9514 1404 393
Answer:
B. Figure B
Step-by-step explanation:
The figure is difficult to read. We assume the height of the pyramid is 9, and the radius of the cylinder is 1.
The pyramid volume is ...
V = 1/3Bh
V = 1/3(4²)(9) = 48 . . . cubic units
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The cylinder volume is ...
V = πr²h
V = π(1²)(48) = 48π . . . cubic units
The cylinder has π times as much volume as the pyramid. Figure B is larger.
_____
<em>Additional comment</em>
If the diameter (not the radius) of the cylinder is 1 unit, then its volume is 12π cubic units and the pyramid has more volume.
Think of absolute value and inverse operation, +72 to 72 and 24
Answer:
25 seconds
Step-by-step explanation:
Hi there!
In order to answer this question, first we need to know how many bolts per second are produced by each machine, this can be known by dividing the number of bolts by the time it takes.
For machine A:

For machine B:

So, if the two machines run simultaneously, we will have a rate of prodcution of bolts equal to the sum of both:

Now, we need to know how much time it will take to producee 200 bolts, to find this out we need to divide the amount of bolts by the production rate:

The <em>bolts</em> unit cancell each other and we are left with <em>seconds</em>

So it will take 25 seconds to produce 200 bolts with machine A and B running simultaneously.
Greetings!
Answer:
10.5 ft
Step-by-step explanation:
In ΔQRS,
- m∠S=90°
- m∠R=29°,
- SQ = 5.8 feet.
See the diagram below.
The triangle is a Right Triangle,
Using trigonometric ratios,

Answer:
1 3/8
Step-by-step explanation:
Step by step explanation is below. See attachment :)