To solve the the question we proceed as follows:
From trigonometric laws
(cos x)^2+(sin x)^2=1
(cos y)^2+(sin y)^2=1
sin (x-y)=sin x sin y-sin y cos x
cos (x-y)=cos x cos y+ sin x sin y
si x=8/17
cos x=sqrt(1-(sin x)^2)=sqrt(1-64/289)=sqrt(225/289)=15/17
cos y=3/5
sin x= sqrt(1- (cos x)^2)= sqrt(1-9/25)=sqrt(16/25)=4/5
thus
tan (x-y)=[sin (x-y)]/[cos (x-y)]
=[sin x cos y-sin y cos x]/[cos x cos y+sin x sin y]
plugging in the values we obtain:
[8/17 *3/5-4/5*15/7]/[15/17*3/5+8/17*4/5]
simplifying
[24/85-60/85]/[45/85+32/85]
=-36/77
Answer:
y= -2/3x+3
Step-by-step explanation:
Parallel lines have the same slope but different y-intercepts.
y=-2/3x is your original equation
Your slope is still -2/3
y=mx+b
y=-2/3x + b
Substitute the points from the coordinates
5 = -2/3(-3) + b
5 = 2 + b
-2 -2
b=3
Your parallel line equation is: y= -2/3x+3
Have a great day!
Answer:
256 sq cm
Step-by-step explanation:
cube is a three-dimensional figure with six congruent square faces. Since each face is congruent, each of the edges have the same length.
The cross-section described is shown below.
The cross-section is also a square which is congruent to the other faces of the cubes. Therefore, the edges of the cross-section will each measure 16 cm. Find the area by using the formula for the area.
A=lw
=(16cm) (16cm)
=256 sq cm
So, the area of the cross-section is 256 sq cm.
hope this helps some wayStep-by-step explanation:
Answer:
78
Step-by-step explanation:
18+19+20+21=78
Answer:
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Step-by-step explanation: