Knowing that you use 245 kwh from 7 a. m. – 7 p. m. and 165 kwh from 7 p. m. – 7 a. m., answer the follow question using the chart below.

constant usage $0.05324/kwh
daytimer (most usage between 7 a. m. – 7 p. m.)

as long as most power used is 7 a. m. – 7 p. m., then you receive a 20% discount on power usage 7 p. m. – 7 a. m.

$0.05456/kwh
nighttimer (most usage between 7 p. m. – 7 a. m.)

if more than 50% of power usage is outside of 7 p. m. – 7 a. m., then you have to pay the daytimer rate for all power used 7 a. m. – 7 p. m.

$0.05281/kwh

how much would you have paid on the constant usage plan?

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

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step-by-step explanation: