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3 years ago

Calculate the area of the shaded region

Mathematics

1 answer:

velikii [3]3 years ago

4 0

Answer:

48π or 150.72

Step-by-step explanation:

The radius of the big circle is 8.

We can use that to find the area of the big circle.

Area is πr^2

π(8)^2

64π

Now, we can find the area of the small circle.

The diameter of that is 8, meaning the radius is 4.

πr^2

π(4)^2

16π

Now we subtract the area of the small circle from the area of the big circle to get the area of the shaded region.

64π-16π=48π

As a decimal: 48*3.14=150.72

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Expand And Simplify The Following:

Georgia [21]

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$(x^2-3x+3x-9)(3x+2)$
$(x^2-9)(3x+2)$
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2. $(2x+1)(x-2)(x+3)$
$(2x^2-4x+x-2)(x+3)$
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3. $(x-3)(2x+1)(3x-2)$
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Hope this helped!

8 0

3 years ago

Read 2 more answers

Find the least squares regression equation using the school year (in number of years after 2000) for the input variable and the

Ad libitum [116K]

Answer-

The least squares regression equation using the school year (in number of years after 2000) for the input variable and the average cost (in thousands of dollars) for the output variable is "y=0.937x+12.765" .

Solution-

The independent variable / input variable= x = Number of years after 2000 ( = year-2000)

The dependent variable / output variable = y = Average cost in thousands of dollars

(The table has been attached herewith.)

To find the regression equation for a group of (x,y) points,

We have to calculate the slope and y-intercept, then we can put those values in the equation y = mx + c ( Slope - Intercept formula)

We know that,

$Slope=m=\frac{N\sum xy -\sum x\sum y}{N\sum x^{2}- (\sum x)^{2}}$

Putting the values from the table,

$m=\frac{(8 \times 1020.206)-(52 \times 150.894)}{(8 \times 3810)-(52^2)}$

( ∵ Instead of 150,894 we have to put 150.894 as we have find the line for year and thousands of dollars )

$\Rightarrow m =\frac{8161.648-7846.488}{3040-2704} =\frac{315.16}{336}=0.937$

Now, for the y-intercept,

$c =\frac{\sum y -m(\sum x)}{N}$

Putting the values,

$c=\frac{150.894-(52 \times 0.937)}{8}=\frac{102.125}{8}=12.765$

Now, putting the values of c and m, in the Slope-Intercept formula,

$y=0.937x+12.765$

3 0

3 years ago

The formula can be used to work outthe cost, in riyals, of hiring a helmet inQatar for a number of days.Kasun wants to hire a bi

Margaret [11]

Answer:

The answer is below

Step-by-step explanation:

a) Cost of hiring the bicycle for 14 days is:

Cost = 65 * 14 days + 44 = 954 riyals

b) The number of days the bicycle is hired is to be the same as the number of days the bicycle is to be hired. Let us assume that the bicycle and helmet is to be hired for x days, hence:

Cost of bicycle = 65 * x + 14 = 65x + 44

Cost of helmet = 12.5 * x = 12.5x

Total cost = 65x + 44 + 12.5x = 77.5x + 44

Since 750 riyals is available, hence:

750 = 77.5x + 44

77.5x = 706

x = 9.11

Therefore the maximum number of days is 11. The total cost for 11 days is:

Total cost = 77.5(9) + 44 = 741.5 riyals

Money not spent = 750 riyals - 741.5 riyals = 8.5 riyals

6 0

3 years ago

The area of a rectangular dining room is 16 square meters. The perimeter is 16 meters. What are the dimensions of the dining roo

neonofarm [45]

Answer:

Step-by-step explanation:

The area is 16, and you know that it's 2 sides u need to multiply

The perimeter is 16, and you know that you need to add up all the sides

So....

A = b * h

A = 4 * 4

A = 16 CORRECT

And....

P = S + S + S + S ( s = sides)

P = 4 + 4 + 4 + 4

P = 16 CORRECT

Hope this helped!

Have a supercalifragilisticexpialidocious day!

6 0

3 years ago

Bruno bought 96 pounds of sugar for his bakery. Every day he used the same amount of sugar to make bakery items. After 10 days,

Tasya [4]

Bruno used 8.08 pounds of sugar each day, because if you multiply 8.08 times ten it gives you 80.8 and 96 - 80.8 = 15.2

7 0

3 years ago