Juan pays a one-time fee of $30.

Mathematics

1 answer:

Nastasia [14]2 years ago

3 0

Answer:

Step-by-step explanation:

A. c=30+45(h)

B. 30+45(6.5)= 30+292.50= 322.50

He pays a set rate of $30.00. He also pays a charge of $45 an hour for work. The electrician worked 6.5 hours. Take the 45 and multiply that by the 6.5 hours to get $292.50. Take that charge and add the set fee of $30. You get a total of $322.50 he will pay for the electrician.

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Answer:

Step-by-step explanation:

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Step2247 [10]

Answer:

$A = 297\pi$

Step-by-step explanation:

To solve this problem we need to be familiar with the formula for the surface area of a cone:

$A = \pi r(r + \sqrt{h^2+r^2})$

We are given the length of a side and the diameter, to calculate the radius divide the diameter in half:

$r = \frac{d}{2}\\r = \frac{18}{2}\\r = 9 cm$

To calculate the height of the cone, we must use the Pythagorean Theorem:

$C^2 = A^2 + B^2$

We can treat the side length as the hypotenuse $C$ , the radius as the base $A$ , and solve for height $B$ . Set the expression up like this:

$C^2 = A^2 + B^2\\24^2 = 9^2 + B^2\\B^2 = 24^2 - 9^2\\B = \sqrt{24^2 - 9^2}\\B = \sqrt{576 - 81}\\B = \sqrt{495}\\B \approx 22.25$

Now we can plug into our original formula:

$A = \pi r(r + \sqrt{h^2+r^2})\\A = \pi 9(9+\sqrt{\sqrt{495}^2+9^2}\\A = \pi 9(9+\sqrt{495 + 81}\\A = \pi 9(9+\sqrt{576})\\A = \pi 9(9 + 24)\\A = \pi 9(33)\\A = 297\pi$