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2 years ago

Can someone help me with this

Mathematics

1 answer:

STatiana [176]2 years ago

3 0

Answer:

Step-by-step explanation:

Plot the center point, C.

angle APC = 68/2 = 34°

angle ACP = 90°-34° = 56°

Arc AB subtends a central angle of 2×56° = 112°

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What is cos theta when sin theta = sqrt 2/3

Fittoniya [83]

Answer:

Value of cosθ is ±√7/3 .

Step-by-step explanation:

According to the Question , value of :

$\red{\implies sin\theta = \dfrac{\sqrt2}{3}}$

And , we know the identity of sine and cosine as ,

$\boxed{\pink{\sf\implies sin^2\theta + cos^2\theta = 1} }$

Using , this identity we have ;

$\implies sin^2\theta + cos^2\theta = 1 \\\\\implies \bigg( \dfrac{\sqrt2}{3}\bigg)^2 + cos^2\theta = 1 \\\\\implies \dfrac{2}{9} + cos^2\theta = 1 \\\\\implies cos^2\theta = 1 - \dfrac{2}{9} \\\\\implies cos^2\theta = \dfrac{9-2}{9} \\\\\implies cos\theta = \sqrt{\dfrac{7}{9}} \\\\\underline{\boxed{\blue{\bf \implies cos\theta = \pm \dfrac{\sqrt 7 }{3}}}}$

Now , here since θ is in 2nd quadrant and in 2nd quadrant cos is negative . Hence ,the value of cos will be :

$\boxed{\orange{\bf \implies cos\theta =-\dfrac{\sqrt7}{3}}}$

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2 years ago

Which number sentence is an example of the identity property of addition?

Vilka [71]

Answer:

the top one

because identity of addition is adding 0

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2 years ago

Nate's weekly pay increased from $710 to $770. Which of the following is closest to the

Maksim231197 [3]

Answer:

about 7.2 I think

Step-by-step explanation:

if his pay went up all the way to 770 it would be going up either 7.8 or 7.2

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2 years ago

There were 100 questions on a math test. If Jamal got 4 times as many right as he got wrong, what was Jamals score?

IgorLugansk [536]

Jamal's score is 80

Explanation:

Given:

Number of questions = 100

Let w be the number of wrong answers

Let r be the number of right answers

According to question,

r = 4w

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Solving both the equations we get:

4w + w = 100

5w = 100

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If w = 20 then r = 4 X 20 = 80

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3 years ago

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netineya [11]

Answer:

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Step-by-step explanation:

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2 years ago

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