All categories

4 years ago

What is the length of the hypotenuse x if (12,35,x) is a Pythagorean triple

Chemistry

2 answers:

Triss [41]4 years ago

8 0

I think the length of the hypotenuse is 37

LUCKY_DIMON [66]4 years ago

7 0

Pythagorean Theorem: a^2 + b^2 = c^2, where c is the hypotenuse.

If x is the hypotenuse, you'd set it up like this:

12^2 + 35^2 = x^2
144 + 1225 = x^2
1369 = x^2
37 = x

The length of the hypotenuse is 37.

Hope this helps.

You might be interested in

Fill in the blanks and balance with the correct coefficient

MrRissso [65]

$\huge\mathrm{ \underline{Answer}}࿐$

The Balanced equation will be :

$\mathrm{ \boxed2Fe + \boxed3Cl_2 \rightarrow \boxed2FeCl_3}$

The Coefficients are :

$Fe - 2$

$Cl_2 - 3$

$FeCl_3 - 2$

_____________________________

$\mathrm{ \#TeeNForeveR}$

4 0

3 years ago

How many liters of oxygen are required to react completely with 14.8 mol of Al?

Bond [772]

Answer:

296 L

Explanation:

We will need a balanced equation with moles, so let's gather all the information in one place.

4Al + 3O₂ ⟶ 2Al₂O₃

n/mol: 17.4

1. Moles of O₂

$n = \text{17.4 mol Al}\times \dfrac{\text{3 mol O}_{2}}{\text{4 mol Al}}= \text{13.05 mol O}_{2}$

2. Volume of O₂

You haven't given the conditions at which the volume is measured, so I assume it is at STP (0 °C and 1 bar).

At STP the molar volume of a gas is 22.71 L.

$V = \text{13.05 mol}\times \dfrac{\text{22.71 L}}{\text{1 mol }}= \textbf{296 L}$

8 0

3 years ago

Heat is which of the following???

Sergeu [11.5K]

A measure of thermal energy transferred between two different bodies at different temperatures would be the correct answer. So, the third option.

5 0

4 years ago

Amoxicillin Suspension 125 mg/ 5 ml is 125 mg of Amoxicillin per 5 ml of suspension is an example of weight to ________.

kkurt [141]

Answer : Amoxicillin Suspension 125 mg/ 5 ml is 125 mg of Amoxicillin per 5 ml of suspension is an example of weight to volume.

Explanation :

Weight by volume (w/v) means that the mass of solute present in 100 mL volume of solution.

Weight by weight (w/w) means that the mass of solute present in 100 gram of solution.

Volume by volume (v/v) means that the volume of solute present in 100 mL volume of solution.

As per question, amoxicillin suspension is, 125 mg/ 5 ml that means 125 mg of Amoxicillin present in 5 mL of suspension. So, it is an example of weight to volume.

Hence, it is an example of weight to volume.

8 0

4 years ago

If 3.289 x 10^23 atoms of potassium react with excess water, how many grams of hydrogen gas would be produced?

GarryVolchara [31]

Answer:

The amount in grams of hydrogen gas produced is 0.551 grams

Explanation:

The parameters given are;

Number of atoms of potassium, aₙ = 3.289 × 10²³ atoms

Chemical equation for the reaction is given as follows;

2K + 2H₂O $\rightarrow$ KOH + H₂

Avogadro's number, $N_A$ , regarding the number of molecules or atom per mole is given s follows;

$N_A$ = 6.02 × 10²³ atoms/mole

Therefore;

The number of moles of potassium present = 3.289 × 10²³/(6.02 × 10²³) = 0.546 moles

2 moles of potassium produces one mole of hydrogen gas, therefore;

1 moles of potassium produces 1/2 mole of hydrogen gas, and 0.546 moles of potassium will produce 0.546/2 moles of hydrogen which is 0.273 moles of hydrogen gas

The molar mass of hydrogen gas = 2.016 grams

Therefore, 0.273 moles will have a mass of 0.273×2.016 = 0.551 grams.

The amount in grams of hydrogen gas produced = 0.551 grams.

8 0

3 years ago