Answer:
6,8,10 is the pythagoran triplet
For this case we convert the mixed numbers to fractions:
![4 \frac {1} {2} = \frac {2 * 4 + 1} {2} = \frac {9} {2}\\2 \frac {3} {4} = \frac {4 * 2 + 3} {4} = \frac {11} {4}](https://tex.z-dn.net/?f=4%20%5Cfrac%20%7B1%7D%20%7B2%7D%20%3D%20%5Cfrac%20%7B2%20%2A%204%20%2B%201%7D%20%7B2%7D%20%3D%20%5Cfrac%20%7B9%7D%20%7B2%7D%5C%5C2%20%5Cfrac%20%7B3%7D%20%7B4%7D%20%3D%20%5Cfrac%20%7B4%20%2A%202%20%2B%203%7D%20%7B4%7D%20%3D%20%5Cfrac%20%7B11%7D%20%7B4%7D)
Now we add the fractions:
![\frac{9} {2}+1+ \frac {11} {4} + \frac {1} {8} =](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%20%7B2%7D%2B1%2B%20%5Cfrac%20%7B11%7D%20%7B4%7D%20%2B%20%5Cfrac%20%7B1%7D%20%7B8%7D%20%3D)
We find the least common multiple of the denominators. The l.c.m is 8, then we divide by each denominator and multiply the result by each numerator.
![\frac {36 + 8 + 22 + 1} {8} =\\\frac {67} {8} =](https://tex.z-dn.net/?f=%5Cfrac%20%7B36%20%2B%208%20%2B%2022%20%2B%201%7D%20%7B8%7D%20%3D%5C%5C%5Cfrac%20%7B67%7D%20%7B8%7D%20%3D)
8,375
Thus, the punch recipe implies 8.375 gallons. If we convert to a mixed number we have:
gallons
Answer:
gallons
Answer: try multiplication for the answer or use photomath
Step-by-step explanation:
Answer:
x = 40.7057°
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Trigonometry</u>
- [Right Triangle Only] sin∅ = opposite over hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
We have a right triangle. We can use trig to find the angle.
<u>Step 2: Identify Variables</u>
Angle = <em>x</em>
Opposite = 15
Hypotenuse = 23
<u>Step 3: Find Angle </u><em><u>x</u></em>
- Substitute: sinx° = 15/23
- Inverse: x° = sin⁻¹(15/23)
- Evaluate: x = 40.7057°
6.93 should be your correct answer