Answer:
![\boxed{c = 5.7 units}](https://tex.z-dn.net/?f=%5Cboxed%7Bc%20%3D%205.7%20units%7D)
Step-by-step explanation:
<u><em>Using Pythagorean Theorem:</em></u>
=> ![c^2 = a^2+b^2](https://tex.z-dn.net/?f=c%5E2%20%3D%20a%5E2%2Bb%5E2)
Where c is hypotenuse, a is base and b is perpendicular and ( a, b = 4)
=> ![c^2 = 4^2+4^2](https://tex.z-dn.net/?f=c%5E2%20%3D%204%5E2%2B4%5E2)
=> ![c^2 = 16+16](https://tex.z-dn.net/?f=c%5E2%20%3D%2016%2B16)
=> ![c^2 = 32](https://tex.z-dn.net/?f=c%5E2%20%3D%2032)
Taking sqrt on both sides
=> c = 5.7 units
Answer:
ok
Step-by-step explanation:
Answer:
- g = -1110p +4300.9
- 804 gallons
Step-by-step explanation:
a) Price is the independent variable, so the data we are given can be written as ...
(price, gallons) = (2.99, 982) and (2.79, 1204)
Using the 2-point form of the equation for a line, we have ...
g = (g2 -g1)/(p2 -p1)(p -p1) +g1
g = (1204 -982)/(2.79 -2.99)(p -2.99) +982
g = -1110(p -2.99) +982 = -1110p +4300.9
g = -1110p +4300.9
__
b) When p = 3.15, the predicted sales volume is ...
g = -1110(3.15) +4300.9 = 804.4
Weekly sales are predicted to be 804 gallons at a price of $3.15.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Blue tripp:
Hikes 2/3 miles every 1/2 hour
Yellow troop:
Hikes 3/4 miles every 1/3 hour
How long does it take each troop to walk 1 1/2 miles, 1/2 mile, and 3/4 mile?
To hike 1 1/2 miles
Blue troop:
2/3 miles = 1/2 hours
3/2 miles = x
2/3x = 3/4
x = 3/4 * 3/2
x = 9/8 = 1 1/8 hours
Yellow troop:
3/4 = 1/3 hours
3/2 = x
3/4x = 3/6
x = 3/6 * 4/3
x = 12/18 = 2/3 hours
To hike 1/2 mile :
Blue troop:
2/3 miles = 1/2 hours
1/2 miles = x
2/3x = 1/4
x = 1/4 * 3/2
x = 3/8 hours
Yellow troop:
3/4 = 1/3 hours
1/2 = x
3/4x = 1/6
x = 1/6 * 4/3
x = 4/18 = 2/9 hours
To hike 3/4 miles :
Blue troop:
2/3 miles = 1/2 hours
3/4 miles = x
2/3x = 3/8
x = 3/8 * 3/2
x = 9/16 hours
Yellow troop:
3/4 = 1/3 hours
3/4 = x
3/4x = 3/12
x = 1/4 * 4/3
x = 4/12
x = 1/3 hours