Answer:
a)
b)
c)
d)
Step-by-step explanation:
The question does not give contain options, but let me provide a list of solutions to the question.
a) x equals the square root of quantity w times the sum of w plus z end quantity
The square root of quantity w is given as , the sum of w plus z is given as . Therefore x equals the square root of quantity w times the sum of w plus z end quantity is given as:
b) x equals the square root of quantity z times the sum of w plus z end quantity
The square root of quantity z is given as , the sum of w plus z is given as . Therefore x equals the square root of quantity z times the sum of w plus z end quantity is given as:
c) x equals the square root of quantity w times y end quantity
The square root of quantity w is given as , Therefore x equals the square root of quantity w times y end quantity is given as:
d) x equals the square root of quantity w times z end quantity
The square root of quantity w is given as , Therefore x equals the square root of quantity w times z end quantity is given as:
Answer:
x = 34.915°
Step-by-step explanation:
law of cosines
angle = arccos (b^2+c^2-a^2/2bc)
angle
Answer:
2.67 inches.
Step-by-step explanation:
Assuming that we represent the size of the squares with the letter y, such that after the squares are being cut from each corner, the rectangular length of the box that is formed can now be ( 23 - 2y), the width to be (13 - 2y) and the height be (x).
The formula for a rectangular box = L × B × W
= (23 -2y)(13-2y) (y)
= (299 - 46y - 26y + 4y²)y
= 299y - 72y² + 4y³
Now for the maximum volume:
dV/dy = 0
This implies that:
299y - 72y² + 4y³ = 299 - 144y + 12y² = 0
By using the quadratic formula; we have :
where;
a = 12; b = -144 and c = 299
Since the width is 13 inches., it can't be possible for the size of the square to be cut to be 9.33
Thus, the size of the square to be cut out from each corner to obtain the maximum volume is 2.67 inches.
There are 50 meters in .05 kilometers.
Hope this helps!
Answer:
8
Step-by-step explanation:
Since this isosceles triangle has been broken down into two right triangles, and we already know that two sides are the exact same (note that there are 2 x's) that means BD and BC are going to be the exact same length. Since BD is 4, that means BC will be 4, and that means
Hope this helped!