Answer:
B=16 ounces
C=24 ounces
B=1/0.75=133%
Step-by-step explanation:
we have that
A≡0.25B (25%), if A=4 ounces then B=4/0.25 = 16 ounces
C=1.5B (150%), if B=16 ounces then C=1.5*(16 ounces) = 24 ounces
D≡xB (?%), if D=12 ounces then x=12/16 = 0.75 ≡ 75%, but xB≡D ⇒ B≡D/x →
B≡12(1/0.75)= B=12*(1.333)→ B≅133%D
Answer: 75 degrees
Step-by-step explanation: supplementary means 180 so you do 180-105 which is 75
Answer:
-sinx
Step-by-step explanation:
a trig identity that is crucial to solving this problem is: sin^2 + cos^2 = 1
with knowing that, you can manipulate that and turn it into 1 - sin^2x = cos^x
so 1-sin^2x/sinx - cscx becomes cos^2x/sinx - cscx
it is also important to know that cscx is the same thing as 1/sinx
knowing this information, cscx can be replaced with 1/sinx
(cos^2x)/(sinx - 1/sinx)
now sinx and 1/sinx do not have the same denominator, so we need to multiply top and bottom of sinx by sinx; it becomes....
cos^2x
---------------------
(sin^2x - 1)/sinx
notice how in the denominator it has sin^2x-1 which is equal to -cos^2x
so now it becomes:
cos^2x
--------------
-cos^2x/sinx
because we have a fraction over a fraction, we need to flip it
cos^2x sinx
---------- * ----------------
1 - cos^2x
because the cos^2x can cancel out, it becomes 1
now the answer is -sinx
Answer:
Explanation:
<u>1. Given vector:</u>
- length: 4.00 mm = magnitude of the vector
- angle: 23.5º north of east = 23.5º from the x-axys (counterclockwise)
<u>2. y-component</u>
The y-component may be determined using the sine ratio, the angle from the x-axys (counterclockwise direction), and the magnitude of the vector.
- sine (23.5º) = y-component / magnitude
- y-component = magnitude × sine (23.5º) = 4.00 mm × sine (23.5º) = 1.59 mm.
The lower number of the fraction is the X value and since it's negative u go 3 to the right(if u loon at point T)and since it's a negative 4 on the top you go 4 down and if you would reverse it you would notice that 0|4 is 1 y value below the straight line so the coordinates are (3|5)
