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Dafna1 [17]
3 years ago
8

Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).

Mathematics
1 answer:
Elan Coil [88]3 years ago
4 0

Answer:

(40/3)*pi

Step-by-step explanation:

lets first find the area of the little circle

A=pi*r^2

A=pi*3^2

A=9pi

Now, lets find the area of the big circle

A=pi*r^2

A=pi*(3+4)^2

A=pi*7^2

A=49pi

now lets subtract the area of the little circle from the area of the big circle

49pi-9pi=40pi, now we found the area of the "bagel)

lets find what portion of the bagel is the shaded region

120/360=1/3

now lets multiply the bagel area by the fraction

40pi*(1/3)=

(40/3)*pi   or  (40*pi)/3

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Write an equation of the line containing the point (3,5) and perpendicular to the line 4x-3y=5
ICE Princess25 [194]

Answer:

Step-by-step explanation:

In order to write the equation of the line perpendicular to the given line, we first have to know what the slope of the given line is, and there's no way to tell by looking at it in its current form, which is standard. We need to solve that equation for y to determine the slope of that line. Solving for y:

-3y=-4x+5 and

3y = 4x - 5 (just change all the signs so our y term isn't negative anymore...yes, you're "allowed" to do that!) and

y=\frac{4}{3}x-\frac{5}{3} So we can see now that the slope of this line is 4/3. That means that the perpendicular slope is -3/4. Passing through the given point (3, 5):

y-5=-\frac{3}{4}(x-3)* and

y-5=-\frac{3}{4}x+\frac{9}{4} and

y=-\frac{3}{4}x+\frac{9}{4}+\frac{20}{4} so

y=-\frac{3}{4}x+\frac{29}{4}** and, in standard form:

4y = -3x + 29 and

3x + 4y = 29***

* : point-slope form

** : slope-intercept form

*** : standard form

3 0
2 years ago
Which integers are greater than -3 and less than 0?
Anon25 [30]
Integers are whole numbers, both positive and negative. Therefore, all of the positive and negative whole numbers between these two numbers in a set will be your answer:

{-2, -1}

Hope this helped, and have a nice day!
3 0
3 years ago
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What can a doctor use to determine a patient's body fat percentage?
Reptile [31]

It is Bioelectrical impedance machine, these devices are used to measure the percentage of fat on your body so it is B

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3 years ago
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It is known that 11% of the seniors in a large high school enter military service upon graduation. If a group of 10 seniors are
GaryK [48]

Answer:

2.2%

Step-by-step explanation:

I don't know if this right but it would be 2/10 and multiply htat by 0.11 (representing the 11%) and you would get 0.022 or 2.2%

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3 years ago
What is the present value of a $1,600 payment made in five years when the discount rate is 10 percent?
Anvisha [2.4K]

Answer:

Present value is $993.47

Step-by-step explanation:

PV = present value

Fv = future value = $1,600

Discount (i) = 10%

N = Years = 5

The formula for this is given by:

PV = FV/(1 + i)^N

PV = $1600/(1 + 0.10)^5

PV = $1600/1.1^5

PV = $1600/1.61051

PV = $993.47

7 0
2 years ago
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