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ivanzaharov [21]
4 years ago
10

What is the value of x? sin64°=cosx

Mathematics
1 answer:
AnnZ [28]4 years ago
5 0
We can solve for the value of x by applying the principles of sine and cosines method and laws of the inversed sign.
Given:
sin64°=cosx
Perform sin64° which is equal to 0.8987940463
0.8987940473=cosx
perform inverse sign:
cos-0.8987940473=x
x=26°
Therefore, the value of x is 26°.
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Magnus purchased a new car for $35,865. It depreciates about 3.6% each year. What is the value of the car after 10 years?
Naddik [55]
1 year = 3.6 % depreciation
100-3.6=96.4

so you do 35,865 ×0.964 = 34,573.86

so the price after a year is £34,573.86

to find out what the price is after 10 years you do 34,573.86 (0.964) to the power of 10
which equals £23961.73

I hope that was helpful :)

5 0
4 years ago
(-2,-9) (-1,-7) (0,-5) (1,-3) (2,-1)
Ksju [112]
What’s the question? Maybe then I can help.
4 0
3 years ago
Write an equation for an ellipse centered at the origin, which has foci at (\pm\sqrt{12},0)(± 12 ​ ,0)left parenthesis, plus min
lora16 [44]

Answer:

\mathbf{\dfrac{x^2}{49^2} +\dfrac{y^2}{37^2} =1}

Step-by-step explanation:

Given that :

the foci of the ellipse is (±√12,0) and C0-vertices are (0,±√37)

The foci are (-C,0) and (C ,0)

the focus has x-coordinates so the focus is  lie on x- axis.

The major axis also lie on x-axis

The minor axis lies on y-axis so C0-vertices are (0,±√37)

The given focus C = ae = √12

Given co-vertices ( minor axis) (0,±b) = (0,±√37)

b= √37

We can therefore express the  relation between the focus and semi major axes and semi minor axes as:

\mathbf{c^2 = a^2 - b^2 } \\ \\ \mathbf{a^2 = c^2 + b^2 } \\ \\ \mathbf{c^2 = ( \sqrt12)^2 - (\sqrt 37)^2 }  \\ \\ \mathbf{c^2 = 49 } \\ \\  \mathbf{c = \sqrt{49 }}

The equation of ellipse formula is:

\dfrac{x^2}{a^2} +\dfrac{y^2}{b^2} =1

and we know that \mathbf{a=\sqrt{49}  \ \  and  \  \ b=\sqrt{37}}

Thus ; the equation of the ellipse at the origin is

\mathbf{\dfrac{x^2}{49^2} +\dfrac{y^2}{37^2} =1}

3 0
4 years ago
onsider the equation 3p – 7 + p = 13. What is the resulting equation after the first step in the solution?
Sindrei [870]

Answer:

4p=20

Step-by-step explanation:

The first step is to add like terms. Once you do this you are left with this equation.

7 0
4 years ago
The radius of a circle is 7 centimeters. What is the circle’s circumference?<br><br> Use 3.14 for pi
elixir [45]
The circle’s circumference is 43.98. Hope this helps!
8 0
4 years ago
Read 2 more answers
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