Answer:
56x + 34
Step-by-step explanation:
12(3 + 5x) + 1/4(16x - 8)
First, use the distributive property. You will get:
(12)(3) + (12)(5x) + (1/4)(16x) - (1/4)(8)
Next, multiply the numbers. You will then have:
36 + 60x + 4x - 2
Now, rearrange the numbers. The variables go in the front. This is what it should look like:
60x + 4x + 36 - 2
Add 60x and 4x, then subtract 36 and 2. This is your answer:
56x + 34
Answer:
2 - 
Step-by-step explanation:
Using the addition formula for tangent
tan(A - B) = 
and the exact values
tan45° = 1 , tan60° = , then
tan15° = tan(60 - 45)°
tan(60 - 45)°
= 
= 
Rationalise the denominator by multiplying numerator/ denominator by the conjugate of the denominator.
The conjugate of 1 + is 1 -
= 
← expand numerator/denominator using FOIL
= 
= 
= 
+ 
= 2 -
The probability would be 0.1971.
We will calculate a z-score for each end of this interval.
z = (X-μ)/σ
For the lower limit:
z = (1100-1050)/218 = 50/218 = 0.23
For the upper limit:
z = (1225-1050)/218 = 175/218 = 0.80
Using a z-table (http://www.z-table.com) we see that the area under the curve to the left of, less than, the lower limit is 0.5910. The area under the curve to the left of, less than, the upper limit is 0.7881. To find the area between them, we subtract:
0.7881 - 0.5910 = 0.1971
Widths = 23.5feet
Lengths = 47feet
23.5 + 23.5 + 47 + 47 = 141
