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Svetradugi [14.3K]
3 years ago
6

Can u please help me find the value of each variable?

Mathematics
1 answer:
jarptica [38.1K]3 years ago
3 0

The arc measure, which corresponds to the central angle measure, is always twice the subtended angle.

So 60 is twice a,

Answer: a=30

84 is twice b

Answer: b=42

60 + 100 is twice c,

Answer: c=80

d is what's left of the circle, total 360 degrees,

d = 360 - 84 - 60 - 100 = 116

Answer: d=116

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Carlos plots a circular planter's wall on a computer. He determines that the circle that defines the part of the planter wall th
lyudmila [28]
1. You have that the circle that defines the part of the planter wall which gets watered by the sprinkler is: (x−10)²+(y+12)²<span>=36.
 
 2. The standard form for the equation of a circle is:
 
 (x-h)</span>²+(y-k)²=r²
 
 (h,k) is the center point.
 r is the radius.
 
 3. Keeping this on mind, you can find the value of the radius, as below:
 
 r²=36
 r=√36
 r=6 m
 
 4. Then, the diameter of the circle is:
 
 D=2r
 D=2(6m)
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<span> 
 What is the diameter, in meters, of the circular area that gets watered by the sprinkler?</span>  
 
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5 0
3 years ago
Read 2 more answers
The movie theater in town has 4 rooms. Each room has 58 seats on the left side and 32 seats on the right side. Which equation co
saveliy_v [14]

Answer:

The right option is (C) (58 + 32)×4

Step-by-step explanation:

Total number of rooms = 4

Number of seats on left = 58 seats in each room

Number of seats on right = 32 seats in each room

Total number of seats in a room = 58 + 32 seats

Total number of seats in the movie theater = Number of rooms × Number of seats in each room

Total number of seats in the movie theater = 4 × (58 + 32)  = 360 seats

Hence the right option is (C) (58 + 32)×4

7 0
3 years ago
According to the 2011 National Survey of Fishing, Hunting, and Wildlife-Associated Recreation, there were over 71 million wildif
suter [353]

Answer:

The probability that between 79% and 81%of the 500 sampled wildlife watchers actively observed mammals in 2011 is P=0.412.

Step-by-step explanation:

We know the population proportion π=0.8, according to the 2011 National Survey of Fishing, Hunting, and Wildlife-Associated Recreation.

If we take a sample from this population, and assuming the proportion is correct, it is expected that the sample's proportion to be equal to the population's proportion.

The standard deviation of the sample is equal to:

\sigma_s=\sqrt{\frac{\pi(1-\pi)}{N}}=\sqrt{\frac{0.8*0.2}{500}}=0.018

With the mean and the standard deviaion of the sample, we can calculate the z-value for 0.79 and 0.81:

z=\frac{p-\pi}{\sigma}=\frac{0.79-0.80}{0.018} =\frac{-0.01}{0.018} = -0.55\\\\z=\frac{p-\pi}{\sigma}=\frac{0.81-0.80}{0.018} =\frac{0.01}{0.018} = 0.55

Then, the probability that between 79% and 81%of the 500 sampled wildlife watchers actively observed mammals in 2011 is:

P(0.79

3 0
3 years ago
A or D i'm having a little trouble with this
sergeinik [125]
I believe it’s D bc I went over A and it doesn’t add up
3 0
3 years ago
Are the polygons similar show work please
Virty [35]
I hope this helps you



4 0
3 years ago
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