Answer:
$216
Step-by-step explanation:
This question does not involve interest, so all we need to do is to divide the total of payments ($10,368) by the number of payments (48):
$10,368
--------------- = $216/month
48
The trigonometric function gives the ratio of different sides of a right-angle triangle. The given problems can be solved as given below.
<h3>What are Trigonometric functions?</h3>
The trigonometric function gives the ratio of different sides of a right-angle triangle.
![\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\](https://tex.z-dn.net/?f=%5Crm%20Sin%20%5Ctheta%3D%5Cdfrac%7BPerpendicular%7D%7BHypotenuse%7D%5C%5C%5C%5C%5C%5CCos%20%5Ctheta%3D%5Cdfrac%7BBase%7D%7BHypotenuse%7D%5C%5C%5C%5C%5C%5CTan%20%5Ctheta%3D%5Cdfrac%7BPerpendicular%7D%7BBase%7D%5C%5C%5C%5C%5C%5CCosec%20%5Ctheta%3D%5Cdfrac%7BHypotenuse%7D%7BPerpendicular%7D%5C%5C%5C%5C%5C%5CSec%20%5Ctheta%3D%5Cdfrac%7BHypotenuse%7D%7BBase%7D%5C%5C%5C%5C%5C%5CCot%20%5Ctheta%3D%5Cdfrac%7BBase%7D%7BPerpendicular%7D%5C%5C%5C%5C%5C%5C)
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
1st.) x = 5 /Sin(30°)
x = 10
!) sin(45°) = 4/x
x = 4/sin(45°)
x = 4√2
I) Cos(45°) = √3 / x
x = √3 / Cos(45°)
x = √6
E) Tan(60°) = 3√3 / x
x = 3√3 / 3
W) For isosceles right-triangle, the angle made by the legs and the hypotenuse is always 45°.
x = 45°
N) x² + x² = (7√2)²
x = 7
V) Tan(60°) = 7 / x
x = 7√3/3
K) x² + x² = (9)²
x = 9/√2
Y) Sin(60°) = 7√3/x
x = 14
M) Sin(30°) = x/11
x = 11/2
T) Sin(45°) = x/√10
x = √5
A) x + 2x + 90° = 180°
x = 30°
O) Sin(45°) = √2 / x
x = 2
R) Tan(30°) = x / 4
x = 4/√3 = 4√3 / 3
S) Sin(60°) = x / (10/3)
x = 5√3 / 3
Learn more about Trigonometric functions:
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Answer:
D(4,-3)
Step-by-step explanation:
Given three of the vertices of the square: A(4, -7), B(8, -7),C(8, -3)
Let the coordinate of the fourth vertex be D(x,y).
We know that diagonals of a square are perpendicular bisector. So, the midpoint of both diagonals is the same.
The diagonals are BD and AC
Midpoint of BD = Midpoint of AC
![\left(\dfrac{8+x}{2},\dfrac{-7+y}{2}\right) =\left(\dfrac{4+8}{2},\dfrac{-7+(-3)}{2}\right)\\ \left(\dfrac{8+x}{2},\dfrac{y-7}{2}\right) =\left(\dfrac{12}{2},\dfrac{-10}{2}\right)\\ \left(\dfrac{8+x}{2},\dfrac{y-7}{2}\right) =\left(6,-5\right)\\$Therefore$:\\\dfrac{8+x}{2}=6\\8+x=12\\x=12-8\\x=4\\$Similarly$\\\dfrac{y-7}{2}=-5\\y-7=-5*2\\y-7=-10\\y=-10+7=-3](https://tex.z-dn.net/?f=%5Cleft%28%5Cdfrac%7B8%2Bx%7D%7B2%7D%2C%5Cdfrac%7B-7%2By%7D%7B2%7D%5Cright%29%20%3D%5Cleft%28%5Cdfrac%7B4%2B8%7D%7B2%7D%2C%5Cdfrac%7B-7%2B%28-3%29%7D%7B2%7D%5Cright%29%5C%5C%20%5Cleft%28%5Cdfrac%7B8%2Bx%7D%7B2%7D%2C%5Cdfrac%7By-7%7D%7B2%7D%5Cright%29%20%3D%5Cleft%28%5Cdfrac%7B12%7D%7B2%7D%2C%5Cdfrac%7B-10%7D%7B2%7D%5Cright%29%5C%5C%20%5Cleft%28%5Cdfrac%7B8%2Bx%7D%7B2%7D%2C%5Cdfrac%7By-7%7D%7B2%7D%5Cright%29%20%3D%5Cleft%286%2C-5%5Cright%29%5C%5C%24Therefore%24%3A%5C%5C%5Cdfrac%7B8%2Bx%7D%7B2%7D%3D6%5C%5C8%2Bx%3D12%5C%5Cx%3D12-8%5C%5Cx%3D4%5C%5C%24Similarly%24%5C%5C%5Cdfrac%7By-7%7D%7B2%7D%3D-5%5C%5Cy-7%3D-5%2A2%5C%5Cy-7%3D-10%5C%5Cy%3D-10%2B7%3D-3)
The coordinates of the fourth vertex is D(4,-3)
Answer:
The square root of 3 is the positive real number that, when multiplied by itself, gives the number 3. ... It is denoted by √3. The square root of 3 is an irrational number.
Step-by-step explanation: