Answer:
53
Step-by-step explanation:
Use pemdas
Use P and do (2+2)
then E 2^3 to get 8
Now you have 9-4/4+8*5
Do M and D To get 9-1+45
Now add and subtract to get your answer
Answer:
5.415m and 2.585m long
Step-by-step explanation:
For a right triangle
hyp^2 = opp^2 + adj^2 (Pythagoras theorem)
Given
hypotenuse = 6m
height(opposite) = h meters
Adjacent = (8-h)m
Substitute into the expression above;
6² = h²+(8-h)²
36 = h²+64-16h+h²
36 = 2h²-16h+64
2h²-16h+64-36 = 0
2h²-16h+28= 0
Divide through by 2
h²-8h+14 = 0
Using the general formula
h = 8±√8²-4(14)/2
h = 8±√64-56/2
h = 8±√8/2
h = 8±2.83/2
h = 8+2.83/2 and 8-2.83/2
h = 10.83/2 and 5.17/2
h = 5.415 and 2.585
hence the length of the height of the right triangle are 5.415m and 2.585m long
Answer:
- <u>f(t) = -7.561(t + 1.15)(t - 2.53)</u>
Explanation:
The<em> hint </em>is that the function f can be written in the form:
- f(t) = c (t - t₁) (t - t₂)
It is a quadratic function, i.e. a parabola.
The maximum point, maximum height, of a parabola is its vertex.
And the x-coordinate of the vertex is at the midpoint between the two x-intercepts.
The time when the rock reaches the road is one x-intercept: t = 2.53 seconds: (2.53, 0).
The other x-intercept is sucht that (x + 2.53) / 2 = 0.69
- (x + 2.53) / 2 = 0.69
- x + 2.53 = 1.38
- x = 1.38 - 2.53
- x = -1.15
Thus, the equation is:
- f(t) = c(t + 1.15) (t - 2.53).
You can find c by doing t = 0, because at t = 0 the height, f(t), is 22 feet:
- f(0) = 22 = c (0 +1.15)(0 - 2.53)
- 22 = c(1.15)(-2.53)
- 22 = c (-2.9095)
- c = - 22/(2.9095)
- c = - 7.561
Then, the function can be written as:
- f(t) = -7.561(t + 1.15) (t - 2.53) ← answer
Answer:
You are at a store and you are want to buy a books for school. One book cost $8 and you were given a total of $96. What is the maximum amount of books can you buy.
Step-by-step explanation:
