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3 years ago

A triangle is placed in a semicircle with a radius of 9 cm

1 answer:

4 0

Considering that the shaded area is the part of the semi circle outside the triangle:
Area of circle= Pi x radius2 (this means radius squared)
Area of triangle= 1/2 x base x height
1/2 (because it is a semi circle) x 3.14 (in replacement of pi as directed by question) x 9squared= 127.17

127.17 - (1/2 x 18 x 9) = 46.17cmsquared

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HELP!!! First gets Top Answer!!!

Marta_Voda [28]

It is approximately -.4048

H=10^(-pH)

log H = -pH

pH=-logH => so it is affirmed that it is -.40

4 0

4 years ago

Marcie bought a total of 20 used books and cds during a yard sale for a total of 54.50$. of books cost 1.50$ each and cds 5$ eac

melomori [17]

Let numbers of books be 'b' and numbers of CDs be 'c'

We can set up two equations:
Equation [1] ⇒ $b+c=20$
Equation [2] ⇒ $1.50b+5c=54.50$

We are solving for the number of books and the number of CDs bought

When we have two equations in terms of two different variables; $b$ and $c$ , that we need to solve, then this becomes a simultaneous equation problem.

First, rearrange Equation [1] to make either $b$ or $c$ the subject:
$b+c=20$
$b=20-c$

Then we substitute $b=20-c$ into Equation [2]
$1.50b+5c=54.50$
$1.50(20-c)+5c=54.50$
$30-1.50c+5c=54.50$
$5c-1.5c=54.50-30$
$3.5c=24.50$
$c=7$

Now we know the value of $c$ which is $c=7$ , substitute this value into $b=20-c$ we have $b=20-7=13$

Answer:
Numbers of books = 13
Numbers of CDs = 7

5 0

3 years ago

A recent tornado damaged Jack's house and left it a little distorted. A question on the insurance form asked, "What shape is the

Svetlanka [38]

Answer:

Step-by-step explanation:

2x+2x+2x+3x+3x=540(sum of angels in a five sided polygon)

12x=540

x=45

8 0

3 years ago

Find the value of x. Round your answer to the nearest tenth.

dsp73

Answer:

The value of x is 2

Step-by-step explanation:

<h3><u>Given</u>;</h3>

A right angled-triangle

The value of x

Now,

tan 27 = 1/x

0.5 = 1/x

x = 1/0.5

x = 2

Thus, The value of x is 2

<u>-TheUnknownScientist 72</u>

6 0

3 years ago

The number of violent crimes committed in a day possesses a distribution with a mean of 2.2 crimes per day and a standard deviat

VARVARA [1.3K]

Answer:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And replacing we got:

$\mu_{\bar X}= 2.2$

$\sigma_{\bar X}= \frac{6}{\sqrt{100}}= 0.6$

Step-by-step explanation:

For this case we have the following info given:

$\mu = 2.2$ represent the mean

$\sigma = 6$ represent the deviation

We select a sample size of n=100. This sample is >30 so then we can use the central limit theorem. And we want to find the distribution for the sample mean and we know that the distribution is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And replacing we got:

$\mu_{\bar X}= 2.2$

$\sigma_{\bar X}= \frac{6}{\sqrt{100}}= 0.6$

6 0

4 years ago