We have been given an image of a trapezoid. We are asked to find the area of the given trapezoid.
We will use area of trapezoid formula to solve our given problem.
, where,
A = Area of trapezoid,
a and b = Parallel sides or bases of trapezoid.
h = Height of trapezoid.
We can see that one base is 45 feet. The other base would be 45 plus 15 feet that is .
Now we will use Pythagoras theorem to find the height of the trapezoid as:
Therefore, the area of the given trapezoid is 420 square feet.
The equation that represents that line is
y=2/3x+5.
First, you have to find the slope (the change of y over the change of x which here is 2/3. Then, you put one of the points in and solve. I used (3,7) When you input them into the equation, you get 7=2/3 (3)+_ Which gives you 7=2+_ .
5+2 is seven, so the blank is 5. So, when you do that, you get Y=2/3x+5.
If you need more of an explanation, comment.
Answer: Hi the answer is A. The number of observations is 10
Step-by-step explanation:hope this helped
Given equation :−1/2 (x+2) + 112x = 3
We have -1/2 in front of parenthesis on left side .
It's better to remove fraction in an equation, in order make it easier to solve.
In order to remove 2 from denominator of 2, we need to multiply each and every term by 2.
Multiplying each term in the equation by 2, we get
2* −1/2(x+2) +2* 112x = 2*3.
On simplifying this step, we get
-1(x+2) +224x = 6.
Distributing -1 over (x+2), we get
-x -2 +224x = 6
Combining like terms on left side, -x+224x=223x
223x -2 = 6
Adding 2 on both sides, we get
223x -2+2 = 6+2
223x = 8
Dividing both sides by 223, we get
223x/223 = 8/223.
x= 8/223.