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1 year ago

What is the measure of the central angle of a circle with radius 60 cm the intercepts a 15 pi centimeters arc

Mathematics

1 answer:

alekssr [168]1 year ago

6 0

The measure of the central angle of a circle is 45⁰

<h3>What is Angle?</h3>

A figure which is formed by two rays or lines that shares a common endpoint is called an angle.

Here,

Theta (angle) θ = arc length / radius

θ = 15 π / 60 cm

θ = 0.79 radians

Convert to degrees

θ = 0.79 radians = 0.79 X 180/ π

= 0.79 X 180/ 3.14

= 45⁰

Thus, the measure of the central angle of a circle is 45⁰.

Learn more about Angle from:

brainly.com/question/7116550

#SPJ1

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Bill ate 1/4 pound of trail mix on his first break during a hiking trip. On his second break, he ate 1/6 pound. How many pounds

user100 [1]

1/4 + 1/6 =
3/12 + 2/12 =
5/12 <==

4 0

3 years ago

Read 2 more answers

If a certain cannon is fired from a height of 8.8 meters above the ground, at a certain angle, the height of the cannonball ab

Dennis_Churaev [7]

Answer:

It would take approximately 6.50 second for the cannonball to strike the ground.

Step-by-step explanation:

Consider the provided function.

$h(t)=-4.9t^2+30.5t+8.8$

We need to find the time takes for the cannonball to strike the ground.

Substitute h(t) = 0 in above function.

$-4.9t^2+30.5t+8.8=0$

Multiply both sides by 10.

$-49t^2+305t+88=0$

For a quadratic equation of the form $ax^2+bx+c=0$ the solutions are: $x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Substitute a = -49, b = 305 and c=88

$t=\frac{-305+\sqrt{305^2-4\left(-49\right)88}}{2\left(-49\right)}=-\frac{-305+\sqrt{110273}}{98}\\t = \frac{-305-\sqrt{305^2-4\left(-49\right)88}}{2\left(-49\right)}= \frac{305+\sqrt{110273}}{98}$

Ignore the negative value of t as time can't be a negative number.

Thus,

$t=\frac{305+\sqrt{110273}}{98}\approx6.50$

Hence, it would take approximately 6.50 second for the cannonball to strike the ground.

6 0

3 years ago

What is an equation of the line that passes through the points (-3, -2)(−3,−2) and (3, 6)(3,6)? Put your answer in fully reduced

il63 [147K]

Answer:

The equation of the line is y = $\frac{4}{3}$ x + 2

Step-by-step explanation:

The form of the equation that passes through two points (x1, y1) and (x2, y2) is y = m x + b, where

m is the slope of the line whose rule is $m=\frac{y2-y1}{x2-x1}$

b is the y-intercept, you can find it by substituting x, y in the equation by (x1, y1) OR (x2, y2)

Let us solve the question:

∵ The line passes through the points (-3, -2) and (3, 6)

∴ x1 = -3 and x2 = 3

∴ y1 = -2 and y2 = 6

→ Use the rule of m to find it

∵ $m=\frac{6-(-2)}{3-(-3)}=\frac{6+2}{3+3}=\frac{8}{6}$

→ Simplify it by dividing up and down by 2

∴ m = $\frac{4}{3}$

→ Substitute its value in the form of the equation above

∴ y = $\frac{4}{3}$ x + b

→ To find b substitute x and y by x1 and y1

∴ -2 = $\frac{4}{3}$ (-3) + b

∴ -2 = -4 + b

→ Add 4 to both sides

∴ -2 + 4 = -4 + 4 + b

∴ 2 = b

→ Substitute it in the form of the equation

∴ y = $\frac{4}{3}$ x + 2

∴ The equation of the line is y = $\frac{4}{3}$ x + 2

6 0

3 years ago

There are 22 paper clips in a draw 12 is gold an 10 are silver what fraction of the paper clip is gold?

yKpoI14uk [10]

Answer:

6/11

Step-by-step explanation:

there are 12 gold clips out of 22, so 12/22 and divide both sides by two to simplify.

7 0

3 years ago

Find f(x) and g(x) so that the function can be described as y= f(g(x)) y=9/x^2 + 2

fgiga [73]

\left[y \right] = \left[ 0\right][y]=[0] I hope helping with u

6 0

3 years ago