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natta225 [31]
3 years ago
13

Find the length of the arc shown in brown. Leave your answer in terms of pi.

Mathematics
2 answers:
just olya [345]3 years ago
8 0
The central angle that captures the brown arc is 120°. To find out what fraction of the total circumference the brown arc is, we can find the ratio of this 120° angle to the total central angle of a circle, which is 360°. So we have:

\frac{120}{360} = \frac{1}{3}

Now we know the brown arc is \frac{1}{3} of the total circumference. The circumference is π*diameter, so in this case it’s 24π.

Finally, we do:

\frac{1}{3}*24 \pi =8 \pi \text{ feet}
dlinn [17]3 years ago
5 0

Answer:1. a central angle

2. c 270

3.d. Two times r equals the diameter of the circle. Pi equals the circumference divided by the diameter. When you multiply, the diameter is in both the numerator and the denominator, which cancels out, leaving the circumference.

4. c 155

5. c 70

6.b 55

7. c 19 in

8. a 183.3 ft

9. b 8 pi ft

10. b 33 pi in


Step-by-step explanation:


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When Θ = 5 pi over 6, what are the reference angle and the sign values for sine, cosine, and tangent? Θ' = negative pi over 6; s
timama [110]

Answer:

Option C is correct.

Step-by-step explanation:

\theta=\frac{5\pi }{6}

We need to find reference angle and signs of sinФ, cosФ and tanФ

We know that \theta=\frac{5\pi }{6}radians is equal to 150°

and 150° is in 2nd quadrant.

So, Ф is in 2nd quadrant.

And In 2nd quadrant sine is positive, while cos and tan are negative

The reference angle Ф' is found by: π - Ф

=> Ф = 5π/6

so, Reference angle Ф' = π - 5π/6

Ф' = 6π - 5π/6

Ф' = π/6

So, Option C Θ' = pi over 6; sine is positive, cosine and tangent are negative is correct.

5 0
3 years ago
Type the correct answer in the box. Use numerals instead of words.
artcher [175]

Answer:

100

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Which of these is equivalent to the following expression? 5s - 11b + 3s - 12b A. -b + 8s -B.23b + 2sC. -23b + 8s D. b + 8s
Marina86 [1]

Answer:

Option b) and c) are correct

Step-by-step explanation:

Given expression is  5s - 11b + 3s - 12b

5s - 11b + 3s - 12b=8s-23b (Rearranging the right hand side terms)

5s - 11b + 3s - 12b =-23b+8s

Option c) is correct

By the definition of equivalent the given expression is the sum of the two terms ( the terms may vary or equal)

From the definition of equivalent we get, Option b) is also correct

Therefore  Option b) and c) are correct

4 0
3 years ago
The price of a mountain bike increased by 20% in the past year the value is $150 what was the value of the mountain bike last ye
n200080 [17]

I hope I am reading the problem right: The price of a mountain bike increased by 20% in the past year. The value is $150. What was the value of the mountain bike last year?

Let's simplify this. One year, there was this radical mountain bike that used to have an unsaid price, <em>x. </em>That year, that price of x increased by 20% more than it was before, or <em>120% times the original value</em>. Because of that, it's now $150.

We can equation this.

1.20x = 150

x = 150/1.2

x = 125

The bike, I believe, cost $125 last year. Hope this helps!


8 0
3 years ago
I only need 1 b. please no work needed thank you
Zigmanuir [339]

Answer:

standard form is x^2-3x-4=0

which is a^2+bx+c=0

so the value of a=1 , b= -3 and c= -4

5 0
3 years ago
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