Considering the area of the rectangle, we have that the length is of 8 units and the width is of 10 units.
<h3>What is the area of a rectangle?</h3>
The area of a rectangle of length l and width w is given as follows:
A = lw.
In this problem, the area is of 80 square units, while the length and the width are consecutive even integers, hence:
Then:
l(l + 2) = 80
l² + 2l - 80 = 0
(l + 10)(l - 8) = 0.
We need the positive measure, hence:
l - 8= 0 -> l = 8 units.
w = l + 2 = 10 units.
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The greatest common factor would be 3 because 3x17=51 and 3x6=18
Answer:
x-intercept: 2.8 hours
y-intercept: 0.7 . . . . fraction of power remaining
Step-by-step explanation:
The equation is in slope-intercept form, so the y-intercept can be read directly: 0.7.
To find the x-intercept, set y=0 and solve for x:
0 = -0.25x +0.7
0.25x = 0.7 . . . . . add .25x
x = 2.8 . . . . . . . . . multiply by 4 (that is, the reciprocal of 0.25)
The x-intercept is 2.8; the y-intercept is 0.7.
The value of sin 0 in quadrant 2 is 4/5
<h3>How to determine the identity</h3>
Given that cos 0 = -3/5
We have;
- adjacent = -3
- hypotenuse = 5
Let's find the opposite side, using Pythagorean theorem
5^2 = x^2 + (-3)^2
25 = x^2 + 9
collect like terms
x^2 = 25 - 9
x^2 = 16
x = √ 16
x = 4
We have that
sin 0 = opposite/hypotenuse
sin 0 = 4/5
It is important to note that the trigonometric identity 'sine' is positive in quadrant 2
sin 0 = 4/5
Hence, the value of sin 0 in quadrant 2 is 4/5
Learn more about quadrant here:
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