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2 years ago

The image shows a circle centered at point O angle AOB Measures at 42 degrees.

Mathematics

1 answer:

trasher [3.6K]2 years ago

7 0

The measure of angle ACB for circle centered at point O is 21°

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

∠AOB = 2 * ∠ACB (angle at center is twice the angle at circumference)

42 = 2 * ∠ACB

∠ACB = 21°

The measure of angle ACB for circle centered at point O is 21°

Find out more on equation at: brainly.com/question/2972832

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Answer:

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Step-by-step explanation:

Part 11) write a recursive rule for the sequence

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Let

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we know that

$a_2-a_1=1-17=-16$ ----> $a_2=a_1-16$

$a_3-a_2=-15-1=-16$ ----> $a_3=a_2-16$

$a_4-a_3=-31-15=-16$ ----> $a_4=a_3-16$

This is an arithmetic sequence

In an Arithmetic Sequence the difference between one term and the next is a constant, and this constant is called the common difference (d).

In this problem the common difference is equal to $d=-16$

therefore

A recursive rule for the sequence is

$a_n=a_{n-1}+d$

substitute the value of d

$a_n=a_{n-1}-16$

where

$a_1=17$

Part 12) What is the complex conjugate of 4-3i?

we know that

The <u><em>complex conjugate</em></u> of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign

we have that

the real part of the given number is 4 and the the imaginary part is -3i

the imaginary part equal in magnitude but opposite in sign is +3i

therefore

the complex conjugate of the given number is equal to

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natima [27]

Answer: 0.2358

Step-by-step explanation:

Using Normal Distribution, under the standard normal curve

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So, the area to the right of z= 0.72 under the standard normal curve would be:

P(Z>0.72)=1-P(z<0.72)

=1-0.7642 [By using p-value table]

= 0.2358

Hence, the area to the right of z= 0.72 under the standard normal curve is 0.2358 .

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Step-by-step explanation:

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