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3 years ago

Which number line represents the solution set for the inequality –4(x + 3) ≤ –2 – 2x?

Mathematics

2 answers:

andrew-mc [135]3 years ago

7 0

The answer is> -5.....

const2013 [10]3 years ago

4 0

-4(x + 3) < = -2 - 2x
-4x - 12 < = -2 - 2x
-4x + 2x < = -2 + 12
-2x < = 10
x > = -5

the correct number line will have closed circle on -5 with shading to the right

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omeli [17]

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3 years ago

The surface area of a cylinder is 1000 square centimeters. The radius of the cylinder is four times the

Elina [12.6K]

Answer:

h = 2.82 cm

Step-by-step explanation:

$surface area = 2 \pi R^{2} + 2 \pi R h\\1000 = 2 \pi (16h^{2} ) + 2 \pi (4h^{2} )\\1000 = 32 \pi h^{2} + 8\pi h^{2} \\1000 = 40 \pi h^{2} \\25 = \pi h^{2} \\\\h = \sqrt{\frac{25}{\pi} } = 2.82 cm$

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3 years ago

A right triangle has one angle that measures 30°. What is the measure of the other acute angle?

Leto [7]

Answer:

60 degrees

Step-by-step explanation:

We know that a right triangle is 90 degrees

We have one angle given of 30 degrees

90 degrees - 30 degrees (known angle) = 60 degrees (unknown angle)

Therefore the unknown angle is 60

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6 0

3 years ago

Work out the size of each angle in this triangle. (write answers in ascending order)

nignag [31]

First we add all the angles together

x + 2x - 20 + 2x + 10 = 5x - 10

Now, you should know that all the angles in a triangle add up to 180°

180 = 5x - 10

Move the 10 to the other side

190 = 5x

Divide both sides by 5

x = 38

So the angles sizes in ascending order are

38 , 46 , 86

4 0

3 years ago

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BaLLatris [955]

Answer:

$(3x + 12) + (2x - 38) + (x + 10) = 180 \degree \\ 6x - 16 = 180 \\ 6x = 196 \\ x = 32.6 \\(3x + 12) : = > 110 \degree \\ (2x - 38) : = > 27.3 \degree \\ (x + 10) : = > 42.6 \degree$

3 0

3 years ago