Answer:
5
Explanation:
Look at the number line and count the number of increments needed to get from point A to B.
Answer:
7pi/2
Step-by-step explanation:
Given the expression cosec x = -1
I'm trigonometry csecx = 1/sinx
The equation becomes
1/sin(x) = -1
Sinx = -1
x = arcsin(-1)
x = -90°
x is negative in the third and 4th interval
Third interval;
x = 180+90
x = 270°
x = 3pi/2
Since the angle should be within 3pi < x < 4pi
Add 2pi to the angle
x = 2pi+ 3pi/2
x = 7pi/2
Hence the required angle is 7pi/2
Well we would need to see some type of graph in order to help you find the slope.
Observe attached picture.
On picture we have:
A = height of flagpole = x ft
B = length of flagpole's shadow = 24 ft
C = height of sign = 6 ft
D = length of sign's shadow = 3 ft
When we draw a picture representing this problem we can also add another line marked in red. This way we can see that we have two right-angle triangles. We can see that both have same angle marked with α.
We can apply trigonometry rules to find height of flagpole.
From small triangle containing sign we can find tangens function:
Similarly we can do for large triangle containing flagpole:
We see that these two equations have same left sides. This means that their right sides must also be same:
We can solve for A:
Height of flagpole is 48 feet.
We know that the area of a circle in terms of π will be πr². However the area with respect to the diameter will be a different story. The first step here is to find a function relating the area and diameter of any circle --- ( 1 )
For any circle the diameter is 2 times the radius,
d = 2r
Therefore r = d / 2, which gives us the following formula through substitution.
A = π(d / 2)² = πd² / 4
<u>Hence the area of a circle as the function of it's diameter is A = πd² / 4. You can also say f(d) = πd² / 4.</u>
Now we can substitute " d " as 4, solving for the area ( A ) or f(4) --- ( 2 )
f(4) = π(4)² / 4 = 16π / 4 = 4π - <u>This makes the area of circle present with a diameter of 4 inches, 4π.</u>