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Alexxx [7]
2 years ago
11

A triangle has legs of 5cm and 6cm. How long is its hypotenuse? Round to the nearest tenth!

Mathematics
2 answers:
luda_lava [24]2 years ago
7 0
To solve this you use the pythagorean’s theorem which states that a^2 plus b^2 = c^2.
c being the hypotenuse
and a and b being the legs of the triangle
so in this example a is 5 and b is 6
so we ca. plug it in to the equation and we get : 5^2 plus 6^2 equals c^2
which further simplifies to 25 plus 36 = c^2
then add 25 and 36:
61 = c^2
then find the square root of both sides to get the variable (c) alone
square root of 61 = square root of c
which is 7.81 = c
that’s in decimal form
however since it’s says round to the tenth we can round the answer to get 7.8
therefore your final answer is 7.8
the hypotenuse is 7.8
hope this helped!
let me know if you have any questions
Leno4ka [110]2 years ago
4 0

Answer:

I KNOW YOU ARE POKEMMON GO GIVE ME VBUX KID 1V1 ME

Step-by-step explanation:

YOU WONT KID

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3 years ago
You need 660 mL of a 40% alcohol solution. On hand, you have 35% alcohol mixture. You also have a 95% alcohol mixture. How much
ozzi

Answer:

A. 605 mL of the 35% solution

B. 55 mL of the 95% solution

Step-by-step explanation:

It is given that, you need 660 mL of a 40% alcohol solution. On hand, you have 35% alcohol mixture. You also have a 95% alcohol mixture.

Let x and y be the amount of 35% alcohol solution and 95% alcohol solution (in mL) respectively.

So,

Amount equation: x+y=660        ...(1)

Alcohol equation : 0.35x+0.95y=0.40(660)\Rightarrow 0.35x+0.95y=264     ...(2)

On solving (1) and (2), we get

0.35(660-y)+0.95y=264

231-0.35y+0.95y=264

0.6y=264-231

y=\dfrac{33}{0.6}

y=55

Now, substitute y=55 in (1).

x+55=660  

x=660-55  

x=605  

Therefore, we need 605 mL of the 35% solution  and 55 mL of the 95% solution.

4 0
3 years ago
Simplify the following expression to simplest form using only positive exponents.
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Answer:

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Step-by-step explanation:

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7 0
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Answer:

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Step-by-step explanation:

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Each day, the account value is multiplied by (1 + 0.03/365), so at the end of the year the value is multiplied by about

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... 1.03045326 / 1.06 ≈ 0.9721 . . . items

That is, the loss of purchasing power is about ...

... 1 - 0.9721 = 2.79%

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If the account value is $200,000 at the beginning of the year in question, then the purchasing power <em>normalized to what it was at the beginning of the year</em> is now $194,425.14, about $5,574.85 less.

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