Answer:
4 m
Step-by-step explanation:
The geometry is that of a right triangle with hypotenuse 8.5 m and one side of length 7.5 m. If "b" represents the distance from the base of the ladder to the wall, the Pythagorean theorem tells us ...
b² + 7.5² = 8.5²
b² + 56.25 = 72.25
b² = 16 . . . . . . . . . . . . . subtract 56.25
b = 4 . . . . meters . . . (take the square root)
The base of the ladder is 4 m from the wall.
_____
You may recognize this as the 8-15-17 Pythagorean triple, scaled by 1/2.
Answer:
(a) 2 degree celsius per hour
(b) 3 degree celsius per hour.
Step-by-step explanation:
From the question,
(a) Avearge rate of rise in temperature per hour(T') = Rise in temperature(T)/Time required for the rise(t).
T' = T/t.................... Euqation 1
Rise in temperature (T) = 4 degree celsius, t = 10.00 am to noon = 2 hours.
Substitute into equation 1
T' = 4/2
T' = 2 degree celsius per hour.
(b) Also,
Average rate of fall in temperature per hour (T') = Fall in temperature (T)/Time(t)
T' = T/t
Given: T = 6 degree celsius, t = 3:00 pm to 5:00 pm = 2 hours
T' = 6/2
T' = 3 degree celsius per hour
Answer:
2x + 1/2 sq. ft
Step-by-step explanation:
Surface area = 2(lw+wh+lh)
Given
length l = x ft
width w = 1/2 ft
height h = 1/2ft
Substitute
Surface area = 2(x(1/2)+(1/2)(1/2)+x(1/2))
Surface area = 2(x/2+1/4+x/2)
Surface area = 2(2x/2 + 1/4)
Surface area = 2(x + 1/4)
Surface area = 2x + 2/4
Surface area = 2x + 1/2 sq. ft
first blank is decrease and second blank is almost stay the same
