Answer:
<em>1 and 9</em>
Step-by-step explanation:
<u>Common Solutions to Functions</u>
Let f(x) and g(x) be any type of function. When we need to find values of x such that f(x)=g(x), we usually set up the equation for each of them and solve it for x by any available algebraic or approximate method.
In this situation, we are not given the explicit expression of any of the functions, but the table of values for each one of them. We have to take a look of the values of x for which f and g are the same.
A closer look at the table reveals that f(x)=g(x) for two values of x:
for x=1, f(1) = 14 , g(1) = 14
for x = 9, f(9) = 6, g(9) = 6
The answers are 1 and 9
Answer:
√(A/4π) = r
Step-by-step explanation:
A = 4πr²
r² = A/4π
r = √(A/4π)
2 miles = 10560 ft.
10560 ft + 3241 ft = 13801 ft.
Answer:
<h3> ∠R = 69</h3>
Step-by-step explanation:
<h2>Angle sum property</h2>
Sum of all angles of triangle = 180
5x - 11 + 3x - 3 + 3x + 18 = 180
5x + 3x + 3x -11 - 3 + 18 = 180
Combine like terms
11x + 4 = 180
11x = 180 - 4
11x = 176
x = 176/11
x = 16
∠R = 5x - 11
= 5*16 - 11
= 80 - 11
= 69
Answer:
<h3><u>Cylinder</u></h3>

Given:

<h3><u>Cube</u></h3>

Given:

<h3><u>Volume available to be filled with water</u></h3>
Volume of cylinder - volume of cube
= 684π - 512
= 1532.75204 cm³
1 litre = 1000 cm³
⇒ 1.5 litres = 1000 × 1.5 = 1500 cm³
As 1500 < 1532.75204, the volume of water poured into the container is smaller than the empty space available in the cylinder. Therefore, the water will <u>not</u> come over the top of the container.