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nika2105 [10]
3 years ago
7

Match the compound inequalities

Mathematics
1 answer:
kondor19780726 [428]3 years ago
5 0

I one is 8x<24 and -8≤2x-4

Hence x <24/8 =3 and -4≤2x:  divide by positive 2 to get -2≤x

Hence solution is -2≤x<3

Therefore c is the correct matching for 1.

2) 5x-2>13 or -4x≥8  

i.e. 5x>15 or x≤8/(-4) = -2 (since dividing by negative inequality reverses)

Or x>3 or x ≤-2

Hence solution is two regions to the right of 3 excluding 3 and left of -2 including -2.

Graph b is the correct match.

3) -25≤9x+2<20

Subtract 2

-27≤9x<18: Now divide by positive 9

-3≤x<2

Hence graph is the region between -3 and 2 including only -3.

Graph a is correct matching for question 3.

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Answer:

Step-by-step explanation:

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3 years ago
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A 10-foot ladder touches the side of a building at a point 8 feet above the ground. At what height would a 22-foot ladder touch
WARRIOR [948]
<h2>Answer:</h2>

8.75 feet

<h2>Step by step:</h2>

Given that a 12 foot ladder leans against a building seven feet above the ground.

By using trigonometry ratio, the angle between the ladder and the ground will be

SinØ = opposite/ hypothenus

SinØ = 7 / 12

SinØ = 0.58333

Ø = Sin^-1(0.58333)

Ø = 35.69 degree

At what height would an 15 foot ladder touch the building if both ladders form the same angle with the ground?

Using the same trigonometric ratios

SinØ = opposite/hypothenus

Sin 35.69 = opposite/ 15

Cross multiply

Opposite = 15 × sin 35.69

Opposite = 8.75 feet

Therefore, the ladder will touch the building if both ladders form the same angle with the ground at height 8.75 feet.

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2 years ago
Complete the factoring.<br> 3y+30=3(3)
Dmitriy789 [7]
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6 0
3 years ago
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Find the volume of the composite figure. Round to the nearest tenth if necessary.
VARVARA [1.3K]

The volume of the given composite figure is: 375 m³.

<h3>What is the Volume of a Composite Figure?</h3>

Volume of the composite figure = volume of triangular prism at the bottom + volume of rectangular prism at the top.

Volume of the composite figure = 0.5 * b * h * length + (l)(h)(w)

= 0.5 * 5 * 4 * 5 + (13)(5)(5)

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Volume of the composite figure = 375 m³

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brainly.com/question/24187665

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