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
riadik2000 [5.3K]
3 years ago
6

A sector with a radius of 15cm has a central angle measure of 8pi/5 (in radians)

Mathematics
1 answer:
hodyreva [135]3 years ago
4 0

Answer:

565.49 cm2

Step-by-step explanation:

The area of a circle is given by:

Area = pi * r^2

And the whole area represents a central angle of 2pi.

Then, to find the area of this sector, we just need to use a rule of three:

area of pi * r^2 -> central angle of 2pi

area of x -> central angle of 8pi/5

x * 2pi = pi * r^2 * 8pi/5

2x = r^2 * 8pi/5

x = r^2 * 4pi/5 = 15^2 * 4pi/5 = 565.49 cm2

You might be interested in
Kenji baked 1 brownie with nuts on top and 14 brownies without nuts. What is the ratio of the number of brownies with nuts on to
r-ruslan [8.4K]

Answer:

1:14

Step-by-step explanation:

1 with nuts

14 without nuts

The ration has to be: w:wo

So 1:14

HOPE THIS HELPS!!!

4 0
4 years ago
What are the coordinates of B and how is that the answer ?
Trava [24]

Step-by-step explanation:

Point A = (-1, -3).

Midway of AB = (-3, 2).

Let Point B = (x, y).

Then (-1, -3) - (-3, 2) = (-3, 2) - (x, y).

=> (2, -5) = (-3-x, 2-y).

We have -3 - x = 2 and 2 - y = -5.

So x = -5 and y = 7.

Hence, point B = (-5, 7).

5 0
3 years ago
A line l2 is perpendicular to the line x + 2y – 5 = 0 without computing the gradient of this
Stells [14]

Answer:

y=2x-2

Step-by-step explanation:

first, let's put the line into y=mx+b form (slope-intercept form), where m is the slope (or gradient) and b is the y intercept

add 5 to both sides

x+2y=5

subtract x from both sides

2y=-x+5

divide by 2

y=-1/2x+5/2

perpendicular lines have slopes (gradients) that are negative (one is positive, another one is negative) and reciprocal (they are essentially the same number, just "flipped")

to find the slope of I2:

since -1/2 is negative, that means the slope of I2 will be 2 (2/1 is the reciprocal of 1/2 (positive version of -1/2))

so here's our equation so far:

y=2x+b

now we need to find b

because line will pass through (3,4), we can use it to solve for b

substitute 4 as y and 3 as x

4=2(3)+b

multiply

4=6+b

-2=b

therefore the equation is y=2x-2

hope this helps!!

3 0
3 years ago
What number would make this equation true?
stepladder [879]

Answer

A is the answer

Step-by-step explanation:

7 0
3 years ago
A circular pond has a radius of 35 feet. What is the diameter of the pond?
SVEN [57.7K]

Answer:

I believe the radius is half the circle which makes the diameter 2x the radius which is 35+35= 70

4 0
3 years ago
Other questions:
  • Grass can grow up o six inches in a week how tall will the grass grow in 24 days
    12·1 answer
  • PLEASE PLEASE PLEASE HELP PLEASE!!!!!!!!PLEASE SHOW YOUR WORK PLEASE!!!!!
    7·1 answer
  • Dan earns £9.90 per hour how much will he earn for 6 hours work?
    10·1 answer
  • The product of x and 3 is greater than it equal to -28
    14·2 answers
  • F(x)=-5|4x-1| + |x+2| for f(2)
    11·1 answer
  • What is 0.0003012 written in scientific notation?
    13·1 answer
  • Create an arithmetic sequence where term 1 is 1000
    13·1 answer
  • 115%5C
    14·1 answer
  • 3 jars of paprika and 4 packets of sage have a total weight of 290 grams. 7 jars of paprika have a total weight of 210 grams . W
    8·1 answer
  • Two marathon runners run the full distance of the marathon, approximately 26 miles, in 4 hours.About how many miles did they run
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!