Answer:
75
Step-by-step explanation:
Area=1/2base*height
1/2(10)(15)
5*15
75
It means find the angle whose tangent equals - sqrt (3)
the negative square root of 3 =
(-<span>
<span>
<span>
1.7320508076)
</span>
Looking up the arc tan </span></span><span>(-1.7320508076</span> ) on this page:
http://www.1728.org/trigcalc.htm
we find it equals -60 degrees
Answer:
So we always look for
to find a correlation. 0.81 is known as, Large Positive Linear Association. There are many variables, in this case, this "man" is part of other variables. So by removing HIM, the correlation goes from 8 to 9. It is still significant. However, it can be because of many reasons. Perhaps he has diabetes or cancer and was removed. *Hypothetically
Step-by-step explanation:
![\sqrt{1-2b} = 1 + b \\ \\ 1 - 2b = (1 + b)^2 \\ \\ 1 - 2b = 1 + 2b + b^2 \\ \\ -2b = 2b + b^2 \\ \\ 2b + 2b + b^2 = 0 \\ \\ 4b + b^2 = 0 \\ \\ b(4 + b) = 0 \\ \\ b = 0, -4 \\ \\ b = -4 \ is \ false \\ \\ b = 0](https://tex.z-dn.net/?f=%20%5Csqrt%7B1-2b%7D%20%3D%201%20%2B%20b%20%5C%5C%20%5C%5C%201%20-%202b%20%3D%20%281%20%2B%20b%29%5E2%20%5C%5C%20%5C%5C%201%20-%202b%20%3D%201%20%2B%202b%20%2B%20b%5E2%20%5C%5C%20%5C%5C%20-2b%20%3D%202b%20%2B%20b%5E2%20%5C%5C%20%5C%5C%202b%20%2B%202b%20%2B%20b%5E2%20%3D%200%20%5C%5C%20%5C%5C%204b%20%2B%20b%5E2%20%3D%200%20%5C%5C%20%5C%5C%20b%284%20%2B%20b%29%20%3D%200%20%5C%5C%20%5C%5C%20b%20%3D%200%2C%20-4%20%5C%5C%20%5C%5C%20b%20%3D%20-4%20%5C%20is%20%5C%20false%20%5C%5C%20%5C%5C%20b%20%3D%200)
The final result is,
C) 0 only.
We gathered the solutions of b = 0, -4.
b = -4 was not true so we had to remove it from the solution set, and we are left with b = 0 now. You can check this answer by substituting 0 in for b in the original equation. You should get 1 = 1, which is the correct answer.
Answer:
Roy is 6 years old and Aaron is 1 year old.
Step-by-step explanation:
A is Aaron's age,
R is roy's age,
A = R - 5
R + 4 = 2(A+4)
We can distribute first,
R + 4 = 2A + 8
Subtract 4 from each side,
R = 2A + 4
Since A = R - 5, you can substitute in R - 5 for A in the equation,
R = 2(R-5) + 4
Distribute,
R = 2R - 10 + 4
Since - 10 + 4 = -6, we can do this,
R = 2R - 6
Subtract R from both sides,
0 = R - 6
Add 6 to both sides and you have part of your answer;
R = 6
Since A = R - 5,
A = 6 - 5
A = 1, so Aaron's age is 1.