Answer:
The correct option is B.
Step-by-step explanation:
It is given that Joe paid 14.00 for a board game this is 70% of the original price what is the original price.
Let the original price of board game be x.
![x\times \frac{70}{100}=14](https://tex.z-dn.net/?f=x%5Ctimes%20%5Cfrac%7B70%7D%7B100%7D%3D14)
![x\times \frac{7}{10}=14](https://tex.z-dn.net/?f=x%5Ctimes%20%5Cfrac%7B7%7D%7B10%7D%3D14)
Multiply both sides by 10.
![7x=140](https://tex.z-dn.net/?f=7x%3D140)
Divide both sides by 7.
![x=20](https://tex.z-dn.net/?f=x%3D20)
The original price is 20. Therefore the correct option is B.
In triangle ABC,
AC = 12/ (sin30) = 12 / (1/2) = 24
DC = 24-x
DB = DC tan 30 = (24-x) tan30 <span>=(24−x)/</span><span>√3
</span>
In triangle ADB using Pythagorean Theorem<span><span>x2</span>+((24−x)/<span>√3</span><span>)2</span>=<span>12^2</span></span><span><span>x2</span>+(24−x<span>)^2</span>/3=<span>12^2</span></span><span>3<span>x2</span>+(24−x<span>)^2</span>=432</span><span>4<span>x2</span>−48x+576=432</span><span>4<span>x2</span>−48x+144=0</span><span><span><span>x2</span>−12x+36=0
x1 = x2 =6
AD = AC - DC = 24- (24-x) = 6</span></span>
The distance is 4 squares between.
-Appari
Answer: A. 3072 cm³
Step-by-step explanation:
The formula for determining the volume of a rectangular prism is expressed as
Volume = length × width × height
Looking at the diagram,
Length = 6 cm
Width = 4 cm
Height = 2 cm
When the measures are multiplied by 4, then
Length = 6 × 4 = 24 cm
Width = 4 × 4 = 16 cm
Height = 2 × 4 = 8 cm
Therefore,
Volume = 24 × 16 × 8 = 3072 cm³