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olga2289 [7]
2 years ago
15

4(2x - 5) + 15 = 11Please exsplain step by step. Thank you x

Mathematics
1 answer:
iogann1982 [59]2 years ago
8 0
4(2x-5)+15=11
8x-20+15=11
8x-5=11
8x=11+5
8x=16
x=16/8
x=2
Hope it helps
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Solve 2csc^2x-2cscx-1=0 <br> for 0° ≤ x ≤ 360°
umka21 [38]

Answer:

Step-by-step explanation:

2 csc²x-2 csc x-1=0

or

\frac{2}{sin^2x} -\frac{2}{sin x} -1=0\\multiply~by~sin^2x\\2-2sin~x-sin^2x=0\\sin^2x+2sinx-2=0\\sin ~x=\frac{-2 \pm\sqrt{2^2-4*1*(-2)} }{2*1} \\=\frac{-2 \pm\sqrt{4+8} }{2} \\=\frac{-2 \pm\sqrt{4*3} }{2} \\=\frac{-2 \pm2\sqrt{3} }{2} \\=-1\pm\sqrt{3} \\|sin~x| \le ~1\\so~sin~x=-1+\sqrt{3} \\sin~x=\sqrt{3} -1\\x=sin^{-1}(\sqrt{3} -1) \approx 47.06^\circ,180-47.06\\or~x=47.06^\circ,132.94^\circ

6 0
2 years ago
What is 680.4•453.6???
Schach [20]

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308629.44

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
I’m confused on the type of angles these are and how to solve them . (Parallel lines and Transversals)
svp [43]

Answer:

7) 49°

8) 77°

9) 87°

10) 135°

Step-by-step explanation:

7) The angles are between the parallel lines, so are "interior." They are on opposite sides of the transversal, so are "opposite interior" angles. Such angles are congruent, so ...

... ? ≅ 49°

8) The angles are adjacent interior angles, so are supplementary.

... ? + 103° = 180°

... ? = 77°

9) The angles are outside the parallel lines, so are "exterior." They are on opposite sides of the transversal, so are "opposite exterior" angles. Such angles are congruent.

... ? ≅ 87°

10) These are vertical angles, so are congruent. (The other parallel line is irrelevant and doesn't need to be there for this relationship to be true.)

... ? ≅ 135°

4 0
3 years ago
Can some one pls help
Olegator [25]

Answer:

Draw an open circle on 3 and shade to the left.

Step-by-step explanation:

First, solve the inequality.

x - 6 < -3

x - 6 + 6 < -3 + 6

x < 3

The less than symbol (<) indicates that 3 is not part of the solution set. Therefore, the circle will be open.

Since the inequality indicates that x is less than 3, shade to the left of 3.

Hope that helps. :)

3 0
2 years ago
Susan works as a tutor for $10 and hour, and as a waitress for $11 an hour. This month, she worked a combined total of 90 hours
uysha [10]

Answer:

\$(990-t)

Step-by-step explanation:

The correct question is

Susan works as a tutor for $10 and hour, and as a waitress for $11 an hour. This month, she worked a combined total of 90 hours at her two jobs. Let t be the number of hours Susan worked as a tutor this month. Write an expression for the combined total dollar amount she earned this month

Let

t -----> the number of hours that Susan work as a tutor

y ----> the number of hours that Susan work as a waitress

z ---> the combined total dollar amount she earned this month

we know that

t+y=90

y=90-t-----> equation A

we know that

The combined total dollar amount she earned this month is equal to the number of hours that Susan work as a tutor multiplied by $10 plus the number of hours that Susan work as a waitress multiplied by $11

z=10t+11y ----> equation B

substitute equation A in equation B

z=10t+11(90-t)

z=10t+990-11t

z=990-t

therefore

The expression for the combined total dollar amount is $(990-t)

3 0
3 years ago
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