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Whitepunk [10]
3 years ago
15

The area of sector AOB is 20.25 pi ft ^2 . Find the exact area of the shaded region.

Mathematics
1 answer:
pishuonlain [190]3 years ago
4 0

Remark

If you have the area of the sector, then what you need is the area of the triangle in order to find the area of the shaded area. Just subtract the two.

Area of the triangle

The right angle makes finding the base and height very easy since they are equal

Area_Triangle = 1/2 * b * h

b = 9

h = 9

Area = 1/2 * 9 * 9

Area = 1/2 * 81

Area = 40.5

Area of the Shaded Area

Area_shaded = area of the sector - area of the triangle.

Area_shaded = 20.25 * pi - 40.5

Area_shaded = 20.25(pi - 2) <<<< Answer

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Which expression represents the ratio of the difference of the two means to Sidney's mean absolute deviation
prohojiy [21]

Answer:

The ratio of the difference of the two means to Sidney's mean absolute deviation = \frac{4}{3.28} = 1.2195

Step-by-step explanation:

P.S - The exact question is -

Given - The means and mean absolute deviations of Sidney’s and Phil’s grades are shown in the table below.

                                       Sidney’s Grades           Phil’s Grades

Mean                                     82                                    78

Mean Absolute Deviation      3.28                                 3.96

To find - Which expression represents the ratio of the difference of the two means to Sidney’s mean absolute deviation?

Proof -

Given that Mean of Sidney Grades = 82

                 Mean of Phil's   Grades = 78

So,

The difference of two means = 82 - 78 = 4

Also,

Given, Mean Absolute Deviation of Sydney = 3.28

Now,

The ratio of the difference of the two means to Sidney's mean absolute deviation = \frac{4}{3.28} = 1.2195

4 0
3 years ago
Which multiplication equation represents the question: how many 3/8s are in 5/4?
Harman [31]

Answer:

The equation which represents the question is 3 1/3

8 0
2 years ago
A shade of green paint is made by mixing blue paint and yellow paint in the ratio of 4 to 3. How many pints of blue paint and ye
nexus9112 [7]

Answer:

Blue = 12

Yellow = 9

Step-by-step explanation:

Given

Blue : Yellow = 4 : 3

Required

Determine the number of pints of each to make 21 of green paints

First, calculate the total ratio.

Total = 4 + 3

Total = 7

The blue and the yellow pint can be represented individually as:

Blue = \frac{4}{7} * Green

Yellow = \frac{3}{7} * Green

Number of blue paint calculated last week is:

Blue = \frac{4}{7} * 21

Blue = {4} * 3

Blue = 12

Yellow = \frac{3}{7} * Green

Yellow = \frac{3}{7} * 21

Yellow = {3} * 3

Yellow = 9

8 0
3 years ago
DEF is a dilation image of ABC. What is the scale factor?
horsena [70]

Answer:

Option (2)

Step-by-step explanation:

ΔDEF is a dilation image of ΔABC.

Rule for the dilation,

Scale factor = \frac{\text{Length of one side of the image triangle}}{\text{Length of one side of the original triangle}}

                    = \frac{DE}{AB}

                    = \frac{4}{8}

                    = \frac{1}{2}

Therefore, scale factor by which ΔABC is dilated is \frac{1}{2}.

Option (2) will be the correct option.

7 0
2 years ago
Julius is buying beverages for brunch. He needs to buy a total of 5
xeze [42]
Well, he only needs 5 gallons of beverages. Because he buys two containers of each, however, that means he bought 320 gallons total (I would say). How I got my answer:

There are 8 pints in a gallon (8 x 2)
There are 4 quarts in a gallon (4 x 2)
There are 16 cups in a gallon (16 x 2)
There are 128 ounces in a gallon (128 x 2)

With that being said, we can add these to find the total amount of gallons of beverages Julius bought. 16 + 8 + 8 + 32 + 256 = 320.

Hopefully this helps!
7 0
2 years ago
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