Answer:
The kite is about 44.1 feet high.
Step-by-step explanation
Since you are trying to find the height, you would draw a triangle to diagram which sides you need to use. The 123 ft of string would be the hypotenuse of the triangle while the 21 degrees is the theta. You are trying to find the height and from the theta that would be the opposite side so you would use sine because you are using opposite and hypotenuse.
sin21=x/123
You have sin of 21 because that is the angle measure, then opposite over hypotenuse which is x/123.
You then multiply both sides by 123 to get the variable of x alone on one side.
123sin21=x
Then just plug this into your calculator and round to the nearest tenth and you get 44.1 feet.
Hope this helped explain how to do these problems, I had trouble doing them awhile back in Algebra 2 so hope this helped out a little.
Answer:
30
Step-by-step explanation:
Roderigo will pay $7353.80 in interest.
Interest capitalization means the interest earned is added to the principle amount so first we will use compound interest formula.
<h3>
What is the formula for compound interest?</h3>
![Amount=p(1+\frac{r}{n} )^{nt}](https://tex.z-dn.net/?f=Amount%3Dp%281%2B%5Cfrac%7Br%7D%7Bn%7D%20%29%5E%7Bnt%7D)
p = 8575
r = 7.1% or 0.071
n = 12
t = 4
Putting the values in formula we get
![Amount=8575(1+\frac{0.071}{12} )^{12(4)}](https://tex.z-dn.net/?f=Amount%3D8575%281%2B%5Cfrac%7B0.071%7D%7B12%7D%20%29%5E%7B12%284%29%7D)
![Amount=8575(1+\frac{0.071}{12} )^{48}](https://tex.z-dn.net/?f=Amount%3D8575%281%2B%5Cfrac%7B0.071%7D%7B12%7D%20%29%5E%7B48%7D)
Solving this we get;
Amount = $11381.94
For the next part we have EMI formula as,
![EMI=\frac{pr(1+r)^{n} }{(1+r)^{n-1}}](https://tex.z-dn.net/?f=EMI%3D%5Cfrac%7Bpr%281%2Br%29%5E%7Bn%7D%20%7D%7B%281%2Br%29%5E%7Bn-1%7D%7D)
p = 11381.94
![r=\frac{7.1}{\frac{12}{100} }=0.005917](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B7.1%7D%7B%5Cfrac%7B12%7D%7B100%7D%20%7D%3D0.005917)
![n=(12)(10)\\n=120](https://tex.z-dn.net/?f=n%3D%2812%29%2810%29%5C%5Cn%3D120)
![EMI=\frac{11381.94(0.005979)(1+0.005979)^{120} }{(1+0.005979)^{120}-1}](https://tex.z-dn.net/?f=EMI%3D%5Cfrac%7B11381.94%280.005979%29%281%2B0.005979%29%5E%7B120%7D%20%7D%7B%281%2B0.005979%29%5E%7B120%7D-1%7D)
EMI = $132.74
Now total payments made in 120 months (10 years) =
dollars
interest paid =
dollars
Hence, Roderigo will pay $7353.80
To learn more about the interest visit:
brainly.com/question/25793394
Answer:
x = imaginary number
x₁ = 2<em>i</em>
x₂ = 6<em>i</em>
Step-by-step explanation:
x/(x - 5) =4/(x - 4)
x(x-4) = 4(x-5)
x*x + x*-4 = 4*x * 4*-5
x² -4x = 4x - 20
x² -4x - 4x + 20 = 0
x² - 8x + 20 = 0
x = {-(-8)±√((-8²)-(4*1*20))} / (2*1)
x = {8±√(64-80)} / 2
x = {8±√-16} / 2
√(-16) ∈<em> i</em>
<em>i </em>= set of imaginary numbers
√-16 = -4<em>i</em>
then:
x = {8±(-4<em>i</em>) } / 2
x₁ = {8+(-4i)}/2 = {8-4i)/2 = 4i/2 = 2i
x₂ = {8-(-4)}/2 = {8+4i}/2 = 12i/2 = 6i