Answer:
The area of the shaded figure is:
Step-by-step explanation:
To obtain the area of the shaded figure, first, you must calculate this as a rectangle, with the measurements: wide (4 units), and long (6 units):
- Area of a rectangle = long * wide
- Area of a rectangle = 6 * 4
- Area of a rectangle = 24 units^2
How the figure isn't a rectangle, you must subtract the triangle on the top, so, now we calculate the area of that triangle with measurements: wide (4 units), and height (2 units):
- Area of a triangle =
- Area of a triangle =
- Area of a triangle =
- Area of a triangle = 4 units^2
In the end, you subtract the area of the triangle to the area of the rectangle, to obtain the area of the shaded figure:
- Area of the shaded figure = Area of the rectangle - Area of the triangle
- Area of the shaded figure = 24 units^2 - 4 units^2
- <u>Area of the shaded figure = 20 units^2</u>
I use the name "units" because the exercise doesn't say if they are feet, inches, or another, but you can replace this in case you need it.
Answer:
Factored form of the expression is ( x+ 8)(x + 6).
Step-by-step explanation:
The given expression is x² + 14x + 48.
We have to convert the expression in factored form
x² + 14x + 48 = x² + 8x +6x + 48
= x(x + 8) + 6(x + 8) = (x + 8)(x + 6)
Therefore the factored form of the expression is (x + 8)(x + 6).
Write the problem as an equation:
5n <65
Solve for n by dividing both sides by 5:
n <13
Because the inequality does not contain an equal sign, n (13) is not included in the answer so there would be an open circle on the number 13
The correct answer would be A.
Answer:
2
Step-by-step explanation:
Method- 56-25=31-25=6
I subtracted 25 until I cant no more so I only did it 2 times so 2 quarters are in the piggy bank.
Quarters-2
Then since the remainder was 6 that means there was only 1 penny and 1 nickel.
Pennies- 1
Nickels-1
Answer:
-1078
Step-by-step explanation:
To find the nth term in an arithmetic sequence we use the following formula
aₙ=a₁+(n-1)*d
Where a₁ is the first time, and d is the common difference (in this case -20)
So we have
2+(55-1)*-20
2+(54)*-20
2-1080
-1078
