X = 3/2
Y = -3
-6x-5(3-4x)=6
Y=3-4(3/2)
Answer:
w=5
Step-by-step explanation:
the triangle has the same size of area as the side of the rectangle so therefore 5
Given:
The surface area of a right circular cone is 32 sq. cm.
Scale factor for enlargement = 3
To find:
The surface area of the new cone.
Solution:
We know that enlargement of a shape forms a similar shape and area of the similar shapes is proportional to the square of their corresponding sides.
![\dfrac{\text{Area of cone}}{\text{Area of new cone}}=\dfrac{\text{Radius of cone}^2}{\text{Radius of new cone}^2}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctext%7BArea%20of%20cone%7D%7D%7B%5Ctext%7BArea%20of%20new%20cone%7D%7D%3D%5Cdfrac%7B%5Ctext%7BRadius%20of%20cone%7D%5E2%7D%7B%5Ctext%7BRadius%20of%20new%20cone%7D%5E2%7D)
Let the surface area of new cone be A and r be the radius of original cone
![\dfrac{32}{A}=\dfrac{(r)^2}{(3r)^2}](https://tex.z-dn.net/?f=%5Cdfrac%7B32%7D%7BA%7D%3D%5Cdfrac%7B%28r%29%5E2%7D%7B%283r%29%5E2%7D)
![\dfrac{32}{A}=\dfrac{r^2}{9r^2}](https://tex.z-dn.net/?f=%5Cdfrac%7B32%7D%7BA%7D%3D%5Cdfrac%7Br%5E2%7D%7B9r%5E2%7D)
![\dfrac{32}{A}=\dfrac{1}{9}](https://tex.z-dn.net/?f=%5Cdfrac%7B32%7D%7BA%7D%3D%5Cdfrac%7B1%7D%7B9%7D)
By cross multiplication, we get
![32\times 9=1\times A](https://tex.z-dn.net/?f=32%5Ctimes%209%3D1%5Ctimes%20A)
![288=A](https://tex.z-dn.net/?f=288%3DA)
The surface area of the new cone is 288 sq. cm.
Therefore, the correct option is C.
Answer:
18.85
Step-by-step explanation:
The area of a circle is A= pi × r² (r being the radius)
The radius is half the diamter so the radius would be 6
Plug 6 into the equation for the radius
A = pi × 6²
A = pi ×36
A= 18.85
Answer:
Step-by-step explanation:
1) The first step is to find the common difference of the table so that we know the amount you need to pay per person without counting the vehicle cost.
2) We can find this by doing (20-14)/(4-2)=3. Just to check, we can do (32-20)/(8-4)=3.
3) Using the hint, we know that the vehicle cost is $8, but if you want to find it, you should do 14-2X(the value per person)=14-2X3=8.
4) So, if there are 30 people on the bus, in order to find the value you need to pay, you must do 30X3+8=98.
5) So the answer is 98.