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Citrus2011 [14]

3 years ago

15

Find the area of the shaded region. Round to the nearest hundredth when necessary.

1 answer:

dusya [7]3 years ago

3 0

Answer: 423.11 m^2

Step by step explanation:

Area of a circle formula pi*r^2

First solve the area of the big circle

3.14*21^2=1384.74 m^2

Now find the are of the smaller circle

r=21-3.5=17.5
3.14*(17.5)^2=961.63 m^2

Now we can minus the small area off the big area to get the shaded area.

1384.74-961.63=423.11 m^2

So the area of the shaded region is 423.11 m^2

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Kelly leaves her home and cycles 4y miles south then cycles (3y + 9) miles east

atroni [7]

4y(3y + 9)
12y + 36
36 ÷ 12=x=3

7 0

3 years ago

The theoretical probability of spinning an even number on a spinner is 23. The spinner has 8 even-numbered sections. How many se

meriva

Answer:

there are 12 sections

here is how to do it:

2 8

_ = _

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so you cross multiply

8 x 3 = 2x

24=2x

12=x

Step-by-step explanation:

6 0

3 years ago

A central angle θ in a circle of radius 4 m is subtended by an arc of length 5 m. find the measure of θ in degrees. (round your

koban [17]

Answer:

$\theta=71.6\°$

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference is equal to

$C=2\pi r$

we have

$r=4\ m$

substitute the values

$C=2\pi (4)=8 \pi\ m$

step 2

Remember that

360 degrees subtends the arc of length $8 \pi\ m$ (circumference)

so

by proportion

Find the measure of θ by an arc of length 5 m

assume $\pi=3.1416$

$\frac{360}{8\pi}=\frac{\theta}{5}\\ \\ \theta=360*5/8\pi \\ \\ \theta=71.6\°$

5 0

3 years ago

in a box of chocolates, 1/5 of the chocolates contain nuts. the rest of the chocolates do not contain nuts. write down the ratio

valina [46]

Answer:

The ratio of the number of chocolates that contain nuts to the number of chocolates = 1:4

Step-by-step explanation:

The parameters given are;

Proportion of the box of chocolates that contain nuts = 1/5

Proportion of the box of chocolates that do not contain nuts = 1 - 1/5 = 4/5

Therefore, we have in a box of chocolates with five chocolates;

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Which gives the ratio of the number of chocolates that contain nuts to the number of chocolates as 1:4.

4 0

3 years ago

Evaluate the expression when x = 9.<br>x + 5(x + 2)

jasenka [17]

Answer:

64

Step-by-step explanation:

x + 5(x + 2)

Distribute

x + 5x+10

Combine like terms

6x+10

Let x = 9

6(9) +10

54+10

64

8 0

3 years ago

Read 2 more answers