Given:
square with sides measuring 7 cm.
3 triangles attached to three sides of the square. A line bisecting one triangle is measured at 4 cm.
Area of a square = s² = (7cm)² = 49 cm²
Area of a triangle = hb/2 = (4cm*7cm)/2 = 14 cm²
Area of the 3 triangles = 14 cm² x 3 = 42 cm²
Total area of the logo = 49 cm² + 42 cm² = 91 cm²
Here are the following justifications:
Given: -2 (x-1) +12=4x-6
Distribute property = -2x+2+12=4x-6
Combine like terms= -2x+14=4x-6
Transpose = -2x = 4x – 20
Addition or Subtraction Property of Equality = -6x = -20
Division property of equality = x = 20/6
Simplify = x = 10/3
Answer:
Step-by-step explanation:
1 ) Given that

For a non homogeneous part
, we assume the particular solution is

2 ) Given that

For a non homogeneous part
, we assume the particular solution is

3 ) Given that
y′′ + 4y′ + 20y = −3sin(2x)
For a non homogeneous part −3sin(2x) , we assume the particular solution is

4 ) Given that
y′′ − 2y′ − 15y = 3xcos(2x)
For a non homogeneous part 3xcos(2x) , we assume the particular solution is

Answer:
e) The number of minutes for a car to get from the intersection to the administration building
Step-by-step explanation:
Continuous Data:
Data that can take any value (an infinite number of values) within a certain range.
For example, the statistics of a group of people form continuous data, but the number of people in that group form discrete data.
Inglés
In this case, counting items such as cars, bicycles, people, are considered discrete data. They exclusively take integer values.
But time data can take continuous values.
Answer:
<h3>Pudge has 12 morethan apples that is 24 apples and both Ace and Christi has not more than 12 apples together they has atmost 12 apples.The apples does each having is</h3><h3>P = Pudge's Apples
=24</h3><h3>A = Ace's Apples
=8</h3><h3>and C = Christi's Apples=4.</h3>
Step-by-step explanation:
Let P = Pudge's Apples
Let A = Ace's Apples
Let C = Christi's Apples
<h3>To find how many apples does each have if Pudge has 12 more than both Ace and Christi together:</h3>
Given that P = 3A , A = 2C and P = A + C + 12
Substitute the value for P in P = A + C + 12 we get
3A = A + C + 12
3A-A=C+12
2A=C+12
From A = 2C we have that 
Substitute the value C:






<h3>∴ A=8</h3>
Substituting the value of A in P=3A we get
P = 3(8)
<h3>∴ P = 24
</h3>
Substituting the values of P and A in P = A + C + 12



4=C
Rewritting we get
<h3>∴ C=4 </h3><h3>Hence Pudge has 12 morethan apples that is 24 apples </h3><h3>and both Ace and Christi has not more than 12 apples together they has atmost 12 apples</h3>