1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
timama [110]
3 years ago
15

What is the area of a sector with a central angle of \frac{5 \pi }{6} radians and a diameter of 5.6 in.? Use 3.14 for π and roun

d your final answer to the nearest hundredth. Enter your answer as a decimal
Mathematics
1 answer:
kvasek [131]3 years ago
7 0

Answer:

10.26 in²

Step-by-step explanation:

The area (A) of the sector is

A = area of circle × fraction of circle

  = πr² × \frac{\frac{5\pi }{6} }{2\pi }

  = π × 2.8² × \frac{5}{12} ≈ 10.26 in²

You might be interested in
7 movie tickets cost $25.00
horsena [70]

Answer:

3 remaining of 4

Step-by-step explanation:

25÷7=3remainder of 4

3 0
3 years ago
Please help asap! if you could also explain how you did it so I can answer the other questions by myself
Usimov [2.4K]

Answer:

Step-by-step explanation:

true

8 0
3 years ago
The diameter of a cylindrical construction pipe is 6 ft. If the pipe is 26 ft long, what is its volume?
Mandarinka [93]

Answer:

Step-by-step explanation:

First find the area of the circular base. The diameter is 6, so the radius is 3.

A circle is pi r square, so it is 3.14 x 3^2, = 28.26

Multiply that by the length 28.26 x 26 = 734.76, which rounds to 735 cubic feet.

5 0
3 years ago
How many ml of a 20% acid mixture and a 80% acid mixture should be mixed to get 120ml of a 35% acid mixture?
shutvik [7]

Answer:

Volume of Mixture A =90 ml

Volume of Mixture B =30 ml

Step-by-step explanation:

Let say, Mixture A + Mixture B = Mixture C

Volume of Mixture A is x

Volume of Mixture B is y

So, Volume of Mixture C is x+y = 120 ml

Now, Acid contain in Mixture A is 20% =0.2x

Acid contain in Mixture B is 80% =0.8y

Also, Acid contain in Mixture C is 35% =(0.35)(x+y) = 0.35×120=42

Now, we know that,

Acid contain of Mixture A + Acid contain of Mixture B=Acid contain of Mixture C

∴ 0.2x+0.8y=42

∴ 2x+8y=420

We get two linear equations

2x+8y=420 and x+y = 120

Solving above equation...

∴ x=120-y

Replacing x value in 2x+8y=420

∴ 2(120-y)+8y=420

∴ 240-2y+8y=420

∴ 6y=180

∴ y=30

Replacing y value in any equation

∴ x=120-y=120-30=90

∴ x=90

Thus,

Volume of Mixture A is x=90 ml

Volume of Mixture B is y=30 ml

3 0
3 years ago
Tammy deposited $520 in the bank account that earns simple interest every year after 5 years she had earned $156 and interest if
aleksley [76]

Answer:

6%.

Step-by-step explanation:

We have been given that Tammy deposited $520 in the bank account that earns simple interest every year after 5 years she had earned $156.

To find the interest rate we will use simple interest formula.

I=P*r*T

I= Interest.

P= Principal amount.

r=Annual interest rate (in decimal form).

T= Time in years.

We have been given that I=156, T=5, P=520

Upon substituting our values in above formula we will get,

156=520*r*5

156=2600r

r=\frac{156}{2600}

r=0.06

Let us multiply 0.06 by 100 to convert annual interest rate in percentage.

0.06*100=6 \text{ percent}

Therefore, the annual interest rate was 6%.

6 0
3 years ago
Other questions:
  • I need help since I don't understand this well.
    10·2 answers
  • Find the equation of the line parallel to y = 2x + 8 and passes through (4, - 6)
    14·1 answer
  • Which congruence theorem can be used to prove △ABR ≅ △RCA? HL SSS ASA SAS
    14·2 answers
  • Solve the following linear inequality: <br><br>3(x + 4) ≥ 5x – 123
    13·2 answers
  • Find the average rate of change from x = 3 to x = 15 for the function f(x) = 0.01(2)x and select the correct answer below.
    8·2 answers
  • Please help
    6·1 answer
  • After 2 week he has used 8 1/2 cups of dog food after 5 week he has used 21 1/4 cups construct a function in the form y =mx+ to
    9·1 answer
  • |x-3| &lt; 5 please help
    14·1 answer
  • I need help with my homework
    5·1 answer
  • Solve each equation.)<br><br> 9+t=35
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!