1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dahasolnce [82]
3 years ago
5

A door with width 4.20m has an arc as shown in the diagram. Find: a) the radius of the arc, to the nearest cm. b) the length of

the arc, to the nearest cm

Mathematics
2 answers:
Ksju [112]3 years ago
5 0

Hi there!

~

R = \frac{2.1}{sin 67.5}

Arc = R \frac{3\pi }{4}

(A)

Hope this helped you!

lions [1.4K]3 years ago
5 0

Answer:

a. 2m

b. 5m

Step-by-step explanation:

a. from the triangle assuming ABC

half triangle ABC will be ABO and ACO

AO = OB = 4.20m ÷ 2

AO = OB = 2.1m

finding the angle between AB and AC

360 - 225 = 135°

the angle between AB and AO

135÷2= 67.5°

using sin to find the length of AB = radius

sin 67.5 = 2.1/r

r= 2.2730 ~2m

b. theta/360 ×2πr = length of the arc

L= 135/360×2×22/7 × 2.2730

Length of the arc = 5.3578m ~ 5m

You might be interested in
Which equation represents this situation
EastWind [94]

Answer:

Need more information

Step-by-step explanation:

To answer your question, I need to know what equation you're looking at. If you could update your post with a picture or graph that'd be great.

5 0
3 years ago
What is the arc measure of major arc AC on circle P in degrees
andreyandreev [35.5K]

An arc is a segment of a circle. An arc measure is the measure of an angle that the arc creates in the center of a circle, while an arc length is the span of the arc. This measure can be given in degrees or radians. We can easily convert between the two using the fact that pi radians = 180 degrees.
5 0
3 years ago
(a−2b)3 when a=−4 and b=−1/2
Vikentia [17]

Answer:

-9

Step-by-step explanation:

(-4-2*-1/2)3

(-4+1)3

-3*3

-9

3 0
2 years ago
Read 2 more answers
Find the volume of the following figure using unit cubes.
krok68 [10]

Answer:

<h2>        64 units³</h2>

Step-by-step explanation:

2 units × 4 units × 8 units = 64 units³

5 0
3 years ago
The first term of a geometric sequence is 1, and the common ratio is 10. What is the 10th term of the sequence?
lys-0071 [83]
T(10)=1(10)^9=1000000000
7 0
3 years ago
Other questions:
  • Car Wash A theater group is having a carwash fundraiser. The liquid soap costs $31 and is enough to wash 40 cars. Each car is ch
    12·1 answer
  • Train A leaves Westtown and travels at 50 mph toward Smithville, 330 miles away. At the same time, Train B leaves Smithville and
    15·1 answer
  • Elmer has a collection of 300300300 fossils. Of these, 21\%21%21, percent are fossilized snail shells.
    7·1 answer
  • Whats 99/125 as a decimal?
    12·2 answers
  • Solve the inequality. Show your work. |r + 3| ≥ 7
    15·1 answer
  • Casey has n nick;es. megan has 4 times as many nickels as casey. write an expression fir the total number of nickels casey and m
    15·2 answers
  • PLZ PLZ PLZ PLZ HELP​
    12·2 answers
  • Solve the proportion. 2x/5 = 9/15
    13·2 answers
  • You play a game of double roulette. You place a bet of 10 chips that the
    6·1 answer
  • Answer number 5 please. Thank youu
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!