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Mekhanik [1.2K]
3 years ago
9

Heather is cashier, she can ring up 12 customers in 9 minutes at this rate how many minutes does it take to ring up 4 customers

Mathematics
1 answer:
stellarik [79]3 years ago
5 0

Answer:

5.2 minutes for 4 costomers.

Step-by-step explanation:

12/9=1.333 (3 repeating)

1.3 x 4 = 5.2

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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
3 years ago
ASAP PLSSS!! <br> Find the slope of the line shown below :
Marta_Voda [28]

Answer:

the slope is 3

Step-by-step explanation:

5 0
2 years ago
The dimensions of a gymnastic floor are 40 ft by 40 ft. the performance floor is 1 ft less, or 39 ft, per side.
Mashutka [201]

Answer:

the square root of 3200

Step-by-step explanation:

I'm not sure if this is right, because the format of the question wasn't clear, but it sounded like we have to find the diagonal distance of the room from one corner to the opposite. If the sides are 40ft long on both sides, we can use the Pythagorean Theorem to solve this:

40^2+40^2=c^2

1600+1600=c^2

3200=c^2

c=sqrt(3200)

or about 56.5

4 0
2 years ago
What does this equation equal?<br> 4-2(-2)=
olga_2 [115]

Answer:

8

Step-by-step explanation:

Pemdas:

4-2(-2)

4+4

8

Hope this helped!

6 0
3 years ago
Simplify 2a+2−3a−5+a−4+7a.
zhuklara [117]

Answer:

7a-7

Step-by-step explanation:

2a+2−3a−5+a−4+7a.

Combine like terms

2a-3a+a+7a+2-5-4

7a-7

3 0
3 years ago
Read 2 more answers
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