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PSYCHO15rus [73]
3 years ago
6

What is the arc length when theta=2 pi/5 and the radius is 6 cm

Mathematics
1 answer:
Crank3 years ago
7 0

Answer:

The length of the arc is 7.536cm

Step-by-step explanation:

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

c = circumference

r = radius = 6cm

π = 3.14

c = 2π * r

we replace with the known values

c = 2 * 3.14 * 6cm

c = 37.68cm

The length of the circumference is 37.68cm

Now we calculate the fraction that corresponds to this arc with the rest of the circumference

(2 pi /5) / (2pi) = 1/5

now we multiply the circumference by the fraction

37.68cm  * 1/5 = 7.536cm

The length of the arc is 7.536cm

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Subtract using a number line -4 - (8)
Mashcka [7]

Answer:

Look at the number line.

Step-by-step explanation:

Step 1: Draw a number line.

Step 2: Mark -4 on the number line.

Step 3: Here we have to subtract 8, therefore, from -4 move 8 units left, we end up at -12.

That is the answer. Here is the picture.

Hope this will help you.

Thank you.

8 0
3 years ago
Does the line passing through the points (−1,−5) and (2,1) intersect the line passing through the points (−1,−6) and (1,2)?
Serggg [28]

Answer:

Yes

Step-by-step explanation:

As long as the slopes of these two lines are not the same, they will intersect.

Given two points on a line, we can find the slope by taking the difference in the y coordinates and dividing it by the difference in the x coordinates.

Slope of 1st line: \frac{-5-1}{-1-2} =\frac{-6}{-3} =\frac{1}{2}

Slope of 2nd line: \frac{-6-2}{-1-1} =\frac{-8}{-2}=4

The slopes are not equal, therefore the lines intersect.

5 0
3 years ago
What is the value of 5 in 756 write and draw to explain how you know?
kykrilka [37]

In the attached diagram you can see Place Value Chart that is used to help understand the value of each digit based on the place or position.

For the number 756:

  • 7 has a value of 7 hundreds, or 700;
  • 5 has a value of 5 tens, or 50;
  • 6 has a value of 6 ones, or 6.

Answer: 5 has a value of 5 tens, or 50

8 0
3 years ago
Read 2 more answers
When you solve the equation x + 1 = 2x for x, the solution is 1. 1) Square both sides of the equation, and verify that your solu
tatiyna

Answer:

(x + 1)² = (2x)²

(1 + 1)² = (2(1))²

2² = 2²

4 = 4

(-1 + 1)² = (2(-13))²

(-12)² = (-26)²

Not true

x = -13 satisfies neither

7 0
3 years ago
The difference of a number and 8 is no more then 13
skad [1K]

x - 8 = </= 13

x could be from 9 to 21

6 0
3 years ago
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