The height of the triangular base of the pyramid is calculated through the equation,
h = (cos x)(18 in)
where h is height and x is half of the angle of the triangle. Since the triangle is equilateral, the value of x is 30°. Substituting,
h = (cos 30°)(18 in)
h = 15.59 in
Thus, the height of the base is approximately 15.59 inches.
Answer:
The circle has an area of about 1385 square mm.
Step-by-step explanation:
Let's recall that circles have an area that can be found with the following formula:

where r is the radius of the circle.
Now, focus your eyes on the circle. We are shown that the diameter of this circle is 42 mm, but we only want the radius. Since the radius is half the diameter, the radius is 21 mm. Now, we can solve for the area of the circle.

So, to the nearest whole number, the area of the circle is 1385 square mm.
Answer:

Step-by-step explanation:
Given: a graph
To find: the average rate of change of the amount of the element over the 10-minute experiment
Solution:
A rate of change of one quantity with respect to another quantity is known as rate of change. If y is the dependent variable and x is the independent variable then average rate of change = change in y /change in x.
From the graph,
change in x (time) =
minutes
change in y ( amount of the element) =
g
So, average rate of change = 
tax because the tax shows you what you paid and ect
Answer:
<em>124.0 ft^2</em>
Step-by-step explanation:
let b = base of triangle = 7ft
h = height of triangle = 4ft
and
l = height of prism. = 8.5ft
We know,
volume of prism = area of triangular face of prizm × height of prizm
= 1/2 × b × h × l
= 1/2 × 7 × 4 × 8.5
= 7 × 2 × 8.5
= 14 × 8.5
<h2> = <u>124.0 ft^2</u></h2>