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2 years ago

Find the area of the circle. Round your answer to the nearest hundredth. the radius is 12

Mathematics

2 answers:

Alchen [17]2 years ago

8 0

Answer:

452.39 units^2

Step-by-step explanation:

formula: $\pi r^{2}$

anastassius [24]2 years ago

7 0

12pi^2 = 118.43
is the answer

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A political action committee is interested in finding out what proportion of voters will

balandron [24]

Answer:

$n=\frac{0.93(1-0.93)}{(\frac{0.09}{1.96})^2}=30.875$

And rounded up we have that n=31

Step-by-step explanation:

First we need to find the critical value for the margin of error desired. The confidence level is 0.95 so then the significance is $\alpha=1-0.95=0.05$ and the critical value for this case would be:

$z_{\alpha/2} =\pm 1.96$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.09$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

The estimated proportion for this case is $\hat p =0.93$ . And replacing into equation (b) the values from part a we got:

$n=\frac{0.93(1-0.93)}{(\frac{0.09}{1.96})^2}=30.875$

And rounded up we have that n=31

4 0

2 years ago

the total cost of 4 pens at rs 20 each,5 pencils at Rs 5 each and 2 boxes at rs 60 each.make equation and solve (INTEGERS) plsss

Julli [10]

Answer:

225 rs

Step-by-step explanation:

cost of 1 pen = 20 rs

total cost of 4 pens = 20×4= 80 rs

cost of 1 pencil = 5 rs

total cost of 5 pencils = 5×5 = 25 rs

cost of 1 box = 60 rs

total cost of 2 boxes = 60×2 = 120 rs

Total= 80+25+120 = 225 rs

4 0

2 years ago

a rectangle has an area of 54 square inches the width of the rectangle is 9 inches what is the langth

STatiana [176]

Answer:

As per Provided Information

Area of rectangle is 54 square inches
Width of the rectangle is 9 inches.

We have to calculate the length of rectangle .

As we know the formula to find the Area of rectangle .

$\boxed{\bf \: Area_{(Rectangle)} = length \: \times width}$

On substituting the value we obtain

$\sf \qquad \: \longrightarrow 54 = length \times 9 \\ \\ \\ \sf \qquad \: \longrightarrow \cfrac{54}{9} = length \\ \\ \\ \sf \qquad \: \longrightarrow \: length \: = \cfrac{54}{9} \\ \\ \\ \sf \qquad \: \longrightarrow \: length \: = \cancel \cfrac{54}{9} \\ \\ \\ \sf \qquad \: \longrightarrow \: length \: = 6 \: inches$

Therefore,

Length of the rectangle is 6 inches .

8 0

1 year ago

Substitute t=3 and t=5 to determine if the two expressions are equivalent.

motikmotik

Answer:

because both sides are equal when substituted by 3 & 5

4 0

2 years ago

A triangle has a 60° angle, and the two adjacent sides are 12 and "12 times the square root of 3". Find the radius of a circle w

shusha [124]

The radius of a circle with the same vertex as a center is 12 units

<h3>Application of Pythagoras theorem;</h3>

To get the radius of the circle, we need to determine the diameter of the circle first:

According to SOH CAH TOA:

$sin\theta = \frac{opp}{hyp} \\sin60 = \frac{12\sqrt{3}}{hyp} \\hyp =\frac{12\sqrt{3}}{sin60} \\hyp =\frac{2\times12\sqrt{3}}{\sqrt3}} \\hyp = 24 = diameter$

Determine the radius of the circle

Radius = dismeter/2

Radius = 24/2

Radius = 12

Hence the radius of a circle with the same vertex as a center is 12 units

Learn more on radius of a circle here: brainly.com/question/24375372

5 0

1 year ago