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3 years ago

I got 57.12, but it’s not an answer...I am confusion

Mathematics

1 answer:

Setler [38]3 years ago

4 0

Check the picture below.

$\bf \stackrel{\textit{area of the semicircle}}{\frac{\pi r^2}{2}}~~~~+~~~~\stackrel{\textit{area of the triangle}}{\frac{1}{2}bh}
\\\\\\
\stackrel{\textit{area of the semicircle}}{\frac{\pi 4^2}{2}}~~~~+~~~~\stackrel{\textit{area of the triangle}}{\frac{1}{2}(12)(8)}
\\\\\\
8\pi +48\qquad \approx\qquad 73.1327412287$

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Nine yards of ribbon are cut into 8 equal pieces what is the length of each piece of ribbon. Write a division expression to repr

PSYCHO15rus [73]

Answer:

$x=\frac{9}{8}\ yards$

$x=1.125\ yards$

Step-by-step explanation:

Let's call x the length of each piece in yards

If the ribbon is cut into 8 equal pieces then the sum of the pieces is:

$x+x+x+x+x+x+x+x=8x$

Then:

$8x=9\ yards$

Now we solve the equation for x

$8x=9\ yards$

Divide both sides of equality by 8

$\frac{8}{8}x=\frac{9}{8}\ yards$

$x=\frac{9}{8}\ yards$

So the length of each piece is $\frac{9}{8}$ of a yard.

This is: 1.125 yards

6 0

3 years ago

When placing a polygon on a coordinate plane for a coordinate proof a vertex at the origin is NOT a good location for the figure

irina1246 [14]

I do not understand the question please clarify. Thank you.

8 0

3 years ago

Use the formula for the cosine of the difference of two angles to find the exact value of the following expression.

Zolol [24]

Answer:

Exact value of Cos(45° - 60°) is 0.96 using difference of two angles.

Step-by-step explanation:

Given:

Cos(45° - 60°)

We have to apply the formula of cosine for difference of the two angles.

Formula:

$cos(a-b)=cos(a)\ cos(b)+sin(a)\ sin(b)$

Plugging the values.

⇒ $cos(45-60)=cos(45)\ cos(60) + sin(45)\ sin(60)$

We know that the values :

$sin(45) =cos(45) = \frac{1}{\sqrt{2} }$

$sin(60)=\frac{\sqrt{3} }{2}$ and $cos(60)=\frac{1}{2}$

So,

⇒ $cos(45-60)=(\frac{1}{\sqrt{2} } \times \frac{1}{2} ) + (\frac{1}{\sqrt{2} } \times \frac{\sqrt{3} }{2})$

⇒ $cos(45-60)=(\frac{1}{2\sqrt{2} } + \frac{\sqrt{3} }{2\sqrt{2} })$

⇒ $cos(45-60)=(\frac{1+\sqrt{3} }{2\sqrt{2} } )$

⇒ $cos(45-60)=(\frac{1+\sqrt{3} }{2\sqrt{2} } )\times \frac{2\sqrt{2} }{2\sqrt{2} }$ ...rationalizing

⇒ $cos(45-60)=\frac{2\sqrt{2} +2\sqrt{6} }{ 8}$

⇒ $cos(45-60)=\frac{2(\sqrt{2}+\sqrt{6})}{8}$ ...taking 2 as a common factor

⇒ $cos(45-60)=\frac{(\sqrt{2}+\sqrt{6})}{4}$

To find the exact values we have to put the values of sq-rt .

As, $\sqrt{2}=1.41$ and $\sqrt{6} =2.44$

Then

⇒ $cos(45-60)=\frac{( 1.41+2.44)}{4}$

⇒ $cos(45-60)=\frac{( 3.85)}{4}$

⇒ $cos(45-60)=0.96$

So the exact value of Cos(45° - 60°) is 0.96 using difference of two angles.

3 0

3 years ago

......................................pic below.............................. subject is math

sdas [7]

Answer:

wow nice

Step-by-step explanation:

7 0

3 years ago

What measure in linear-regression analysis provides the percent of variation in the dependent variable (y) that is explained by

Nadya [2.5K]

The measure in linear-regression analysis that provides the percent of variation in the dependent variable as explained by the regression equation is the Coefficient of Determination.

<h3>What is the Coefficient of Determination?</h3>

This is a measure that allows us to see just how much the variation in the dependent variable, is as a result of the independent variable and is therefore explained by the regression equation.

The Coefficient of Variation is very important because it helps to show the usefulness and accuracy of the regression equation model.

Find out more on the coefficient of variation at brainly.com/question/19616808

#SPJ1

3 0

1 year ago