Answer:
80 degrees
Step-by-step explanation:
they are vertical pirs (across from each other) so they have the same measure
Total distance = sum of velocity * time for both legs of the journey; let the time taken in air be t hence time taken in water is 12-t 127 = 16*t + 3(12-t) 127 = 16t + 36 - 3t 127 - 36 = 16t - 3t 91 = 13t t = 91/13 = 7 seconds Hence time taken in air = 7 seconds time taken in water is 12 - 7 =<span> 5 seconds</span> checking; 16*7 + 3*5 = 127
To solve using completing square method we proceed as follows:
x^2-10x+8=0
x^2-10x=-8
but
c=(b/2)^2
c=(10/2)^2=25
thus we can add this in our expression to get
x^2-10x+25=8+25
factorizing the LHS we get:
(x-5)(x-5)=33
(x-5)^2=33
getting the square roots of both sides we have:
x-5=+/-√33
x=5+/-√33
Answer:
9 ft
Step-by-step explanation:
Let's begin with the formula for the volume of a square pyramid. If s is the base length, then the area of the base is s^2. The volume of the pyramid is then V = (1/3)(base area)(height). We know the volume and the base length (s), and want to find the height. Solving V = (1/3)(base area)(height)
for height, we get:
3V = (base area)(height), or
3V
---------------- = height
base area
Substituting 75 ft^3 for V and (5 ft)^2 for base area, we get:
3(75 ft^3) 9 ft
height = ------------------ = ----------------- = 9 ft
25 ft^2 1
The correct answer is B. 7.8