We are given the a right triangle and the interior angles of the triangle. We use some trigonometric functions to solve the length of the remaining legs. We calculate as follows:
let a and b the length of the legs
cos 30 = a / 22
a = 19.05 cm
sin 30 = b / 22
b = 11 cm
Hope this answers the question. Have a nice day.
Answer:
715 ft^2
Step-by-step explanation:
Answer:
Two solutions
Step-by-step explanation:
This is a quadratic equation in the form y = ax² + bx + c.
For quadratic equations, you can find solutions using the quadratic formula:
.
To find the number of solutions, <u>you only need what's inside the square root</u>. We call it the "<u>discriminant</u>" because lets us know the number of solutions without solving.

If b²- 4ac > 0, two solutions. (greater than)
If b²- 4ac < 0, no solutions. (less than)
If b²- 4ac = 0, one solution. (equal to)
y = ax² + bx + c
y = -3x² + x + 12
a = -3 b = 1 c = 12
<u>Substitute into the discriminant</u>
b²- 4ac
= 1² - 4(-3)(12)
= 1 - (-144)
= 145 > 0
b²- 4ac > 0 Discriminant greater than 0
Therefore, there are two solutions.
Answer:
![\sqrt[3]{4(x-3)} /2](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B4%28x-3%29%7D%20%20%20%20%2F2)
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
1/12 is reduced to its lowest point.
3/4 can be increased to 9/12 by:
×
= 
So, the least common denominator is 12.