Step-by-step explanation:
Use formula for cube volume:
V=a³
Then add informations you already have and you are done.
V=0,5³
V=0,125 m³
Answer:
x = 6 y = 5
Step-by-step explanation:
<u><em>X VALUE</em></u>
3x+11 = 5x-1
12 = 2x
x= 6
<em><u>Y VALUE</u></em>
4y-1 = 19
4y = 20
y = 5
Pictures always help; see the one I've attached for reference.
Call the first vector (from HQ to the supply drop) u and the second vector (from supply drop to medics) v. We then want to find w, the vector from the medics to HQ, which corresponds to the vector -(u + v). (This is because u + v is the vector pointing from HQ to the medics; we're talking about the one in the opposite direction.)
Write the vectors in horizontal/vertical component form:
u = (125 km) (cos 235º x + sin 235º y) = (-71.70 x - 102.39 y) km
v = (75 km) (cos 110º x + sin 110º y) = (-25.65 x + 70.48 y) km
Why these angles?
- "55 degrees south of west" is 235º; due west is 180º from the positive horizontal axis, and you add 55º to this
- "20 degrees west of north" is 110º; due north is 90º, so add 20º to this
Add the vectors:
u + v = (-97.35 x - 31.92 y) km
Multiply by -1 to get the vector w:
w = -(u + v) = (97.35 x + 31.92 y) km
The distance covered by this vector is equal to its magnitude:
||w|| = √((97.35 km)^2 + (31.92 km)^2) = 102.45 km
The direction <em>θ</em> is given by
tan<em>θ</em> = (31.92 km)/(97.35 km) ==> <em>θ</em> = 18.15º
Answer:
B
Step-by-step explanation:
We're finding the equivalent value to 3/4. So 3/4 would be equal to or equivalent to 12/16. We know this because 12/16 simplified = 3/4. So since 3/4 is equal to 12/16, that means it would take us 12 tablespoons of butter to make the banana bread.
I hope this helps! ^_^