The bottom square portion would be 10 x 10 = 100 square inches.
The area of the triangle would be 1/2 x base x height.
The base is 10 - 6 = 4 inches.
The height is 16 -10 = 6 inches.
Area = 1/2 x 4 x 6 = 12 square inches.
Total area = 100 + 12 = 112 square inches.
Answer:
= 12
Step-by-step explanation:
The shape ABCDEF is an irregular polygon.
The sum of the interior angles of any regular or irregular polygon = (n - 2) x 180 (where n is the number of sides of the polygon).
Therefore, the sum of the interior angles of shape ABCDEF = (6 - 2) x 180 = 720°
So to find the value of , we need to add together all the interior angles and equal it to 720, then solve for .
Before we do that, we need to determine angle F.
From inspection, we can see that angle F and 52° are a linear pair. We know that a linear pair of angles add up to 180°, so F + 52 = 180 ⇒ F = 180 - 52 = 128°
Therefore:
A + B + C + D + E + F = 720
(10 - 5) + 108 + (8 - 3) + (14 - 25) + 133 + 128 = 720
Collect like terms:
10 + 8 + 14 - 5 + 108 - 3 - 25 + 133 + 128 = 720
Combine like terms:
32 + 336 = 720
Subtract 336 from both sides:
32 = 384
Divide both sides by 32:
= 12
Answer:
4) x^10
Step-by-step explanation:
1) If two numbers have the same base (i.e. x^3 and x^4) and you are multiplying them you just add the exponents. Therefore x^3*x^4 would be x^(3+4) which equals x^7.
2) When dividing similar bases you have to subtract the exponents. If we have x^18÷x^8 that is equivalent to x^(18-8) which gives us x^10.
3) If we have (x^3)^3 we will need to multiply the exponents. Therefore (x^3)^3 is equivalent to x^(3*3) which gives us x^9.
4) (x^2*x^4)^4÷x^8
First do what's in the parentheses,
(x^2*x^4) = x^6
Next do the exponents,
(x^6)^3 = x^18
Lastly the division,
x^18÷x^8 = x^10
x^10 is our answer.
The answer is -7+19i because of the procedure used in math
