Answer:
x=2, y=8
Step-by-step explanation:
Set up the equations:
4x=y
1/4x+1/y=1/4
---------------------
1/y+1/y=1/4
2/y=1/4
cross product
y*1=2*4
y=8
4x=8
x=8/4=2
Answer:
-(1/4πϵ0)Qq/r^2
Step-by-step explanation:
Firstly we have to assume the uniform shell of radius R as point charge as the point charge.
Then apply coulomb equation of electrostatic charge (Fe=q1q2/4πϵ0r2) where the q1 and q2 are point charges and r is the distance from the centre of charges.
But remember there's a condition that r>>R otherwise the charge will get non-uniformely distributed.
Applying trigonometric ratios, the missing segments lengths in the image attached below are: <em>a = 8√3; b = 12.</em>
<h3>The Trigonometric Ratios</h3>
- SOH is sin ∅ = opp/hyp
- CAH is cos ∅ = adj/hyp
- TOA is tan ∅ = opp/adj
- SOHCAHTOA is used to solve right triangles.
Given the right triangle in the mage attached below, we would find the missing sides as follows:
<em>Find a:</em>
Reference angle (∅) = 30°
opposite = 4√3
hypotenuse = a
sin 30 = (4√3)/a
a = (4√3)/sin 30
a = (4√3)/(1/2) (sin 30 = 1/2)
a = (4√3)×2
a = 8√3
<em>Find b:</em>
Reference angle (∅) = 60°
opposite = b
adjacent = 4√3
tan 60 = b/(4√3)
b = tan 60 × 4√3
b = √3 × 4√3
b = 12
Therefore, applying trigonometric ratios, the missing segments lengths in the image attached below are: <em>a = 8√3; b = 12.</em>
Learn more about trigonometric ratios on:
brainly.com/question/4326804
Answer:
m∠P =119
m∠Q = 61
Step-by-step explanation:
m∠P = 2(∠Q)-3 or p=2(q)-3
supplementary angles so they combine to equal 180!
soooooo we can take
q+p=180
input what p equals and you get
q+ 2(q)-3=180
3q-3=180
3q=183
q=61
now we have what m∠Q is, so just subtract that from 180 to get m∠P
180-61=119