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3 years ago

Point M is on line segment LN . given LM = 5 and LN = 12, determine the lenght MN

Mathematics

1 answer:

katen-ka-za [31]3 years ago

5 0

<h3>Answer: MN = 7</h3>

Explanation:

LM + MN = LN by the segment addition postulate. This says we can break up a segment into smaller pieces, and have those pieces add back up to the original length.

Plug LM = 5 and LN = 12 into the equation and isolate MN to get

LM + MN = LN

5 + MN = 12

MN = 12-5

MN = 7

See the diagram below.

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You are mowing a lawn. After 12 minutes, 52% of the lawn still needs mowed. How long does it take to mow the entire lawn? Write

aleksley [76]

12/x = 52/48
12 * 48 = 52x
x = 11.07 This is one way to do it.

Let the time = x
Let the part of the lawn = y

The general equation
y = k*x
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k = 0.043333
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y = 0.043333* 11.08
y = 0.48 which is what it should be.

Yet another way is to let y = kx
52 = k*12
k = 52/12
k = 4.33333333

y = 4.333333 * x
y = 4.333333 * 48
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3 years ago

A sphere has a volume of Vequals=3600 in cubedin3. Find its surface area.

Mice21 [21]

$\bf \textit{volume of a sphere}\\\\
V=\cfrac{4}{3}\pi r^3\qquad 
\begin{cases}
r=radius\\
------\\
V=3600
\end{cases}\implies 3600=\cfrac{4}{3}\pi r^3
\\\\\\
3600=\cfrac{4\pi r^3}{3}\implies \sqrt[3]{\cfrac{3\cdot 3600}{4\pi }}=\boxed{r}\\\\
-----------------------------\\\\
\textit{surface area of a sphere}\\\\
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You have an initial amount of $55 in a savings account and you deposit an equal amount into your account each week. After 6 week

bonufazy [111]

Given:
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total deposit = 105
w = weekly deposit
x = no. of weeks = 5 weeks
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45 + 5w = 105
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w = 60/5
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y = $45 + $12x
<span>x = (y - 45)/12

</span>To check:
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y = 45 + 60
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x = (105-45)/12
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How do you solve this math problem-2(x+3y)=18

ss7ja [257]

Greetings!

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3 years ago