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3 years ago

Solve the inequality and enter your solution as an inequality comparing the variable to a number X + 24 > 67

Mathematics

1 answer:

Free_Kalibri [48]3 years ago

6 0

Answer:

X > 43

Step-by-step explanation:

The inequality is given by :

X + 24 > 67

We need to solve the inequality.

Subtract 24 from both sides of the inequality.

X + 24 -24 > 67 - 24

X > 43

So, the solution of the inequality is more than 43.

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Answer:

-3x+25

Step-by-step explanation:

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ch4aika [34]

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Step-by-step explanation:

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3 years ago

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2 years ago

20.) A=49.23 degrees, c=54.8Solve the right triangle. Express angles in decimal degrees.

vivado [14]

$\begin{gathered} a=41.50 \\ b=35.78 \\ B=40.76\text{ \degree} \\ \end{gathered}$

Explanation

Step 1

a) let

$\begin{gathered} A=49.23\text{ \degree} \\ c=54.8\text{ \degree} \end{gathered}$

b) b value

to find the measure of side b we can use cosine function

$\begin{gathered} cos\theta=\frac{adjacent\text{ side}}{hypotenuse} \\ replace \\ cos\text{ 49.23=}\frac{b}{54.8} \\ b=54.8*cos49.23 \\ b=35.78 \end{gathered}$

c) angle B

to find the measure of Angle B we can use sine function

$\begin{gathered} sin\theta=\frac{opposite\text{ side}}{hypotenuse} \\ replace \\ sin\text{ B=}\frac{35.78}{54.8} \\ sin\text{ B= 0.65}\Rightarrow inverse\text{ function to isolate B} \\ B=\sin^{-1}(0.65) \\ B=40.76 \end{gathered}$

d) side a

$\begin{gathered} sin\theta=\frac{opposite\text{ side}}{hypotenuse} \\ sin\text{ A=}\frac{a}{c}=\frac{\placeholder{⬚}}{\placeholder{⬚}} \\ sin\text{ 49.23=}\frac{a}{54.8} \\ multiply\text{ both sides by 54.8} \\ 54.8s\imaginaryI n\text{49.23=}\frac{a}{54.8}*54.8 \\ 41.50=a \end{gathered}$

so, the answer is

$\begin{gathered} a=41.50 \\ b=35.78 \\ B=40.76\text{ \degree} \\ \end{gathered}$

I hope this helps you

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1 year ago

What is the value of n - 7 when n = 14

Burka [1]

Answer: 7

Step-by-step explanation:

We substitute n for 14 to get the equation 14-7, which equals 7.

6 0

1 year ago