Please find the attachment for a better understanding of the explanation to this question.
As we can see from the diagram attached, the X axis represented by XX' and the Y axis represented by YY' intersect each other at the origin represented by O. Further, we notice that this intersection is at the angle 90 degrees or in other words the intersection is perpendicular. Thus, we have seen that the the x and y axes in the xy plane intersect perpendicularly. And hence, the answer is TRUE.
Please note that this is always the case and this is also known as orthogonality.
9514 1404 393
Answer:
38.2°
Step-by-step explanation:
The law of sines tells you ...
sin(x)/15 = sin(27°)/11
sin(x) = (15/11)sin(27°) . . . . . multiply by 15
x = arcsin((15/11)sin(27°)) ≈ arcsin(0.619078) ≈ 38.2488°
x ≈ 38.2°
_____
<em>Additional comment</em>
In "law of sines" problems, you need to identify a side and opposite angle that you know both values of. Then, you need to identify whether you're looking for an angle or a side, and whether its opposite side or angle is known. If two angles are known, you can always figure the third from the sum of angles in a triangle.
Here, we have angle 27° opposite side 11. We are looking for an angle, and we know its opposite side. This lets us use the ratio formula directly. Since the angle is the unknown, it is useful to write the equation with sines on top and sides on the bottom.
The given angle is opposite the shorter of the given sides, so this triangle has two solutions. We assume that we want the solution that is an acute angle (141.8° is the other solution). That assumption is based on the drawing. Usually, you're cautioned not to take the drawings at face value.
Answer:
let the size of the real item be x
then the size of model as prodived will be =
60% of X
60/100 × X
=3X/5 .
Well first lets do the distributive property so the left side is already done 28, now the right side -4 (2x+7) when you do that you get -8x-28. So now we have 28=-8x-28. So now I would move the -28 to the left side and when you move stuff to the other side you change the sign so the sign will be positive 28+28 which is 56. Now you have 56=-8x. Now divide both side by -8 to have -7=x
Your Answer: x = -7
-6(1+7x)+7(1+6x)=-2
This is False.
Use distributive property:
-6 -42x + 7 +42x = -2
Combine like terms to get:
1 = -2
Since 1 is not -2, it is false.
