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
In this triangle
ab and cb are the same length
a^2 + b^2 = c^2
Have you used this befor
There are 6 children total, 4 of which are girls. The ratio is 2:1 girls:boys, so there will need to be twice as many pinks as there are blues. If we get 12 pinks, then there will be 6 blues. That's the biggest since that's all the pinks the florist has.
Answer:
a. height = 12
b. area = 228
Step-by-step explanation:
a. To find the height, we can use the triangle formed by the side that measures 15, the side that measures 9. and the height. The hypotenuse of the triangle(the longest side opposite of the right angle), is 15. We can then use the Pythagorean Theorem, which states that 
, where c is the hypotenuse, and a and b are the two other sides. In this case, we need to find a leg of the triangle, not the hypotenuse. What do we do? We can first call the height a, and rearrange the Theorem into 
. 
and 
=12. Therefore, the height of the parallelogram is 
b. To find the area of the parallelogram, we can use the area formula, which is Base*Height. The base is the flat side. We can find the base by adding 9+10=19, and 
