Which statement is true about a trend line?

Which sum or difference identity would you use to verify that cos (180° - q) = -cos q?

Phantasy [73]

Answer:

$\cos (a-b)=\cos a \cos b+\sin a \sin b$

Step-by-step explanation:

Given : $\cos (180^{\circ}-q)=-\cos q$

We have to write which identity we will use to prove the given statement.

Consider $\cos (180^{\circ}-q)=-\cos q$

Take left hand side of given expression $\cos (180^{\circ}-q)$

We know

$\cos (a-b)=\cos a \cos b+\sin a \sin b$

Comparing , we get, a= 180° and b = q

Substitute , we get,

$\cos (180^{\circ}-q)=\cos 180^{\circ} \cos (q)+\sin q \sin 180^{\circ}$

Also, we know $\sin 180^{\circ}=0$ and $\cos 180^{\circ}=-1$

Substitute, we get,

$\cos (180^{\circ}-q)=-1\cdot \cos (q)+\sin q \cdot 0$

Simplify , we get,

$\cos (180^{\circ}-q)=-\cos (q)$

Hence, use difference identity to prove the given result.

7 0

3 years ago

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two times a number plus three times a number equals 13. The sum of two numbers is 7. what are the numbers? write the numbers for

wel

Answer:

4

Step-by-step explanation:

$2+ 3 = 5 \\13-5= 8\\8 divided by 2=4 \\x=4$

7 0

3 years ago

A circle has a diameter of 41 centimeters. Which equation can be used to find the radius of this circle? r=41π r=2(41) r=412 r=4

irinina [24]

Answer:

r=41/2

Step-by-step explanation:

You have to divide the diameter, 41, by 2 because the radius of the circle is half of the diameter. So, the answer would be 20.5

8 0

2 years ago

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3/5 of an apple tree is unripe what percent of it is ripe?

trapecia [35]

If 3/5 of the tree is unripe, then 2/5 of the tree is ripe.

2/5 = 0.4

0.4 x 100 = 40% of the tree is ripe

4 0

3 years ago

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Subjects for the next presidential election poll are contacted using telephone numbers in which the last four digits are randoml

vovikov84 [41]

Answer: 0.3439

Step-by-step explanation:

Given :The last four digits for telephone numbers are randomly selected (with replacement).

Here , each position can be occupied with any of the digit independently .

Total digits = 10

Total digits other than 0 = 9

For each digits , the probability that it is not 0 = $\dfrac{9}{10}=0.9$

If we select 4 digits , The probability of getting no 0 = $(0.9)^4 =0.6561$

(By multiplication rule of independent events)

Now , the probability that for one such phone number, the last four digits include at least one 0. = 1- P(none of them is 0)

=1- 0.6561=0.3439

Hence, the probability that for one such phone number, the last four digits include at least one 0. is 0.3439 .

4 0

2 years ago