Answer:
Length: 124.7875 cm
Width: 7.2125 cm
Step-by-step explanation:
The perimeter of this area can be calculated as:
P = 2L + 2W
Where P is the perimeter, L is the length and W is the width
If the perimeter is 264 centimeters, we have that:
2L + 2W = 264
L + W = 132
The area can be calculated as:
A = L*W
Where A is the area.
If the area is 900 cm2, we have that:
L*W = 900
From the first equation, we have that L = 132 - W
Using this value in the area equation, we have:
(132-W)*W = 900
132W - W2 = 900
W2 - 132W + 900 = 0
delta = b2 - 4ac = 17424 - 3600 = 13824
sqrt(delta) = 117.575
W1 = (132 + 117.575) / 2 = 124.7875 cm
W2 = (132 - 117.575) / 2 = 7.2125 cm
Using the smaller value for W, the length will be:
L + 7.2125 = 132
L = 124.7875 cm
Answer:
the angle between their paths is <em>100.8°</em>
Step-by-step explanation:
From the given information, you can construct a triangle, just like the one in the figure.
We will use the <em>Cosine Rule</em> which is:
c² = b² + a² - 2 b c cos(θ)
where
- c = 16 miles
- b = 8 miles
- a = 12 miles
Therefore,
2 b c cos(θ) = b² + a² - c²
cos(θ) = (b² + a² - c²) / 2 b c
θ = cos⁻¹( (b² + a² - c²) / (2 b c) )
θ = cos⁻¹( (8² + 12² - 16²) / 2(8)(16) )
<em>θ = 100.8°</em>
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Therefore, the angle between their paths is <em>100.8°</em>
When two quantities, say X and Y, are related in such a way that an increase or decrease in the value of X results in an increase in the value of Y, direct variation occurs, whereas indirect or inverse variation occurs when an increase in the value of X results in a decrease in the value of Y and vice versa.
<h3>
Difference between direct variation and inverse variation:</h3>
- To give the reader a hint, direct variation equations use the same phrase.
- The phrase is either "directly proportional" or "directly varies."
- The area of a square, for example, varies directly from the square of its side.
- Direct variation occurs when two quantities, say X and Y, are related in such a way that an increase or decrease in the value of X results in an increase in the value of Y.
- Inverse variation is a relationship between two variables in which the value of one increases while the value of the other decreases.
- Indirect or inverse variation occurs when two quantities, say X and Y, are related in such a way that an increase in the value of X results in a decrease in the value of Y and vice versa.
Therefore, direct variation occurs when two quantities, say X and Y, are related in such a way that an increase or decrease in the value of X results in an increase in the value of Y whereas indirect or inverse variation occurs when two quantities, say X and Y, are related in such a way that an increase in the value of X results in a decrease in the value of Y and vice versa.
Know more about inverse variation here:
brainly.com/question/13998680
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You use the equation Ax^2 + Bx + C to solve this equation.
The answer is 25.
I hope this helps :D
You would just write f(x) (f of x) in for y: f(x) = 7x + 8.
Hope it helps.
