Answer:
x = 6.6; DE = 16.6
Step-by-step explanation:
Assume the diagram is like the figure below.
1. Calculate the value of x
In a right triangle, the altitude drawn from the right angle to the hypotenuse divides the triangle into two similar triangles.
Thus, ∆CDF ~ ∆FDE, and
2. Calculate the length of DE
DE = 2x + 3 = 2(6.6) + 3 = 13.2 + 3 = 16.2
Answer:
keeping it and give to museum and then no one will steal it
Explanation:
cuz the most cultural artifact of ours is that cuz that proves phillipines is a cultural,keeping safe,rich and welthy and more culture concern
Since the volume of a box is just three factors, each being the sides multiplied together, we basically need to factor these into three numbers that would multiply back out and get x^3 + 5x^2 -24x. Factor out an x and get x(x^2+5x-24), then factor normally and get x(x+8)(x-3). (8 and -3 multiply into -24, and add into 5) Your three dimensions are x, x+8, and x-3.
Answer:
0.812 = 81.2% probability that a randomly chosen chip will pass the test
Step-by-step explanation:
Over the long run, the fraction of bad chips produced by the process is 20%.
So 100 - 20 = 80% are good.
All good chips pass the test, while 6% of the bad chips(20%) also pass.
a) (4 points) What is the probability that a randomly chosen chip will pass the test
0.812 = 81.2% probability that a randomly chosen chip will pass the test
I assume you want the equation to be solved, so this is a quadratic simultaneous equation.
y = x^2-x-3 ——— (1)
y = -3x+5 ——— (2)
Sub (1) into (2)
(This is the first three steps provided)
x^2-x-3 = -3x+5
0 = x^2+2x-8
0 = (x-2)(x+4) ——— (3)
Solve for x in (3):
x-2 = 0
x = 2
x+4 = 0
x = -4
Sub x into (2)
y = -3(2) + 5
y = -1
y = -3(-4) + 5
y = 17
Hence the solution sets are:
x=2, y=-1
x=-4, y=17
