8x5 = 10 12 4 6. DeMarius' original design for his car used rear wheels with a radius of 12 inches. What is the measure of the central angle of this rear wheel such that the arc length is equivalent to that of a full rotation of the rear wheel that is actually used on DeMarius' car? aRc length = Radius x cempal angle Answer: 1 2 7 8 = 1tr 16 = 12 th eta 3X2 11 12 theta = 240° 8 x 2π = √₂ x 2² x 2₁T X ₂ = X X π = 4 ₁ = theta C = 2.TT. V C = 2 · TT 12in angle 2.1 12 = 12 in- central an central angle = (2-TT-12 (n) 121n central angle = 2 TT = 6.28 = 360°

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question
100%
6. DeMarius 'original design for his car used rear wheels with a radius of 12 inches. What is the measure of the central angle of this rear wheel such that the arc length is equivalent to that of a full rotation of the rear wheel that is actually used on DeMarius' car?
What is the area of the side panel? Round your answer to the nearest hundredth.
า
Answer. LA + LB + LC = 180°
(as arb
a
LC = (180-130 - 19)
LC = 31°
SIN(A) Sin (B) = sin (c)
sin (c) sin(130) = sin(31)
3. On the side of the panel, a bright yellow triangle is painted whose sides measure 2 feet, 3.5 feet, and 5 feet.
12/2·10.41·7· sin (19) = 11.86 F4²
What is the area of the bright yellow triangle? Round your answer to the nearest hundredth.
Answer:
a = √s(s-a) (s-b) (S-C) S = (a+b+c)
9=2ft b=3.5 C=5F
Answer:
5. The
2
A₂ √ (5.25) (5-25-2)(5.25 -2.5) (5.25) A √√/15-25)(3-25)(1-15)(0-25)
A = √2.4648
A €2.73 +²
4. The front wheels on DeMarius' car are divided into sectors of equal area. The radius of each wheel is 8
inches. The area painted blue is twice the area painted green. The area painted green is half the area painted
red. What is the area painted red on one of the front wheels? Round your answer to the nearest hundredth.
B=26
; G = 1/2 R₁
R = 26
80.42 in. 2
B + G + R = 11 (8) ²
2G + 6 +26 = 64 TT
G = 64 πT
5 )
4
6.
radius, in feet, of a rear wheel on the car? Write your answer as a simplified fraction.
Answer:
r₁0₁ = 1₂0₂
r. (x2π) ) = √₂x
16
8 in
= 2 · TT - 8 = 16 TT
16 t = 12 th eta
1/2 T
thera= 240°
IT =
R-26 30
wheels of DeMarius' car complete of a rotation for every full rotation of a front wheel. What is the
5
X 2 IT
s) 8 x 2π = ₂ x
2
√2=1025 Ft
8x5
= 10 1
2TT 2
DeMarius' original design for his car used rear wheels with a radius of 12 inches. What is the measure of the
central angle of this rear wheel such that the arc length is equivalent to that of a full rotation of the rear wheel
that is actually used on DeMarius' car? apc length = Radius x central angle
Answer:
theta
2
R = 2 × 64 TT
5
X
a=
C = 2.TT. V
C = 2 · TT 12in
2. π 12 = 12 in central angle
central angle = (2-TT-12 (n)
1210
7 sin (130)
Sin (31) = 10.41
central angle = 2 TT
= 6.28
= 360°
5= (2+3.5+5)
2
S=5.25 ft
Transcribed Image Text:What is the area of the side panel? Round your answer to the nearest hundredth. า Answer. LA + LB + LC = 180° (as arb a LC = (180-130 - 19) LC = 31° SIN(A) Sin (B) = sin (c) sin (c) sin(130) = sin(31) 3. On the side of the panel, a bright yellow triangle is painted whose sides measure 2 feet, 3.5 feet, and 5 feet. 12/2·10.41·7· sin (19) = 11.86 F4² What is the area of the bright yellow triangle? Round your answer to the nearest hundredth. Answer: a = √s(s-a) (s-b) (S-C) S = (a+b+c) 9=2ft b=3.5 C=5F Answer: 5. The 2 A₂ √ (5.25) (5-25-2)(5.25 -2.5) (5.25) A √√/15-25)(3-25)(1-15)(0-25) A = √2.4648 A €2.73 +² 4. The front wheels on DeMarius' car are divided into sectors of equal area. The radius of each wheel is 8 inches. The area painted blue is twice the area painted green. The area painted green is half the area painted red. What is the area painted red on one of the front wheels? Round your answer to the nearest hundredth. B=26 ; G = 1/2 R₁ R = 26 80.42 in. 2 B + G + R = 11 (8) ² 2G + 6 +26 = 64 TT G = 64 πT 5 ) 4 6. radius, in feet, of a rear wheel on the car? Write your answer as a simplified fraction. Answer: r₁0₁ = 1₂0₂ r. (x2π) ) = √₂x 16 8 in = 2 · TT - 8 = 16 TT 16 t = 12 th eta 1/2 T thera= 240° IT = R-26 30 wheels of DeMarius' car complete of a rotation for every full rotation of a front wheel. What is the 5 X 2 IT s) 8 x 2π = ₂ x 2 √2=1025 Ft 8x5 = 10 1 2TT 2 DeMarius' original design for his car used rear wheels with a radius of 12 inches. What is the measure of the central angle of this rear wheel such that the arc length is equivalent to that of a full rotation of the rear wheel that is actually used on DeMarius' car? apc length = Radius x central angle Answer: theta 2 R = 2 × 64 TT 5 X a= C = 2.TT. V C = 2 · TT 12in 2. π 12 = 12 in central angle central angle = (2-TT-12 (n) 1210 7 sin (130) Sin (31) = 10.41 central angle = 2 TT = 6.28 = 360° 5= (2+3.5+5) 2 S=5.25 ft
A soap box derby is a contest in which the cars competing rely only on gravity to move. There is nothing
motorized in the car. These gravity racers are typically either pushed by others at the start of a race or the race is
downhill.
DeMarius is constructing a car to enter into a soap box derby. The side panel of the car is shown.
130⁰
7 ft
19
1. What is the length of the side of the side panel opposite the obtuse angle? Round your answer to the nearest
hundredth.
Transcribed Image Text:A soap box derby is a contest in which the cars competing rely only on gravity to move. There is nothing motorized in the car. These gravity racers are typically either pushed by others at the start of a race or the race is downhill. DeMarius is constructing a car to enter into a soap box derby. The side panel of the car is shown. 130⁰ 7 ft 19 1. What is the length of the side of the side panel opposite the obtuse angle? Round your answer to the nearest hundredth.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning