Answer:
384 cm
Step-by-step explanation:
7.5 x 24 = 180
8.5 + 7.5 = 16
16 x 24 = 384
Answer:
x = 32
Step-by-step explanation:
∠BCA = ∠DBA (90 - ∠DBC)
∠A = ∠A
ΔABD similar to ΔACB
AC/AB = AB/AD
x / 8 = 8 / 2
x = 32
Usually, Δ stands for a difference: if you have two quantities a₂ and a₁, their difference a₂-a₁ can be shortened as Δa.
This said, your formula is not set up correctly: the linear speed can be found with the formula:
v = ω·r
where r is the radius and <span>ω is the angular frequency, which is given by:
</span>ω = Δα / Δt
Substituting this into the one above, you find the correct formula:
<span>v = (Δα / Δt) · r
The problem gives you directly </span>Δα, which is 1/3 rad, because does not say at what angle the point started moving and at what angle it stopped.
Similarly, for the time you have Δt, which is 20 s.
Therefore, plugging in the numbers you get:
v = (Δα / Δt) <span>· r = (1/3 </span>÷ 20) × 10 = 1/6 = 0.167 cm/s
The first given equation is:
x - 7y = -20
We can rewrite this equation as follows:
x = 7y - 20 ...........> equation I
The second given equation is:
-3x + 9y = 36 ..........> equation II
Substitute with equation I in equation II to get the value of the y as follows:
-3x + 9y = 36
-3(7y-20) + 9y = 36
-21y + 60 + 9y = 36
-12y = 36-60 = -24
y = (-24) / (-12) = 2
Now use the value of the y and substitute in equation I to get the value of the x as follows:
x = 7y - 20
x = 7(2) - 20 = 14 - 20 = -6
Based on the above calculations:
x = -6
y = 2
