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3 years ago

10

You are in charge of creating a billboard advertisement that is 16 feet long and 8 feet tall. You make a scale drawing that is 3

2 inches wide and 16 inches high. What is the scale factor of your design?
The scale factor is
.

1 answer:

Romashka-Z-Leto [24]3 years ago

4 0

Answer: 6 inches = 1 inch.

Step-by-step explanation: 16 ft is 192 inches. 192 in/ 32 = 6 so our scale factor is 6 inches = 1 inch.

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3 years ago

When a cylindrical tank is filled with water at a rate of 22 cubic meters per hour, the level of water in the tank rises at a ra

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Answer:

$r=\sqrt{10}\text{ m}$

Step-by-step explanation:

We have been given that when a cylindrical tank is filled with water at a rate of 22 cubic meters per hour, the level of water in the tank rises at a rate of 0.7 meters per hour. We are asked to find the approximate radius of tank in meters.

We will use volume of cylinder formula to solve our given problem as:

$V=\pi r^2h$ , where,

r = Radius,

h = Height of cylinder.

Since the level of water in the tank rises at a rate of 0.7 meters per hour, so height of cylinder would be $h = 0.7$ meters at $V=22\text{ m}^3$ .

Upon substituting these values in above formula, we will get:

$22\text{ m}^3=\frac{22}{7}\cdot r^2(0.7\text{ m})$

$22\text{ m}^3=\frac{22}{10}\cdot r^2\text{ m}$

$\frac{10}{22}\cdot\frac{22\text{ m}^3}{\text{m}}=r^2$

$r^2=\frac{10}{22}\cdot\frac{22\text{ m}^3}{\text{m}}$

$r^2=10\text{ m}^2$

Now, we will take positive square root of both sides as radius cannot be negative.

$\sqrt{r^2}=\sqrt{10\text{ m}^2}$

$r=\sqrt{10}\text{ m}$

Therefore, radius of tank would be approximately square root of 10 m.

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gtnhenbr [62]

If I were to tell a kid how to use the formula (the SA of a pyramid it looks like):

First, find the area of the base of the figure, using length times width.

Next, find the perimeter of the base by adding up the length of each side of the base.

Multiply the perimeter of the base by the slant height of the figure, which is the line on the side of the figure that is diagonal.

Divide the answer you got from multiplying the perimeter of the base times the slant height of the base by 2.

Now add up the area of the base of the figure with the answer you just got by dividing the perimeter of the base times the slant height by 2.

That is how you use the formula: SA = B + 1/2(P · l)

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3 years ago