All categories

3 years ago

Algebra 2Exponential & Logarithmic Functions

Mathematics

1 answer:

docker41 [41]3 years ago

4 0

Hope this helped you :)

You might be interested in

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.

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

7 0

3 years ago

3. Jason plays basketball for the Tigers, his high school basketball team. He played in 9 games during the season

Vika [28.1K]

Answer:

Step-by-step explanation:

5 0

3 years ago

Which equation represents a line that is parallel to 2x-3y=9

Sever21 [200]

Two lines are parallel if they have the same slope but a different y intercept. A line with the same slope and y int as another one will be the exact same
Slope in standard form is -a/b, so your slope is 2/3 and your y int is -3
For example:
y=2/3x+1

4 0

3 years ago

1. Which expressions are completely factored?

Mumz [18]

All but B, as on B an a can be factored out

8 0

3 years ago

enot [183]

Answer:

D) 4.01 miles

Step-by-step explanation:

2.87 miles from Monday + 1.14 miles =4.01 ran on Tuesday

5 0

3 years ago

Read 2 more answers