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Fynjy0 [20]
3 years ago
11

The caterer charges $200 for the food and $10 per hour for service hours. How many hours did the caterer work if she was paid $2

70?
Mathematics
1 answer:
katen-ka-za [31]3 years ago
4 0

Answer:

27

Step-by-step explanation      divided 10 and 270

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An arc 28 cm is cut from a circle of radius 15 cm. Find the angle of the sector formed by this arc.
Nutka1998 [239]

Answer:

\displaystyle \frac{28}{15}\; \text{radians}, which is approximately 107^{\circ}.

Step-by-step explanation:

In a given circle, the angle of a sector is proportional to the length of the corresponding arc:

\displaystyle \frac{\text{angle of sector $1$}}{\text{angle of sector $2$}} = \frac{\text{length of arc of sector $1$}}{\text{length of arc of sector $2$}}.

For the circle in this question, r = 15\; \rm cm, and the circumference would be:

2\, \pi \, r = 30\, \pi\; \rm cm.

The full circle itself is like a sector with an angle of 2\, \pi, with the arc length equal to the circumference of the circle.

\displaystyle \frac{\text{angle of sector}}{\text{angle of full circle}} = \frac{\text{length of arc of sector}}{\text{circumference of circle}}.

\displaystyle \frac{\text{angle of sector}}{2\,\pi\; \rm rad} = \frac{28\; \rm cm}{30\, \pi\; \rm cm}.

Rearrange the equation to find the angle of the sector:

\begin{aligned} & \text{angle of sector} \\ =\; & (2\,\pi\; \rm rad) \cdot \frac{28\; \rm cm}{30\, \pi\; \rm cm} \\ =\; & \frac{28}{15}\; \rm rad\end{aligned}.

In other words, the angle of this sector would be \displaystyle \frac{28}{15}\; \rm rad. Multiply that measure in radians by \displaystyle \frac{360^{\circ}}{2\,\pi\; \rm rad} to find the value of the angle measured in degrees:

\begin{aligned} & \frac{28}{15}\; \rm rad \times \frac{360^{\circ}}{2\,\pi\; \rm rad} \approx 107^{\circ}\end{aligned}.

7 0
3 years ago
होत है।<br>(2) सभी सर्वांगसम बहुभुज<br>भी होते हैं<br>​
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367 it’s also equivalent to 338
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All four arms of a mechanical jack are the same​ length, and they form a parallelogram. Turning the crank pulls the arms​ togeth
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10 inches

Step-by-step explanation:

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1/8(-8c+16)-1/3(6+3c)
Misha Larkins [42]
\frac{1}{8}(-8c+16) - \frac{1}{3}(6+3c)

This may look scary, but all you have to do is distribute, first:
(-c+2)-(2+c)

Now it's much easier (remember to distribute the negative):
-c+2-2-c = -2c

So, the entire thing simplifies to -2c. NEAT!
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