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Triss [41]
3 years ago
13

Find the perimeter of the quarter-circle. Give your answer to the nearest whole number.

Mathematics
2 answers:
Nikitich [7]3 years ago
8 0
Yes correct yay ! :)
Bezzdna [24]3 years ago
6 0

Answer:

The perimeter of the quarter-circle is 200 cm.

Step-by-step explanation:

Given that the angle of quarter-circle is 90°. So using Length of Arc formula, you are able to find the length of curve :

arc =  \frac{θ}{360}  \times 2 \: \pi \: r

Let r be radius = 56 cm,

Let θ = 90°

arc =  \frac{90}{360}  \times 2 \times\pi \times 56

=  \frac{1}{4}  \times 2 \times \pi \times 56

=  \frac{1}{2}  \times \pi \times 56

= 28\pi \: cm

We have already found the arc. Next we have to add up together to find the perimeter :

p = 56 + 56 + 28\pi

p = 112 + 28\pi

p = 200 \: cm \: (3s.f)

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A rectangular prism is 3 units high 2 units wide and 5 units long what is its surface area in square units
Luba_88 [7]

Answer:

62 square units

Step-by-step explanation:

The area of a rectangular prism is the sum of the areas of its six faces. Opposite faces have the same area, so it is the sum of 3 pairs of faces. The area of one face of each pair is the product of the dimensions of that face. Those three areas are ...

• L·W

• W·H

• H·L

so the total surface area is ...

A = 2(LW +WH +HL)

For hand calculation, this can be simplified a bit to ...

A = 2(LW +H(L+W)) . . . . . requires one less multiplication

For your prism, the area is ...

A = 2(5·2 + 3(5+2)) = 2(10 +21) = 62 . . . square units

6 0
3 years ago
PLEASE ANSWER ASAP WITH WORK FOR BRAINLEST!!!!!!!!!!!!!!!!1
xz_007 [3.2K]

Answer:

they need to wash 39 cars

Step-by-step explanation:

600-61=539

539/14=38.5

round to 39

4 0
3 years ago
PLZ HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Andreyy89

Answer:

Step-by-step explanation:

9 * 9 * h = 1620. Isolate the variable. h = 20. The equation would be 9*9*20 or 9^2*20.

5 0
3 years ago
Read 2 more answers
Suppose the number of inches of rainfall each year in a city is normally distributed. For a random sample of years, the confiden
quester [9]

Answer:

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

Or equivalently:

\bar X \pm ME

For this case we have the interval given (3.9, 7.7) and we want to find the margin of error. Using the property of symmetry for a confidence interval we can estimate the margin of error with this formula:

ME= \frac{Upper -Lower}{2}= \frac{7.7-3.9}{2}= 1.9

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

Or equivalently:

\bar X \pm ME

For this case we have the interval given (3.9, 7.7) and we want to find the margin of error. Using the property of symmetry for a confidence interval we can estimate the margin of error with this formula:

ME= \frac{Upper -Lower}{2}= \frac{7.7-3.9}{2}= 1.9

4 0
3 years ago
What is the volume of this box?
astra-53 [7]
The awnser is 2.3997
6 0
3 years ago
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