Answer:
cos(F) = 9/41
Step-by-step explanation:
The triangles are similar, so you know that ...
... cos(D) = cos(A) = 40/41.
From trig relations, you know ...
... cos(F) = sin(D)
and
... sin(D)² +cos(D)² = 1
So ...
... cos(F) = sin(D) = √(1 -cos(D)²) = √(1 -(40/41)²) = √(81/1681)
... cos(F) = 9/41
_____
The ratio for cos(A) tells you that you can consider AB=40, AC=41. Then, using the Pythagorean theorem, you can find BC = √(41² -40²) = √81 = 9.
From the definition of the cosine, you know cos(C) = BC/AC = 9/41. Because the triangles are similar, you know
... cos(F) = cos(C) = 9/41
Answer:
f(0) = 1
Step-by-step explanation:
f(x) indicates the "output" value present at the "input" (Output referring to the y value and input referring to the x value). So f(0) would mean the "y" value present at x = 0; however, there are two circles at x = 0. One of the dots is open(hollow) meaning that the "x" and "y" values present there are excluded. This leaves the closed(filled) dot which means that value is included and is the answer.
Answer:
Height of cylinder is .
Step-by-step explanation:
Diameter of cylinder, D = 6 feet
Relation between Radius, R and diameter, D is given by:
So, radius, R = feet
Let height of cylinder be feet.
Formula for volume of cylinder is given by:
Where, R is the radius of base of cylinder
and H is the height of cylinder
We are given that,
Using formula for volume,
Hence, Height of cylinder is .
Water. ••• All living organism needs some water intake.