Answer:
V=97.08
Step-by-step explanation:
The formula for the volume of a cone is V= 1/3 pi (r)^2 (h)
To find the radius divide the diameter by 2. 6/2=3
Plugin: V=1/3 pi(3)^2(10.3)=97.08
Answer:
there are 13 people in the group
Step-by-step explanation:
First step is to subtract the one-time fee from the cost
$60 - $8 = $52
Second step is to divide by the cost per person
⇒ $52/$4 = 13
Multiply 4.93m by 8.5m to get 41.905m to the second power.
You do this because there are 2 identical triangles on the top. And if you put those two triangles together, you get a rectangle. The length of the rectangle is 8.5m while the width would be 4.93. Multiplying the length and width gives you the area.
Then multiply 10.2m by 8.5m to get 86.7m to the second power.
You do this because there are 2 identical triangles on the bottom. And if you put those two triangles together, you get another rectangle. The length of the rectangle is 8.5m while the width would be 10.2m. Multiplying those together gives you the area.
You then add the two areas, 41.905m to the second power and 86.7m to the second power, to get the area of the entire figure.
After adding, you get 128.605 m to the second power. That's the answer
1/sin^2x-1/tan^2x=
1/sin^2x-1/ (sin^2x/cos^2x)<<sin tan= sin/cos>>
= 1/sin^2x- cos^2x / sin^2x
= (1- cos^2x) / sin^2x <<combining into a single fraction>>
sin^2 x / sin^2x <<since 1- cos^2 x sin^2 x
=1
this simplifies to 1.
Answer:
The two lines are not parallel.
Step-by-step explanation:
Every linear equation follows this structure:
y = mx + b
y is the y value
x is the x value
m is the gradient/slope of the line
b (or sometimes c) is the y-intercept of the line
Firstly, we have to get the y term on one side by itself.
6x + y = -1
-6x -6x
y = -6x - 1
-2x -5y = 1
+2x +2x
-5y = 2x + 1
Secondly, we make it so the y term is just the y value.
The first equation is already like this, so we don't need to do anything to that.
-5y = 2x + 1
÷ -5 ÷ -5
y = (2x + 1) / -5
This can be expanded and simplified to:
y = -2/5x - 1/5
Thirdly, we have to compare the slopes and y-intercepts.
y = -6x - 1
y = 2/5x - 1/5
If the slopes are the same and the y-intercepts are different, they are parallel. However, the slopes are different, therefore they are not parallel.
