Given problem;
Number of quarters in $40;
To solve this problem;
- <u>Convert the dollar value to cents</u>;
100cents = $1
In $40, we would have; 40 x 100 = 4000cents
So, divide 4000cents by 25 to obtain the number of quarters in that amount of dollars;
Number of quarters =
= 160
So there are 160 quarters in $40
Answer:
Step-by-step explanation:
its c
<u>The approximate area of the </u><u>hexagon</u><u> = </u><u>672 cm²</u>
What is hexagon ?
- In geometry, hexagon is a polygon with 6 sides.
- If the lengths of all the sides and the measurement of all the angles are equal, such hexagon is called a regular hexagon.
- In other words, sides of a regular hexagon are congruent.
apothem of the hexagon = 14 cm
perimeter of the hexagon = 96 cm
Area of the hexagon = [(3√3) / 2] a² ; where a is the measure of the side
hexagon has 6 sides.
Perimeter = 6a
96 cm = 6a
96 cm / 6 = a
16 = a
There are 6 triangles in the hexagon .
Area of a triangle = (height * base) / 2
A = (14 cm * 16 cm) / 2
A = 224 / 2
A = 112 cm²
The approximate area of the hexagon = 112 cm² * 6 triangles = 672 cm²
Learn more about hexagon .
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<span>1)
11x+5y=20
2x+5y=-25
multiply the second equation by - 1 and add the result with the first equation:
11x + 5y = 20
- 2x - 5y = 25
-------------------
9x = 45
=> x = 45 / 9
=> x = 5
Replace in </span><span>2x+5y=-25
=> 2(5) + 5y = - 25
5y = - 25 - 10
5y = - 35
y = - 35 / 5
y = - 7
2)
3x+7y=-21
3x-7y=63</span>
Add the two equations:
3x + 3x + 0 = - 21 + 63
6x = 42
=> x = 42 / 6
=> x = 7
Replace in <span>3x-7y=63
3(7) - 7y = 63
=> 7y = 21 - 63
=-> 7y = - 42
=> y = - 42 / 6
=> y = - 7</span>