Answer:
The Terry's resultant speed is 27mi/h
Direction of ferry=20°
Step-by-step explanation:
(-25,0) + ( 0, 9)= (-25, -9) is the vector representing the movement of the ferry
Speed of ferry = sqrt[(-25)^2 + (-9)^2]
Speed= sqrt (-625 + (-81))
Speed= sqrt(-706)
Speed=26.57mi/h
Nearest tenth,speed= 27mi/h
Tanz° = (-9/-25)
Tanz°= 0.36
Z°= tan^-1 0.36
Z= 19.80°
Nearest tenth,z=20°
Answer:
Step-by-step explanation:
-1/3y - 6 = -11
-1/3y - 6 + 6 = -11 + 6
-1/3y = -5
-1/3y * 3y = -5 * 3y
-1 = -15y
-1 / -15 = -15y / -15y
y = 1/15
Answer: B. -6, -4, -2, 0, 2
Step-by-step explanation: Use the attachment to help you with your answer.
Anyways, have an amazing day!
Answer:
180+54sqrt3
You have to use the formula that is contained within the lessons, the answer you should have before you format it like this is: 273.530743609
A.) Since there are no restrictions as to the dimensions of the candle except that their volumes must equal 1 cubic foot and that each must be a cylinder, we have the freedom to decide the candles' dimensions.
I decided to have the candles equal in volume. So, 1 cubic foot divided by 8 gives us 0.125 cubic foot, 216 in cubic inches.
With each candle having a volume of 216 cubic inches, I assign a radius to each: 0.5 in, 1.0 in, 1.5 in, 2.0 in, 2.5 in, 3.0 in, 3.5 in, and 4.0 in. Then, using the formula of the volume of a cylinder, which is:
V=pi(r^2)(h)
we then solve the corresponding height per candle. Let us let the value of pi be 3.14.
Hence, we will have the following heights (expressed to the nearest hundredths) for each of the radius: for
r=2.5 in: h=11.01 in
r=3.0 in: h= 7.64 in
r=3.5 in: h= 5.62 in
r=4.0 in: h= 4.30 in
r=4.5 in: h= 3.40 in
r=5.0 in: h= 2.75 in
r=5.5 in: h= 2.27 in
r=6.0 in: h= 1.91 in
b. each candle should sell for $15.00 each
($20+$100)/8=$15.00
c. yes, because the candles are priced according to the volume of wax used to make them, which in this case, is just the same for all sizes
