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3 years ago

Find the surface area of the following cylinder. Round your answers to the nearest tenth.

Mathematics

1 answer:

Katarina [22]3 years ago

5 0

Answer: 628

Step-by-step explanation:

2πr^2+2πrh

2(3.14)(5)^2+2(3.14)(5)(15)

2(3.14)(25)+2(3.14)(75)

2(78.5)+2(235.5)

157+471

628

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If z is inversely proportional to r, and z= 32 when r=1.5, find r when z=8.

lions [1.4K]

Inversely proportional: z = k/r
k = 32 * 1.5 = 48
Plug that into equation
8 = 48/r
Multiply both sides by r
8r = 48
Divide by 8
r = 6

8 0

2 years ago

Given: AB = DC, AC = DB

oee [108]

Answer:

SSS Postulate

Step-by-step explanation:

AB=CD (Given)

AC=BD (Given)

BC=BC (Given)

So SSS Postulate

Side Side Side postulate

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1 year ago

A rock climber ascends 18 3/4 feet to the top of a rock ledge the climber descends 8 1/8

ratelena [41]

Answer:

10 $10\frac{5}{8}$

Step-by-step

Reduce $\frac{3}{4}$ to $\frac{6}{8}$ and simply subtract.

5 0

2 years ago

Solve <br>In 2x + In 2=0

irakobra [83]

Solving $ln(2x)+ln(2)=0$ we get, $x=\frac{1}{4}$

Step-by-step explanation:

We need to solve: $ln(2x)+ln(2)=0$

Solving:

$ln(2x)+ln(2)=0$

Adding -ln(2) on both sides:

$ln(2x)+ln(2)-ln(2)=0-ln(2)$

$ln(2x)=-ln(2)$

Using logarithmic rule: if $log_a b =c\,\,then\,\, b=a^c$

So,

$2x=e^{-ln(2)}$

Simplifying:

$2x=(e^{ln(2)})^{-1}\\e^{ln(2)}=2\\2x=(2)^{-1}\\2x=\frac{1}{2} \\x=\frac{1}{2x2}\\x=\frac{1}{4}$

So, Solving $ln(2x)+ln(2)=0$ we get, $x=\frac{1}{4}$

Keywords: Logarithms

Learn more about Logarithms at:

#learnwithBrainly

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3 years ago

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2 years ago