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1 year ago

PLEASE HELP ASAPPPPP

Mathematics

1 answer:

sveticcg [70]1 year ago

4 0

Answer:

506.7 cm²

Step-by-step explanation:

The amount of cardboard needed would be the surface area of the cone,

S= pi(r)(l+r) where r is the radius and l is the slant height.

You can find l using the Pythagorean theorem. l²=r²+h² which is l²=6²+20² and you get l = √436.

Plug r and l into the equation: S = 6pi(√436 + 6) = 506.7 cm²

Let me know if you have any questions about my steps!

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Which ordered pairs are solutions to the inequality 2x+y>−4?

hichkok12 [17]

we will proceed to resolve each case to determine the solution

we have

$2x+y>-4$

$y>-2x-4$

we know that

If an ordered pair is the solution of the inequality, then it must satisfy the inequality.

case a) $(5,-12)$

Substitute the value of x and y in the inequality

$-12>-2*5-4$

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therefore

the ordered pair $(5,-12)$ is a solution of the inequality

case b) $(-3,0)$

Substitute the value of x and y in the inequality

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$0>2$ ------> is False

therefore

the ordered pair $(-3,0)$ is not a solution of the inequality

case c) $(-1,-1)$

Substitute the value of x and y in the inequality

$-1>-2*-1-4$

$-1>-2$ ------> is True

therefore

the ordered pair $(-1,-1)$ is a solution of the inequality

case d) $(0,1)$

Substitute the value of x and y in the inequality

$1>-2*0-4$

$1>-4$ ------> is True

therefore

the ordered pair $(0,1)$ is a solution of the inequality

case e) $(4,-12)$

Substitute the value of x and y in the inequality

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therefore

the ordered pair $(4,-12)$ is not a solution of the inequality

Verify

using a graphing tool

see the attached figure

the solution is the shaded area above the line

The points A,C, and D lies on the shaded area, therefore the ordered pairs A,C, and D are solution of the inequality

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3 years ago

Read 2 more answers

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When rounding to a whole number, the digits following the decimal decide what number it rounds to. If it is 0-4 it rounds to whatever the whole number currently is E.G.

8.1 would round to 8

But if its 5-9 it rounds to one above, like in our current case.

8.5 rounds to 9.

42.414 rounds to 42.

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3 years ago

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