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3 years ago

What is the surface area of the right cone below?

Mathematics

1 answer:

maksim [4K]3 years ago

6 0

Answer:

$SA=54\pi\ units^2$

Step-by-step explanation:

we know that

The surface area of the cone is given by the formula

$SA=\pi r^{2}+\pi rl$

where

r is the radius of the base

l is the slant height

we have

$r=3\ units\\l=15\ units$

substitute

$SA=\pi (3)^{2}+\pi (3)(15)$

$SA=54\pi\ units^2$

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Find an exponential function that passes through each pair of points. (2,1.75) & (-2,28)

dusya [7]

Answer:

$f(x) = 7\, ((1/2)^{x})$ .

Step-by-step explanation:

An exponential function is typically in the form $f(x) = a\, (b^{x})$ , where $a$ and $b$ ( $b > 0$ ) are constants to be found.

In this question:

$f(2) = 1.75$ means that $a\, (b^{2}) = 1.75$ .

$f(-2) = 28$ means that $a\, (b^{-2}) = 28$ .

Divide one of the two equations by the other to eliminate $a$ and solve for $b$ .

The number of the right-hand side of the second equation is larger than that of the first equation. Hence, divide the second equation with the first:

$\displaystyle \frac{a\, (b^{-2})}{a\, (b^{2})} = \frac{28}{1.75}$ .

$\displaystyle b^{-4} = 16$ .

$b^{-1} = 2$ .

$\displaystyle b = \frac{1}{2}$ .

Substitute $b = (1/2)$ back into either equation (for example, the first equation) and solve for $a$ :

$a\, ((1/2)^{2}) = 1.75$ .

$a = 7$ .

Substitute $a = 7$ and $b = (1/2)$ into the other equation. That equation should also be satisfied.

Therefore, this function would be:

$f = 7\, ((1 / 2)^{x})$ .

8 0

2 years ago

Round 3184.5641 to two decimal places

stepladder [879]

The answer is 3184.56

3 0

3 years ago

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Can somebody please help me?

victus00 [196]

Answer:

Step-by-step explanation:

7 0

3 years ago

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Which expression is equivalent to-6(-2/3+2x) A.-4-12x B.- 4+2x C. 4-12x D. 4 + 12x

irakobra [83]

Answer:

4-12x

Step-by-step explanation:

-6(-2/3 + 2x)

Expand the bracket

12/3 - 12x

4 - 12x

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3 years ago

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A gardener buys a rake and a pair of gloves for each of the 12 volunteers in the gardening club. Each pair of gloves

matrenka [14]

Let unit cost of one rake be : r

Given : Total number of volunteers = 12

Given : Each pair of gloves cost $8.00

⇒ Cost of 12 pair of gloves for 12 volunteers = (12 × 8) = $96

Given : The gardener spends a total of $300 on both rakes and gloves

⇒ Cost of 12 rakes + Cost of 12 pair of gloves = $300

⇒ 12r + 96 = 300

⇒ 12r = 204

⇒ r = 17

Answer : Cost of one rake is $17

4 0

3 years ago