Answer:
26 sq in.
Step-by-step explanation:
Let x = measure of one acute angle
3x - 2 = measure of other acute angle
Since the triangle is a right triangle, the sum of the measures of the acute angles is 90
x + 3x - 2 = 90
4x - 2 = 90
4x = 92
x = 23
90 - 23 = 67
The acute angles are 23° and 67°
Now, let a = length of side opposite the 23° angle
sin 23 = a/12
a = 12 sin 23
Let b = length of the side opposite the 67° angle
sin 67 = b/12
b = 12 sin 67
Area = 1/2ab = 1/2(12 sin 23°)(12 sin 67°)
= 25.90
26 sq in to the nearest inch
Wow! That is quite the problem.
Answer:
4/3 (= 1 1/3)
Step-by-step explanation:
2/3 - (-2/3)
= 2/3 + 2/3
= (2+2) / 3
= 4/3
= 1 1/3
Answer:
-14+77=63
21-82=-61
|-61|=61
So 63-61=2
Step-by-step explanation:
Answer:
660
Step-by-step explanation:
First, let's find the prime factorization for both numbers.
132 = 11 x 12
12 = 3 x 4
4 = 2 x 2
<u>132 = 2 x 2 x 3 x 11</u>
60 = 5 x 12
12 = 3 x 4
4 = 2 x 2
<u>60 = 2 x 2 x 3 x 5</u>
Now, to find the lowest common multiple, we just need to multiply each number the most times it is seen in either number.
<u>132 = 2 x 2 x 3 x 11</u>
<u>60 = 2 x 2 x 3 x 5</u>
The first number is both is 2, which appears at most twice in either list so we will multiply two 2s to find the LCM.
Both numbers also have at most one 3, one 5, and one 11, so to find our LCM, we just need to multiply all these numbers together:
2 x 2 x 3 x 5 x 11 = 660
The LCM of 132 and 60 is 660.
Hope this helped!
