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GrogVix [38]
3 years ago
13

A central angle of a circle measures 42 degrees. What else can be shown to measure 42 degrees?

Mathematics
1 answer:
Slav-nsk [51]3 years ago
4 0

Answer:

Vertically opposite angles

Step-by-step explanation:

Given

\theta = 42^\circ

Required

What else can measure \theta = 42^\circ

The question has missing options. So, I will give a general explanation.

Using the attached image as a point of reference.

Given that:

\theta = 42^\circ

The value of b is calculated as:

b = \theta

Because b and \theta are vertically opposite angles

<em>This gives:</em>

<em></em>b = 42^\circ<em></em>

<em></em>

<em>So, one possible answer to the question is a vertically opposite angle</em>

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MAXImum [283]
1/4a-17=-15
1/4a=-15+17
1/4a=2
(1/4*4)a=(2*4)
a=8

4 0
4 years ago
According to an article in Newsweek, the rate of water pollution in China is more than twice that measured in the US and more th
jeyben [28]

Answer:

(a) 0.119

(b) 0.1699

Solution:

As per the question:

Mean of the emission, \mu = 11.7 million ponds/day

Standard deviation, \sigma = 2.8 million ponds/day

Now,

(a) The probability for the water pollution to be at least 15 million pounds/day:

P(X\geq 15) = P(\frac{X - /mu}{\sigma} \geq \frac{15 - 11.7}{2.8})

P(X\geq 15) = P(Z \geq 1.178)

P(X\geq 15) = 1 - P(Z < 1.178)

Using the Z score table:

P(X\geq 15) = 1 - 0.881 = 0.119

The required probability is 0.119

(b) The probability when the water pollution is in between 6.2 and 9.3 million pounds/day:

P(6.2 < X < 9.3) = P(\frac{6.2 - 11.7}{2.8} < \frac{X - \mu}{\sigma} < \frac{9.3 - 11.7}{2.8})

P(6.2 < X < 9.3) = P(- 1.96 < Z < - 0.86)

P(6.2 < X < 9.3) = P(- 1.96 < Z < - 0.86)

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4 0
3 years ago
Find the derivative of f(x) = 8x^2 + 11x at x = 7.
sleet_krkn [62]
Thank you for posting your question here at brainly. Feel free to ask more questions.  

f′(x)=2∗(8x(2−1))+1∗11x(1−1)

which is

f′(x)=16x+11

then let x = 7 gives us

f′(7)=123

      <span>
<span>Hope my answer would be a great help for you. </span> </span>  

<span> </span>

6 0
3 years ago
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Sergio039 [100]
We are given D (7, -3) and D'(2, 5).

SAppy the transformation
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Then 
x=7 → x=7-5 = 2
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