<u>Rectangle A</u>
P = 2l + 2w
P = 2(3x + 2) + 2(2x - 1)
P = 2(3x) + 2(2) + 2(2x) - 2(1)
P = 6x + 4 + 4x - 2
P = 6x + 4x + 4 - 2
P = 10x + 2
<u>
Rectangle B</u>
P = 2l + 2w
P = 2(x + 5) + 2(5x - 1)
P = 2(x) + 2(5) + 2(5x) - 2(1)
P = 2x + 10 + 10x - 2
P = 2x + 10x + 10 - 2
P = 12x + 8
<u>Rectangle B - Rectangle A</u>
(12x + 8) - (10x + 2)
12x - 10x + 8 - 2
2x + 6
The correct answer is B.
Answer:
flour:
20
35
40
liquid:
12
21
24
Step-by-step explanation:
Let a, ß be the roots of x² + 2ax + b =0.......[1]
⇒a + ß = -2a and aß = b
By hypothesis
la-ß | ≤ 2m
⇒ (a-ß)² ≤ 4m²
⇒ (a+ß)²-4aß < 4m²
⇒ 4a²-4b ≤ 4m²
⇒a² - b ≤ m²......(2)
And discriminant of (1) is >0
⇒4a²-4b> 0
⇒ b <a²...... (3)
From (2) and (3)
a² > b≥ (a² - m²)
b = [a² - m², a²)
There is a 68% probability that the manager chooses someone who speaks Spanish.
There are 8 people that don't know Spanish. That leaves 17 people that do speak Spanish.
25 - 8 = 17
17 out of 25 is 68%
Answer:
A Composite figure
Step-by-step explanation:
An irregular shape that can be split into familiar shapes such as rectangle, triangles and circles is called a Composite figure.
A Composite figure may easily split into the familiar shapes such as triangles, rectangles and circles in order to find the area of these shapes.
Thus, area of such figures can be easily found out by a composite figure.
