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3 years ago

What is the radius of the sector?

Mathematics

1 answer:

Naily [24]3 years ago

8 0

Answer:

5 units

Step-by-step explanation:

The area of a sector is $A=\frac{r^2\theta}{2}$ where $r$ is the radius and $\theta$ is the angle formed:

$A=\frac{r^2\theta}{2}\\\\\frac{75\pi}{16} =\frac{r^2(\frac{3\pi}{8})}{2}\\\\150\pi=16r^2(\frac{3\pi}{8})\\\\150\pi=6\pi r^2\\\\25=r^2\\\\5=r$

Therefore, the radius of the sector is 5 units

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The cheerleading team lines up down the football field to rally the spectators. If there are 12 cheerleaders, which

Elan Coil [88]

Answer:

So they can line up every single 10 yards because there are 120 yards on a football field

Step-by-step explanation:

12 cheerleaders gives you 1 every 10 yards

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3 years ago

What’s the vertical asymptote of the equation f(x)=log3(x-5)

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3 years ago

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4 years ago

What is another name for the set of all x-values from its graph

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3 years ago

Read 2 more answers

I'll give brainliest to whoever answers first and is correct!!

Nina [5.8K]

Answer:

(a) $y=8x+5$

(b) 7 hours.

Step-by-step explanation:

(a) Let x be the number of hours and y is the total cost.

We have been given that Beatrice and her friends charge $8 per hour of babysitting, so the charges for x hours of babysitting will be 8x.

As they also charge a mandatory $5 per day fee for each child for snacks, so the total charges for babysit each day will be charges for x hours of babysitting plus mandatory charge.

We can represent this information in an equation as:

$y=8x+5$

Therefore, the equation $y=8x+5$ represents the total cost of using Beatrice’s babysitting service each day.

(b) To find the number of hours Beatrice babysit the daughter, we will substitute y = 61 in our equation and solve for x.

$61=8x+5$