All angles in a triangle = 180. SO we can make an equation to find y:
79+37+y=180
116+y=180 (combine like terms)
y=64 (subtract the 116)
Answer:
The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.
Let x = amount of mortgage (aka the amount by the bank)
25% of the monthly income of $3000 is 0.25*3000 = 750 dollars
So using this rule, the family can pay up to $750 per month on mortgage
1% of the amount loaned (x) is equal to this figure, so
0.01*x = 750
0.01*x/0.01 = 750/0.01
x = 75000
Therefore, the most expensive mortgage this family can afford is $75,000. Anything higher and they go over budget.
Answer:
<em>The x-coordinate is changing at 10 cm/s</em>
Step-by-step explanation:
<u>Rate of Change</u>
Suppose two variables x and y are related by a given function y=f(x). If they both change with respect to a third variable (time, for instance), the rate of change of them is computed as the derivative using the chain rule:

We have

Or, equivalently

We need to know the rate of change of x respect to t. We'll use implicit differentiation:

Solving for dx/dt

Plugging in the values x=1, y=3, dy/dt=5

The x-coordinate is changing at 10 cm/s
Answer:

Step-by-step explanation:
First let's find the radius of the quarter circle.

Now let's find the arc length of this quarter circle.

Now let's find the perimeter
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