Part 1
We want to find the tan of 88 degrees, 22' 45''.
88° 22' 45''
= 88 + 22/60 + 45/3600 degrees
= 88.3792°
From the calculator, obtain
tan(88.3792°) = 35.3409
Answer: 35.3409
Part 2
We want to find cot(36°).
By definition, cot(x) = 1/tan(x).
From the calculator, obtain
tan(36°) = 0.7265
Therefore
cot(36°) = 1/0.7265 = 1.3764
Answer: 1.3764
Answer:
f(5) = 26.672 which is option D
Step-by-step explanation:
From question, f(1) = 2 and f'(x)=√(x^3 + 6)
f(5) = f(1) + (5,1)∫ f'(x) dx
Integrating using the boundary 5 and 1;
f(5) = 2 + (5,1)∫√(x^3 + 6) dx
f(5) = 2 + 24.672
So f(5) = 26.672
The length of a rectangle:
L = 2 W + 5
The perimeter:
P = 2 L + 2 W
130 = 2 · ( 2 W + 5 ) + 2 W
130 = 4 W + 10 + 2 W
130 - 10 = 6 W
120 = 6 W
W = 120 : 6
W = 20 in
L = 2 · 20 + 5
L = 40 + 5
L = 45 in.
Finally the area:
A = L · W
A = 20 · 45
A = 900 in²
Answer:
This is a perfect cube.
The side length is 9 centimeters.
Taking the cube root of the volume will determine the side length
Step-by-step explanation:
Answer:
23 x + 62
Step-by-step explanation:
Simplify the following:
5 (4 x + 12) + 3 x + 2
5 (4 x + 12) = 20 x + 60:
20 x + 60 + 3 x + 2
Grouping like terms, 60 + 20 x + 3 x + 2 = (20 x + 3 x) + (60 + 2):
(20 x + 3 x) + (60 + 2)
20 x + 3 x = 23 x:
23 x + (60 + 2)
60 + 2 = 62:
Answer: 23 x + 62
