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jasenka [17]
2 years ago
13

Engineers measure angles in gradients, which are smaller than degrees. The table shows the conversion of some angle measures in

degrees to angles in gradients. What is the slope of the line representing the conversion of degrees to gradients? Express your answer as a decimal rounded to the nearest hundredth.

Mathematics
2 answers:
loris [4]2 years ago
8 0
The table showing the conversion of angle measure in degrees to angles in gradients is attached below.

In order to find the slope we divide the difference of two y-coordinates (or dependent variable which in this case is gradient measure) by the difference of two respective x-coordinates (or independent variable which in this case is degree measure).

For finding the slope we will use the first and the last point given in the table. So, the slope m will be given by:

m= \frac{300-(-200)}{270-(-180)}  \\  \\ 
m= \frac{500}{450} \\  \\ 
m=1.11

So rounding of to nearest hundredth, the slope of line representing the conversion of degrees to gradients is 1.11

dangina [55]2 years ago
6 0

Answer:

1.11

Step-by-step explanation:

i just got it right on edge

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ΔXYZ was dilated, then _____________, to create ΔQAG.
V125BC [204]

Answer:

reflected

Step-by-step explanation:

ΔXYZ was dilated, then reflected, to create ΔQAG.

7 0
2 years ago
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Hannah and Corrine are playing a game by rolling two cubes, each numbered 1 through 6. If the sum of the numbers on the cubes is
Katarina [22]

Answer:

D. Corrine is not correct because Hannah also wins if 6 is on the first cube and 1 is on the second, if 5 is on the first cube and 2 is on the second, and if 4 is on the first cube and 3 is on the second.

Step-by-step explanation:

To get a sum of 7 by rolling two cubes, we need to get one of the combinations from the list below:

1 on the first cube, 6 on the second cube

or

6 on the first cube, 1 on the second cube

2 on the first cube, 5 on the second cube

or

5 on the first cube, 2 on the second cube

3 on the first cube, 4 on the second cube

or

4 on the first cube, 3 on the second cube

Therefore, the correct answer option is D. Corrine is not correct because Hannah also wins if 6 is on the first cube and 1 is on the second, if 5 is on the first cube and 2 is on the second, and if 4 is on the first cube and 3 is on the second.

7 0
2 years ago
Find the third degree polynomial function that has an output of 1,025 when x=5, and has zeros −20 and −4i.
Mumz [18]

Answer:

im not sure

Step-by-step explanation:

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2 years ago
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Find the area of the part of the sphere x2 + y2 + z2 = 100z that lies inside the paraboloid z = x2 + y2.
vekshin1
x^2+y^2+z^2=100z\iff x^2+y^2+(z-50)^2=50^2

The surface of interest can be parameterized by

\mathbf r(u,v)=\begin{cases}x(u,v)=50\cos u\sin v\\y(u,v)=50\sin u\sin v\\z(u,v)=50(\cos v+1)\end{cases}

with 0\le u\le2\pi and 0\le v\le\arccos\dfrac{49}{50}.

The area of the surface S is given by the surface integral

\displaystyle\iint_S\mathrm dA=\iint_T\left\|\mathbf r_u\times\mathbf r_v\right\|\,\mathrm du\,\mathrm dv

We have

\|\mathbf r_u\times\mathbf r_v\|=50^2\sin v

so the area is given by the double integral

\displaystyle50^2\int_{u=0}^{u=2\pi}\int_{v=0}^{v=\arccos(49/50)}\sin v\,\mathrm dv\,\mathrm du=100\pi
6 0
2 years ago
A person's resting heart rate is typically between 60 and 100 beats per minute. Noah looks at his watch, and counts 8 heartbeats
sweet-ann [11.9K]

Answer:

h=48

Step-by-step explanation:

You should create an even proportion. So you could do seconds over heartbeats or the other way around. I decided to do the other way around. Since yu want to see h in m minutes and in a minute there are 60 seconds, I did 8/10 = h/60. Instead of cross multiplying, I saw that 10 times 6 is 60 so 8 x 6=h. 8 x 6 = 48 so h=48.

6 0
1 year ago
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