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
Arlecino [84]
3 years ago
12

Find the distance along an arc on the surface of the earth that subtends a central angle of 6 minutes (1 minute = 1/60 degree).

The radius of the earth is 3960 miles. Round to the thousandths. (3 decimal places)
Mathematics
1 answer:
bazaltina [42]3 years ago
3 0

Answer:

6.914miles (to 3 decimal places)

Step-by-step explanation:

Length of an arc = θ/360 *2πr

angle subtended by arc at the center of the earth = 6 minutes

1 minute =1/60 degree

6 minute= 6/60 degree =0.1°

θ=0.1°

radius of earth = 3960 miles

distance along the arc = \frac{0.1}{360}*2\pi  *3960

    =6.9142857143miles

You might be interested in
PLEASE HELP!!!!!
USPshnik [31]
X = 25 x Cos(18 deg)
6 0
3 years ago
Read 2 more answers
ABC Bookstore uses a storage unit that measures 13 ft x 16 ft x 12 ft. What is
Ludmilka [50]

Answer:

2496 cubic feet

Step-by-step explanation:

Dimension of storage unit 13 ft x 16 ft x 12 ft.

Since there are three sides it can be safely assumed that storage unit is rectangular in shape.

Volume of rectangular body is given by length * width * height

Using the above formula in the given dimension we have

volume of storage unit = length of storage unit * width of storage unit  * height of storage unit

volume of storage unit = 13 ft * 16 ft * 12 ft = 2,496 cubic feet

5 0
3 years ago
What are the zeros of f(x) = x2 - x - 20?
sattari [20]

Answer:

(-4,0) and (5,0)

Step-by-step explanation:

Factor.

f(x) = x^2 -x - 20

Factors of -20 that when are added they equal -1

-5 and 4

(x-5) (x+4)

x=5 and x=-4

5 0
3 years ago
Find the area of the shaded sector of the circle. Leave in terms of pi.
qaws [65]

Answer:

a=10.88\pi

Step-by-step explanation:

using the formula below, the central angle is 20° (bc 360-180-160=20)

radius is 14 (28/2=14)

\frac{20}{360} =\frac{a}{\pi r^2} \\ \frac{1}{18} =\frac{a}{\pi 14^2}

\frac{1}{18} =\frac{a}{196\pi}

a=\frac{1*196\pi}{18} \\a=1*10.88\pi\\a=10.88\pi

3 0
3 years ago
Find the value of x. Write your answer in simplest form.
slega [8]

Answer:

x = (9/2)√2

Step-by-step explanation:

The ratio of leg x to the hypotenuse 9 is equal to the cosine of 45 degrees:

cos 45 degrees = x/9

To find the value of x, multiply both sides of this equation by 9, obtaining 9*cos 45 degrees, which comes out to x =9(1/√2).  Rationalizing the denominator, we get x = (9/2)√2

7 0
3 years ago
Other questions:
  • In a study of 100 new cars, 29 are white. find and , where is the proportion of new cars that are white
    12·1 answer
  • Please help I don't understand
    7·1 answer
  • Write an equation of a line that is parallel to y=-6x+4 and passes through(2,10).
    10·1 answer
  • 45/84 is it in simplest form
    8·1 answer
  • Can someone help me please
    13·2 answers
  • The gas tank in Ava's car holds 17 gallons of gasoline. She can drive about 32 miles for each gallon. Which is the best estimate
    7·1 answer
  • HElP Due in 30 min<br> x =
    6·1 answer
  • The perimeter of an equilateral triangle is 12\/3 cm. Find the radius, apothem and area of the equilateral triangle.
    14·1 answer
  • There are 90 chickens on the farm if 60% of the animals on the farm are chickens ,how many animals are on the farm?
    8·2 answers
  • Nina and Jo both ran a 13 km race. Nina took 2 hour 10 minutes to run the whole race. Jo started the race 7 minutes later than N
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!