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WARRIOR [948]
3 years ago
13

Find the arc length of a central angle of 90° in a circle whose radius is 4 inches

Mathematics
1 answer:
Pani-rosa [81]3 years ago
7 0
This is 1/4 * circumference
Circumference = 2 * pi * 4 = 8pi

arc length = 1/4  * 8pi = 2pi  or 6.28 ins to nearest hundredth.
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Find the surface area of the triangular prism.
Ivahew [28]

The surface area of the triangular prism is 93 squared feet.

<h3>What is the surface area of the triangular prism?</h3>

The surface area of triangular prism is expressed as;

S.A = bh + ( s₁ + s₂ + s₃ )H

From the diagram;

  • h = 2ft
  • b or s₁ = 3ft
  • s₂ = 3ft
  • s₃ = 3ft
  • H = 10ft

We substitute our given values into the equation above.

S.A = bh + ( s₁ + s₂ + s₃ )H

S.A = (3ft × 2ft) + ( 3ft + 3ft + 3ft )10ft

S.A = 3ft² + ( 9ft )10ft

S.A = 3ft² + 90ft²

S.A = 93ft²

The surface area of the triangular prism is 93 squared feet.

Learn more about prisms here: brainly.com/question/21079821

#SPJ1

6 0
2 years ago
Please answer I need help with my I-ready
Rainbow [258]

The answer is in the image

8 0
2 years ago
Aubrey worked at the concession stand during a recent sporting event at her high school. During the first hour of the event, she
ella [17]

Answer:

cost of nachos = $3.45

Cost of tacos = $1.5

Step-by-step explanation:

Let

x = cost of nachos

y = cost of tacos

11x + 18y = 64.95 (1)

6x + 15y = 43.20 (2)

Multiply (1) by 6 and (2) by 11 to eliminate x

66x + 108y = 389.70

66x + 165y = 475.20

Subtract to eliminate x

165y - 108y = 475.20 - 389.70

57y = 85.50

y = 85.50/57

y = 1.5

Substitute y = 1.5 to find x

11x + 18y = 64.95 (1)

11x + 18(1.5) = 64.95

11x + 27 = 64.95

11x = 64.95 - 27

11x = 37.95

x = 37.95/11

x = 3.45

cost of nachos = $3.45

Cost of tacos = $1.5

8 0
3 years ago
Given the following triangle:
lara [203]

Answer:

A=61, B=74

Step-by-step explanation:

Because all the angles in a triangle add up to 180:

(2x+4) + (2x-9) + x = 180

If you solve that for x, you will get that x=35. Now you just plug in x to the angles A and B.

6 0
3 years ago
Dylan drinks 2/3 of a glass of water for breakfast, 1 1/4 glasses for lunch, and 2 glasses for dinner. How much water did he dri
AlexFokin [52]

Answer:

5 11/12 water

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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