Answer: 17/24
Step-by-step explanation: Notice that 1/8 and 7/12 are unlike fractions. Our first step when adding unlike fractions is to get a common denominator.
The common denominator of 8 and 12 will be the least common multiple of 8 and 12 which is 24. To get a 24 in the denominator of 1/8, we multiply the numerator and the denominator by 3 which gives us 3/24. To get a 24 in the denominator of 7/12, we multiply the numerator and the denominator by 2 which gives us 14/24. Now we're adding like fractions.
3/24 + 14/24
To add like fractions or fractions that have the same denominator, simply add the numerators and keep the original denominator.
So here, if we add the numerators we have 3 + 14 which gives us 17. We put this over our original denominator which is 24. So we have 17/24.
So 1/8 + 7/12 is 17/24.
The answer to your question is 22
Answer:
The length of the short side is 14.5 units, the length of the other short side is 18.5 units, and the length of the longest side is 23.5 units.
Step-by-step explanation:
The Pythagorean Theorem
<em>
If a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, then the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.
</em>
This relationship is represented by the formula:
Applying the Pythagorean Theorem to find the lengths of the three sides we get:
Solve with the quadratic formula
Because a length can only be positive, the only solution is
The length of the short side is 14.5, the length of the other short side is 
, and the length of the longest side is 
.
Answer:
h = 6.7
Step-by-step explanation:
sin(48) = 5/h
so
h = 5 / sin(48)
h = 5 / 0.7431
h = 6.7
Answer:
1/10
Step-by-step explanation:
1/5 * 1/2 = 1/10
