birthday. That means we need to multiply the first weight by 3. As the first weight is w, she now weighs 3*w.
Another possible expression is to sum 3 times w, that is w + w + w (it's equal to 3*w).
Answer:
2x - 5 if x ≤ 2
f(-1) = -7
Step-by-step explanation:
x ≤ 2 = (-1) ≤ 2
x > 2 = (-1) > 2
2x - 5
2(-1) - 5
-2 - 5
-7
