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Elden [556K]
3 years ago
8

Need help please its my last question

Mathematics
1 answer:
Nesterboy [21]3 years ago
4 0

Given:

Radius of circle = 12 units

Area of sector = 24π sq. units.

Central angle = x

To find:

The value of x.

Solution:

We have,

r=12

A=24\pi

\theta = x

We know that, area of a sector is

A=\dfrac{\theta }{360^\circ}\pi r^2

Where, \theta is central angle, r is radius.

24\pi=\dfrac{x}{360^\circ}\pi (12)^2

24\pi=\dfrac{x}{360^\circ}\pi (144)

\dfrac{24\pi}{144\pi}=\dfrac{x}{360^\circ}

\dfrac{1}{6}=\dfrac{x}{360^\circ}

Multiply both sides by 360 degrees.

\dfrac{1}{6}\times 360^\circ=x

60^\circ=x

The value of x is 60 degrees.

Therefore, the correct option is A.

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what is the y-intercept of the equation of the line that is perpendicular to the line y=3/5x+10 and passes through the point (15
ohaa [14]

The slope of the given line is the coefficient of x, 3/5. The slope of the perpendicular line will be the negative reciprocal of that: -1/(3/5) = -5/3.

The point-slope form of the equation for a line of slope m through point (h, k) can be written ...

... y = m(x -h) +k

For your point and the slope found above, this becomes

... y = (-5/3)(x -15) -5

When x=0, this is

... y = (-5/3)(-15) -5 = 20

The y-intercept is 20.

3 0
3 years ago
The area of a triangular-shaped rug is 21 square yards and the height is 3 yards. Find the base.
tresset_1 [31]

Answer:

14 yards

Step-by-step explanation:

the area of a triangle is 0.5×b×h

so

plug in what you have

0.5×b×3=21

(3x0.5)b=21

1.5b=21

b=21/1.5

b=14

6 0
3 years ago
HEY!!! YES, YOU!!! WANNA HELP OUT A FELLOW SUFFERING VICTIM OF MATH? NOWS YOUR CHANCE!!! PLEASE HELP! 10 PTS!!!
rosijanka [135]

Answer:

16 cm

Step-by-step explanation:

Suppose that x is the original width. If that original width is enlarged by a scale factor 5/2 that means that x is multiplied by 5/2 and after that multiplication we obtained new width, 40 cm.

Therefore,

x*(5/2) = 40

We multiply the equation by 2 and obtain:

x*5 = 40*2

5x = 80

Now we divide the equation by 5 and obtain:

x = 80/5

x = 16

We obtained that x, the original width was 16 cm

5 0
3 years ago
Consider the system of equations
Free_Kalibri [48]

Answer:

(-3,-8)

Step-by-step explanation:

okay so what we can do here is elimination

we can do this first by multiplying the entire second equation by 2

so then it would become

2(5x-2y=1)

10x-4y=2

now we can add the two equations together which will eliminate y

so

-8x+4y=-8 plus

10x-4y=2 equals

2x=-6

we did that by combining like terms

next we can simplify that

x=-3

now we can plug that into the equation

-8(-3)+4y=-8

simplify

24+4y=-8

4y=-32

y=-8

our answer would be

(-3,-8)

7 0
3 years ago
Read 2 more answers
Find the midpoint of AB if a (-1,7) and B (11,-1)​
Nady [450]

Answer:

  • (5, 3)

Step-by-step explanation:

<h3>Given </h3>
  • Points A(-1,7) and B (11,-1)​
<h3>To find</h3>
  • Midpoint of AB
<h3>Solution</h3>

<u>Using midpoint formula</u>

  • x = (-1 + 11)/2 = 10/2 = 5
  • y = (7 -1)/2 = 6/2 = 3

Midpoint is (5, 3)

8 0
3 years ago
Read 2 more answers
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