Answer:
32
Step-by-step explanation:
The shape in image is an equilateral triangle which means all of it's angles has equal measurements:
2x - 4 = 5y and that is equal to 60 degrees
2x - 4 = 60 add 4 to both sides
2x = 64 divide both sides by 2
x = 32
Answer:
true
Step-by-step explanation:
sinA² + cosA²=1
⇔(1/2)² + cosA²=1
⇔cosA=±(√3/2)
To start this problem, what we need to do is try to simplify the fraction into one we might know already. The best way to go about doing this is to see if we can divide the top and bottom by any of the same numbers.
We can divide 9 by 1, 3, and 9
We can divide 12 by 1, 3, 4, and 12
Looking back over the numbers, we can see that both 9 and 12 are divisible by 3, so if we divide both of them by 3, we will get a new fraction! This fraction will be 3/4.
Our next step is to see if we know what 3/4 is. I know 1/4 is .25 because the coin called a quarter is 25 cents, so if I had 3 quarters, I would have 75 cents, so I know know that 9/12 = 3/4 = .75!
Answer:
The formula is ⇒ 
Step-by-step explanation:
∵ The sequence is -1/2 , -3/10 , -9/50 , -27/250
∵ (-3/10) ÷ (-1/2) = 3/5
∵ (-9/50) ÷ (-3/10) = 3/5
∴ It is a geometric sequence
∴ The formula is Tn = ar^(n - 1)
Where a is the first term , r is the constant ratio between each two consecutive terms and n is the position of the number
∴ Tn = -1/2 ( 3/5)^(n - 1)
∴
Answer: 3.1
Step-by-step explanation: