Answer:
42.5 units^2
Step-by-step explanation:
We can split up this shape into smaller ones.
First we can start with the large rectangle on top
We know its 9 by 3.5
9x3.5=31.5
The large rectangle is 31.5, at the end we'll add them all together
Next we can work on the small triangle on the bottom left
Area= bh/2
Both the base and height are 2, 2x2=4 4/2=2, The area of that triangle is 2
Now we can work on the triangle on the bottom right. This time the base is 5
5x2=10 10/2=5, The area of that triangle is 5
Now we need to figure out the square/rectangle at the bottom. We only know one side is 2. We can figure out the top side. Since the very top of the shape is 9, we know that the bottom side of the large rectangle also has to add to 9. We know the values 2 and 5. 2+5+x=9, the missing length that's there is 2.
Now we know the small square is 2 by 2. 2x2=4 The square's area is 4
Now we add them all up.
31.5+2+5+4=42.5
Answer:
The number of boys in the school is;
Explanation:
Given that the ratio of boys to girls in a school is 5:4;
And there are 500 girls in the school.
The number of boys in the school will be;
Therefore, the number of boys in the school is;
Answer: x-6
Explanation: x^2 is a DOTS, or difference of two squares. 36 is a perfect square and x^2 is a perfect square, and you are finding the difference. Therefore, you can do (x+6)(x-6). This works with any number. If there was x^2-16, it could be factored to (x+4)(x-4)
This question wants to know the domain. For example: (2,4) 2 is the domain and 4 is the range.
Then, they want you to solve by finding X the range when x =-1
x-4/x^2+5x-36
Put -1 everytime you see x
-1-4/-1^2+5(-1)-36
-5/1+(-6)-36
-5/-41 This is the range.
I think the answer is 1
Explanation:2x+2=x+3
Subtract the 2 and the x from both sides
1x=1
Divide by one then you get 1
