When lines cross each other in a triangle from a point to the mid point of the opposite side as shown, AV is 2 times as long as VF
To solve for X we would have AV = 2*VF
The equation becomes:
3x+6 = 2(x+6)
Now we solve for X
3x+6 = 2(x+6)
Distribute the 2 on the right side:
3x + 6 = 2x +12
Subtract 2x from each side:
X +6 = 12
Subtract 6 from each side:
x = 6
Now if you needed to solve the length of AV or VF, you replace x with 6 and solve.
The area of the rectangular pen is 10,000 m² and the area of the circular pen is 12,738.95 m².
For the rectangular pen, we want the sides to be congruent. To minimize perimeter and maximize area, the figure needs to be equilateral.
400/4 = 100 m for each side
This means that the area is 100(100) = 10,000 m².
If the pen is circular, this means the circumference is 400 m. Circumference is given by the formula C=πd:
400 = 3.14d
Divide both sides by 3.14:
400/3.14 = 3.14d/3.14
127.389 = d
The radius is half of the diameter:
r = 127.389/2 = 63.6945
The area of the circle is given by A=πr²:
A=3.14(63.6945)² = 12738.9465 ≈ 12738.95 m²
Answer:
D 258 ft
Step-by-step explanation:
Triangle Formula:
(length x width) x 1/2
Rectangle/Square Formula:
(length x width)
I hope this helps :)
I KNOW YOU WILL DO GREAT ANYWAY!!
Answer:
Height of shuttle at that instant = 1.17 miles
Step-by-step explanation:
Refer the given figure.
C is the position of rocket and B is the position of observer.
Here we need to find AC, that is the height of shuttle at that instant.
Using trigonometric rules on ΔABC, we have
Height of shuttle at that instant = AC = 1.17 miles
