Answer:
The area of her front yard is <u>31.5 ft²</u>.
Step-by-step explanation:
Given:
Maria's front yard is shaped like a trapezoid with the dimension 5ft, 4ft and 7ft.
Now, to find the area of her front yard.
Dimension of front yard:
Base (a) = 5 ft.
Second base (b) = 4 ft.
Height (h) = 7 ft.
So, to getting the area of trapezoid we put formula:
Therefore, the area of her front yard is 31.5 ft².
I'm guessing that in the book or the homework sheet, they gave you
the values of 'a', 'b', and 'c', and you're supposed to find the value of 'd'.
If you have two points on the line, then the slope of the line is
(the change in 'y') divided by (the change in 'x') .
If the two points are (a, b) and (c, d), then the slope of the line is
(d - b) divided by (c - a) ,
and you have to find the value of 'd' that makes that whole expression
equal to 1/2.
(d - b) / (c - a) = 1/2
Multiply each side by (c - a): (d - b) = 1/2(c - a)
Add 'b' to each side: d = 1/2(c - a) + b
If you know the values of 'a', 'b', and 'c', you can find the value of 'd'.
We set up a proportion to do this. There are 100 cm in 1 meter to we use this:
700 cm ( 1 m / 100 cm )
The cm's will cancel each other out since there is one in both the numerator and the denominator.
This leaves you with:
700 / 100 = 7.
The only units left when the centimeters cancel out is meters.
So there are 7 meters in 700 centimeters.
9514 1404 393
Answer:
$67,516
Step-by-step explanation:
"Depreciates" means the value is getting smaller. The function that describes the situation is a <em>decay</em> function:
y= a(1-r)^x
Here, a=150000, r = 0.07, and x=11. The value is predicted to be ...
y = 150000(1 -0.07)^11 = 150000(0.93^11) = 67,515.53
The house is worth about $67,516 in 2013.
If C is between A and B, then, we can write the equation
Substitute the value of AB and the expressions for AC and CB in terms of x.
We can now solve for x.
Dividing by 5.
