Hey there!
To find the value of an angle in a triangle, you need to add the 3 angles. You have angles with 55 degrees, 65 degrees, and x degrees. Put this into an equation. The equation would be 55+65+x=180. Simplify to get 120+x=180. You need to isolate x, so subtract 120 from both sides to get x=60. So the value of x is 60 degrees.
I hope this helps!
We use P = i•e^rt for exponential population growth, where P = end population, i = initial population, r = rate, and t = time
P = 2•i = 2•15 = 30, so 30 = 15 [e^(r•1)],
or 30/15 = 2 = e^(r)
ln 2 = ln (e^r)
.693 = r•(ln e), ln e = 1, so r = .693
Now that we have our doubling rate of .693, we can use that r and our t as the 12th hour is t=11, because there are 11 more hours at the end of that first hour
So our initial population is again 15, and P = i•e^rt
P = 15•e^(.693×11) = 15•e^(7.624)
P = 15•2046.94 = 30,704
Answer:What’s your question?
Step-by-step explanation:
D=10 a=5
5×5×π=25π
a=25π
2×5×π=10π
c=10π
c. C = 10π A = 25π
Answer:
x = 9 and y = -3
Step-by-step explanation:
Let's say the first integer is x and the second one is y. Then, if we put the words into mathematical expressions, we get:
x = 15 + 2y
xy = -27
We can use substitution to solve this system of equations. We put 15 + 2y in for x in xy = -27:
(15 + 2y)*y = -27 ⇒ 2y² + 15y = -27 ⇒ 2y² + 15y + 27 = 0
Now, we have a quadratic to solve, so after some trial and error, we get:
(2y + 9)*(y + 3) = 0
Setting each of these to 0, we get two possible answers for y:
y = -9/2 or y = -3.
However, it says that y is an integer, so it can't be -9/2 and must be -3. We use this to find x:
x = 15 + 2*(-3) = 15 - 6 = 9
So, the two numbers are x = 9 and y = -3.
