5a. Find the value of x. Round to the nearest tenth (1 decimal place).
1 answer:
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<h3>Answer: 5 cm</h3>
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Explanation:
Recall that the range for cosine is from -1 to 1, including both endpoints. The smallest cosine value is what we're after, since we want the height to be as small as possible (to allow the blade be closest to the table).
Effectively, this means we replace the cos(x) with -1 so that it's as small as possible. Then we compute to get:
20*cos(x)+25
20*(-1) + 25
-20 + 25
5
The height of the fan tip is 5 cm when it is the closest to the table.
Side note: On the flip side, the furthest away the fan tip can get is 20*(1) + 25 = 45 cm. Therefore, the range of y values is
Answer:
The new volume is 375 cubic inches.
Step-by-step explanation:
Volume of a right square prism:
The volume of a right square prism is given by:
In which a is the length of the edge and h is the height.
A right square prism has a volume of 75 cubic inches.
This means that:
The prism is enlarged so its height is increased by a factor of 5
Edge is the same, height is 5 times. So
The new volume is 375 cubic inches.