Answer:
Question-6;
The value of
Question-7;
So the Answer is 'A'
Step-by-step explanation:
Question-6;
From the portion 'ABCD';
Given the area of rectangle 'ABCD' is
,
and
![in](https://tex.z-dn.net/?f=in)
We have the formula to find the area of rectangle;
Area of rectangle 'ABCD'![=AD\times DC](https://tex.z-dn.net/?f=%3DAD%5Ctimes%20DC)
![30=4\times x](https://tex.z-dn.net/?f=30%3D4%5Ctimes%20x)
![x=\frac{30}{4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B30%7D%7B4%7D)
![in](https://tex.z-dn.net/?f=in)
So the value of
.
Question-7;
From figure;
Given;
All values
,
,
,
and
![cm](https://tex.z-dn.net/?f=cm)
In Rectangle 'ABIJ' have three sub-rectangle which are 'ABCD' , 'CDFG' and 'FGIJ'
Area of Rectangle 'ABIJ' equal to sum of area of Rectangle 'ABCD' , area of Rectangle 'CDFG' and area of Rectangle 'FGIJ'
Area of Rectangle 'ABIJ'
Plug all values in above equation,
Area of Rectangle 'ABIJ'![=(9\times 5)+(9\times 4)+(9\times 3)](https://tex.z-dn.net/?f=%3D%289%5Ctimes%205%29%2B%289%5Ctimes%204%29%2B%289%5Ctimes%203%29)
Area of Rectangle 'ABIJ'
![cm^{2}](https://tex.z-dn.net/?f=cm%5E%7B2%7D)
Also from figure;
and
have same Area.
Total Area of this two triangle![=2\times Area of \bigtriangleup CEF](https://tex.z-dn.net/?f=%3D2%5Ctimes%20Area%20of%20%5Cbigtriangleup%20CEF)
Total Area of this two triangle![=2\times\frac{1}{2}\times BASE \times HIGHT](https://tex.z-dn.net/?f=%3D2%5Ctimes%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20BASE%20%5Ctimes%20HIGHT)
Total Area of this two triangle
Plug 'EF' and 'CF' values in above equation,
Total Area of this two triangle![=2\times \frac{1}{2} \times3 \times 4](https://tex.z-dn.net/?f=%3D2%5Ctimes%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes3%20%5Ctimes%204)
Total Area of this two triangle
![cm^{2}](https://tex.z-dn.net/?f=cm%5E%7B2%7D)
∴ Total surface area of the building block is
![cm^{2}](https://tex.z-dn.net/?f=cm%5E%7B2%7D)
Answer:
y = 8x + 12
Step-by-step explanation:
y = (2x + 3)4
Distribute the 4 to the 2x and 3
y = 8x + 12
^ Expanded form
Answer:
The answer is 3
Step-by-step explanation:
16 is the answer. I can explain if you need
Answer:
The answer is 48 people.
Step-by-step explanation:
We can write the equation like following:
![n=(3n/4)+12\\4n=3n+48\\n=48](https://tex.z-dn.net/?f=n%3D%283n%2F4%29%2B12%5C%5C4n%3D3n%2B48%5C%5Cn%3D48)
The cable car can carry 48 people at most.