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3 years ago

Identify the surface area of the composite figure in terms of π.

Mathematics

1 answer:

Katena32 [7]3 years ago

7 0

Answer:

78π m²

Step-by-step explanation:

The lateral area of the cylinder is ...

LA = 2πrh

LA = 2π(3 m)(8 m) = 48π m²

The lateral area of one cone is ...

LA = πrh . . . . where h is the slant height

LA = π(3 m)(5 m) = 15π m²

Then the total surface area of the figure is the area of the two cones plus that of the cylinder:

S = 2(cone area) + cylinder area

S = 2(15π m²) +(48π m²)

S = 78π m²

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Step-by-step explanation:

This data set is 0,1,2,2,3. Thus, you can calculate the mean by doing (0+1+2+2+3)/5=1.6

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The equation tan(55) = 15/b can be used to find the length of line AC.what is the length of line AC round to the nearest 10th 3.

Nadusha1986 [10]

Answer:

10.5 in

Step-by-step explanation:

Given

$tan(55) = \frac{15}{b}$

Required

Find length AC

The question is not detailed enough; so, I'll assume that b represents line AC.

Having said that;

We start by multiplying both sides by b

$tan(55) = \frac{15}{b}$

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Divide both sides by tan(55)

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Find tan(55)

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$b = 10.5031130731$

$b = 10.5$ <em>(Approximated)</em>

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Step-by-step explanation:

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3 years ago

(½) (6x + 3) = 7 – (3x + 1)

erastovalidia [21]

$\tt Step-by-step~explanation:$

To solve for x, we have to remember to isolate the variable.

$\tt Step~1:$

For 1/2, we can make that 0.5, since their values are equivalent. Our equation:

$\tt (0.5)(6x+3)=7-(3x+1)$

Let's distribute the 0.5 first.

$\tt 0.5*6x=3x\\0.5*3=1.5$

$\tt Step~2:$

Now, let's simplify the right side of the equation. We have to distribute the negative to 3x and 1.

$\tt -1*3x=-3x\\-1*1=-1$

Then, we simplify the entire expression.

$\tt 7-3x-1=-3x+6$

$\tt Step~3:$

Our equation now:

$\tt 3x+1.5=-3x+6$

Let's add 3x to the right and 3x to the left to simplify the -3x on the right side of the equation.

$\tt 3x(+3x)+1.5=-3x (3x)+6\\6x+1.5=6$

$\tt Step~4:$

Let's do the same thing we did in Step 3 to 1.5. Subtract 1.5 on both sides of the equation.

$\tt 6x+1.5(-1.5)=6(-1.5)\\6x=4.5$

$\tt Step~5:$

Finally, we divide both sides by 6 to isolate x.

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$\large\boxed{\tt Our~final~answer:~x=0.75~(or~\frac{3}{4})}$

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SOVA2 [1]

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Step-by-step explanation:

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