Answer:he would require 8.33 gallons of gas
Step-by-step explanation:
Mr Dow lives 16 miles from his workplace he drives to and from work five days a week. It means that the distance that he drives everyday to and from work would be
16 × 2 = 32 miles.
Then, the total distance that he drives in a week to and from work would be
32 × 5 = 160 miles
if his car gets 19.2 miles per gallon, it means that the amount of gas that he would use in one week, commuting to and from work would be
160/19.2 = 8.33 gallons
Answer:
sin^-1 (1/2) = 30°
Step-by-step explanation:
* Lets explain how to find the trigonometry functions from the unit circle
- The unit circle is the circle whose radius is 1 unit
- It intersects the four axes at:
# Positive part of x-axis at (1 , 0) and negative part at (-1 , 0)
# Positive part of y-axis at (0 , 1) and negative part at (0 , -1)
- The terminal of any angle intersect it at point (x , y) where x² + y² = 1
- If The angle between the terminal side and the x-axis is Ф , then
# The adjacent side of Ф = x
# The opposite side of the angle Ф = y
- In the problem the terminal side lies in the first quadrant
∴ all the trigonometry functions are positive
∵ sin Ф = opposite/hypotenuse
∵ The opposite = 1/2 and the hypotenuse is the terminal side = 1
∴ sin Ф = 1/2 ÷ 1 = 1/2
- To find Ф use the inverse function sin^-1 Ф
∵ sin Ф = 1/2
∴ Ф = sin^-1 (1/2)
∴ Ф = 30°
* sin^-1 (1/2) = 30°
Answer:
3.1
4.2
5.2
42
Step-by-step explanation: Just copy the other cone and find half of the diameter to find the radius the cones are congruent.
Monthly depreciation is calculated as follows:
65,000 (Cost) – 5,000 (Salvage Value) ÷ 60 (5 years X 12 months per year) = 1,000 in depreciation per month.
a) Accumulated depreciation from 1/1/12 to 1/1/15 is 36,000 (12 months for 2012, 2013, & 2014).
Assuming that sale was a Cash sale, the journal entry would look like this:
1/1/15
Cash (DR) 31,000
Accumulated Depreciation (DR) 36,000
Equipment (CR) 65,000
Gain on Sale of Equipment (CR) 2,000
b) Accumulated depreciation from 1/1/12 to 5/1/15 is 40,000 (12 months for 2012, 2013, 2014, & 4 months for 2015).
Assuming that sale was a Cash sale, the journal entry would look like this:
5/1/15
Cash (DR) 31,000
Accumulated Depreciation (DR) 40,000
Equipment (CR) 65,000
Gain on Sale of Equipment (CR) 6,000
c) Accumulated depreciation from 1/1/12 to 1/1/15 is 36,000 (12 months for 2012, 2013, & 2014).
Assuming that sale was a Cash sale, the journal entry would look like this:
1/1/15
Cash (DR) 11,000
Accumulated Depreciation (DR) 36,000
Loss on Sale of Equipment (DR) 18,000
Equipment (CR) 65,000
d) Accumulated depreciation from 1/1/12 to 10/1/15 is 45,000 (12 months for 2012, 2013, 2014, & 9 months for 2015).
Assuming that sale was a Cash sale, the journal entry would look like this:
10/1/15
Cash (DR) 11,000
Accumulated Depreciation (DR) 45,000
Loss on Sale of Equipment (DR) 9,000
Equipment (CR) 65,000
Not my answers, but I hope this will help you. :)
Answer:
Step-by-step explanation:
b. p(10.5<x<11.2)= p(x<11.2)-p(x<10.5)
p(x<11.2)= (11.2-9.7)/1 = 1.5 = 0.9332
p(x<10.5)= (10.5-9.7)/1= .8= 0.7881
.9332-0.7881= .1451
c. 9.7-.253, 9.7+.253
9.447, 9.953
