Answer:
−1 −12 −12 1 1 12
Step-by-step explanation:
We first would divide the Pentagon into two shapes, one a square and the other a triangle. To find the height of the triangle we must minus the 15cm to the 10cm, which gives us 5cm.
5cm= height of triangle
7cm= base of triangle
Then, apply the area of triangle formula
which is: A=(b×h)÷2
so the area would be 17.5cm squared.
For the square, 10= height and the 7=base
The formula for rectangles is:
A=b×h
so, the area is 70cm squared.
if you want the total area add the two area together, which equals 87.5cm squared.
I hope this helps.
Answer:
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
Step-by-step explanation:
We can start by dividing the inequality by 3 to get ...
8 -4x < 2(x -5)
And we can divide by 2 to simplify further to ...
4 -2x < x -5
Now, we can add 2x+5, which gives ...
9 < 3x
and then divide by 3 again:
3 < x
This is graphed on a number line as described above.
Radius = 5 cm
Height = 8 cm
Volume = πr²h
Volume = π(5 cm)² × 8 cm
Volume = π × 25 cm² × 8 cm
Volume = 200π cm³
Step-by-step explanation:
Step 1: Factor both the numerator and the denominator.
Step 2: Write as one fraction.
Step 3: Simplify the rational expression.
Step 4: Multiply any remaining factors in the numerator and/or denominator.
Step 1: Factor both the numerator and the denominator.
Step 2: Write as one fraction