Answer:
Step-by-step explanation:
Perpendicular height will split the base into two equal parts.
Use Pythagorean theorem,
hypotenuse² = base² + altitude²
= 28² + 45²
= 784 + 2025
= 2809
hypotenuse = √2809 = √53 * 53 = 53 mm
Perimeter = 53 + 53 + 56 = 162mm
2/x = 15/9 divide 15 nd 9 nd u get C
For this item, we represent first the proportionality constant by the variable k. Being directly proportional to both b and c, these variable will be in numerator and d will be in the denominator. That is,
a = kbc / d
Substituting the known values,
400 = k(16)(5) / (2)
The value of k is 10. The equation that models the relationship is therefore,
a = 10bc/d
The answer is the last one,
The derivative of height with respect to time is
h'(t) = -32t +v
This will be zero when
0 = -32t +v
t = v/32
The height at this time is
h(v/32) = -16(v/32)² + v(v/32) = (v²)(-1/(2·32) +1/32) = v²/64
Setting this to 400, we get
400 = v²/64
v = √(64·400) = 160
The initial velocity required so that the maximum height is exactly 400 feet is
160 ft/s.