Figure 2 is a scaled copy of Figure 1. Identify the point in Figure 2 that corresponds to point K in Figure 1.

The radius of the tires of a car is 18 inches, and they are revolving at the rate of 651 revolutions per minute. How fast is the

Mumz [18]

So the car is moving at 651 revolutions per minute, with wheels of a radius of 18inches

so, one revolution, is just one go-around a circle, and thus 2π, 651 revolutions is just 2π * 651, or 1302π, the wheels are moving at that "angular velocity"

now, what's the linear velocity, namely, the arc covered per minute

well $\bf v=rw\qquad 
\begin{cases}
v=\textit{linear velocity}\\
r=radius\\
w=\textit{angular velocity}\\
----------\\
r=18in\\
w=1302\frac{\pi }{min}
\end{cases}\implies v=18in\cdot \cfrac{1302\pi }{min}
\\\\\\
v=\cfrac{23436\pi\ in}{min}$

now, how much is that in miles/hrs? well
let's keep in mind that, there are 12inches in 1foot, and 5280ft in 1mile, whilst 60mins in 1hr

thus $\bf \cfrac{23436\pi\ in}{min}\cdot \cfrac{ft}{12in}\cdot \cfrac{mi}{5280ft}\cdot \cfrac{60min}{hr}\implies \cfrac{23436\cdot \pi \cdot 60\ mi}{12\cdot 5280\ hr}$

notice, after all the units cancellations, you're only left with mi/hrs

4 0

3 years ago

Which is cheaper? 20% off the original price of 19.99 or 10% off its original price of $17 for a book?

svetlana [45]

You have to compute the prices of the two alternatives after deducting discount based on the different percentage given.

First alternative: $19.99 – ($19.99 x 20%) = $15.99

Second alternative: $17 – ($17 x 10%) = $15.30

Therefore, the alternative where there will be a 10% off on the original price of $17 for a book is cheaper.

7 0

4 years ago

-3x+10y=-20 <br> -8x+2y=11 elimination method

Semenov [28]

(-75/37, -193/74) is your answer .-.

5 0

3 years ago

What is the answer to sketch , draw and construct a segment congruent to RS?

ankoles [38]

In geometry, "construct" means do it with a straightedge (not a ruler) and compass.

Here's how you do it:

1. Using the straightedge, draw a line clearly longer than segment RS.

2. Place a dot at one end of the line you drew.

3. Stick the "center" of your compass in the R position of the RS segment.

4. Open the compass so the pencil point passes through the S position. Your compass now marks off segment RS.

5. Without opening or closing the compass, pick it up and stick the center into the dot you made on your new line.

6. Still without opening or closing the compass, make a hash mark that crosses your new line.

7. Place a dot where the hash mark crosses the line. The segment on the new line between the two dots is a segment congruent to RS.

Notice that you didn't use a ruler to measure anything. This is called a "construction" in geometry. It's what the ancient Greeks used to do.

4 0

4 years ago

Calculate the input when the output is n

ozzi

Answer:

You didn't post an image.

Step-by-step explanation:

6 0

3 years ago