The tangent line to a circle makes an angle of 90 degrees with the radius.
If |FG| is tangent to circle E. then
30^2 = 26^2 + 17^2
which is not true.
Therefore, line segment FG is not tangent to circle E.
Hello!
![\bf ANSWER](https://tex.z-dn.net/?f=%5Cbf%20ANSWER)
The volume of the square pyramid is approximately ![\boxed{ \bf 19.19~km^3}](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5Cbf%2019.19~km%5E3%7D)
____________________________________________________________
![\bf EXPLANATION](https://tex.z-dn.net/?f=%5Cbf%20EXPLANATION)
V = ![a^{2}](https://tex.z-dn.net/?f=%20a%5E%7B2%7D%20%20%20)
![\frac{h}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bh%7D%7B3%7D%20%20)
First, we must find the area of the square base.
A = l * w
A = 3.5 * 3.5
A = 12.25 km^2
The area of the base is 12.25 km^2. Now, multiply the base area by the perpendicular height. Then divide by 3.
V = (12.25 * 4.7) / 3
V = 19.1916666667
V ≈ 19.19 km^3
![2 \frac{1}{2}+(-2\frac{1}{4})](https://tex.z-dn.net/?f=2%20%5Cfrac%7B1%7D%7B2%7D%2B%28-2%5Cfrac%7B1%7D%7B4%7D%29)
This is equal to:
![2\frac{1}{2}-2\frac{1}{4}](https://tex.z-dn.net/?f=2%5Cfrac%7B1%7D%7B2%7D-2%5Cfrac%7B1%7D%7B4%7D)
When you add a negative number, it turns into subtraction.
First, I would change it to mixed numbers:
![\frac{5}{2}-\frac{9}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B2%7D-%5Cfrac%7B9%7D%7B4%7D)
Now, you need to change the denominators to make sure they are the same on both fractions. I changed the first fraction's denominator to 4 so they match. You can do this by multiplying the numerator by 2:
![\frac{10}{4}-\frac{9}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B4%7D-%5Cfrac%7B9%7D%7B4%7D)
Now, you simply subtract:
10-9=1
1/4 is your answer.
I hope this helps :)
Answer:
18 cm ;
2 cm
Step-by-step explanation:
Length of each adjacent side = 1 :3
If 1 side = 6 ; the possible values of the adjacent side ;
That is side 2 ÷
If side 1, which is 6cm is the ratio 1 ; then side 2 = 6cm * 3 = 18 cm
If side 1, which is 6cm is the ratio 3 ; then side 2 = 6cm / 3 = 2 cm
Hence, the two Possible values of the adjacent side = 18 cm or 2 cm
Answer:
Step-by-step explanation:
According the Triangle sum theorem:
m<T + m<U + m<V =180
x + 2x + x + 80 = 180
solve: x=25
Therefore m<T = 25, m<U = 50, and m<V = 105