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alex41 [277]
3 years ago
12

The diameter is 12 inches. What is the area? What do I do to solve it please help!

Mathematics
2 answers:
Sidana [21]3 years ago
8 0

Answer:

The area of the circle is 113.04in²

Step-by-step explanation:

radius = half of diameter

d = 12 in

r = 12in / 2 = 6in

To solve this problem we need to use the area formula of a circle:

a = area

r = radius = 6in

π = 3.14

a = π * r²

we replace with the known values

a = 3.14 * (6in)²

a = 3.14 * 36in²

a = 113.04in²

The area of the circle is 113.04in²

SashulF [63]3 years ago
3 0

Answer:

113.04 sq. in.

Step-by-step explanation:

If the diameter of the circle is 12", then the radius is 6" (half the diameter), and the area "A" is (approximately) 3.14 * 6^2. The calculation is approximate because 3.14 is a rounded value for pi.

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A hiker walked 12.8 miles from 9:00 a.m. to noon. He walked an additional 17.2 miles from 1:00 p.m. to 6:00 p.m. What is his ave
marishachu [46]
The average speed is the distance divided by the time.

Total distance:
12.8 miles + 17.2 miles = 30 miles

Total time:
noon - 9:00 a.m. = 3 hours
6:00 p.m. - 1:00 p.m. = 5 hours
Total time = 3 hours + 5 hours = 8 hours

average speed = 30 miles / 8 hours = 3.75 miles per hour
6 0
3 years ago
It took Ivan 7.5 hours to drive 412.5 miles. How fast was he driving?
Tju [1.3M]
Since the question is asking how fast he is driving, we need to find his speed in miles per hour. To do this, you need to divide the amount of miles he drove by the amount of hours it took. When you do 412.5/7.5, you get the answer of 55 miles per hour. 
6 0
3 years ago
Describe how to write 3x+2y=12 in function notation. Assume that y represents the dependant variable.
kotegsom [21]
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5 0
3 years ago
Two boats leave a dock at the same time. One boat travels south at 32 mi divided by hr32 mi/hr and the other travels east at 60
TEA [102]

Answer: the rate at which the distance between the boats is​ increasing is 68 mph

Step-by-step explanation:

The direction of movement of both boats forms a right angle triangle. The distance travelled due south and due east by both boats represents the legs of the triangle. Their distance apart after t hours represents the hypotenuse of the right angle triangle.

Let x represent the length the shorter leg(south) of the right angle triangle.

Let y represent the length the longer leg(east) of the right angle triangle.

Let z represent the hypotenuse.

Applying Pythagoras theorem

Hypotenuse² = opposite side² + adjacent side²

Therefore

z² = x² + y²

To determine the rate at which the distances are changing, we would differentiate with respect to t. It becomes

2zdz/dt = 2xdx/dt + 2ydy/dt- - - -- - -1

One travels south at 32 mi/h and the other travels east at 60 mi/h. It means that

dx/dt = 32

dy/dt = 60

Distance = speed × time

Since t = 0.5 hour, then

x = 32 × 0.5 = 16 miles

y = 60 × 0.5 = 30 miles

z² = 16² + 30² = 256 + 900

z = √1156

z = 34 miles

Substituting these values into equation 1, it becomes

2 × 34 × dz/dt = (2 × 16 × 32) + 2 × 30 × 60

68dz/dt = 1024 + 3600

68dz/dt = 4624

dz/dt = 4624/68

dz/dt = 68 mph

6 0
3 years ago
Which values of a and b make this system of equations have infinitely many solutions?
Afina-wow [57]

9514 1404 393

Answer:

  a = 3, b = -8

Step-by-step explanation:

Solving the first equation for y, we get ...

  2y +16 = 6x . . . . . given

  y = 8 +3x . . . . . . . divide by 2

  y = 3x -8 . . . . . . . subtract 8

In order for the system of equations to have infinitely many solutions, the second equation must be the same as this:

  y = ax +b

  a = 3, b = -8

6 0
3 years ago
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