Answer:
160 dollars per month
Step-by-step explanation:
Well you know the total amount paid is 480 dollars and payments are made once a month for three months.
Divide 480 by three to find the amount paid per month
480/3=160
160 dollars per month
Answer:
The perimeter of the base of the birdhouse is 36 units
Step-by-step explanation:
<u><em>The complete question is</em></u>
Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the measure of the exterior angle and the length of a diagonal that passes through the center is 12. What is the perimeter of the base of the birdhouse?
step 1
Find the measure of the interior angle
Let
x ---> the measure of the interior angle
y ---> the measure of the exterior angle
Remember that
the sum of the interior and exterior angle in any polygon is equal to 180 degrees
so
----> equation A
we have that
the measure of the interior angle is twice the measure of the exterior angle
so
----> equation B
substitute equation B in equation A
so
That means-----> The figure is a regular hexagon
step 2
Remember that
The length of the diagonal that passes through the center of the hexagon is equal to two times the length of the regular hexagon
Let
b ----> the length side of the hexagon
so
The perimeter of the hexagon is given by the formula
substitute
Answer:
5 hours must pass
Step-by-step explanation:
Graph the equations y = 2x + 100 and y = -6x + 140
Then find the x intercept of their intersection, in this case, that is 5
The quotient is x^2
The remainder is 2
Step-by-step explanation:
We need to divide:
The division is shown in figure attached.
The quotient is x^2
The remainder is 2
Keywords: Division of polynomials
Learn more about Division of polynomials at:
#learnwithBrainly
Answer:
Step-by-step explanation:
The general equation of a circle is , x² + y² + 2gx + 2fy + c = 0
Substituting the three points we get the following equations,
2g +14f +c=-50
14g - 2f + c =-50
16g +12f + c = -100
Solving these equations we get,
g =-4, f = -3, c = 0
Hence general equation of circle is,
x² + y² - 8x - 6y = 0