We will use the Pythagorean theorem:
8² + 12² = c²
64 + 144 = c²
c = √208 ≈ 14.42
14.42 - 12 = 2.42 in
The direct distance between the lizard and the cactus is 2.42 inches.
Answer:
$-4
Step-by-step explanation:
Your welcome
The system of equations becomes:
s + u = 28 This represent the number of candles sold
16s + 10u = 400 This represents the value of the candles sold
Given:
A figure that contains a right triangular prism and cuboid.
To find:
The volume of the figure.
Solution:
The dimensions of cuboid are 16 in, 7 in and 3 in.
So, the volume of the cuboid is:
![V_1=Length\times Width \times height](https://tex.z-dn.net/?f=V_1%3DLength%5Ctimes%20Width%20%5Ctimes%20height)
![V_1=16\times 7 \times 3](https://tex.z-dn.net/?f=V_1%3D16%5Ctimes%207%20%5Ctimes%203)
![V_1=336](https://tex.z-dn.net/?f=V_1%3D336)
The base of the prism is a right angle with base 3 in and height 5 in, and the length of the prism is 6 in. So, the base are of the prism is
![B=\dfrac{1}{2}\times Base\times Height](https://tex.z-dn.net/?f=B%3D%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%20Base%5Ctimes%20Height)
![B=\dfrac{1}{2}\times 3\times 5](https://tex.z-dn.net/?f=B%3D%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%203%5Ctimes%205)
![B=7.5](https://tex.z-dn.net/?f=B%3D7.5)
The volume of a prism is:
![V_2=Bh](https://tex.z-dn.net/?f=V_2%3DBh)
Where, B is the base area and h is the height of the prism.
![V_2=(7.5)(6)](https://tex.z-dn.net/?f=V_2%3D%287.5%29%286%29)
![V_2=45](https://tex.z-dn.net/?f=V_2%3D45)
The volume of combined figure is:
![V=V_1+V_2](https://tex.z-dn.net/?f=V%3DV_1%2BV_2)
![V=336+45](https://tex.z-dn.net/?f=V%3D336%2B45)
![V=381](https://tex.z-dn.net/?f=V%3D381)
Therefore, the volume of the figure is 381 cubic in.