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2 years ago

Find the slope of the line.

Mathematics

2 answers:

sammy [17]2 years ago

5 0

Answer:

(-3,1) and (-1,3)

brilliants [131]2 years ago

3 0

(-3,1) & (-1,3) is the answer to this equation

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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.

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

7 0

2 years ago

Pamella late for school 10% of time. Richard late for 15% of the time.

andrey2020 [161]

Answer:

a) 25%

10%+15% = 25%

b) doesn't have any idea

6 0

2 years ago

4. Jan bought donuts for $6.75. Each bagel cost<br> $0.75. How many bagels did she buy?

Nataly_w [17]

Answer:

9 bagels

Step-by-step explanation:

Divide the price ($6.75) by the price of one bagel ($0.75) to get the amount of bagels Jan bought. (9)

6 0

2 years ago

Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary.

Leya [2.2K]

Yo its 105-12+19=360 when you do this

6 0

3 years ago

In Ryan coorporation the first shift produced 5 1/2 times as many lightbulbs as the second shift. if the total lightul.bs produc

dimaraw [331]

Answer:

first shift: 13,750 bulbs
second shift: 2500 bulbs

Step-by-step explanation:

The production ratio is ...

shift 1 : shift 2 = 5.5 : 1 = 11 : 2

so, the production on shift 1 as a ratio to the total is ...

shift 1 : total = 11 : (11+2) = 11 : 13

The first shift produced ...

(11/13)(16,250 bulbs) = 13,750 bulbs . . . . first shift

and the second shift produced ...

(2/13)(16,250 bulbs) = 2,500 bulbs . . . . second shift

_____

Of course, once you have one of the numbers, you can also find the other by using the 5.5 factor or by subtracting from total production.

3 0

3 years ago