Answer:
Angle A < Angle C < Angle B
CD<DE<CE
Step-by-step explanation:
Angles and the sides across from them have a specific relationship. Th smaller the angle or openness then the smaller the side. The larger the angle the larger the side. Since Angle A opposite side is 10 it is smaller than Angle B whose opposite side is 20. Since Angle C's opposite side is between the two, you can conclude that Angle A < Angle C < Angle B.
We can do the same for the other triangle knowing Angle D is 61 and Angle DCE is 60 (vertical angle theorem). Since a triangle's angles add to 180 then 180-61-60=59. Angle E is 59 degrees and since it is the smallest will have the smallest side CD. Angle DCE is the next largest and its oppposite side of DE will next followed by CE. You can conclude that CD<DE<CE
Answer:
The last three terms are true.
Step-by-step explanation:
The last three statements are true. Yes, the numerator has 3 terms: x^2 + 6x - 2. Yes, the denominator has 2 terms: 6x - 5. Yes, that denominator is a single factor.
No, the numerator does not have three factors. It does, however, have three terms. No, 6x in the numerator does not cancel out the 6x in the denominator.
Answer:
0.837
Step-by-step explanation:
3850*4.65%=179.025
150/179.025=0.837
0.837
Let's begin with <span>f(x) = a(x-h)^2+ k. Note that we must use "^" to indicate exponentiation. Write (x-h)^2, not (x-h)2.
If (-3,4) is the vertex, then the above equation becomes f(x) = a(x-[-3])^2 + 4, or
f(x) = a(x+3)^2 + 4. We are told that the graph passes through (-1,0), so must now substitute those coordinates into the above equation:
f(-1) = a([-1]+3)^2 + 4 = 0 (0 is the value of f when x is -1)
Then we have a(2)^2 + 4 =0, or 4a + 4 = 0. Thus, a = -1.
The equation of this parabola is now f(x) = -(x+3)^2 + 4.
Write it in "standard form:" f(x) = -(x^2 + 6x + 9) + 4, or
f(x) = -x^2 - 6x - 9 + 4, or
answer => f(x) = -x^2 - 6x - 5 = ax^2 + bx + c
Thus, a=-1, b=-6 and c= -5.</span>
The simplest form of an interest equation is A = P(1+rt)
where A = the total amount of money at the end, P = the principal (or amount of money you started with), r = the rate in percent, and t = the time in years.
In this case, P = 15000, r = 0.03 (because 3% in decimal form is 0.03), and t = 1:
![A=P(1+rt)\\A=15000(1+0.03*1)\\A=15000(1+0.03)\\A=15000(1.03)\\A=15450](https://tex.z-dn.net/?f=A%3DP%281%2Brt%29%5C%5CA%3D15000%281%2B0.03%2A1%29%5C%5CA%3D15000%281%2B0.03%29%5C%5CA%3D15000%281.03%29%5C%5CA%3D15450)
So, after 1 year he will get $15450 back, making him $450 more.