Answer:
10.75 cm^2
Step-by-step explanation:
1. Area of semicircle, A= (pi x R^2) divided by 2
2. A= (3.14 x 5^2) divided by 2 = 39.25
3. Area of rectangle, A= l x w
4 A= 10 x 5 = 50
5. subtract
6. 50 - 39.25
7. 10.75
Area of rectangle = Length x width, Area of triangle - (1/2) base x height
Surface Area is the sum of the area of all of the faces.
Your picture has 5 faces:
1) rectangle on the left
2) square in the middle
3) rectangle on the right
4 & 5) 2 congruent (identical) right triangles
Area of face #1: 5 x 4 = 20
Area of face #2: 4 x 4 = 16
Area of face #3: 3 x 4 = 12
Area of face #4: (1/2) x 3 x 4 = 6
Area of face #5: (1/2) x 3 x 4 = 6
Sum of the Area of the faces: 60
Answer: Surface Area of the figure is 60 units²
Volume = Length x width x height
= 5 x 4 x 3
= 60 units³
Answer: Volume of the figure is 60 units³
Answer:
x = -
, x = 
Step-by-step explanation:
Given
x² - x -
= 0 ( add
to both sides )
x² - x = 
Solve using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2( -
)x +
=
+ 
(x -
)² = 1 ( take the square root of both sides )
x -
= ± 1 ( add
to both sides )
x =
± 1
Thus
x =
- 1 = - 
x =
+ 1 = 
Answer:

Explanation:
[ Step One ] Group Like Terms

[ Step Two ] Combine Similar Elements: 

[ Step Three ] Expand 

[ Step Four ] Add 15 To Both Sides

[ Step Five ] Simplify

[ Step Six ] Subtract 10x From Both Sides

[ Step Seven ] Simplify

[
]
➤ 

15/66 I think you might be able to simplify