Here is a shape ABCD.
Calculate the perimeter of the shape.
Give your answer correct to 3
significant figures.
B
С
D
9 cm
O
9 cm
140°
21 cm
24°
А
The shape is made from a triangle and a
sector of a circle, centre O and radius 9 cm.
AD = 21 cm
Angle AOD = 140°
Angle OAD = 24°
Total marks: 5
Answers
9514 1404 393
Answer:
59.8 cm
Step-by-step explanation:
The length of arc ABC is ...
s = rθ
s = (9 cm)(220/180π) = 11π cm ≈ 34.558 cm
The length of segment CD is 9 cm less than the length of segment OD. OD can be found using the law of sines.
OD/sin(A) = AD/sin(O)
OD = AD·sin(A)/sin(O) = (21 cm)sin(24°)/sin(140°) ≈ 13.288 cm
Then the length of CD is ...
CD = OD -9 cm = (13.288 cm) -(9 cm) = 4.288 cm
The perimeter is the sum of the segment and arc lengths:
P = ABC + CD +AD
P = 34.558 cm + 4.288 cm + 21 cm = 59.846 cm
The perimeter of the shape is about 59.8 cm.
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Two garden hoses are filling a kiddie pool together. Together they can fill the pool in 12 minutes. If used separately, one hose can fill the pool 10 minutes faster (not 10 times) than the other. How long does each hose take by itself to fill the pool?
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
Riggs =x
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Answers
Answer:
There would be 145 men employees.
Step-by-step explanation:
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Answer:
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Answers
whats the question
ill edit the answer in you put the question
Answer:
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Step-by-step explanation:
Okay, since a triangle has 3 sides, we only need to find the measure of m∠3.
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Answer:
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ik this isnt mathematics but heres my question.
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Answer:
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Answers
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Answers
Answer:
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Answer:
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Answer:
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sdsa
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
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Answers
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Answers
Answer:
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Step-by-step explanation:
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Have a great day :)
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Need help will mark brainlist if right
Answers
Answer:
1. Standard form (d.)
2. Factored form (a.)
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Answer:
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Step-by-step explanation:
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Answers
Answer:
Yes, but can be simplified to [tex]-\frac{1}{4}[/tex]
Step-by-step explanation:
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In this sense, we can see that the rise is -2
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Although you are correct in the [tex]-\frac{2}{8}[/tex], don't forget to use your GCF to determine how low the fraction can go. (GCF or greatest common factor of 2 in this case) to get [tex]-\frac{1}{4}[/tex]
I hope this answer finds you well, and I would be happy to help you again in the future! :D
will give brainly if correct (hs gemotry)
Scarlett has a 12 foot ladder that she is using so she can clean the gutters on her house. If she leans it against the house, making an 80 degree angle with the ground, how high up the house does it reach?
Answers
Scarlet is leaning a 12 foot ladder. When you lean a 12 foot ladder, it is s slanted so we will make 12 our slanted side or hypotenuse. It makes a 80 degree angle after contact with the ground so it will be on the lowest angle on the right. We are asked to find the vertical side or how high up the ground is. We are asked to a angle that is opposite of the given angle which is x .. And we are also given the hypotenuse. We are going to use sin using our SOHCAHTOA
[tex] \sin(theta) = \frac{opposite}{hypotunese} [/tex]
Where there is our given angle.
Let plug it in
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Multiply 12 by both sides and we get
[tex] \sin(80) \times 12 = x[/tex]
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IF ROUNDED TO NEAREST TENTH, 11.8
IF ROUNDED TO NEAREST HUNDRETH, 11.82
If an airplane boards 16 people every 3 minutes how long would it take to board all 150 passengers
Answers
Answer:
28 or 29 minutes
Step-by-step explanation:
multiply 150 and 3 then divide by 16 which gives you 28.12 but I guess you can round it to 28 or 29
Answer:
28 or 29 minutes u choose
Step-by-step explanation:
16 x 9 = 144 for 27 minutes
16 x 10= 160 for 30 minutes
I'd go with 28