Answer:
A = 43°
b = 25.8 (3 sig. fig.)
c = 14.5 (3 sig. fig.)
Step-by-step explanation:
Using angle sum of triangle, we get A = 180 - 104 - 33 = 43°
Using sin law,
b/sin104 = 18.1/sin43
b = 25.8 (3 sig. fig.)
c/sin33 = 18.1/sin43
c = 14.5 (3 sig. fig.)
Given:
Volume of a cube = 27,000 in^3
(Note: A cube has equal sides)
The volume of a cube = a^3
So,
![\begin{gathered} 27000=a^3 \\ \sqrt[3]{27000}\text{ = a} \\ a\text{ = 30 in.} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%2027000%3Da%5E3%20%5C%5C%20%5Csqrt%5B3%5D%7B27000%7D%5Ctext%7B%20%3D%20a%7D%20%5C%5C%20a%5Ctext%7B%20%3D%2030%20in.%7D%20%5Cend%7Bgathered%7D)
Therefore, the lenght of one side is 30 inches.
Answer:

Step-by-step explanation:
<u>The Inverse of a Function</u>
The procedure to find the inverse of the function is:
* Write the function as a two-variable equation:

* Solve the equation for x.
Multiply by 3x-1

Divide by y:

Sum 1:

Operate the right side:

Divide by 3:

* Swap the variables:

Write back into function form:

Answer:
40
Step-by-step explanation:
(35/100) of X = 14
(7/20) × X = 14
X = 14 × 20/7
X = 40
<span>7 inches represents 105 ft on the map</span>