The cofunction of cos is sin(90-x)
90 degrees is equal to PI/2
The cofunction becomes sin(PI/2 - 2PI/9)
Rewrite both fractions to have a common denominator:
PI/2 = 9PI/18
2PI/9 = 4PI/18
Now you have sin(9PI/18 - 4PI/18)
Simplify:
Sin(5PI/18)
Answer:
75 cubic units
Step-by-step explanation:
Bottom layer of a rectangular prism is made up of 15 unit cubes.
Therefore, area of the 15 unit cubes = 15(area of the base of one unit cube)
= 15(1)²
= 15 unit²
Number of layers of unit cubes in the rectangular prism = 5
So the height of the prism = 5 units
Volume of the prism = (Area of the base) × Height
= 15 × 5
= 75 cubic unit
Answer:
The given equation will have value less than 100 whenever the value of b is greater than 12.89
Step-by-step explanation:
For the given equation, p(b) = 520 × to have a value less than 100 we can establish inequality as:
p(b) < 100
or, 520 × < 100
or, × <
or, <
or, ㏒ ( ) < ㏒ ()
or, b× ㏒ 0.88 < ㏒ ()
or, < b
or, 12.89 < b
Hence for the equation to have value less than 100, b must be greater than 12.89.
Answer:56
Step-by-step explanation:
i got it correct on my test
Answer:
93
Step-by-step explanation:
The mean of a list of numbers is the sum of the numbers divided by the count of the numbers in the list.
In this case, representing the eighth score with x, the mean is (611+x)/8
Solving for the mean:
88=(611+x)/8
Multiply both sides by 8
8*88=611+x
704=611+x
704-611=x
x=93