Answer:
F) A=(12*12)+((6*12)/2)
Step-by-step explanation:
We can find the answer by breaking up the area into to parts: the square and the triangle
To find the area of the square we use the formula length * width or side^2
This gives us 12*12 which is shown in the first part of each equation
To find the area of the triangle, we must use the formula A= (base * hight)/2
We know the hight is 12 because the hight is the same as the hight or side length of the square, but we still need to find the length of the base of the triangle
Since we know the total length of the bottom of the combined square and triangle is 18 and we know the side length of the bottom of the square is 12 (given to us at the top side of the square and we know the side of a square are of equal length)
Using this information to find the length of only the triangle base we can say
Length of triangle base = Length of total/combined base - length of square base
Plugging in these numbers we get:
Length of triangle base = 18-12 which equals 6
So length of triangle base is 6
Going back to our equation for area of a triangle A=(base*hight)/2
We can plug in our numbers using 6 for the base and 12 for the height
A=(6*12)/2
Now we combine this with our equation for the area of the square (A= 12 * 12) to get our final answer
A= (12*12) + ((6*12)/2)
Hope this helps :)
Answer:
x = 8.69
Step-by-step explanation:
we know that the perimeter of the dodecagon is 54, so each edge will be 54/12
54/12 = 4.5 cm
if we draw the lines to remove 6 vertices and form a hexagon, 6 triangles with 2 sides of 4.5 cm are formed.
we know that the angle of each vertex is 150 ° because it is a dodecagon
if we apply the law of cosines we can take the other side of the triangle, since we only need 2 side and the opposite angle to the side we want to know
a would be our x
b = 4.5
c = 4.5
A = 150°
a^2 = b^2 + c^2 - 2bc * cos (A)
x^2 = 4.5^2 + 4.5^2 - 2 * 4.5 * 4.5 * cos (150)
x^2 = 20.25 + 20.25 - 40.50 * -0.866
x^2 = 40.50 + 35.07
x = √ 75.57
x = 8.69
If you take 71.34 and divide it by 12.3, you will end up with 5.8.
71.34 divided by 12.3 = 5.8
So Angelo would have to purchase 5.8 meters of fencing for the section of fence that needs to be replaced.
Hope this helps!!
So first you need to multiply 3 and 1.97 which equals 5.91 and that is for Matthew. Now for Jose, you multiply 3 by 3.99 and that equals 11.97. And so to find out how much money they each spend you subtract 11.97 and 5.91 which is 6.06. And to find out how much each gallon of milk is you divide 6.06 by two which is 3.03. So then you multiply 3.03 by 4 because Matthew purchased 4 gallons of milk and that is equal to 12.12 then you multiply 3.03 by 2 for Jose's milk and that equals 6.06. Matthew's total is 5.91 plus 12.12 and that is 18.03. Jose's total is 11.97 plus 6.06 and that equals 18.03 also. Both Matthew and Jose spent $18.03 on groceries and each gallon of milk costs $3.03.
Okay. So first 8.25 * 20 = 165. Then you multiply 165 by 3 (165*3). 165 * 3 = 495.
Dan will earn $495 in three weeks.
