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Ivenika [448]
3 years ago
15

Arc Length and Radians question- please help! Will mark brainliest! Is 20pts!

Mathematics
2 answers:
earnstyle [38]3 years ago
4 0

Answer:

Step-by-step explanation:

length of arc= (arc angle/360) * 2πr

length= 140/360 *2*22/7*24

length=58.88 feet ~59 feet(approx)

kherson [118]3 years ago
3 0

Answer:

59

Step-by-step explanation:

If we convert from degrees into radians, we can use the formula

s=r\theta, where s is the arc length, r is the radius and θ is the angle in radians.

To convert from degrees to radians, we multiply by \frac{\pi}{180}

So \frac{140 \pi}{180} is our angle in radians, and we have the radius - we can now plug in these two values into our equation.

s=24*\frac{140 \pi}{180} =58.64

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Lanie's room is in the shape of a parallelogram. The floor of her room is shown below and has an area of 108 square feet. Lanie
dsp73

Answer:

Yes it would

Step-by-step explanation:

Lanie's room is in the shape of a parallelogram.

Lanie has a rectangular rug that is 6 feet wide and 10 feet long.

Area of a rectangle = Length × Width

Area of the rectangular rug = 10 feet × 6 feet

= 60 square feet

We are told that:

The floor of her room is shown below and has an area of 108 square feet.

Hence, the rug would fit on the floor of her room because it's area is within the area of the floor of her room.

7 0
3 years ago
The surface area of this regular pyramid is 1040 cm2. The base is a regular pentagon with side b = 16 cm and slant height l =15
Valentin [98]

Answer:

(a) = 11 cm

Step-by-step explanation:

The formula for finding the surface area of a regular pyramid is B + (1/2*P*l), with B being the area of the base, p being the perimeter of the base, and l being the slant of the pyramid.

The area of a pentagon can be solved using the formula 1/2*a*p, with a being the apothem and p being the perimeter of the pentagon.

  1. B + (1/2*80*15) = 1040
  2. B + 600 = 1040
  3. 1040 - 600 = 440 (440 is the area of pentagon)
  4. 1/2*a*(16*5) = 440
  5. 40*a = 440
  6. 440/40 = 11

The apothem is 11 cm. Hope this helps!

6 0
3 years ago
Here are two number machines, A and B.
Troyanec [42]

Answer:

Step-by-step explanation:

We can write them both like functions like this

Where

x=input

A=Output A

B=Output B

We want the output of A 3 times the output of B this can be written like this:

we replace with the functions

we solve for x

The output that makes the out put of A 3 times teh output of B is

7 0
2 years ago
Find the k, in (2x^2 - 3x + k)/ x-4
amid [387]
Answer could be this 2x^2 - 7x + k/ x in a fraction with x being the only thing at the bottom btw
7 0
4 years ago
Todd hired a handyman to replace some tiles in his bathroom. He paid him $24 per hour of work and $15 as a tip.
Citrus2011 [14]
He paid him : 24t + 15

for 3 hrs...
24(3) + 15 = 72 + 15 = $ 87
4 0
4 years ago
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