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antoniya [11.8K]
2 years ago
7

Write the prime factorization of 98

Mathematics
1 answer:
Natasha_Volkova [10]2 years ago
7 0

Answer:

2 * 7^2

Step-by-step explanation:

98 /2 = 49

49 / 7 = 7

2 * 7 * 7 = 98

plz mark brainliest

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If cos(x) = Three-fourths and tan(x) < 0, what is cos(2x)?
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Step-by-step explanation:

The value of sin(2x) is \sin(2x) = - \frac{\sqrt{15}}{8}sin(2x)=−

8

15

How to determine the value of sin(2x)

The cosine ratio is given as:

\cos(x) = -\frac 14cos(x)=−

4

1

Calculate sine(x) using the following identity equation

\sin^2(x) + \cos^2(x) = 1sin

2

(x)+cos

2

(x)=1

So we have:

\sin^2(x) + (1/4)^2 = 1sin

2

(x)+(1/4)

2

=1

\sin^2(x) + 1/16= 1sin

2

(x)+1/16=1

Subtract 1/16 from both sides

\sin^2(x) = 15/16sin

2

(x)=15/16

Take the square root of both sides

\sin(x) = \pm \sqrt{15/16

Given that

tan(x) < 0

It means that:

sin(x) < 0

So, we have:

\sin(x) = -\sqrt{15/16

Simplify

\sin(x) = \sqrt{15}/4sin(x)=

15

/4

sin(2x) is then calculated as:

\sin(2x) = 2\sin(x)\cos(x)sin(2x)=2sin(x)cos(x)

So, we have:

\sin(2x) = -2 * \frac{\sqrt{15}}{4} * \frac 14sin(2x)=−2∗

4

15

∗

4

1

This gives

\sin(2x) = - \frac{\sqrt{15}}{8}sin(2x)=−

8

15

6 0
2 years ago
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A total of 765 tickets were sold for the school play. They were either adults or students tickets. There were 65 more student ti
Brrunno [24]

Answer: 350 adult tickets

Step-by-step explanation:

(omg I remember this question!)

  • a stands for the number of adult tickets sold

student tickets : a + 65

<em>the equation for the prob: </em>

765 = a + (a + 65)

<em>solve:</em>

combine 'like terms'

1.) 765 = a + a + 65

2.) 765 = 2a + 65

<u>- 65         - 65 </u>

700= 2a

divide by 2

700/2 = 2a/2

<em>(700/2 = 350) </em>

<em>(the "2" in 2a is cancelled out by the other 2)</em>

<u>350 = a </u>

7 0
2 years ago
1 Point
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Answer:

A

Step-by-step explanation:

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Write an algebraic equation for the situation:
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Step-by-step explanation:

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