Recall that the volume of a regular prism is given by the area of the base times the height.
Given that the base of the prism is a regular pentagon with an apothem of 2.8 centimeters.
The pentagon consist of 5 isosceles triangles with the apothem as the height and the side of the pentagon as the base.
Recall that the are of a triangle is given by 1/2 base times height.
Thus the area of of the pentagon base of the prism is given by
Therefore, the volume of the prism is given by
Answer:
-1/2 or the decimal form -0.5
Volume of cylinder=πr²h volume of another cylinder=πr²h
=22/7×1.5×1.5×8 =22/7×2.5×2.5×12
=396/7 =1560/7
=56.57 =235.71
=235.71-56.57
=179.14 amount of water is able to hold by the larger cylinder
Answer:
The maximum amount of people that can go to the amusement park is 15.
Step-by-step explanation:
First you create an equation to represent the question
8.75+25.75x≤420
You put the less than or equal to sign because 420 is the maximum amount of money.
Now you just solve the equation.
25.75x≤420-8.75
25.75x≤411.25
x≤411.25/25.75
x≤15.9708738
Then you have to round down because you cant have .9 of a person.
So x≤15
Then, Check your solution
8.75+(25.75 x 15)≤420
8.75+386.25≤420
395≤420
That is true. But to make sure that is the maximum add another 25.75
395+25.75≤420
420.75≤420
This is equation is false so, our answer is correct.
The maximum amount of people that can go to the amusement park is 15.
The answer would be 12 feet square.
That’s because taking out the square is taking out an area of 4 feet square. If you substitute the 4 feet square back in, that would fill in the empty spot marked with the 2 feet by 2 feet dimensions. Then, you could treat it like a rectangle of 4 by 3. If you multiply them you’ll get 12 feet square which is your answer. Hope this helps
