Another phrase for this would be "what are the factors of 432?"
<span>1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, and 432.
</span>
u = 10.4 and v = 12
Solution:
In the given 2 sides of a triangle are 60°, 60°.
Sum of all the angles of a triangle = 180°
60° + 60° + third angle = 180°
⇒ third angle = 180° – 60° – 60°
⇒ third angle = 60°
All angles are equal, therefore the given triangle is an equilateral triangle.
⇒ All sides are equal in length.
⇒ v = 12
The line drawn from the top angle divides the triangle into two equal parts
and the line is perpendicular.
12 ÷ 2 = 6
Using Pythagoras theorem,
![\text{Base}^2+\text{Opposite}^2=\text{Hypotenuse}^2](https://tex.z-dn.net/?f=%5Ctext%7BBase%7D%5E2%2B%5Ctext%7BOpposite%7D%5E2%3D%5Ctext%7BHypotenuse%7D%5E2)
⇒ ![6^2+\text{opposite}^2=12^2](https://tex.z-dn.net/?f=6%5E2%2B%5Ctext%7Bopposite%7D%5E2%3D12%5E2)
⇒ ![36+\text{opposite}^2=144](https://tex.z-dn.net/?f=36%2B%5Ctext%7Bopposite%7D%5E2%3D144)
⇒ ![\text{opposite}^2=108](https://tex.z-dn.net/?f=%5Ctext%7Bopposite%7D%5E2%3D108)
⇒ ![\text{opposite}=6\sqrt3=10.4](https://tex.z-dn.net/?f=%5Ctext%7Bopposite%7D%3D6%5Csqrt3%3D10.4)
⇒ u = 10.4
Hence, u = 10.4 and v = 12.
Answer:
HI = 10
Step-by-step explanation:
HI + IJ = HJ , substitute values
2x + 3x - 1 = 24 , that is
5x - 1 = 24 ( add 1 to both sides )
5x = 25 ( divide both sides by 5 )
x = 5
Thus
HI = 2x = 2 × 5 = 10
Answer:Consider the right triangle formed by the complex number in the Argand-Gauss plane and it's projections on the axis. – José Siqueira Nov 12 '13 at 17:21
In particular what is the definition of sine of theta in terms of the known sides of the above mentioned right triangle? – Adam Nov 12 '13 at 17:27
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3 Answers
1
Consider the following Argand-diagram
enter image description here
The y-axis is the imaginary axis and the x-axis is the real one. The complex number in question is
x+yi
To figure out θ, consider the right-triangle formed by the two-coordinates on the plane (illustrated in red). Let θ be the angle formed with the real axis.
tanθ=yx
⟹tan−1(yx)
The hypotenuse of the triangle will be
x2+y2−−−−−−√
Therefore,
Step-by-step explanation:
Answer:
The width of the garden is 7 feet.
Step-by-step explanation:
If the area is 56 feet, and the length is 8 feet, we can put this into the area equation.
Area = width * length
A = wl
Substitute variables.
56 = 8w
Divide by 8.
7 = w, or w = 7.
The width of the garden is 7 feet.