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3 years ago

If a circle has an arc with the measure of 60° and the length of the arc is 50 in, what is the

Mathematics

1 answer:

Crazy boy [7]3 years ago

8 0

Answer: radius = 47.8 inches

Step-by-step explanation:

An arc is a portion of the circumference of the circle. The formula for determining the length of an arc is expressed as

Length of arc = θ/360 × 2πr

Where

θ represents the central angle.

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

θ = 60 degrees

Length of arc = 50 inches

Therefore,

50 = 60/360 × 2 × 3.14 × r

Cross multiplying by 360, it becomes

18000 = 376.8r

r = 18000/376.8

r = 47.8 inches

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Frank must choose a number between 67 and 113 that is a multiple of 3,4 and 9 . Write all the numbers that he could choose.

svet-max [94.6K]

Answer: 72 108

Step-by-step explanation:

I think that is it but I am not sure

6 0

3 years ago

A worker is paid $0.07 on the first day, $0.14 on the second day, $0.28 on the third day, and so on. How much is the worker paid

monitta

Answer:

D) Over $4,000,000

Step-by-step explanation:

On the last day, the worker is paid $0.07*2²⁵ (it's by the power of 25 because it's 0 on the first day), which is $2,348,810.24. That means that the amount of money earned on all other days are $2,348,810.37, since 2⁰ + 2¹ + 2² + 2³... + 2ⁿ⁻² + 2ⁿ⁻¹ = 2ⁿ + 1.

That totals to approximately $4.6 million dollars, which is larger than $4 million.

4 0

3 years ago

Lyla made a scale drawing of a city park. She used the scale 1 millimeter = 1 meter. What is the scale factor of the drawing?

sertanlavr [38]

Answer:

1ml : 1m

Step-by-step explanation:

The scale factor of the drawing is the ratio of 1 milliliter and 1 meter; that is, 1ml : 1m.

4 0

3 years ago

If a picnic area is located at the midpoint between Sacramento and Oakland, find the distance to the picnic area from the road s

Oxana [17]

First, think this through. If you are 23 miles from Sacramento, and 110 miles from Oakland (I am assuming it is miles since you didn't specify *cough cough*) then the two cities are 133 miles apart (also assuming you are in between them)
$23miles + 110miles = 133miles$
so, we use the midpoint formula to find our position
$\frac{distance}{ 2}$
and get 66.5 miles from both Sacramento and Oakland.

Next, we already know the sign is 23 miles away from Sacramento so we can use that distance and our position to figure out how far away the sign is. We use absolute values because distance is always positive.
$|our \: position - distance \: of \: sign|$

so we get
$|66.5miles - 23miles| = 43.5miles$
to double check, use the sign's distance from Oakland.
$|66.5miles - 110miles| = 43.5miles$
so, we are 43.5 miles from the sign!

hope this helps

7 0

3 years ago

Triangle NMO has vertices at N(−5, 2), M(−2, 1), O(−3 , 3). Determine the vertices of image N′M′O′ if the preimage is reflected

Firdavs [7]

Notice that the reflection is over a line of the form x=constant; in this case, the y-coordinate of the reflected point stays the same while the x-coordinate changes as expressed by the transformation below

$\begin{gathered} y\rightarrow y \\ x\rightarrow2a+x \\ where \\ x=a\rightarrow\text{ vertical line} \end{gathered}$

Hence, in our case

$\Rightarrow(x,y)=(2*-4-x,y)=(-8-x,y)$

Transform points N, M, and O accordingly,

$\begin{gathered} \Rightarrow N^{\prime}=(-8-(-5),2)=(-8+5,2)=(-3,2) \\ \Rightarrow M^{\prime}=(-8-(-2),1)=(-6,1) \\ \Rightarrow O^{\prime}=(-8-(-3),3)=(-5,3) \end{gathered}$ <h2>Therefore, the answer is the first option (top to bottom)</h2>

6 0

1 year ago