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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?

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>

Kobotan [32]

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

Darya [45]

Answer:

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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The slope intercept form of the equation of a line that passes through point (-3, 8) is

Nonamiya [84]

Answer:

24

Step-by-step explanation:

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