(1/10) * 50 = 5
1/10 of 50 is 5
Answer:
Step-by-step explanation:
The two triangles are similar dues to the ASA therom, so we can relate the sides to one another. That means that
13x=11x-4
2x=-4
x=-0.5
If you can divide 81 by 4 and end up with a remainder of 1, then yes, 81 is a part of your sequence.
To justify that, it helps to think about ways we can represent numbers in terms of quotients and remainders. For example, if we take 10/3, we’ll obtain the quotient 3 with a remainder of 1, so another way of writing 10 would be 3(3)+1. If we replace that second three with any integer n, 3n+1 represents *every number* that leaves us with a remainder of 1 when we divide it by 3.
By the same logic, 4n+1 represents every number that leaves a remainder of 1 when we divide it by 4. 81 indeed meets this requirement, since can be written as 4(20)+1, so it would be a part of the sequence.
Answer:
3√15/4
Step-by-step explanation:
sin x = 2/8
- from the trigonometric rule sin²x+cos²x = 1
- cos²x = 1-sin²x
sinx = 2/8
sin²x = (2/8)² = 2²/8² = 4/64
1- sin²x = 1-4/64 = 64 -4/64 = 60/64 = 15/16
cos x = √(15/16) = √15 /4
3 x cos x = 3 x √15/4 = 3√15/4
2x+3+132=180
2x+135=180
subtract 135 from both sides
2x=45
divide both sides by 2
x=22.5
