Answer:
1
Step-by-step explanation:
tan 45 = cos 45 / sin 45.
Since sin(x)=cos(90-x), cos 45 = sin 45, so tan 45 = 1
Answer:
- √7
Step-by-step explanation:
√63 = √9*7 = √9*√7
Sqrt(9) = 3
3√7 - 4√7 = -1√7= -√7
Answer:
130
Step-by-step explanation:
A standard deviation is 15, so 2 standard deviation is 30, 2 standard deviations above 100 is 100+30=130
Volume of a cylinder = π r² h
Let us assume the following values:
radius = 9
height = 10
Volume = 3.14 * 9² * 10
= 3.14 * 81 *10
Volume = 2,543.40
Changes:
radius is reduced to 2/9 of its original size = 9 x 2/9 = 2
height is quadrupled = 10 x 4 = 40
Volume = π r² h
= 3.14 * 2² * 40
= 3.14 * 4 * 40
Volume = 502.40
Original volume = 2543.40 V.S. Volume after change = 502.40
The volume of an oblique cylinder decreased when its radius was decreased to 2/9 of its original size and its height is increased 4 times.
40 x 5280 = 211200 feet per hour
211200 / 3600 = 58.666 = 59 feet per second
