Answer:
Step-by-step explanation:
Let Alex's age = x
Mark's age = y
Luke's age = a
x + y + z = 12
The possible combinations for their age are
1. 6, 3, 3
2. 3, 3, 6
3. 4,4, 4
4, 2, 2, 8
5. 8, 2, 2
6. 2, 8, 2
7. 9, 2, 1
Etc the age can keep going as long as you can find any three numbers and add them to give you 12
For this problem, I think there is no need for the details of 12 inches width and 4 inches length. This is because an equation is already given. It was clearly specified that A as a function of θ represents the area of the opening. Then, we are asked to find exactly that: the area of opening. Moreover, the value of θ was also given. Therefore, I am quite sure that the initial details given are for the purpose of red herring only.
So, all we have to do is substitute θ=45° to the function given.
A = 16 sin 45° ⋅ (cos 45° + 1)
The angle 45° is a special angle in trigonometry. So, it would be easy to remember trigonometric functions of this angle. Sine of 45° is equal to √2/2 while cosine of 45° is also √2/2.
A = 16(√2/2) ⋅ (√2/2 + 1)
A = 8+8√2
A = 19.31 square inches
Answer:
540540 dominoes
Step-by-step explanation:
Answer:
C)
f(–3) = 9
Step-by-step explanation:
Given f(x) = 4x^4 + 5x^3 – 15x^2 – 45
f(-3) means let x = -3
f(-3) = 4(-3)^4 +5(-3)^3 – 15(-3)^2 – 45
=4(81) +5(-27) -15(9) -45
= 324 - 135 - 135 -45
=9
Answer:
Slope = 
Equation of the line → 
Step-by-step explanation:
Let the equation of diagonal OA is,
y = mx + b
Here, m = Slope of the line OA
b = y-intercept
Slope of a line passing through two points
and
is given by,
m = 
Therefore, slope of the line passing through O(0, 0) and A(3, 4) will be,
m = 
m = 
Since, line OA is passing through the origin, y-intercept will be 0.
Therefore, equation of OA will be,
