Answer:
sqroot(111) is irrational.
Step-by-step explanation:
Natural are 1, 2, 3, 4...
Whole are 0, 1, 2, 3...
Irrational are decimals that don't end or repeat. Sqroot(111) is 10.535653752...
Nonreal have an i, the imaginary number.
Rational are fractions (or can be written as a fraction) or decimals that end or repeat.
Okay, you will need to use the law of cosines for this problem.
The Law of Cosines states (in this case): a^2 = b^2 + c^2 - 2 * b * c * cos A, where "a" is the side opposite angle A (7 inches), and b and c are the other two sides.
Plug the numbers in and you get: 7^2 = 5^2 + 9^2 - 2 * 5 * 9 * cos A, or:
49 = 25 + 81 - 90 * cos A.
Subtract (25 + 81) from both sides to get:
-57 = -90 * cos A.
Divide by -90 on both sides:
cos A = 19/30
To find A, you do the inverse trigonometric function to get:
cos^-1 of (19/30) = A.
I don't have a calculator that can do this right now, but if you plug the left side of the above equation into it (make sure it is in degrees, not radians), you should get A.
Step-by-step explanation:
(a○b)(x) is the same as a(b(x)).
it is really that simple.
first you calculate the result of the inner function, and then that result is the input for the outer function.
that's it.
so,
(w○u)(2) = w(u(2))
u(2) = -2 -1 = -3
w(-3) = 2×(-3)² + 1 = 2×9 + 1 = 19
so, 19 is the first answer.
(u○w)(2) = u(w(2))
w(2) = 2×2² + 1 = 2×4 + 1 = 9
u(9) = -9 - 1 = -10
so, -10 is the second answer.
Answer:
The shortest height is 36 inches
Step-by-step explanation:
Here in this question, we want to know the shortest height with which boxes of 12 inches tall staked will be the same height with which boxes of 18 inches staked beside it
This is a question that has to do with multiples; In other words, we are simply looking for the lowest common multiple of 12 and 18;
The multiples of both are as follows;
12 - 12, 24,36,48,60•••••
18-18,36,54,72••••••
We can see that at the point 36, both have their first multiple match
So we can say that the lowest common multiple of 18 and 12 is 36
Answer:
36m
Step-by-step explanation:
The midpoint theorem : the line segment drawn from the midpoint of any two sides of the triangle is parallel to and half of the length of the third side of the triangle.
PT = 2 QS = 16
perimeter of ΔPRT = 3*2 + 7*2 + 8*2 = 36 m
