Answer:
x =(-8+√464)/-8=1-1/2√ 29 = -1.693
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
A is wrong because that equals 8.92... to the negative 3rd power.
B is incorrect because I calculated, and found that 1/7 x 1/63 =0. something.
C is correct because I calculated, and found that 1/7 x 63 = 9.
D is incorrect because 16 x 1/7 = 2.28...
Answer:
107.8°
Step-by-step explanation:
Here we use the inverse tangent function to determine the angle (direction) of the boat.
"16 km west and 50 km north" places us in Quadrant III. One way in which to determine the angle in question, measured from the positive x-axis, is to find the value of arctan 50/16 and then subtract this angle from 180° (or from π radians).
This results in π - arctan 50/16, or
π - 1.26 radians, or 180° - 72.2°, or 107.8°
The boat's direction is 107.8° as measured counterclockwise from the positive x-axis (that is, from ∅ = 0°).
Volume of the prism is given by:
V=(base area)*(height)
thus:
base area=1/2(a+b)*h
=1/2(1.4+0.6)*2
=2 m²
Thus the volume will be:
V=2*1
V=2 m³
Volume after 30 min:
V=2×(0.8)
V=1.6 m³
Rate of emptying the tank is:
(2-1.6)/30=1/ 75 m³/min
time taken to empty the tank:
time=volume/rate
time=2/(1/75)
=150 min
Answer: Assuming that AEB is a straight line (180 degrees) we can subtract 44 degrees from the whole 180 degrees to get 136 degrees, which means AED=136 degrees.