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MrRissso [65]
3 years ago
12

All help is appreciated! If sin²(32°) +cos² (M) = 1, then M equals?

Mathematics
1 answer:
zaharov [31]3 years ago
4 0

Answer: M=32°

Step-by-step explanation:

The identity sin²(x)+cos²(x)=1 can help us figure out the value of M. You can see that the problem's format fits exactly the identity. Since x is the same in the identity, we know that M=32°.

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Use the slope formula to find the slope of the line passing through the given points (-4, 7) and (0, 8)
rosijanka [135]
M=(y2-y1)/(x2-x1)
m=(8-7)/(0--4)
m=1/-4
m=-1/4
5 0
3 years ago
Read 2 more answers
Help asap
Mama L [17]

Answer:

216\pi

Step-by-step explanation:

Given the figure.

And the perimeter in the ratio 4: 2: 1.

Perimeter of smallest circle = 8\pi

To find:

Area of shaded region.

Solution:

To find the area, we need to have radius first.

And radius can be calculated by the given perimeter.

Formula for Perimeter is given as:

Perimeter = 2\pi r

8\pi = 2\pi r\\\Rightarrow r = 4\ cm

Radius of smallest circle = 4 cm

Ratio of perimeter is equal to the ratio of the radii.

Radius of 2nd smallest circle by the given ratio = 8 cm

Radius of largest circle = 16 cm

Area of a circle is given the formula:

A = \pi r^2

Area of the smallest circle = \pi 4^2 = 16\pi\ cm^2

Area of the 2nd smallest circle = \pi 8^2 = 64\pi\ cm^2

Area of the largest circle = \pi 16^2 = 256\pi\ cm^2

Area of the shaded region = Area of largest circle + 2 \times Area of 2nd smallest circle + 3 \times Area of smallest circle - 2 \times Area of smallest circle - 3 \times Area of 2nd smallest circle

Area of the shaded region = Area of largest circle - Area of 2nd smallest circle + Area of smallest circle = 256\pi - 64\pi +16\pi = 216\pi

6 0
2 years ago
Here are measurements (in millime- ters) of a critical dimension on an SRS of 16 of the more than 200 auto engine crankshafts pr
Juli2301 [7.4K]

Answer:

(23.97, 24.03)

Step-by-step explanation:

Given the data:

224.120 224.001 224.017 223.982 223.989 223.961 223.960 224.089 223.987 223.976 223.902 223.980 224.098 224.057 223.913 223.999

Confidence interval = m ± Zcritical(s/√n)

n = sample size = 16

Zcritical at 95% = 1.96

Using calculator :

Sample mean, m = 224.0019

Standard deviation, s = 0.0618

Lower bound : 24.0019 - 1.96(0.0618/√16) = 23.971618

Upper bound : 24.0019 + 1.96(0.0618/√16) = 24.032182

(23.97, 24.03)

3 0
2 years ago
Y=-2/3 3 what is the slope of the equation entered as a fraction
djverab [1.8K]

The equation:

y=-\frac{2}{3}x-1

has the form:

y = mx + b

with

\begin{gathered} m=-\frac{2}{3} \\ b=-1 \end{gathered}

m is known as the slope of the line, then the slope is -2/3

5 0
1 year ago
-9=2n Can you please help me
Natalka [10]
<span>-9=2n
n = -9/2 = -4.5</span>
4 0
3 years ago
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