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photoshop1234 [79]
3 years ago
11

A subtending arc on a circle with a radius of 4.5 centimeters has an arc length of 8π. The measure of the angle subtended by the

arc is °.Which angle measure less than or equal to 360° is equivalent to an angle of ?
Mathematics
1 answer:
yarga [219]3 years ago
3 0

Answer:

  320°

Step-by-step explanation:

<u>Part 1</u>

The arc length is given by ...

  s = rθ . . . . . r is the radius, θ is the central angle in radians

We want to find θ, so we can fill in the given values and divide by the coefficient of θ.

  8π = 4.5θ

  θ = 8π/4.5 = 16π/9 . . . radians

Since π radians = 180°, the degree measure of the angle is ...

  θ = (16/9)180° = 320°

The measure of the angle subtended by the arc is 320°.

_____

<u>Part 2</u>

We might be able to help with the second part of the question, but you need to edit to put in the numbers and answer choices.

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PLEASE HELP ME ITS ALREADY LATE AND ITS BRINGING MY GRADE WAY DOWN PLEASE HELP ME PLEASE!!!!
Anni [7]

Answer:

  1. I think a=15 and b=9

Step-by-step explanation:

I think that's it could be wrong

there we go ;)

3 0
2 years ago
A Cepheid variable star is a star whose brightness alternately increases and decreases. For a certain star, the interval between
fomenos

Answer:

0.41 (correct to 2 decimal place)

Step-by-step explanation:

If B(t)=4.0+0.35sin\frac{2\pi t }{5.4}

Let u=\frac{2\pi t }{5.4}, then B(u)=4.0+0.35sin u

We want to determine the rate of increase \frac{dB}{dt} after one day

du=\frac{2\pi dt }{5.4} and \frac{dB}{du}  =0.35cos u

\frac{dB}{dt}=\frac{2\pi }{5.4}0.35cos (\frac{2\pi t }{5.4})=0.407cos (\frac{2\pi t }{5.4})

B^{'} (t)=0.407cos (\frac{2\pi t }{5.4})

Rate of increase after one day, i.e. t=1

B^{'} (1)=0.407cos (\frac{2\pi X 1 }{5.4})= 0.407 =0.41 (correct to 2 decimal place)

5 0
3 years ago
Find the missing side or angle.<br> Round to the nearest tenth.
statuscvo [17]
Cosine law
a^2 = b^2 + c^2 - 2(b)(c)cosA
a^2 = 2^2 + 4^2 - 2(2)(4)cos78
a = 4.08
a = 4.1
3 0
3 years ago
Read 2 more answers
· Amanda has $210 in her school lunch account. She spends $35 each week on school lunches. The
tigry1 [53]

Answer:

(See step-by-step)

Step-by-step explanation:

Let’s start by making A-(X) and W-(Y). So, when substituting the variables you get x=210-35y. When x=0, the answer to the equation is 6. So, the y-intercept (when x=0) is 6 or (0,6). When y=0, the answer to the equation/x-intercept(y=0) is 210 or (210,0). The graph itself looks like the image included.

The domain, realistically, is x>=0 however on the graph itself, the domain is x= All Real Numbers. The range realistically is y>=0, but on the graph it is also All Real Numbers.  

The x-intercept is the account when no weeks have passed and no money is lost (210) and the y-intercept is the maximum amount of weeks before there is no more money in the account (6).  

3 0
3 years ago
In the diagram of O, m∠JOK = 60° and OJ = 6 in. What is the exact area of the shaded region?
Sophie [7]

Answer:   6π

<u>Step-by-step explanation:</u>

Area of a circle is π r².

Area of a section of a circle is π r² × the section of the circle.

A=\pi r^2\bigg(\dfrac{\theta}{360^o}\bigg)

Given: r = 6, Ф = 60°

A=\pi (6)^2\bigg(\dfrac{60^o}{360^o}\bigg)\\\\\\.\quad =\pi (6)^2\bigg(\dfrac{1}{6}\bigg)\\\\\\.\quad =6\pi

3 0
2 years ago
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