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yulyashka [42]
3 years ago
10

Absolute Value. 8 pts!!! I'd be so grateful if someone answers. Thanks so much in advance. (#22)

Mathematics
1 answer:
olasank [31]3 years ago
5 0
X has to be a larger valued negative number than y for the equation to be valid.
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Work out the surface area of a cylinder when the height = 18cm and the volume = 1715cm cubed
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Answer:

813.4 cm² (nearest tenth)

Step-by-step explanation:

<u>Volume of a cylinder</u>

\sf V=\pi r^2 h \quad\textsf{(where r is the radius and h is the height)}

Given:

  • h = 18cm
  • V = 1715 cm³

Use the Volume of a Cylinder formula and the given values to find the <u>radius of the cylinder</u>:

\implies \sf 1715=\pi r^2 (18)

\implies \sf r^2=\dfrac{1715}{18 \pi}

\implies \sf r=\sqrt{\dfrac{1715}{18 \pi}

<u>Surface Area of a Cylinder</u>

\sf SA=2 \pi r^2 + 2 \pi r h \quad\textsf{(where r is the radius and h is the height)}

Substitute the given value of h and the found value of r into the formula and solve for SA:

\implies \sf SA=2 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)^2 + 2 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)(18)

\implies \sf SA=2 \pi \left(\dfrac{1715}{18 \pi} \right) + 36 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)

\implies \sf SA=\dfrac{1715}{9} + 36 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)

\implies \sf SA=813.3908956...

Therefore, the surface area of the cylinder is 813.4 cm² (nearest tenth)

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D

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A sandwich store charges $20 to have 3 turkey subs delivered and $26 to have 4 delivered. The total includes the cost of each su
svp [43]

Answer:

cost of each sub = $6, delivery fee = $2

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Let $x be the cost of each sub and $c be the delivery fee

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