Answer:
below
Step-by-step explanation:
IF l₁ and l₂ are parallel, then:
Angles 2, 4, 5, 8 all equal 86 degrees
Then angles 1, 6, 3 , 8 all equal 180 - 86 which is 94 degrees
Answer:
SA = 615.4 yd²
Step-by-step explanation:
The surface area (SA) of a sphere is calculated as
SA = 4πr² ← r is the radius
Here diameter = 14, thus r = 14 ÷ 2 = 7, then
SA = 4π × 7² = 4π × 49 = 196π = 196 × 3.14 ≈ 615.4 yd²
Answer:
x=-2/5
Step-by-step explanation:
4(-3x-1)=13x+6 ~ Distribute the 4 into the parenthesis
-12x-4 = 13x+6 ~ add 12x to both sides
-4= 25x + 6 ~ subtract 6 from both sides
-10 =25x ~ divide by 25
-10/25 = x ~ simplify the fraction by dividing the num. and den by 5
-2/5 =x
Answer:
6a) i- 2hrs 36mins ii- 3hrs 12mins
b) car A≈ 76.9km/h car B≈ 62.5km/h
c)------
7a) 35km
b) car A=75km car B=60km
c) 30km
d) car A≈36mins car B≈48mins
Step-by-step explanation:
6a) Using the graph follow the lines until they finish then go downwards until you get to the x-axis. The x-axis is going up by 12mins for each square.
b) Using the answer from a, you divide 200km by the time.
For car A 2hrs 36mins becomes 2.6 because 36mins/60mins=0.6
∴ car A: 200/2.6≈ 76.92km/h
For car B 3hrs 12mins becomes 3.2 because 12mins/60mins=0.2
∴ car B: 200/3.2≈ 62.5km/h
7a) Using the graph go down from where the line of car A finished to meet car B. The y-axis is going up by 5km for each square.
b) Starting from the x-axis at 1 hour go upwards to see where you meet the car B line (60km) and car A line(75km). (sorry if that does not really make sense).
c) Difference from car A line to car B:
155km-125km=30km
d) Going across from 50km meet car A line and go down to see it has been travelling for approx. 36mins. Then continue across to car B line, go down to see it reached 50km at approx. 48mins.
Hope this helps.
Answer:
$5,820
Step-by-step explanation:
The average net cash flow during the month is total cash receipt minus total payments.
Cash receipt on the month's sales=60%*$20,000*98.5%=$11820
60% cash received ,the 98.5% is after cash discount of 1.5%
cash receipt from previous month sale=40%*$20,000=$8,000
Payment for purchases=$20,000*40%=$8,000
payment for wages,rent and taxes=$20,000*30%=$6000
Total cash inflow=$11,820+$8,000=$19820
total cash outflow=$8,000+$6,000=$14,000
average net cash flow=$19,820-$14,000=$5,820
