Answer:
Step-by-step explanation:
I'll draw a quick sketch. It's hard to "see" this kinda of problem w/o a drawing , so start there. just draw as much as you can from what the problem tells you.
diameter = 14 cm
radius = 7 cm
pi = 3.142
PRQ = 35 °
to find Y use law of sines
sin(70) / Y = sin(55) / 7
sin(70) / sin(55) / 7 = Y ( I'll use my calculator for all the non standard angles )
sin(70) * 7 / sin(55) = Y ( and invert and multiply the fraction in the denom )
8.03007 = Y
x = 70 °
if you have questions, and you should, just put them in the comments , I'll see them later :)
Answer:
5 units
Step-by-step explanation:
The hypotenuse is always the longest segment on a triangle. If the lengths of the sides of this triangle are 3 units, 4 units, and 5 units, the hypotenuse will be 5 units. You can use the pythagorean theorem to check.
a^2+b^2=c^2
If you substitute the variable with the lengths of the legs in ascending order, you will get 3^2+4^2=5^2. Simplifying the equation, you will get 9+16=25, or 25=25. Thus, proving the equation.
Hope this helped! :)
Answer: 0.79
Step-by-step explanation:
I will suppose that this is not a continuos probability, as the individual probabilites add up to 100%.
If you want to obtain the probability that x ≤ 0, then you need to add the probability for the cases x= 0, x = -1, x = -2 .... etc
This is:
x = 0, p = .16
x = -2, p = .33
x = -3, p = .13
x = -5, p = .17
Then, the probability where x takes a negative value or zero {-5, -3, -2, 0} is:
P = 0.16 + 0.33 + 0.13 + 0.17 = 0.79
The gievn equation is ,
where t is the time in seconds and h is the no.of hamburgers assembled.
put h = 2 in equation (1).
blank A assembles 2 hamburges in 22.6 seconds.
put h = 3 in equation (1)
blank B assembles 3 hamburgers in 33.9 seconds.
put h = 5 in equation (1)
blank C assembles 5 hamburgers in 56.5 seconds.
put h = 8 in equation (1)
blank D assembles 8 hamburgers in 90.4 seconds.
Answer:
Step-by-step explanation:
Let 
Subbing in:
a = 9, b = -2, c = -7
The product of a and c is the aboslute value of -63, so a*c = 63. We need 2 factors of 63 that will add to give us -2. The factors of 63 are {1, 63}, (3, 21}, {7, 9}. It looks like the combination of -9 and +7 will work because -9 + 7 = -2. Plug in accordingly:
Group together in groups of 2:
Now factor out what's common within each set of parenthesis:
We know this combination "works" because the terms inside the parenthesis are identical. We can now factor those out and what's left goes together in another set of parenthesis:
Remember that 
so we sub back in and continue to factor. This was originally a fourth degree polynomial; that means we have 4 solutions.
The first two solutions are found withing the first set of parenthesis and the second two are found in other set of parenthesis. Factoring 
gives us that x = 1 and -1. The other set is a bit more tricky. If
then
and
You cannot take the square root of a negative number without allowing for the imaginary component, i, so we do that:
±
which will simplify down to
±
Those are the 4 solutions to the quartic equation.
