Answer:
4
Step-by-step explanation:
3s=14-2
3s=12
3s/3=12/3
s=4
Lateral surface area of the prism = 920 in²
Total surface area of the prism = 1180 in²
Solution:
Length of the prism = 13 in
Width of the prism = 10 in
Height of the prism = 20 in
Lateral surface area of the prism = 2(l + w)h
= 2(13 + 10) × 20
= 2(23) × 20
= 920 in²
Lateral surface area of the prism = 920 in²
Total surface area of the prism = Lateral area + 2lw
= 920 + 2 × 13 × 10
= 920 + 260
Total surface area of the prism = 1180 in²
Hence Lateral surface area of the prism = 920 in²
Total surface area of the prism = 1180 in²
Answer:
Her speed on the summit was 35 mph.
Step-by-step explanation:
Her speed on the summit was "x" mph while her speed while climbing was "x - 10" mph. The distance she rode uphill was 55 miles and on the summit it was 28 miles. The total time she explored the mountain was 3 hours. Therefore:
time uphill = distance uphill / speed uphill = 55 / (x - 10)
time summit = distance summit / speed summit = 28 / x
total time = time uphill + time summit
3 = [55 / (x - 10)] + 28 / x
3 = [55*x + 28*(x - 10)]/[x*(x - 10)]
3*x*(x - 10) = 55*x + 28*x - 280
3x² - 30*x = 83*x - 280
3x² - 113*x + 280 = 0
x1 = {-(-113) + sqrt[(-113)² - 4*(3)*(280)]}/(2*3) = 35 mph
x2 = {-(-113) - sqrt[(-113)² - 4*(3)*(280)]}/(2*3) = 2.67 mph
Since her speed on the uphill couldn't be negative the speed on the summit can only be 35 mph.
