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lesantik [10]
2 years ago
9

A circle with a radius of 4.3 cm is centered at the vertex of an angle. a. Suppose the angle has a measure of 235 degrees. i. Wh

at is the radian measure of this angle? radians Preview i. What is the length (in cm) of the arc subtended by the angle's rays along the circle? cm Preview b.s b. Suppose θ represents the varying degree measure of the angle. Write an expression that represents the length (in cm) of the arc subtended by the angle's rays along the circle. (Enter "theta" for 0.) cm Preview
Mathematics
1 answer:
Flura [38]2 years ago
6 0

Answer:

1).  \frac{47\pi }{36} radians

2). 634.59 cm

Step-by-step explanation:

A circle has the radius = 4.3 cm and the angle subtended by the arc at the center = 235°

1). Radian measure of the given angle = θ × \frac{\pi }{180}

= 235\times \frac{\pi }{180}

= \frac{47\pi }{36} radians

2). Length of the arc subtended by the angle's ray along the circle will be

Length of the arc = rθ    [where r = radius of the circle.]

= 4.3\times \frac{47\pi }{36}

= \frac{4.3\times 47\times 3.14}{36}

= 634.59 cm

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emmasim [6.3K]

Answer:

53 teachers

Step-by-step explanation:

Basically, what we need to do here is to find how many teachers there need to be, first. If there are 6,734 students in the school district and if maximum class size is 25, then the number of teachers needed is:

6,734 / 25 = 269.36

Of course, it's obvious that we can't have a decimal number of teachers, so we need to find integer (269 or 270).

If we take 269 teachers and 25 students per class, we get:

269 • 25 = 6,725 students, which is not enough, since there are 6,734 students.

That means that the number of teachers needed is 270.

It is given that there are already 217 teachers, meaning that 270-217=53 teachers have to be supplemented.

8 0
2 years ago
If one worker can assemble 9 products per hour, and another worker can assemble 6 products per hour, how long will it take them
leva [86]

Answer:

  3 hours 20 minutes

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3 0
2 years ago
Solve the following by factoring 4x² + 12 =7x
LiRa [457]

Answer:

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Step-by-step explanation:

3 0
2 years ago
Victoria filled up her car with gas before embarking on a road trip across the country. The car uses 1.75 gallons of gas for eve
lozanna [386]

Answer:

G = 14 - 1.75(t)

Where G is the number of gallons of gas remaining;

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2 years ago
30 POINTS! Monica paid sales tax of $1.50 when she bought a new bike helmet. if the sales tax rate was 5%, how much did the stor
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Hmm... well, here ya go. 

1.50 ÷ 0.05 = 30 
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Hope I helped.  
6 0
1 year ago
Read 2 more answers
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