Answer:
each friend would get 1/6 when you divide 1/2 by 3
Step-by-step explanation:
Answer:
Step-by-step explanation:
a) The maximum weight M that can be supported by a beam is jointly proportional to its width w and the square of its height h, and inversely proportional to its length L. If k represent the constant of proportionality, the expression would be
M = kwh²/L
b) if w = 4 inches, h = 6 inches, length = 12 ft
1 foot = 12 inches
12 ft = 12 × 12 = 144 inches. Therefore
L = 144 inches
M = 4800lb
Substituting these values into
M = kwh²/L, it becomes
4800 = (k × 4 × 6²)/144
4800 = k
The equation becomes
M = 4800wh²/L
c) if L = 10ft(10 × 12 = 120 inches),
h = 10 inches
w = 3 inches, then
M = 4800 × 3 × 10²/120
M = 12000 lbs
A general equation of a linear function is expressed as y = mx + b where m represents the slope and b is the y-intercept. The slope is the rate of change of y with respect x which is equal to 4 for this problem. The y-intercept represents the value when x is equal to zero. It is the initial value of y. In this case, it is equal to $1,000. The linear equation would be:
y = 4x + 1000
assuming y is the income and x is the consumption.
At an income (y) equal to $20,000, we can calculate for the consumption.
20000 = 4x + 1000
19000 = 4x
x = 4750
Hello :
y = 3x²+9x
= 3(x² + 3x )
= 3 ( x² +2(3/2)x +(3/2)²) -(3/2)²)
= 3((x+3/2)² -9/4)
y = 3 (x+3/2)² -27/4
<span>the x-coordinate of the vertex is : - 3/2</span>
The answer would be tan (44).
For sin (75)
The answer will be computed this way:
sin 75º = sin (30)º + 45º= sin 30 cos 45+cos 30 sin 45= 1/2*√2/2+√3/2*√2/2=√2/4+√6/4=(√2+√6)/4Check with calculator:sin 75º ≈ 0.9659
For tan (44): checking with the calculator the answer is also: ≈ 0.9659
