3 is incorrect, should be 28.9
16^2 + 18^2 = EG^2
256 + 324
580 = EG^2
EG ≈ 24.08
16^2 + 24.08^2 = AG^2
256 + 580 = AG^2
836 = AG^2
AG ≈ 28.9
5 is incorrect:
The base is 8.
Draw an altitude the base.
Since the triangle is isoceles, it divides the base in half.
Half of that base is 4.
Two right triangles have been formed with one leg 4 and hypotenuse 8.
4^2 + b^2 = 8^2
16 + b^2 = 64
b^2 = 48
b ≈ 6.93
The height of the triangle is 6.93, the base is 8.
A = bh/2 = 8*6.93/2 ≈ 27.7 ≈ 28
Answer:
A) x = 0, 2
Step-by-step explanation:
(x + 4) / 6x = 1 / x
this is a proportion, so you can cross-multiply and get:
x(x + 4) = 6x
x² + 4x = 6x
x² - 2x = 0
x(x - 2) = 0
x = 0
x - 2 = 0 so, x = 2
Answer:
729.
Step-by-step explanation:
Answer:
The side of the square is 5.971 cm
Step-by-step explanation:
If the square fits the circle exactly, then its diagonal is equal to the diameter of the circle. Since the side of the square has a length of
cm, then it's diagonal have the length of
cm. Using the circle's area we can find the diagonal of the square, as shown below:

Since the diameter of the circle is the same as the diagonal of the square, then:

The side of the square is 5.971 cm
The first and the 2nd one are correct because x is 21 and y is 49
3 and 4 at wrong