Recall the important identities:
i)
, the difference of squares formula.
ii)
, for any angle x.
Then,
from i)
then, from ii), we have
Answer: cos(theta)
Answer:
2.12 ft above ground level
Step-by-step explanation:
Volume of the cylindrical tank is 36*π
Tank is filled to half its capacity, that means tank is filled 18*π, and level of water is 4 feet, then the height of the cylinder is 8 feet
With the above information we can calculate the radius of the base of the cylinder, according to
V = 36*π = π*r²*h ⇒ 36 = r²*h ⇒ 36/8 = r² ⇒ r = 2.12 ft
Then the radius of the base is 2.12 ft
When the cylindrical tank is place on its side, the level of water inside have to be 2.12 ft above ground level. That is the level of half its capacity
Answer:Transform the equation to isolate x: ax = bx + 1. How is the value of x related to the difference of a and b
Step-by-step explanation:
Height of a trapezoid:
h = 5 · sin 80° = 5 · 0.985 = 4.924
x = 5 · cos 80° = 5 · 0.17365 = 0.868
7 - x = 7 - 0.868 = 6.132
By the Pythagorean theorem:
d² = 6.132² + 4.924²
d² = 37.6 + 24.25
d² = 61.85
d = √61.85
d = 7.86 ≈ 8
Answer: The length of a diagonal brace is 8 feet.
Answer:
(C) Whether or not a subject attends preschool
Step-by-step explanation:
In research studies, variables are used to explain differences in another variable. The explanatory variable (also known as independent or predictor variable) is used to explain differences in the response variable (dependent or outcome variable).
<em>It is important to know that the explanatory variable is the variable that is manipulated by the researcher. </em>
The facts that are not being manipulated are the income of the children studied, and what happens after attending or not preschool program. The variable the researcher is manipulating is the assignation to groups that will or will not attend preschool. Therefore the correct answer is:
(C) Whether or not a subject attends preschool
I hope you find this information useful and interesting! Good luck!
