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3 years ago

How is the area of a semicircle found?

Mathematics

1 answer:

fenix001 [56]3 years ago

5 0

Answer:

(A) Take half the area of the whole circle.

Step-by-step explanation:

A semi-circle is half of a circle, thus the area of circle is given by:'

Area of circle= ${\pi}r^2$ , where r is the radius of the circle.

Since, A semi-circle is half of a circle, therefore area of the semi circle is also half of the circle, therefore

Area of semi circle= $\frac{{\pi}r^{2}}{2}$

Thus, the area of the semi circle can be found by taking half the area of the whole circle.

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On a school trip, 4 adults are required to supervise a

lara31 [8.8K]

Answer:

5 adults

Step-by-step explanation:

So 4 adults are taken for 32 children. We can use 32 divided by 4 to see how many children it takes to assign an adult. the answer to this would be 8. if 8 more children are added ( which would make 32+8 which is 40) than another adult would be needed.

8 0

2 years ago

Read 2 more answers

A recent taste test showed that 85% of people liked a new chicken sandwich recently added to a restaurant’s menu. The restaurant

Vesna [10]

Answer:

a) The margin of error = 0.11

b) The interval estimate = (0.74, 0.96)

c) Not valid because 68% = 0.68 is less than the values in the interval estimate

Step-by-step explanation:

The statistical data from the population and the simulation are;

The percentage of the people that liked the new chicken sandwich = 85% = The population proportion

The percentage the restaurant manager claims liked the new sandwich = 68%

The number of trials of the simulation = 100 trials

The sample size of each trial = 30

The point estimate of each trial = 0.85

The minimum sample proportion = 0.66

The maximum sample proportion = 0.88

a) The confidence interval = (0.66, 0.88)

By the half the range method, the margin of error is given by half the width of the confidence interval

∴ The margin of error, MOE = (0.88 - 0.66)/2 = 0.11

b) The interval estimate are the expected range of numbers for a parameters

The interval estimate = The point estimate ± MOE

∴ The interval estimate = 0.85 ± 0.11 = (0.74, 0.96)

Given that the manager's claim of 68% is not within the interval estimate, the manager's claim is not valid based on the expected values for the people that liked the new sandwich found with the point estimate and the margin of error

3 0

3 years ago

Think y=mx+b

ICE Princess25 [194]

Answer:

Step-by-step explanation:

3x%2B4y=12 Start with the given equation

4y=12-3x Subtract 3+x from both sides

4y=-3x%2B12 Rearrange the equation

y=%28-3x%2B12%29%2F%284%29 Divide both sides by 4

y=%28-3%2F4%29x%2B%2812%29%2F%284%29 Break up the fraction

y=%28-3%2F4%29x%2B3 Reduce

Looking at y=-%283%2F4%29x%2B3 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=-3%2F4 and the y-intercept is b=3

Since b=3 this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis

So we have one point

Now since the slope is comprised of the "rise" over the "run" this means

slope=rise%2Frun

Also, because the slope is -3%2F4, this means:

rise%2Frun=-3%2F4

which shows us that the rise is -3 and the run is 4. This means that to go from point to point, we can go down 3 and over 4

So starting at , go down 3 units

and to the right 4 units to get to the next point

Now draw a line through these points to graph y=-%283%2F4%29x%2B3

So this is the graph of y=-%283%2F4%29x%2B3 through the points and

3 0

3 years ago

Engineers want to design seats in commercial aircraft so that they are wide enough to fit 99% of all males. (accommodating 100

Helga [31]

Hip Breadths and Aircraft Seats
Engineers want to design seats in commercial aircraft so that they are wide enough to fit 98% of all males. (Accommodating 100% of males would be too expensive.) Men have hip breadths that are normally distributed with a mean of 14.4 in. and a standard deviation of 1.0 in. Find P 98. That is, find the hip breadth for men that separates the smallest 98% from the largest 2%.

7 0

3 years ago

Find the length of base PQ in the trapezoid.

iris [78.8K]

Answer:

PQ = 20

Step-by-step explanation:

Theorem: The length of the median of a trapezoid is the average of the base lengths.

$\frac{PQ + 12}{2} = 16$

PQ + 12 = 32

PQ = 20

See how easy that is if you know the theorem!

5 0

3 years ago