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3 years ago

14

A group of friends were working on a student film. They spent $712 on costumes, which was 89% of their total budget. What was th

e total budget for their student film?

1 answer:

Anna11 [10]3 years ago

8 0

Answer:

800

Step-by-step explanation:

you divide 712 by .89

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The area of the sector formed by the 110 degree central angle is 50 units squared. What is the circumference of the circle

Mama L [17]

Answer:

The circumference of the circle is $C=45.346 \:units$ .

Step-by-step explanation:

A sector is the part of a circle enclosed by two radii of a circle and their intercepted arc. A pie-shaped part of a circle.

The area of a circle is given by $A_{circle}=\pi r^2$

The formula used to calculate the area of a sector of a circle is:

$A_{sector}=\frac{central \:angle}{360} \cdot {Area \:of \:whole \:circle}\\\\A_{sector}=\frac{\theta}{360} \cdot \pi r^2$

The circumference of a circle is the distance around the outside of the circle and its given by

$C=2\pi r$

We know the central angle $\theta$ = 110º and the area of the sector 50 units squared.

First, we use the formula to calculate the area of a sector to find the radius.

$50=\frac{110}{360} \cdot \pi r^2\\\\\frac{110}{360}\pi r^2=50\\\\\frac{11\pi }{36}r^2=50\\\\11\pi r^2=1800\\\\r^2=\frac{1800}{11\pi }\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\r=\sqrt{\frac{1800}{11\pi }},\:r=-\sqrt{\frac{1800}{11\pi }}$

The radius can't be negative. Therefore,

$r=\sqrt{\frac{1800}{11\pi }}\approx 7.217 \:units$

Next, we apply the formula for the circumference of a circle.

$C=2\pi (7.217)=45.346 \:units$

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3 years ago

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Lisa [10]

Answer:

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Step-by-step explanation:

;b

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2 years ago

Estimate each product.Then write whether the estimate is greater than or less than the actual product.There are 62 rows of 9 cha

Westkost [7]

That is 62x9 which is 9x2=18 and 9x60=540 so you then add 540+18=558 chairs

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3 years ago

What is the value of y?<br> A. 55°<br> B. 850<br> C. 10°<br> D. 110°

GaryK [48]

I may not know I am sorry ma’am for your math problem is to hard

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3 years ago

Do I divide or multiple...

Georgia [21]

Answer:

The height is 6 - you will need to divide.

Step-by-step explanation:

volume = base times height

10 times height = 60

divide both sides by 10

height = 60/10

height = 6

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3 years ago