The length of the rectangle is determined as x - 5 while the width is x² + 3.
<h3>
Length of the rectangle</h3>
The length of the rectangle is determined by the following formula shown below;
Area = Length x width
L = A/w
x - 5
------------------------------------
x² + 3 √x³ - 5x² + 3x - 15
-(x³ + 3x)
--------------------------
- 5x² - 15
-5x² - 15
----------------------------
0
Thus, the length of the rectangle is determined as x - 5 while the width is x² + 3.
Learn more about area of rectangle here: brainly.com/question/25292087
<span>11. 137/100000 = 0.00137
12. 123,067/10,000 = 12.3067
hope it helps</span>
The exact values of sec θ, tan θ and sin θ are 6.4/4, 5/4 and 5/ 6.4 respectively.
<h3>How to determine the trigonometric ratios</h3>
From the figure, we have the values of the sides to be;
- opposite side = 5
- Adjacent side = 4
Let's use Pythagorean theorem to find the hypotenuse(x)
Hypotebuse square = opposite side square + adjacent side square
Substitute the values deduced from the figures given
x² = 5² + 4²
x² = 25 + 16
x² = 41
x =
x = 6. 4
sin θ = opposite/hypotenuse
Substitute the values
sin θ = 5/ 6. 4
tan θ = opposite/ adjacent
Substitute the values
tan θ = 5/ 4
sec θ = hypotenuse/ adjacent
substitute the values
sec θ = 6. 4/ 4
Thus, the exact values of sec θ, tan θ and sin θ are 6.4/4, 5/4 and 5/ 6.4 respectively.
Learn more about trigonometric identities here:
brainly.com/question/7331447
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<h3>
Answer:</h3>
See attached.
<h3>
Step-by-step explanation:</h3>
When graphing equations presented in standard form, it is often convenient to convert them to intercept for. You do this by dividing by the constant on the right, and expressing the x- and y-coefficients as denominators:
... x/(x-intercept) + y/(y-intercept) = 1
Dividing your equation by 48, you get ...
... x/12 + y/(-8) = 1
That is, the intercepts of the line are (12, 0) and (0, -8). A line through these points will be the graph of the equation.
Answer:
647$ USD
Step-by-step explanation:
You add 4% of each sale to eachother and to the 375. goodluck!