Answer: 216 ml
Step-by-step explanation:
400 grams = 480 ml
180 grams = ?
Since the value of 180 grams in milliliters is unknown, let the unknown be Z
Thus, 400 grams = 480 ml
180 grams = Z
To get the value of Z, cross multiply
Then, Z x 400 grams = 480ml x 180 grams
400Z = 86400
Divide both sides by 400
400Z/400 = 86400/400
Z = 216
Thus, 180 grams is equal to 216 milliliters.
-7 is losing the fewest as it is the smallest number, and the number that is to the left of the number line.
5% is equal to .05
so
46*.05= 2.3
2.3 is 5% of 46 :)
3/x<span>÷5=1/10
3</span><span>÷5=1/10*x
6/10=1/10*x
6=x</span>
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