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marin [14]
3 years ago
9

A circle has a radius that is 4 centimeters long. If a central angle has a measure of 3 radians, what is the length of the arc t

hat corresponds to the angle
Mathematics
2 answers:
kirill115 [55]3 years ago
4 0
The total length of the circle is calculated by the following formula:

Lenght = 2.π.r

As r = 4c

Then,

Lenght = 2.π.4

Lenght = 8π centimetrs

Now use the rule of 3


But we have to know:

...<..> ...

Then,

8π ________ 2π <= 360°

x ________ 3π


2π . x = 8π . 3π

x = (8π . 3π) / 2π

x = (8 . 3π)/ 2

x = 12π centimenters

x ~ 37,69 c
gladu [14]3 years ago
3 0

Answer: 12 centimeters

Step-by-step explanation:

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Simplify expression 1 1/2
Aleksandr [31]

Answer:

3/2 or 1.5

Step-by-step explanation:

3 0
3 years ago
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0.04 is 1/10 of please thanks
Nataliya [291]
In math, "is" means "is equal to" 
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Multiply each side by 10: 0.4 = 'x'
8 0
4 years ago
Breana wants to put a flag right in the middle of her circular garden. The circumference of her garden is 138.16 yards. How far
8_murik_8 [283]

Answer:

21.98 yards

Step-by-step explanation:

In this question, we are asked to get the distance from a flag placed at the center of a garden to the edge of that garden.

From the definition of circle terms, the radius of a circle is simply the distance from the center of the circle to any part of the circumference(in this case, edge of the circle)

Since we are given the circumference of the circle, all we need to do to know the distance is to look for the value of the radius. Hence, we use the formula that links the circumference of a circle and the radius of the circle.

Mathematically, the circumference of a circle C=2πr

The value π is 22/7

138.16 = 2 * 22/7 * r

44r = 7 * 138.16

r = (7 * 138.16)/44

r = 21.98 yards

Hence the distance from the center of the circular garden to its edge is 21.98 yards

3 0
3 years ago
23) Write the equation in slope-intercept form of the line that contains (4, -1) and is perpendicular to
Salsk061 [2.6K]

Step-by-step explanation:

Since it is asking for a perpendicular line, we take the reciprocal of the slope in the given equation to use as the slope for the perpendicular line.

In y = x + 2, m = 1. However, for a perpendicular line we flip and multiply by a negative 1.

(Example: If m = 3, we would take the reciprocal of it and it turns into m = -1/3. If m = - 1/4, we would take the reciprocal of it and it turns into m = 4.)

So, the m = 1 turns into a m = -1.

Now, you can use the point (4,-1) to form a point-slope equation first.

y-(-1) = -1(x-4)

Then, use basic algebra to form a slope-intercept form equation.

y + 1 = -x + 4

y = -x +3

8 0
3 years ago
- 65 POINTS -
eduard

Answer: f(x) = ∛(x+4)^2=8 + 3 = 11

4x5=20-9=11

Step-by-step explanation:

3 0
3 years ago
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