From here you should be able to calculate the answer. One of them is -0.52 which is not the one you use. Minus heights do not matter in these problems yet. The other root is your answer.
Problem two is the usual way to express what happens to a projectile in the air. It again is going to be solved by the quadratic equation.
There are two ways to do this problem. If you know physics, you can solve it using the projectile formulas. If you don't , then you can use the trick in the previous problem. You can calculate how long it takes to hit the ground (h will then be zero).
This problem is rather nasty for someone who has not taken physics. There is another trick. You have to divide the time you get from the previous step by 2. When you solve the quadratic for h = 0, you get 11.6 seconds. But that is the time it takes to hit the ground. Half time is when the boulder will be at it's highest point. t = 11.6 / 2 = 5.8 (which your answers record as 5.75).
h = 0
b = 184
c = 20
The answer from this equation is t = 11.6
The time you want is t = 5.75. You can calculate the maximum height by putting 5.75 in for t.
Problem 3 is done exactly the same way as problem two. You just have different numbers. When h = 0 the time taken to reach zero = 2.17 seconds. Therefore the time you want to put into the original equation for the maximum height is 1/2 of 2.17 seconds. From there you can find the maximum height.
Note: there is a lot of math in here. I have gotten you past the physics. I have also alluded to the answers. I think you should be able to carry out the rest.
Step-by-step explanation: To find the volume of a sphere, start with the formula for the volume of a sphere.
Notice that our sphere has a radius of 9 units so we can plug 9 into our formula.
Now, let's simplify the exponent. 9 units³ is equal to 9 units × 9 units × 9 units or 729 units³.
Notice that we can cross cancel in and to and
Answer: A central angle of a circle
The trigonometric functions are also known as circular functions.
The two fundamental trigonometric functions are defined as the coordinates of a any point A travelling around on the unit circle of radius 1 .
The input variable in trigonometric functions is the central angle of the circle 'x' such that we get sin x and cos x which give the x and y coordinates of A.
Hence, the input to a trigonometric function is a central angle of a circle.
he`s right its a or b
i'm going with b
The rate of change is 4/π which is the correct answer would be option (D)
A graph can be defined as a pictorial representation or a diagram that represents data or values.
The slope of a line is defined as the angle of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)
The coordinates of the endpoints of the range can be used to determine the rate of change using the slope formula: m = dy / dx.
The coordinates are
So rate of change = (y₂ - y₁)/(x₂ -x₁ )
Rate of change = (5-3)/(π/2-0)
Rate of change = 4/π
Learn more about the Rate of change here:
Answer: 7 more lemons
Since she needs 448 ounces of lemonade you have to divide which is 5.6 . As a result there are 5.6 80 ounces of lemonade. 80 ounces needs 8 lemons. 448 ounces of lemonade are needed 8 x 5.6 = 44.8 lemons. Tanisha only has 38 lemons, which isn't enough. 44.8 - 38 = is about 7 more lemons.