Answer:
The volume of the prism is 
Step-by-step explanation:
we know that
The volume of the prism is equal to

where
B is the area of the triangular base
L is the length of the prism
we have

<em>Find the area of the base B</em>
The area of a equilateral triangle is equal to


substitute

Answer:
x = ±√37/9
Step-by-step explanation:
x² = 37/81
√(x²) = √(37/81)
x = ± √(37)/√(81)
x = ± √37/9
A histogram is used to show the frequency of data, where the length of the bar represents the frequency.
<em>50 students drank the recommended amount of water.</em>
The recommended amount is given as:

See attachment for histogram.
From the histogram, we have the following observations
- <em>The lengths of all bars of the histogram are less than 48, except one.</em>
- <em>The length of the bar above 48 is 50.</em>
<em />
This means that: 50 students drank the recommended amount of water.
<em>Hence, the number of students is 50</em>
Read more about histograms at
brainly.com/question/24577156
Divide 42 by 4 for one fourth. Divide 13.5 by 5 and multiply that by 2.
Answer:
2x - 3
x - 9
Step-by-step explanation:
The root of a problem is the x value that makes the equation equal to zero.
If the factored form of the equation is (2x-3)(x-9) that means if either 2x - 3 or x - 9 is equal to zero, the entire equation will equal zero, because zero times any number is equal to zero.
Therefore you must solve for (2x-3)=0 and (x-9)=0