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VashaNatasha [74]
3 years ago
6

What is the value of COS H? Round to four decimal places if needed.

Mathematics
1 answer:
german3 years ago
6 0

Answer:

Final answer is approx \cos\left(H\right)=0.4235.

Step-by-step explanation:

using given information from the attached picture, we need to find the value of cos(H) so let's apply the formula of cosine.

\cos\left(\theta\right)=\frac{adjacent}{hypotenuse}

\cos\left(H\right)=\frac{GH}{FH}

\cos\left(H\right)=\frac{36}{85}

\cos\left(H\right)=0.423529411765

Hence final answer is approx \cos\left(H\right)=0.4235.

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Geometry. Please help. Urgent.
zysi [14]

Answer:

I believe the answer will be 63 degrees not 100% sure tho

Step-by-step explanation:

The reason is because triangle FHE measures 27 degrees it looks like FHE is a right triangle so there needs to be a total of 90 degrees in a right triangle so 90-27=63 like I said not 100% correct

7 0
3 years ago
Two parallel lines are crossed by a transversal. If measure of angle 6 is 123.5 then measure of angle 1 is.....
GalinKa [24]
The picture in the attached figure

we know that
m ∠ 6=123.5°

m ∠6+m∠2=180°-------> by supplementary angles
so
m∠2=180-m∠6-----> 180-123.5------> m∠2=56.5°

m∠1=m∠2--------> by corresponding angles
so
m∠1=56.5°

the answer is
m∠1 is 56.5°

7 0
3 years ago
5. A flock of geese flies 50 miles per hour. Write a linear
MrMuchimi

Answer:

y=50x+0

Step-by-step explanation:

y=mx+b is y-intercept form

I will make x= hours and y= distance (miles)

every 1 you add to x has to represent 50 miles

for the y intercept, it was unspecified so I assumed 0

Hope this helps :)

7 0
2 years ago
Read 2 more answers
Use multiplication or division of power series to find the first three nonzero terms in the Maclaurin series for each function.
Lunna [17]

Answer:

The first three nonzero terms in the Maclaurin series is

\mathbf{ 5e^{-x^2} cos (4x)  }= \mathbf{ 5 ( 1 -9x^2 + \dfrac{115}{6}x^4+ ...) }

Step-by-step explanation:

GIven that:

f(x) = 5e^{-x^2} cos (4x)

The Maclaurin series of cos x can be expressed as :

\mathtt{cos \ x = \sum \limits ^{\infty}_{n =0} (-1)^n \dfrac{x^{2n}}{2!} = 1 - \dfrac{x^2}{2!}+\dfrac{x^4}{4!}-\dfrac{x^6}{6!}+...  \ \ \ (1)}

\mathtt{e^{-2^x} = \sum \limits^{\infty}_{n=0}  \ \dfrac{(-x^2)^n}{n!} = \sum \limits ^{\infty}_{n=0} (-1)^n \ \dfrac{x^{2n} }{x!} = 1 -x^2+ \dfrac{x^4}{2!}  -\dfrac{x^6}{3!}+... \ \ \  (2)}

From equation(1), substituting x with (4x), Then:

\mathtt{cos (4x) = 1 - \dfrac{(4x)^2}{2!}+ \dfrac{(4x)^4}{4!}- \dfrac{(4x)^6}{6!}+...}

The first three terms of cos (4x) is:

\mathtt{cos (4x) = 1 - \dfrac{(4x)^2}{2!}+ \dfrac{(4x)^4}{4!}-...}

\mathtt{cos (4x) = 1 - \dfrac{16x^2}{2}+ \dfrac{256x^4}{24}-...}

\mathtt{cos (4x) = 1 - 8x^2+ \dfrac{32x^4}{3}-... \ \ \ (3)}

Multiplying equation (2) with (3); we have :

\mathtt{ e^{-x^2} cos (4x) = ( 1- x^2 + \dfrac{x^4}{2!} ) \times ( 1 - 8x^2 + \dfrac{32 \ x^4}{3} ) }

\mathtt{ e^{-x^2} cos (4x) = ( 1+ (-8-1)x^2 + (\dfrac{32}{3} + \dfrac{1}{2}+8)x^4 + ...) }

\mathtt{ e^{-x^2} cos (4x) = ( 1 -9x^2 + (\dfrac{64+3+48}{6})x^4+ ...) }

\mathtt{ e^{-x^2} cos (4x) = ( 1 -9x^2 + \dfrac{115}{6}x^4+ ...) }

Finally , multiplying 5 with \mathtt{ e^{-x^2} cos (4x) } ; we have:

The first three nonzero terms in the Maclaurin series is

\mathbf{ 5e^{-x^2} cos (4x)  }= \mathbf{ 5 ( 1 -9x^2 + \dfrac{115}{6}x^4+ ...) }

7 0
3 years ago
Consuelo deposited an amount of money in a saving account tha earned 6.3% simple interest. After 20 years, she earned $5,922 in
julia-pushkina [17]

Answer:

5922=Px6.3%x20

5922=Px1.26

P=5922/1.26

P=4700

Step-by-step explanation:

4 0
2 years ago
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