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3 years ago

Each time a solid bicycle wheel turns,the bicycle travels 197 cm.what is the area

Mathematics

1 answer:

ohaa [14]3 years ago

6 0

197/pi(3.1416)=62.70(diameter)
Radius=62.70/2
R=31.35
Area=3.1416x(31.35)^2
Area=3087.63

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the line below contains X,Y,and Z, in that order. The ratio of the length of XY to the length of YZ is 5:9. If it can be determi

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We are give the following in the question:

$\dfrac{XY}{YZ} = \dfrac{5}{9}$

We have to find the ration of the length of XY to the length XZ.

This, can be done as:

$\dfrac{XY}{XZ} = \dfrac{XY}{XY+YZ}\\\\\Rightarrow \dfrac{XZ}{XY} = \dfrac{XY+YZ}{XY} = 1 + \dfrac{YZ}{XY}\\\\\Rightarrow \dfrac{XZ}{XY} = 1+\dfrac{9}{5} = \dfrac{14}{5}\\\\\Rightarrow \dfrac{XY}{XZ} =\dfrac{5}{14}$

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3 years ago

An angles vertex is located at (0,0) and the initial ray of the angle points in the 3 oclock direction. Let theta represent the

MrRa [10]

your question is incomplete, here you can find the complete question below:

An angles vertex is located at (0,0) and the initial ray of the angle points in the 3 oclock direction. Let theta represent the varying radian measure of the angle.

a. if the terminal ray of the angle passes through the point(3.38,2.32), whta is the slope of the terminal ray of the angle?

b. if the terminal ray of the angle passes through the point(1.49,3.82), whta is the slope of the terminal ray of the angle?

c. if the terminal ray of the angle passes through the point(1.1,3.95), what is the slope of the terminal ray of the angle?

Answer:

a. 1.45

b. 2.56

c. 3.59

Step-by-step explanation:

As we know that formula to find the slope is change in y-coordinates divided by change in x-coordinates.

$slope=\frac{chnage\ in\ y}{chnage\ in\ x}=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

It is given that initial point is (x1,y1)=(0,0)

Part(a)

initial point is (x1,y1)=(0,0)

terminal point is (x2,y2)=(3.38,2.32)

so the slope of the terminal ray is

$slope=\frac{3.38-0}{2.32-0}=\frac{3.38}{2.32}= 1.45$

Part(b)

initial point is (x1,y1)=(0,0)

terminal point is (x2,y2)=(1.49,3.82)

so the slope of the terminal ray is

$slope=\frac{3.82-0}{1.49-0}=\frac{3.82}{1.49}=2.56$

Part(c)

initial point is (x1,y1)=(0,0)

terminal point is (x2,y2)=(1.1,3.95)

so the slope of the terminal ray is

$slpoe=\frac{3.95-0}{1.1-0}=\frac{3.95}{1.1}= 3.59$

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3 years ago