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ArbitrLikvidat [17]
2 years ago
9

HELP URGENT!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
Ne4ueva [31]2 years ago
4 0

Answer: All expect cos of theta=17/8

Step-by-step explanation: Fist, let find a equal cos equation. let use the idenitiy(cos^{2}Ф+sin^{2}Ф=1.  cos^{2}+15/17^2=1, cos^{2}=1-225/289. cos^{2}=289/289-225/289.  cos^{2}=64/289. sqr root of cos^{2}= 8/17.  

Using Other Formulas, Since secant is the reciprocal of cosine. sec(theta)=17/8.   since cosecant is the inverse of sin.  csc(theta)=17/15.

Using the formula sin x/cos x= tan x , \frac{15}{17}=\frac{8}{17} =15/8.

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P is the point on the line 2x+y-10=0 such that the length of OP, the line segment from the origin O to P, is a minimum. Find the
nirvana33 [79]
The minimum distance is the perpendicular distance. So establish the distance from the origin to the line using the distance formula.
The distance here is: <span><span>d2</span>=(x−0<span>)^2</span>+(y−0<span>)^2
</span>                                      =<span>x^2</span>+<span>y^2
</span></span>
To minimize this function d^2 subject to the constraint, <span>2x+y−10=0
</span>If we substitute, the y-values the distance function can take will be related to the x-values by the line:<span>y=10−2x 
</span>You can substitute this in for y in the distance function and take the derivative:
<span>d=sqrt [<span><span><span>x2</span>+(10−2x<span>)^2]
</span></span></span></span>
d′=1/2 (5x2−40x+100)^(−1/2)   (10x−40)<span>
</span>Setting the derivative to zero to find optimal x,
<span><span>d′</span>=0→10x−40=0→x=4
</span>
This will be the x-value on the line such that the distance between the origin and line will be EITHER a maximum or minimum (technically, it should be checked afterward).
For x = 4, the corresponding y-value is found from the equation of the line (since we need the corresponding y-value on the line for this x-value).
 
Then y = 10 - 2(4) = 2.
 So the point, P, is (4,2).
8 0
3 years ago
Can you figure thus out?
babymother [125]

Answer:

315

Step-by-step explanation:

The number is divisible by 3,5,7 and 9. Since 3 is a factor of 9, this number is divisible by 5,7, and 9.

5x7x9= 315.

3 0
1 year ago
I need to find the steady-state vector.
natta225 [31]
Pls trust me a give me the crown it’s 0.5
5 0
2 years ago
Nool
larisa [96]

Answer:

Step-by-step explanation:

4x = 60

60/4 = 15

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4 0
2 years ago
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3 years ago
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