Answer:
52 degrees
Step-by-step explanation:
Every triangles angles sum up to 180 degrees
83+45=128
180-128=52 degrees
Answer:
X is 3 units.
Step-by-step explanation:
Volume of prism is cross sectional area multiplied by length. So 1/2 ×2× x ×2 into 3x, which is equal to 6x^2. So, 6x^2=54. Therefore, x=3.
The mean ( average ) is given as 1200 hours.
The standard deviation is 200, sample size is 100.
Find the standard error:
√(200^2 / 100) = 20
Now calculate the confidence interval. For 95% the Z number is 1.96
Multiply Z by the standard error:
1.96 x 20 =39.2
Now find the range that the mean should be within:
1200 - 39.2 = 1160.8
1200 + 39.2 = 1239.2
The samples should be between 1160.8 and 1239.2 for a 95% confidence interval.
Since the average was 1050, which is below 1160.8 the bulbs are not in compliance.
Since AB if of the whole circumference, which covers 360 degrees.
So in radian, it's 2pi
-10a and -8a are like terms, but -3ab is not equivalent. With the two a terms, we have:
-10a-8a
a(-10-8)
-18a
We then add in the other term (-3ab) for a final result of -3ab+-18a. This can be factored alternatively as -3a(b+6).