Given:
Area of the trapezoid is 39 ft².
The image contains a measurement of 11 ft and 15 ft on its bases.
Area of a trapezoid = (a + b)/2 * h
39 ft² = (11ft + 15ft)/2 * h
39ft² = 26ft/2 * h
39ft² = 13ft * h
39ft² ÷ 13ft = h
3ft = h.
The height of the trapezoid is 3 feet.
Answer:
line 1: y= 1x+ 2
line 2: y= -1x-0.5
(usually 1 is omitted but I added for clarity)
Step-by-step explanation:
slope (x)= yfinal-yintial/xfinal-xinitial
b= where line intersects y axis
line 1: (-1,0), (0.5,1.5)
(1.5-0)/(0.5-(-1))
(1.5)/(1.5)
slope= 1x
y=x+ 2
line 2: (-0.5,0), (0.5,-1)
(-1-0)/(0.5-(-0.5))
(-1)/(1)
slope= -1x
y=-x-0.5
Answer:
See below
Step-by-step explanation:
a)
<u>Day 1</u>
- 70 min for 10 km
- Rate = 70/10 = 7 min/km
<u>Day 10</u>
- 2h40 min for 20 km
- 2*60+40 = 160 min for 20 km
- Rate = 160/20 = 8 min/km
<u>Day 20</u>
- 4 h 15 min for 30 km
- 4*60 + 15 = 255 min for 30 km
- Rate = 255/30 = 8.5 min / km
b)
<u>From the rate change we see:</u>
- 1 min increase when the distance increases from 10 km to 20 km
- 0.5 min increase when distance increases from 20 km to 30 km
So we see 1 min increase per twice the distance increase
- With the same rate increase we can expect 1 min increase from 20 km to 40 km, which gives us the rate of 9 min/km
- With same logic we get 9.055 km/min rate for 44 km distance
<u>Total time it takes:</u>
- 9.055*44 = 398.42 min = 398.42*1/60 min = 6 h and 38.42 min
Answer:
Step-by-step explanation:
Angle 1 and Angle 2 are identified as vertical pairs
Step-by-step explanation:
the volume of the bucket is
15,000 = 1.5 × 10⁴ ml
the trough holds
2.7 × 10⁵ ml
by calculating how often the volume of the bucket fits into the volume of the trough, we will know how many buckets of water are needed :
2.7 × 10⁵ / (1.5 × 10⁴) = 2.7/1.5 × 10⁵/10⁴ = 2.7/1.5 × 10¹ =
= 27/1.5 = 18
the rancher needs 18 buckets of water to fill the trough.