Answer:
4) Increase from 0 to 1
Step-by-step explanation:
We have to analyze the value of cos(Ф) from -π/2 to 0. This can be done if we simplify evaluate the value of cos(Ф) at these two extreme.
This shows that value of cos(Ф) is 0 at -π/2 or -90 degrees and increased to 0 at 0 degrees.
This answer can be validated if you visualize the graph of cos function. Cos function has a peak at 0 degrees, i.e. a value equal to 1. On right and left side of 0 degrees, the curve starts falling down and eventually touches the horizontal axis at 90 degrees and -90 degrees. This is shown in the graph attached below:
Answer:
The height of the football after 4 seconds is 80 feet.
Step-by-step explanation:
You know that the height (in feet) of punted football is a function of the time the ball is in the air and it is defined by:
h(t) = -7*t²+48*t
To calculate the height of the ball after 4 seconds, you must replace the time t by the time of 4 seconds:
h(4) = -7*4²+48*4
Solving, you get:
h(4) = -7*16+48*4
h(4) = -112+192
h(4)= 80
<u><em>The height of the football after 4 seconds is 80 feet.</em></u>
A. 40x^2 + 240x + 200
Shape: Rectangle
Formula: A = LW
A = (10x + 10)(4x + 20)
= (10x)(4x) + (10x)(20) + (10)(4x) + (10)(20)
= 40x^2 + 200x + 40x + 200
= 40x^2 + 240x + 200
————————————————————-
2. 57,600 ft^2
Width:
4x + 20 = 160
4x = 140
x = 35
Plug-In:
10x + 10
10(35) + 10
350 + 10
360 = Length
————————————-
A = LW
A = 360 • 160
A = 57,600 ft^2
Using proportions, it is found that the number of islands that each member will have to visit is given by:
c. 19 islands.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, there are 684 islands, and 36 members, hence the number of islands per member is given by:
n = 684/36 = 19.
Which means that option c is correct.
More can be learned about proportions at brainly.com/question/24372153
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