Answer:
Area of the trapezoid is 38 cm²
Step-by-step explanation:
- Step 1: Area of the trapezoid can be found by decomposing it into 2 triangles and a rectangle.
- Step 2: Find area of first triangle. Given base = 5 cm and height = 4 cm
Substitute in formula for area of triangle = 1/2 base * height
Area of triangle, A1 = 1/2 * 5 * 4 = 10 cm²
- Step 3: Find area of rectangle. Given breadth = 4 cm (Same as height of triangles) Length = 6 cm. Substitute in formula for area of rectangle = length * breadth
Area of rectangle, A2 = 4 * 6 = 24 cm²
- Step 4: Find area of second triangle. Given height = 4 cm (same as the other triangle) and base = 2 cm (8 cm - 6 cm)
Substitute in formula for area of triangle = 1/2 base * height
Area of triangle, A3 = 1/2 * 2 * 4 = 4 cm²
- Step 5: Calculate total area = A1 + A2 + A3 = 10 + 24 + 4 = 38 cm²
Answer:
M equals -2.
Step-by-step explanation:
The answer is (B).
If we substitute r = 6 inches into the volume of a sphere formula we get this:
π6³
Since 6³ = 216, we multiply this by 1.3333 to get 288. If we multiply this by pi we get 288π, or (B).
<span>3.12
First, write an equation to express what you know.
g = number of girls
b = number of boys
b * 2.52 + g * x = 2.88(b+g)
Solve for x, first substitute known values for g and b
12 * 2.52 + 18 * x = 2.88(12+18)
Add and multiply what you already know
30.24 + 18x = 86.4
Subtract 30.24 from both sides
18x = 56.16
Divide both sides by 18
x = 3.12
Therefore the GPA of the girls is 3.12</span>
Answer:
The height of the statue is 152 feet
Step-by-step explanation:
<u><em>The complete question is :</em></u>
The total height of the Statue of Liberty and its pedestal is 305 feet. This is 153 more than the height of the statue. Write and solve an equation to find the height h (in feet) of the statue.
Let
h ----> the height of the statue in feet
p ---> the height of the pedestal in feet
we know that
----> equation A
---> equation B
so
substitute equation A in equation B and solve for h
subtract 153 both sides
