Answer:
Step-by-step explanation:
1) we have to find the area of the cut out portion
Since both circles in one side makes up the side 28cm
The diameter of each circle is 14cm
radius = diameter / 2
r = 7cm
Area of a circle = πr²
A = 22/7 × 7²
= 22/7 × 7 × 7
= 22 × 7 = 154cm²
So the four circles will make
= 154 + 154 + 154 + 154
= 616 cm²
The Area of the square will be
= L × L
= 28 × 28
= 784 cm²
Therefore the area of the remaining portion will be
Area of the square - total area of the circles
= 784 cm² - 616 cm²
= 168 cm²
The area of the remaining part is 168 cm²
Answer:
Step-by-step explanation:
x+y = 175
y = 175 - x
f(x) = (x+3)(y+4)
= x(175-x) + 3(175-x) + 4x + 12
= 175x - x² + 525 - 3x + 4x + 12
= -x² +176x + 537
f'(x) = -2x + 176
maximum when x = 88
y = 175-x = 87
Answer:
x = 5 , y = 15
Step-by-step explanation:
You can solve this using substitution.
Let the quantity of cheese wafers be denoted by x and the quantity of chocolate wafers denoted by y
2x + 1y = 25
x + y = 20
These two equations are the answer to part A, (remember to include the above prompt which says what x and y denote).
For part B I used substitution because it was more applicable to the question then addition or elimination.
ACTUAL WORK
Set 2x + 1y = 25 equal to x
x = 25 - y / 2
Replace x with y in the second equation
(25 - y / 2) + y = 20
And solve for y
y = 15
Since we know what y is we can replace y in the second equation and find what x is
x + 15 = 20
Solve for x
x = 5
Answer:
<h2>3x - y + 7 = 0</h2>
Step-by-step explanation:
The slope-intercept form of an equation of a line:
m - slope
b - y-intercept
Put the given y-intercept b = 7 and the coordinates of the point (-2, 1) to the equation:
<em>subtract 7 from both sides</em>
<em>divide both sides by (-2)</em>
We have the equation:
Convert it to the general form 
:
<em>subtract 3x and 7 from both sides</em>
<em>change the signs</em>
Answer:
Figure A
Step-by-step explanation:
A regular polygon has all sides the same length and all angles the same measure. Only Figure A matches that description.
