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3 years ago

What is the sector with a central angle of 185 degrees and a diameter of 6.4 m? Round to the nearest tenth.

2 answers:

6 0

The area of a sector is
$A=\frac{1}{2}r^2\theta =\frac{1}{2}\left(3.2\:m\right)^2\left(185\cdot \frac{\pi }{180}\right)=16.5\:m^2$

The answer is 16.5 square meters.

Greeley [361]3 years ago

5 0

Geometry B Unit 5: Area - Lesson 10: Area Unit Test

1. What is the area of the trapezoid? The diagram is not drawn to scale.

72 cm^2

2. Given the regular polygon, what is the measure of each numbered angle?

m∡1 = 36°; m∡2 = 72°

3. What are a) the ratio of the perimeters and b) the ratio of the areas of the larger figure to the smaller figure? The figures are not drawn to scale.

5/2 and 25/4

4. What is the area of a regular pentagon with a side of 12 in.? Round the answer to the nearest tenth.

247.7 in.2

5. Name the minor arc and find its measure.

AB; 162°

6. What is the circumference of the given circle in terms of pi_symbol?

28pi in.

7. What is the area of the given circle in terms of pi?

10.89pi m^2

8. What is the area of a sector with a central angle of 185° and a diameter of 6.4 m? Round the answer to the nearest tenth.

16.5 m^2

9. What is the area of the shaded region in the given circle in terms of pi_symbol and in simplest form?

(270 pi + 81 Root 3) m^2

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Calculate the new balance of an account that has been sitting for three years with a 1.5% interest rate and had an initial depos

maksim [4K]

Answer:

$5225

Step-by-step explanation:

Use the formula for the amount after simple interest: $A = P(1 + rt)$

"A" is the final amount, or balance.

"P" is the principal, or the starting amount.

"r" is the rate of interest in decimal form.

"t" is the time.

What we know:

P = 5000

t = 3

r = 1.5%

Convert the rate to decimal form by dividing by 100, or moving the decimal place two places to the left.

1.5% => 0.015 = r

Substitute what we know into the formula:

A = P(1 + rt)

A = 5000(1 + (0.015)(3)) <=simplify

A = 5000(1 + 0.045)

A = 5000(1.045)

A = 5225 <= new balance

The new balance of an account is $5225.

4 0

3 years ago

45 is 90% of what number

choli [55]

45 = 90% * x
45 = .90x
45/.90 = x

x = 50

45 is 90% of 50

8 0

3 years ago

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The scale of a model train is 1 inch to 13.5 ft. One of the cars of the model train is 5inches long. What is the length in feet

aleksklad [387]

Answer:

The length of the actual train's car is 67.5 feet.

Step-by-step explanation:

Given:

The scale of a model train is 1 inch to 13.5 ft.

Now, to get the length of the actual car of the train.

Let the length of actual train's car be $x.$

And, the length of the car of model train = $5\ inches\ long.$

According to the scale of the model train, 1 inch is equivalent to 13.5 ft.

Thus, 5 inches is equivalent to $x.$

Now, to get the length of actual train's car using cross multiplication method:

$\frac{1}{13.5} =\frac{5}{x}$

By cross multiplying we get:

$x=67.5\ feet.$

Therefore, the length of the actual train's car is 67.5 feet.

7 0

3 years ago

Chin Woo bought a home for $160,000. He put down 20%. The mortgage is a 8 1/2% for 25 years. His yearly payments are?

PolarNik [594]

Amount of the mortgage after down payment is
160,000−160,000×0.2=128,000

Now use the formula of the present value of annuity ordinary to find the yearly payment
The formula is
Pv=pmt [(1-(1+r)^(-n))÷r]
Pv present value 128000
PMT yearly payment?
R interest rate 0.085
N time 25 years
Solve the formula for PMT
PMT=pv÷[(1-(1+r)^(-n))÷r]
PMT= 128,000÷((1−(1+0.085)^(
−25))÷(0.085))
=12,507.10 ....answer

6 0

2 years ago

1/2x+3=-1 HELP ASAP!!

fenix001 [56]

Step-by-step explanation:

$\frac{1}{2} x + 3 = - 1 \\ \frac{x}{3} + 3 = - 1 \\ \frac{x}{3} = - 1 - 3 \\ \frac{x}{3} = - 4 \\ x = - 4 \times 3 \\ x = - 12$

4 0

2 years ago

Read 2 more answers