H is the answer
and the line of the symmetry is like the picture
Answer:
322.28
A
Step-by-step explanation:
Area of the rectangle
L = 30
W = 21
Area = 30 * 21
Area = 630
Area of the circles
Radius = 7 m
Area = pi r^2
Area = 3.14 * 7^2
Area = 153.86 m^2
Area of both circles = 307.72
Area of the Shaded Region
Area of shaded region = area of the rectangle - area of 2 circles.
Area of Shaded Region = 630 - 307.72
Area of Shaded Region = 322.28
Answer:
Of the given geometric sequence, the first term a is 6 and its common ratio r is 2.
Step-by-step explanation:
Recall that the direct formula of a geometric sequence is given by:

Where <em>T</em>ₙ<em> </em>is the <em>n</em>th term, <em>a</em> is the initial term, and <em>r</em> is the common ratio.
We are given that the fifth term <em>T</em>₅ = 96 and the eighth term <em>T</em>₈ = 768. In other words:

Substitute and simplify:

We can rewrite the second equation as:

Substitute:

Hence:
![\displaystyle r = \sqrt[3]{\frac{768}{96}} = \sqrt[3]{8} = 2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20r%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B768%7D%7B96%7D%7D%20%3D%20%5Csqrt%5B3%5D%7B8%7D%20%3D%202)
So, the common ratio <em>r</em> is two.
Using the first equation, we can solve for the initial term:

In conclusion, of the given geometric sequence, the first term <em>a</em> is 6 and its common ratio <em>r</em> is 2.
Answer:
see below
Step-by-step explanation:
A graphing calculator does this very nicely.
___
If I were graphing by hand, I might divide by 4 and add 7 to get ...
y = 3x +7
Now, you know the slope is 3 and the y-intercept is 7. Another point can be found by going left 1 and down 3 from the y-intercept, or left 2 and down 6 as shown on the attached graph. The line can be drawn through those points.