3 years ago

Solve the compound inequality 7x ≥ –56 and 9x < 54

Mathematics

1 answer:

Reptile [31]3 years ago

5 0

Answer:

For the first inequality- (-8)

Second inequality- 6

Step-by-step explanation:

First inequality- divide both sides by 7.

Second inequality- divide both sides by 9

Hope this helps ^-^

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Find the exact value of cos 157.5°.

Nonamiya [84]

Cos 157.5º=-cos (180º-157.5º)=-cos 22.5=-cos(45/2)

cos Ф/2=⁺₋√((1+cosФ)/2).

In this case 157.5º is in the second quadrant, therefore we use the following equation:
cos Ф/2=-√((1+cosФ)/2). (we will have a negative number)

cos 157.5º=-cos (45/2)=-√((1+cos 45º)/2)
=-√((1+√2/2)/2)
=-√((2+√2)/4)
=-√(2+√2) / 2 (≈-0.92387...)

Answer: cos 157.5º= -√(2+√2) / 2

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3 years ago

What is the answer to this

stealth61 [152]

Hello!

The angle is a right angle, which measures 90°.

3x + x = 4x

Angle = 4x + 10 = 90

Switch that around

90 - 10 = 4x

90 - 10 = 80

80 = 4x

Divide by 4

$\frac{80}{4} = \frac{4x}{4}$ ]

$\framebox{x = 20 \°}$

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