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Advocard [28]
3 years ago
12

The area of shaded region.

Mathematics
2 answers:
REY [17]3 years ago
8 0

Answer:

160π cm^2

Step-by-step explanation:

Looks like the radius of the shaded area is (10 cm + 3 cm), or 13 cm, and that the radius of the white region is 3 m.

Thus, the area of the shaded region is:

π(169 - 9) cm^2, or 160π cm^2.

Korvikt [17]3 years ago
5 0

Answer:

160π cm²

Step-by-step explanation:

The area of the shaded region is

area of outer circle - area of inner circle

A = πr₁² - πr₂²

r₁ is the radius of the outer circle = 10 + 3 = 13 cm

r₂ is the radius of the inner circle = 3 cm

A = π × 13² - π × 3²

  = π(169 - 9) = 160π cm² ≈ 502.65 cm² ( to 2 dec. places )

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What is the answer for number 2? Plz help
g100num [7]
Hello! So, the sum of the angles of a triangle is 180 degrees. There’s already an angle that is 60 degrees. So, there are 120 degrees left to be found. You set this formula up as 3y = 120. Divide each side by 3 to isolate the y. When you solve that, you should get y = 40.
2y = 80 degrees
y = 40 degrees
5 0
3 years ago
I need the equation of the line in the graph
sattari [20]
First of all, we know that it's a linear equation, which means it'll have to be y=mx+b.

Identify your points.
(0, 0) and (5, 4).

Now find the slope by doing 
m = (y₂ - y₁)/(x₂ - x₁)
m = (4 - 0)/(5 - 0)
m = 4/5
So the slope is 4/5 or 0.8.

Now set the equation up. You have a point and the slope, so use the point-slope equation.
y - y₁ = m(x - x₁)
y - 4 = 4/5(x - 5)
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8 0
3 years ago
A dog weighs two pounds less than three times the weight of a cat. The dog also weights twenty-two more pounds than the cat. Wri
8090 [49]

Answer:

Weight of dog: 34 pounds,

Weight of cat: 12 pounds.

Step-by-step explanation:

Let d represent weight of dog and c represent weight of cat.

We have been given that a dog weighs two pounds less than three times the weight of a cat.

3 times weight of cat: 3c

We can represent the given information in an equation as:

d=3c-2...(1)

We are also told that the dog also weights twenty-two more pounds than the cat. We can represent the given information in an equation as:

d=c+22...(2)

Equate both equations:

3c-2=c+22

3c-c-2=c-c+22

2c-2=22

2c-2+2=22+2

2c=24

\frac{2c}{2}=\frac{24}{2}

c=12

Therefore, the weight of cat is 12 pounds.

Substitute c=12 in equation (2)

d=c+22

d=12+22

d=34

Therefore, the weight of dog is 34 pounds.

4 0
4 years ago
Jackson deposited $5000 at 3.8% interest compound continuously when he was 18 years old. How much will be in the account when he
weeeeeb [17]

Answer:

$11535.60

Step-by-step explanation:

We have been given that Jackson deposited $5000 at 3.8% interest compound continuously when he was 18 years old.

To find the amount that Jackson will earn when he is 40 years old, we will use compound interest formula.

A=P\cdot e^{rT}

A= Amount after T years.

P= Principal amount.

e= Mathematical constant e.

r= Interest rate (in decimal form).

T=  Time in years.

Let us convert our given interest rate into decimal form.

3.8\text{ percent}=\frac{3.8}{100}=0.038

Upon substituting our given values in above formula we will get,

A=5000\cdot e^{(0.038\times (40-18))}    

A=5000\cdot e^{(0.038\times 22)}

A=5000\cdot e^{0.836}

A=5000\cdot 2.307120015126555      

A=11535.600075632775\approx 11535.60

Therefore, Jackson will have $11535.60 in his account when he is 40 years old.

4 0
3 years ago
100 POINTS. EXPLAIN YOUR ANSWER.
Serggg [28]

Answer:

I believe that if the power went off you wouldnd see at all.

Step-by-step explanation:

Mirrors bend light to show the images of yourself and others that you see. not sure if im right but... hope it helps.

4 0
3 years ago
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