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3 years ago

Solve the inequality and describe the solution set y-6 >12

Mathematics

1 answer:

cupoosta [38]3 years ago

5 0

Answer:

y>18

Step-by-step explanation:

Move all terms not containing y to the right sideof the inequality.

Inequality Form:

y>18

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How do I find the variable for 3y+4-y=3

miskamm [114]

3y+4-y=3
combine like terms
2y +4 = 3
subtract 4 on both sides
2y = -1
divide both sides by 2
y = -1/2

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3 years ago

Please answer show working out please!!!!!!!!

Nikitich [7]

It's as easy as I solved it

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3 years ago

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(a) The weight of a package affects the cost to send that package through the mail.

skelet666 [1.2K]

Answer:

cost to mail package

Step-by-step explanation:

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3 years ago

The law of cosines is used to find the measure of Z.

Shtirlitz [24]

Answer:

C. $Z=51^{\circ}$

Step-by-step explanation:

We have been given a triangle. We are asked to find the measure of angle Z using Law of cosines.

Law of cosines: $c^2=a^2+b^2-2ab\cdot \text{cos}(C)$ , where, a, b and c are sides opposite to angles A, B and C respectively.

Upon substituting our given values in law of cosines, we will get:

$16^2=19^2+18^2-2(19)(18)\cdot \text{cos}(Z)$

$256=361+324-684\cdot \text{cos}(Z)$

$256=685-684\cdot \text{cos}(Z)$

$256-685=685-685-684\cdot \text{cos}(Z)$

$-429=-684\cdot \text{cos}(Z)$

$\frac{-429}{-684}=\frac{-684\cdot \text{cos}(Z)}{-684}$

$0.627192982456=\text{cos}(Z)$

$\text{cos}(Z)=0.627192982456$

Now, we will use inverse cosine or arc-cos to solve for angle Z as:

$Z=\text{cos}^{-1}(0.627192982456)$

$Z=51.1566718^{\circ}$

$Z\approx 51^{\circ}$

Therefore, the measure of angle Z is approximately 51 degrees.

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3 years ago

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