The expression would be 2.98 * 10 to the -7 power? Please tell me if I'm wrong.
Answer:
Step-by-step explanation:
This is a question that uses the Pythagorean Theorem.
a = 35 feet
b = x which is the height of the tree.
c = 3*x + 1 so we are trying to find x. Substitute into a b and c
a^2 + b^2 = c^2
35^2 + x^2 = (3x + 1)^2
35^2 + x^2 = 9x^2 + 6x + 1 Subtract x^2 from both sides.
35^2 = 8x^2 + 6x + 1 Subtract 35^2 from both sides.
0 = 8x^2 + 6x + 1 - 35^2
0 = 8x^2 + 6x - 1224
Does this factor?
(x + 12.75)(x - 12)
x - 12 = 0 is the only value that works.
x = 12
The tree is 12 feet high.
Note: I used the quadratic formula to solve this.
Relative minimum would be -15 and -9, relative maximum is -6
First, we need to find the other sides. Since 30° is given to us, we can use sine and cosine to figure out the other side.
To find the side opposite to the angle, we use sine, which is opposite/hypotenuse. It is given that the hypotenuse is 12, so therefore:
sin(30°)=x/12
x = 12sin(30) = 6
To find the side adjacent to the angle, we use cosine, which is adjacent/hypotenuse. Since hypotenuse is 12, we get:
cos(30°)=x/12
x = 12cos(30) = (12√3)/2 = 6√3
Therefore, the perimeter of the triangle is 12+6+6√3 = 18+6√3
education Roman Catholic School one five two weeks
