So the way I'd do this is by figuring out the two missing rectangles, and then taking them away from the total area. The total area would be 10 × 12 = 120 inches, and the two rectangles would be 5 × 7 = 35, 35 × 2 = 70. Now, you just do 120 - 70 = 50 inches squared, which is your answer. I hope this helps!
Answer:
38.7°
Step-by-step explanation:
You are basically looking at a triangle with a 90° angle (check picture).
Since we are looking for the ramp's angle and are given the length of the opposite and the hypothenuse, we have to solve the following equation:
which is equivalent to
Answer:
103
Step-by-step explanation:
We substitute x with 5:
Solve the exponent first:
<em>Note: We are using order of operations (consecutively)</em>
- <em>Parentheses </em>
- <em>Exponents</em>
- <em>Multiplication</em>
- <em>Division</em>
- <em>Addition </em>
- <em>Subtraction</em>
Multiply:
25 * 4 = 100
Add:
100 + 3 = 103
Our answer is 103
<em />
Step-by-step explanation:
1.
36
2×18
2×9
3×3 therefore prime factorization is 2²×3²
2.
42
2×21
3×7 therefore prime factorization is 2×3×7
3.
48
3×16
2×8
2×4
2×2 therefore prime factorization is 2⁴×3
4.
27
3×9
3×9 therefore prime factorization is 3³
Answer:
7y = x + 28
Step-by-step explanation:
Given x = 7t and y = t + 4
Here t is the parameter Now to remove it express one of it in terms of the variables (like x or y)
Given x = 7t
from this we can write
Now substitute this value in the second equation
y = t + 4
Therefore the parameter is eliminated.