Answer:
240 cm^2
Step-by-step explanation:
area of each triangle
=(10 x 7)/2 cm^2
=35 cm^2
area of four triangles
=35 x 4 cm^2
=140 cm^2
area of the square
=10 x 10 cm^2
=100 cm^2
area of the polygon
=(100 + 140) cm^2
=240 cm^2
The answer is k=4 you're welcome
Answer:
900 cm²
Step-by-step explanation:
Perimeter of a rectangle is given by
P=2(l+w)
Where l and w are length and width respectively.
Substituting P with 120 cm
120=2(l+w)
Divide both sides by 2
60=l+w
Making w the subject of formula
w=60-l
Area, A=lw
Substitute w with 60-l
A=l(60-l)=60l-l²
Since A=60l-l²
Get the first derivative of A with respect to l
0=60-2l
l=60/2=30
Therefore, w=60-l=60-30=30
The length abd width are both 30cm. This is a square and a square is also a type of rectangle since it has four sides.
Area=30*30=900cm²
So,
Let the amount of the expensive coffee beans be x, and the amount of the less expensive coffee bean be y.
The number of pounds of coffee beans is 50.
x + y = 50
$8 times the amount of more expensive coffee beans plus $4 times the amount of less expensive coffee beans divided by 50 equals $6.50.

Now, all we have to do is use Elimination by Substitution.
x + y = 50
Subtract y from both sides.
x = 50 - y
Substitute 50 - y for x in the second equation.

Distribute.

Collect Like Terms.

Simplify.



Multiply both sides by 25.

Add 2y to both sides.

Subtract 162.5 from both sides.
37.5 = 2y
Divide both sides by 2.
18.75 = y
Substitute in an earlier equation to solve for x.
x = 50 - y
x = 50 - 18.75
x = 31.25
Check.
31.25 + 18.75 = 50 lbs.






6.50 = 6.50 This also checks.
There were 31.75 pounds of the more expensive coffee bean and 18.75 pounds of the less expensive coffee bean.
Answer:
y=4/3x-20
Step-by-step explanation:
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