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3 years ago

Solve (x + 1 < 4) ∩ (x - 8 > -7).

Mathematics

1 answer:

8_murik_8 [283]3 years ago

6 0

Answer:

(1,3)

1<x<3

Step-by-step explanation:

x + 1 < 4

x < 4 - 1

x < 3

x - 8 > - 7

x > - 7 + 8

x > 1

Intersection: *look at the picture*

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2 years ago

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love history [14]

Answer:

<u>The length of GI is 90.06 units</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

GH = 60 units

HI = 42 units

∠H = 123°

2. Using the Law of Cosines, we can find the length of GI, this way:

GI² = GH² + HI² - 2 * GH * HI * cos ∠H

Replacing with the real values:

GI² = 60² + 42² - 2 * 60 * 42 * cos ∠123°

GI² = 3,600 + 1,764 - 2 * 60 * 42 * -0.545

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