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lions [1.4K]
3 years ago
12

Find the area of the shaded region. Round to the nearest tenth if necessary.

Mathematics
1 answer:
Ket [755]3 years ago
7 0
Find the area of the large circle, and subtract the areas of the three smaller circles.

Large circle: diameter = 22 cm; radius = 11 cm

A = pi r^2 = pi * (11 cm)^2 = 121pi cm^2

Circle with 7 cm radius:

A = pi r^2 = pi * (7 cm)^2 = 49pi cm^2

Two small circles:
The largest circle has diameter = 22 cm.
The next larger circle has radius = 7 cm, so diameter = 14 cm
22 cm - 14 cm = 8 cm
The two smallest circles have a sum of diameters = 8 cm
Each smallest diameter = 4 cm, so each smallest radius = 2 cm
A = pi r^2 = pi * (2 cm)^2 = 4pi cm^2 (for each of the smallest circles)

Shaded area = 121pi cm^2 - 49pi cm^2 - 4pi cm^2 - 4 pi cm^2

Shaded area = 64pi cm^2 = 64 * 3.14159... cm^2 = 201.0619... cm^2

Answer: The shaded area is 201.1 cm^2
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Graham paid $87.45 for a pair of jeans. This amount included a tax of 40%. What was the cost of the jeans before tax?
kiruha [24]

The final price is the cost plus the tax.

Since we know the tax and a percent, we can write this as

T = C(1+r)

T = what Graham paid = $87.45

C = cost before tax

r = tax rate expressed as a decimal = .40

Plugging in what we know

87.45 = C (1+.4)

87.45 = C(1.4)

Divide both sides by 1.4

C = $62.46

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lisabon 2012 [21]

Answer:

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Step-by-step explanation:

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3 years ago
The redwood national park is home to some of the largest trees in the world. Hyperion is the tallest tree in the park, with a he
vladimir1956 [14]

Answer:

h= 126.33\ yd

Step-by-step explanation:

Let h be the height of the tree.

Given:

Height of the tree = 379 feet

We need to find the height of the tree in yards.

Solution:

From the given statement, Hyperion is the tallest tree in the park, with a height of approximately 379 feet,

We need to convert the height of the tree from feet to yard. So, We divide the height of the tree by three for yard.

For one feet

h = \frac{1}{3}\ yd

For 379 feet

h = \frac{379}{3}\ yd

h= 126.33\ yd

Therefore , height of the tree h= 126.33\ yd

3 0
3 years ago
PLZ HELP ME PLEASE!!!!... WILL GIVE BRAINLIEST. THANKYOU!
belka [17]

Answer:

1) 0.5

2)-2

3)-23

Step-by-step explanation:

1) -3×1=-3

-3+2.5= 0.5

2) -3×1.5=-4.5

-4.5+2.5= -2

3) -3×8.5=-25.5

-25.5+2.5=-23

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Micah needs $18,500 to purchase a boat. How much money will he need to invest today in a savings account earning 3.2% interest,
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We have that every quarter, he will get an 0.8% interest rate. We also have that there will be 14*4=56 periods of repayment. We have that by the formula, if there are n periods and x% is the interest rate, the capital is multiplied by (100+x%)^n.
Suppose Micah invests x money. Then, we have that after 14 years, the capital available will be C=x*(1.008)^{56}=x*1.562. We have that C=18500$ and hence that 18500=x*1.562. Thus, solving for x we have that x=11841$.
Micah will need to invest only 11841$ in order to pay for his boat; this shows the importance of saving since he earns a lot of money, around 7k $.
6 0
3 years ago
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