For a cone, if the radius was quadrupled and the slant height was reduced to 1/6 of its original size what would be the formula to find the modified surface area.

Answers

Answer 1

Answer: Let $r$ be the radius of the cone's base and $\ell$ the slant height.

The surface area of a cone is

$A=\pi r^2+\pi r\ell$

If the radius is quadrupled ( $r\to4r$ ) and the slant height scaled by a factor of $\frac16$ , then the new area is

$A=\pi(4r)^2+\pi (4r)\left(\frac\ell6\right)$
$A=16\pi r^2+\frac23\pi r\ell$

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Calculate the total cost of an item bought at a negotiated price of $15,640 and a $2,500 trade-in allowance. The sales tax is 7.2 with a $106 registration fee.$13,160
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Answers

15,640 * 7.2% = 1,126.80 Sales tax

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a machine worked for 5 hours and used 4 kilowatts of electricity. the machine used____of a kilowatt each hour it worked

Answers

The question is meaningless. It uses "kilowatt" completely incorrectly.

"Watt" and "kilowatt" are rates at which energy is used, NOT
amounts of energy.

The question is a lot like saying that a car traveled for 5 hours at
4 miles per hour, so how many miles per hour did it travel each
hour it drove ?

======================================

If a machine used energy at the rate of 4 kilowatts when it's
running, then it uses 4 kilowatt-hours of energy during every
hour that it runs.

If it runs for 5 hours, then it uses

(4 kilowatts x 5 hours) = 20 kilowatt-hours

of energy during that time.

(x³-9x)/(x²-2x-3) is equal to

Answers

Answer:

Step-by-step explanation:

(HELP!!!!!!)the diagram shows the dimensions of the pool cover for a hotel pool

Answers

Step-by-step explanation:

16.5 add all then divide

Functions f(x) and g(x) are shown below:f(x) = x2
g(x) = x2 − 8x + 16

In which direction and by how many units should f(x) be shifted to obtain g(x)?

Left by 4 units
Right by 4 units
Left by 8 units
Right by 8 units