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AnnyKZ [126]
3 years ago
14

Can a 14 inch umbrella fit inside a suitcase that has dimensions of 9" x 12"? Explain.

Mathematics
2 answers:
inessss [21]3 years ago
5 0
Yes. The umbrella is smaller than the suitcase. The suitcase is 81'^2, but the umbrella is 14
MrRa [10]3 years ago
4 0
I will assume that when you say 14", you are referring to the diameter of the open umbrella.
When an umbrella is folded down, really the only dimension we need to figure out is the distance from top to bottom - which, when spread open, is the same distance as the radius.
To find the radius: 14 divided by 2 = 7.
No matter which way you turn the umbrella - vertical, horizontal, or diagonal, 7 is smaller than 9 or 12. So yes, you can fit the umbrella in the suitcase when it is closed.
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4 0
3 years ago
Simplify sqrt72 -3sqrt12 + sqrt 192
vovikov84 [41]

Answer:

6\sqrt{2}+2{\sqrt3}

Step-by-step explanation:

Given expression:

\sqrt{72}-3\sqrt{12}+\sqrt{192}

Rewrite 72 as (36 · 2), 12 as (4 · 3), and 192 as (64 · 3):

\implies \sqrt{36 \cdot 2}-3\sqrt{4 \cdot 3}+\sqrt{64 \cdot 3}

Apply the radical rule  \sqrt{a \cdot b}=\sqrt{a}\sqrt{b} :

\implies \sqrt{36}\sqrt{2}-3\sqrt{4}\sqrt{3}+\sqrt{64}{\sqrt3}

Rewrite 36 as 6², 4 as 2², and 64 as 8²:

\implies \sqrt{6^2}\sqrt{2}-3\sqrt{2^2}\sqrt{3}+\sqrt{8^2}{\sqrt3}

Apply the radical rule  \sqrt{a^2}=a :

\implies 6\sqrt{2}-3\cdot 2\sqrt{3}+8{\sqrt3}

Simplify:

\implies 6\sqrt{2}-6\sqrt{3}+8{\sqrt3}

\implies 6\sqrt{2}+2{\sqrt3}

8 0
2 years ago
Read 2 more answers
20 - 9w = 4(15 - w) solve for w​
posledela

Answer:

w = -8

Step-by-step explanation:

  step 1:(20 - 9w) -  4 • (15 - w)  = 0

step 2:   -5w - 40  =   -5 • (w + 8)

 step 3:   -5 • (w + 8)  = 0

 step 4:  Subtract  8  from both sides of the equation :

                     w = -8

8 0
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3 years ago
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