Given:
Planes X and Y are perpendicular to each other
Points A, E, F, and G are points only in plane X
Points R and S are points in both planes X and Y
Lines EA and FG are parallel
The lines which could be perpendicular to RS are EA and FG.
Answer:
<u><em>D</em></u>
Step-by-step explanation:
Quotient means that it is a division equation.
Hope this helps!
Answer:
![\sqrt3](https://tex.z-dn.net/?f=%5Csqrt3)
Step-by-step explanation:
To find:
The value of
= ?
Solution:
Kindly consider the equilateral
as attached in the answer area.
Let the side of triangle =
units
Let us draw the perpendicular from vertex A to side BC.
It will divide the side BC in two equal parts.
i.e. BD = DC = ![\frac{a}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7B2%7D)
Using Pythagorean Theorem in
:
![\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}](https://tex.z-dn.net/?f=%5Ctext%7BHypotenuse%7D%5E%7B2%7D%20%3D%20%5Ctext%7BBase%7D%5E%7B2%7D%20%2B%20%5Ctext%7BPerpendicular%7D%5E%7B2%7D)
Side AD = ![\frac{\sqrt3}{2}a](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt3%7D%7B2%7Da)
Using Trigonometric ratio:
![tan\theta = \dfrac{Perpendicular}{Base}](https://tex.z-dn.net/?f=tan%5Ctheta%20%3D%20%5Cdfrac%7BPerpendicular%7D%7BBase%7D)
![tanB = \dfrac{AD}{BD}](https://tex.z-dn.net/?f=tanB%20%3D%20%5Cdfrac%7BAD%7D%7BBD%7D)
Putting the values of AD and BD:
![tan60^\circ=\dfrac{\frac{\sqrt3}{2}a}{\frac{1}{2}a}\\\Rightarrow tan60^\circ = \bold{\sqrt3}](https://tex.z-dn.net/?f=tan60%5E%5Ccirc%3D%5Cdfrac%7B%5Cfrac%7B%5Csqrt3%7D%7B2%7Da%7D%7B%5Cfrac%7B1%7D%7B2%7Da%7D%5C%5C%5CRightarrow%20tan60%5E%5Ccirc%20%3D%20%5Cbold%7B%5Csqrt3%7D)
Answer:
x = 3 should be the answer
Step-by-step explanation:
y is not graphed so y isn't part of the equation while x is so its X = K (K being the number that it goes up on) same thing applies to y if its horizontal then the equation is Y = K)
Answer: Eva's dog actually gained 3/8 pounds ( 0.375pounds)
Step-by-step explanation:
Step 1
Given that
old weight = 1 7/8 pounds
New weight = 2 1/4 pounds
weight gained = New weight - Old weight
Step 2
weight gained = New weight - Old weight
2 1/4 pounds - 1 7/8 pounds
2.25 pounds - 1.875 pounds
0.375pounds = 3/8 pounds