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DedPeter [7]
3 years ago
6

Which number line shows the solution to the inequality -2(3x-1)<8

Mathematics
1 answer:
Zigmanuir [339]3 years ago
6 0

Answer:

x  > -1

Step-by-step explanation:

Given

-2(3x - 1) < 8

Required

Show on a number line

-2(3x - 1) < 8

Divide through by -2

\frac{-2(3x - 1)}{-2} < \frac{8}{-2}

3x - 1 > -4

Add 1 to both sides

3x -1 + 1 > -4 + 1

3x > -3

Divide through by 3

x  > -1

<em>See Attachment for number line</em>

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Find cos(2115°) and sin(2115°). Identify the measure of the reference angle.
ivolga24 [154]

Answer:

Cos(2115°) =1/√2

Sin(2115°) = -1/√2

Step-by-step explanation:

We have to find the values of Cos (2115°) and Sin (2115°).

Now, 2115° can be written as (23×90°+ 45°).

Therefore, the angle 2115° lies in the 4th quadrant where Cos values are positive and Sin values are negative.

Hence, Cos (2115°) = Cos(23×90° +45°) =Sin 45° {Since 23 is an odd number, so the CosФ sign will be changed to SinФ} =1/√2 (Answer)

Again, Sin (2115°) = Sin(23×90° +45°) = -Cos 45° {Since 23 is an odd number, so the SinФ sign will be changed to CosФ} = -1/√2 (Answer)

Now, the required reference angle is 45°. (Answer)

8 0
3 years ago
A rectangular prism that has a length of 8 feet, width of 6 feet, and height of 12 feet. What is the volume of the prism?
makvit [3.9K]

Answer:

The answer/volume is 576

Explanation:

I used a calculator for the volume online

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3 years ago
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ivolga24 [154]

Answer:

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1.4 x 10 = 14
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