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Paladinen [302]
2 years ago
5

A circle with circumference 20 has an arc at 72 central angle. what is the length of the arc

Mathematics
1 answer:
Vsevolod [243]2 years ago
5 0

Answer:

4 units

Step-by-step explanation:

\because \: l =  \frac{ \theta}{360 \degree}  \times c \\  \\  \therefore \: l =  \frac{72 \degree}{360 \degree}  \times 20 \\  \\ \therefore \: l =  \frac{72 \degree}{18\degree} \\  \\ \therefore \: l =  4 \: units

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How many leaves on a tree diagram are needed to represent all possible combinations of rolling a die and spinning a spinner with
torisob [31]

I'm assuming the die is 6 sided. The number of leaves required to show the outcome would be the number of ways you can get any number on the die times the number of ways you can pick a number on the spinner. That would be 6*8=48. I'm also assuming you're talking about the final outcome because the answer varies on whether you start with spinning the spinner or rolling the die.

4 0
3 years ago
What is the approximate measure of angle T in the triangle below 79° 84° 96° 101°
Anestetic [448]

The approximate measure of angle T in the given diagram is 79°. The correct option is the first option 79°

<h3>Law of Cosines</h3>

From the question, we are to determine the approximate measure of angle T

From the law of cosines, we can write that

cosT = (s² + u² - t²)/2su

From the diagram,

s = 3.9 cm

u = 2.7 cm

t = 4.3 cm

Thus,

cosT = (3.9² + 2.7² - 4.3²)/2(3.9)(2.7)

cosT = (15.21 + 7.29 - 18.49)/21.06

cosT = 4.01/21.06

cosT = 0.1904

T = cos⁻¹(0.1904)

T = 79.02°

T ≈ 79°

Hence, the approximate measure of angle T in the given diagram is 79°. The correct option is the first option 79°

Learn more on Law of Cosines here: brainly.com/question/28081595

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4 0
11 months ago
David is twice as old as rick. The sum of Ricks age and davids age is 81. How old is Rick?
VLD [36.1K]
Rick is 27 years old. Pretend D is David and R is Rick

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2R+R=81  ---> 3R=81 ---> 81/3=R   R=27   3(27)=81 TRY IT!
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3 years ago
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2,250 m from his starting point.

Just turn 3.5 into 3500.
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3 years ago
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frosja888 [35]

Answer:

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Step-by-step explanation:

2(2x+3) +2(x+1)

4x+6+2x+2

6x+8

5 0
2 years ago
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