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3 years ago

Pls pls pls help!!!!!!

Mathematics

1 answer:

gtnhenbr [62]3 years ago

5 0

9514 1404 393

Answer:

ornament area = 379.8 cm²
paint needed: 114 bottles

Step-by-step explanation:

The surface area of one cone with slant height s and radius r is ...

SA = πr² +πrs = πr(r+s)

For the cone that is half an ornament, the surface area is ...

SA = (3.14)(4.2 cm)(4.2 cm + 10.2 cm) = 189.9072 cm²

The area of one ornament is the area of two cones:

one ornament area = 2×189.9072 cm² ≈ 379.8 cm²

60 ornaments will be 120 cones, so will have a total surface area of ...

total area = 120(189.9072 cm²) = 22,788.864 cm²

If one bottle of paint will cover 201 cm², then the number of bottles of paint required is ...

(22788.864 cm²)/(201 cm²/bottle) ≈ 113.4 bottles

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Write the equation of the line that passes through the points (7,-6) and (0,2). Put

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Answer:

$y+6=\frac{-8}{7} (x-7)$

Step-by-step explanation:

To find the slope of the equation use $\frac{y_2-y_1}{x_2-x_1}$ .

So, $\frac{-6-2}{7-0}$ = $\frac{-8}{7}$ . Now we can use our slope and any of the two points to write in point-slope form, which is $y-y_1=m(x-x_1)$ . Using the point (7,-6), the formula will give $y+6=\frac{-8}{7} (x-7)$ .

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3 years ago

564000 in scientific notation

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A software designer is mapping the streets for a new racing game. all of the streets are depicted as either perpendicular or par

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The equation of the central street PQ is -1.5x - 3.5y = -31.5 option (b) is correct.

<h3>What is a straight line?</h3>

A straight line is a combination of endless points joined on both sides of the point.

We have a straight line:

$-7x+3y=-21.5$

Convert it to the general form given below:

$\rm y=mx+c$

$\rm 3y=-21.5+7x\\\\ \rm y = \frac{-21.5}{3}+\frac{7}{3}x$ or

$\rm y = \frac{7}{3}x-\frac{21.5}{3}$

$m = \frac{7}{3}$ (Slope of AB line)

For the slope(m') of the PQ line:

$\rm m'=-\frac{1}{m}$ ( because AB and PQ are perpendicular to each other)

$\rm m' = -\frac{3}{7}$

We know the:

$\rm (y-y')=m'(x-x')$

Where (x', y') = (7, 6), we get:

$\rm (y-6)=-\frac{3}{7} (x-7)$

$\rm 7(y-6)=-3 (x-7)\\\\\rm 7y-42= -3x+21\\\\\rm 7y= -3x+21+42\\\\\rm 3x+7y=63$

$\rm -1.5x-3.5y=-31.5$ (multiply by -1/2 on both sides)

Thus, the equation of the central street PQ is -1.5x - 3.5y = -31.5

Learn more about the straight line.

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