9514 1404 393
Answer:
- base: 2.18 m
- height: 7.35 m
Step-by-step explanation:
Let b represent the base of the triangle in meters. Then the height is ...
h = 3 +2b
and the area is ...
A = 1/2bh
8 = 1/2(b)(3 +2b)
16 = 3b +2b^2 . . . . . . . multiply by 2 and eliminate parentheses
2(b^2 +3/2b + (9/16)) = 16 + 9/8 . . . . . . complete the square
2(b +3/4)^2 = 17.125
(b +3/4)^2 = 8.5625 . . . . . divide by 2
b + 0.75 = √8.5625 ≈ 2.9262
b = -0.75 +2.9262 = 2.1762
h = 3 +2b = 7.3523
The base is about 2.18 meters and the height is about 7.35 meters.
D would be the highest value
Answer:
125.66
Step-by-step explanation:
Answer:
36.67 [mile/hour].
Step-by-step explanation:
1) use the formula: V=S/t, where S - entire jorney, v - average speed (required to calculate), t - elapsed entire time.
2) according to the formula above S=50+60=110 miles; t= 50/40 + 1.75=1.25+1.75=3 hours.
3) after the substitutuion 110 and 3 into the formula above:
v=110/3≈36.67 miles/h.
Given:
40 pages in 1.6 minutes
40 / 1.6 = 25 pages per minute
25 x 5 minutes = 125 pages
40 / 1.6 = x / 5
40*5 = 1.6x
200 = 1.6x
200/1.6 = x
125 = x pages
25 : 1 = 150 : x
25x = 150
x = 150/25
x = 6 minutes
