Find the area of the lateral faces of the right triangular prism with altitude of 5 cm and base edges of length 3 cm, 4 cm, and 5 cm.
Answers
area of lateral faces = 60 cm²
Explanation:
The lateral area of the triangular prism can be calculated as follows:
lateral area = s₁h₁ + s₂h₂ + s₃h₃
We have:
h₁ = h₂ = h₃ = height of prism = 5 cm
Therefore, the formula became:
lateral area = h (s₁ + s₂ + s₃)
We area given that:
s₁ = 3 cm
s₂ = 4 cm
s₃ = 5 cn
Substitute with these givens in the above equation to get the lateral area as follows:
lateral area = 5 (3+4+5)
lateral area = 5(12)
lateral area = 60 cm²
Hope this helps :)
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Thus,
Answers
7 yards ÷ 4 dresses
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 4.
7÷4= 1.75
_
4÷4=1.
Therefore, Kate used 1.75 yards per one dress (1.75 yds. p/ d)
Hope I helped! :)
Stops Price (dollars)
3 6.50
7 12.50
11 18.50
What is the initial fee?
Answers
Answer:
Initial Fee is $2.
Step-by-step explanation:
Given:
Stops Price (dollars)
3 6.50
7 12.50
11 18.50
Also Given:
The price of a train ticket consists of an initial fee plus a constant fee per stop.
So let the Cost of initial fee be 'x'.
Also Let the Cost of Constant fee be 'y'.
Now Equation can framed as;
Now According to table;
Number of stops = 3
Price = 6.50
So equation can be framed as;
Also According to table;
Number of stops = 7
Price = 12.50
So equation can be framed as;
Now Subtracting equation 1 from equation 2 we get;
Substituting the value of y in equation 1 we get;
Hence Initial Fee is $2.
Final answer:
The initial fee of a train ticket, given a constant fee per stop, can be calculated by finding the constant fee per stop and subtracting the total of this fee for a given number of stops from the total price for those stops. By this calculation, the initial fee is $2.50.
Explanation:
To determine the initial fee that is related to the price of a train ticket, which consists of an initial fee plus a constant fee per stop, we should first calculate the cost per stop. We can do this by subtracting the price of a ticket for 3 stops from the price of a ticket for 7 stops. So, we get $12.50 - $6.50 = $6.00. We find the difference in the number of stops, which is 7 - 3 = 4 stops. Divide the total price difference by the difference in the number of stops to get the constant fee per each stop: $6.00 / 4 stops = $1.50 per stop. Now we know the constant fee for each stop, so we subtract that from the total price for 3 stops to find the initial fee: $6.50 - ($1.50 * 3) = $2.50. So, the initial fee is $2.50.
To find the initial fee, we need to determine the additional cost per stop. We can do this by using the formula y = mx + b, where y represents the price of the ticket, x represents the number of stops, m represents the constant fee per stop, and b represents the initial fee.
Using the given data, we can set up two equations using the points (3, 6.50) and (7, 12.50).
By subtracting these two equations, we can determine the value of b, which represents the initial fee. Thus, the initial fee is $3.
Learn more about Initial Fee here:
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