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likoan [24]
2 years ago
5

Tell whether the triangle with the given side lengths is a right triangle. Y/N question

Mathematics
1 answer:
melomori [17]2 years ago
8 0

Answer:

Yes it is a right triangle.

Step-by-step explanation:

Because the Pythagorean Theorem states that a^{2} +b^{2} =c^{2}

85^{2}=7225\\84^{2}=7056\\13^{2}=169\\7056+169=7225

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A 100 mL vial of 25% solution is available in stock. An order is recieved for 6 g to be added to 250 mL of fluid for an iv infus
Ne4ueva [31]

9514 1404 393

Answer:

  274 mL

Step-by-step explanation:

Often medical solutions expressed as a percentage are not really a percentage as such. A percentage is the ratio of two quantities with the same units.

Here, the context given by the problem suggests the "25%" solution is really (25 g)/(100 mL). That is, the units are grams and milliliters--different units.

With that assumption, we want to find the volume (v) of solution needed to deliver 6 g of medicine. An appropriate proportion* is ...

  v/(6 g) = (100 mL)/(25 g)

  v = (6 g)(100 mL)/(25 g) = 24 mL

So, the total volume of the infusion is ...

  250 mL +24 mL = 274 mL

_____

* The concentration is given in terms of g/mL, but we have used a proportion that is mL/g. The reason for that is we want the variable to be in the numerator of the ratio. The variable here represents volume, so we have written the proportion with volumes in the numerators.

Having the variable in the numerator means the equation can be solved in one step--by multiplying by its denominator.

3 0
3 years ago
TRUE OR FALSE
Zielflug [23.3K]

Answer:

true

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Kendrick and Rishaun spend a total of $112 at an amusement park. They spend $32 on parking, $12 on lunch, and the rest on 2 admi
Elena-2011 [213]
Each ticket is $34 each
32+12+2x=112
44+2x=112
-44 -44
———————-
2x=68
— —
2 2
x=$34
6 0
3 years ago
Evaluate $\dfrac{2\sqrt{72}}{\sqrt{8}+\sqrt{2}}$.
Pavlova-9 [17]
<h3>Answer:  4</h3>

========================================================

Work Shown:

\frac{2\sqrt{72}}{\sqrt{8}+\sqrt{2}}\\\\\frac{2\sqrt{36*2}}{\sqrt{4*2}+\sqrt{2}}\\\\\frac{2\sqrt{36}*\sqrt{2}}{\sqrt{4}*\sqrt{2}+\sqrt{2}}\\\\\frac{2*6*\sqrt{2}}{2*\sqrt{2}+\sqrt{2}}\\\\\frac{12\sqrt{2}}{2\sqrt{2}+\sqrt{2}}\\\\\frac{12\sqrt{2}}{3\sqrt{2}}\\\\\frac{12}{3}\\\\4

Note in step 2, I factored each number in the square root to pull out the largest perfect square factor. From there, I used the rule that \sqrt{A*B} = \sqrt{A}*\sqrt{B} to break up the roots.

8 0
2 years ago
From the top make it drop that's a _____?
olga nikolaevna [1]

Answer:

January

February

march

April

may

June

jAsOn DeRuLo

3 0
3 years ago
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