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alexandr1967 [171]
3 years ago
14

Steve earns $0.58 for each unit of work. one week he produced 532 units. how much did he earn that week?

Mathematics
2 answers:
masya89 [10]3 years ago
6 0
He earned $308.56. Because 532 times $.58 equals $308.56
anastassius [24]3 years ago
4 0

Answer:

That week, Steve earned $308.56.

Step-by-step explanation:

If Steve earns $0.58 for each unit of work, and he produced 532 in one week, in order to know the total amount of money he earned that week we have to do the following calculation:

532 (the total production) x 0.58 (the individual value of each unit) = X (the money he earned that week)

532 x 0.58 = 308.56

So, as this calculation shows, Steve earned $308.56 that week.

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3 years ago
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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Answer:

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Step-by-step explanation:

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