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3 years ago

11

Solve the inequality. 2(b – 8) > 12

2 answers:

kobusy [5.1K]3 years ago

6 0

We can solve this this as if the greater than sign were an equal sign. we'll solve for b.
1. use the distributive property: 2(b-8) = 2b-16
2. add 16 to both sides: 2b-16>12 = 2b>28
3. divide both sides by 2 to get b isolated: 2b>28 = b>14
therefore, your answer it b > 14

sashaice [31]3 years ago

5 0

2b-16>12 add the 16 2b>28 then divide by 2
b>14

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In ΔFGH, the measure of ∠H=90°, GF = 53, HG = 28, and FH = 45. What ratio represents the sine of ∠G?

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we have been given that in ΔFGH, the measure of ∠H=90°, GF = 53, HG = 28, and FH = 45. We are asked to find the ratio that represents the sine of ∠G.

First of all, we will draw a right triangle using our given information.

We know that sine relates opposite side of right triangle with hypotenuse.

$\text{sin}=\frac{\text{Opposite}}{\text{hypotenuse}}$

We can see from the attachment that opposite side to angle G is FH and hypotenuse is GF.

$\text{sin}(\angle G)=\frac{FH}{GF}$

$\text{sin}(\angle G)=\frac{45}{53}$

Therefore, the ratio $\frac{45}{53}$ represents the sine of ∠G.

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Step-by-step explanation:

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