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3 years ago

11

Algebra 1 - 15 pts + brainliest

1 answer:

Jobisdone [24]3 years ago

4 0

Answer:

1. 2w+2*(5w) less than or equal to 96

Step-by-step explan2ation:

The width here is in fact 8, so it is possible to get 96, but it has to be either 96 or lower, so in theory 3 is the only one with the correct symbols. Also, 2w represents the fact that the width, w, is multiplied by 2 since its perimeter. 5x represents length, so length also needs to be multiplied twice. Sorry I don't have time to answer the rest

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Please solve 5 f <br> (Trigonometric Equations)<br> #salute u if u solved it

Zanzabum

Answer:

$\beta=45\degree\:\:or\:\:\beta=135\degree$

Step-by-step explanation:

We want to solve $\tan \beta \sec \beta=\sqrt{2}$ , where $0\le \beta \le360\degree$ .

We rewrite in terms of sine and cosine.

$\frac{\sin \beta}{\cos \beta} \cdot \frac{1}{\cos \beta} =\sqrt{2}$

$\frac{\sin \beta}{\cos^2\beta}=\sqrt{2}$

Use the Pythagorean identity: $\cos^2\beta=1-\sin^2\beta$ .

$\frac{\sin \beta}{1-\sin^2\beta}=\sqrt{2}$

$\implies \sin \beta=\sqrt{2}(1-\sin^2\beta)$

$\implies \sin \beta=\sqrt{2}-\sqrt{2}\sin^2\beta$

$\implies \sqrt{2}\sin^2\beta+\sin \beta- \sqrt{2}=0$

This is a quadratic equation in $\sin \beta$ .

By the quadratic formula, we have:

$\sin \beta=\frac{-1\pm \sqrt{1^2-4(\sqrt{2})(-\sqrt{2} ) } }{2\cdot \sqrt{2} }$

$\sin \beta=\frac{-1\pm \sqrt{1^2+4(2) } }{2\cdot \sqrt{2} }$

$\sin \beta=\frac{-1\pm \sqrt{9} }{2\cdot \sqrt{2} }$

$\sin \beta=\frac{-1\pm3}{2\cdot \sqrt{2} }$

$\sin \beta=\frac{2}{2\cdot \sqrt{2} }$ or $\sin \beta=\frac{-4}{2\cdot \sqrt{2} }$

$\sin \beta=\frac{1}{\sqrt{2} }$ or $\sin \beta=-\frac{2}{\sqrt{2} }$

$\sin \beta=\frac{\sqrt{2}}{2}$ or $\sin \beta=-\sqrt{2}$

When $\sin \beta=\frac{\sqrt{2}}{2}$ , $\beta=\sin ^{-1}(\frac{\sqrt{2} }{2} )$

$\implies \beta=45\degree\:\:or\:\:\beta=135\degree$ on the interval $0\le \beta \le360\degree$ .

When $\sin \beta=-\sqrt{2}$ , $\beta$ is not defined because $-1\le \sin \beta \le1$

4 0

3 years ago

HELP !!!!!!!!!! What percent and degrees of the pie have been eaten?

Fofino [41]

Answer:

About 1/5 or 20%

Step-by-step explanation:

If the pie is cut in slices equal to the one eaten, there will be 5. And since one is eaten there are 4/5 left, or 1/5 taken.

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3 years ago

How many minutes would you have to exercise each day to have a resting heart rate of 60 beats per minute?

Svetradugi [14.3K]

Answer:

i think 2-3 min.

Step-by-step explanation: i wish it's help u

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2 years ago

A number is multiplied by 4. That result is added to 12. The final number is 40 , what is the oringial number

algol [13]

Answer:

the original number is 7

Step-by-step explanation:

7•4 = 28

28+12=40

4 0

2 years ago

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In the diagram shown, m>1 = x + 16 and m<2 = 3x - 24 <br><br> Find the value of x

Oksanka [162]

X + 16 = 3x - 24
30 = 2x
x = 15

7 0

3 years ago

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