The students in Suzanne's school are painting a rectangular mural outside the building that will be 15 feet by 45 feet. Scale dr
1 answer:
Answer:
The dimensions on paper are 1.992ft by 5.976ft with a scale factor of 7.53
Step-by-step explanation:
The first step will be to find the diagonal of the rea life mural.
We can use Pythagoras' Theorem to do this.
Diagonal = =47.43 feet.
Now we have the real-life diagonal, we will now relate the diagonal of the painting outside with the one on paper. We can do this by dividing the two diagonals.
This will be 47.43 / 6.3 units = 7.53.
The scale factor is 7.53
To get the dimensions of the length and the breadth on paper, we divide the outside dimensions by the scale factor.
This will be
Length = 15/ 7.53 = 1.992
Breadth = 45/7.53 = 5.976
Therefore, the dimensions on paper are 1.992ft by 5.976ft with a scale factor of 7.53
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<u>Given</u>:
A ball is kicked 4 feet above the ground with an initial vertical velocity of 55 feet per second.
The function represents the height h(in feet) of the ball after t seconds.
We need to determine the time of the ball at which it is 30 feet above the ground.
<u>Time:</u>
To determine the time that it takes for the ball to reach a height of 30 feet above the ground, let us substitute h(t) = 30, we get;
Adding both sides of the equation by 16t², we get;
Subtracting both sides of the equation by 55t, we have;
Let us solve the quadratic equation using the quadratic formula, we get;
The value of t is t = 0.6 because this denotes the time taken by the ball to reach a height of 30 feet from the ground.
Therefore, the time taken by the ball to reach a height of 30 feet above the ground is 0.6 seconds.
