You add them together.
147 + 216 = 363
363 books in both boxes.
Answer:
Step-by-step explanation:
Look at the picture.
The formula of an area of a triangle:
<em>b</em><em> - base</em>
<em>h</em><em> - height</em>
<em />
We need a length of a height.
Use the Pythagorean theorem:
We have:
Substitute:
<em>subtract 25 from both sides</em>
Calculate the area:
Answer:
The area of the shaded = 8 - 2π units²
Step-by-step explanation:
The area of the shaded portion = area square - area not shaded portion
Not shaded portion consists of two equal segments
∵ The side of the square = the radius of the circle = 2
∵ The measure of each angle of the square = π/2 (90° = π/2 rad)
∵ Area each segment = Area sector - area triangle
∵ Area triangle = 1/2 × (2) × (2) = 2 units²
∵ Area sector = (1/2)r²Ф ⇒ r = 2 , Ф = π/2
∴ Area sector = (1/2) (2)² (π/2) = π units²
∴ Area each segment = π - 2
∴ Area not shaded = 2(π - 2) = 2π - 4 units² ⇒ two segment
∵ Area square = 2 × 2 = 4 units²
∴ Area shaded portion = 4 - (2π - 4) = 4 - 2π + 4
= 8 - 2π units²
Answer:
2.24384236453
Step-by-step explanation:
division/división
Answer:
2x4 - 50
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
2x4 - 50 = 2 • (x4 - 25)
Trying to factor as a Difference of Squares:
3.2 Factoring: x4 - 25
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 25 is the square of 5
Check : x4 is the square of x2
Factorization is : (x2 + 5) • (x2 - 5)
