A concession stand sells hamburgers (h) for $2 and hotdogs (d) for $1. On Friday night they sold a total of 300 hamburgers and h
2 answers:
Answer: 120 hamburgers and 180 hotdogs
Step-by-step explanation:
Let 'x' be the number of hamburgers and 'y' be the number of hotdogs sold.
Then, the total number of hamburgers and hotdogs sold on friday will be given by :_
On the basis of their cost, the total cost will be:-
Subtract (1) from (2), we get
Substitute the value of x in (1), we get
Hence, they sold 120 hamburgers and 180 hotdogs.
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Answer: 26.457 cm
Explanation:
First, the height of an equilateral triangle of side length a is:
In this case, the side-length of the triangles is a = 10cm, then the height will be:
Now we can think on a triangle rectangle such that:
Point A and point F are vertexes of the triangle.
The line we want to find, the line from A to F, is the hypotenuse.
One cathetus is a the height of the triangle, that comes down from point A, the length of this cathetus is 8.66cm
The other cathetus is equal to half the side length of the triangles (5cm) plus the segments BD and DF (of 10cm each)
Then the length of this cathetus is 10cm + 10cm + 5cm = 25cm
Now, we can remember the Pythagorean theorem.
If H is the hypotenuse, and A and B are the catheti, then we have:
A^2 + B^2 = H^2
In this case, we know the length of both cathetus, and want to know the length of the hypotenuse, then:
(25cm)^2 + (8.66cm)^2 = H^2
√( (25cm)^2 + (8.66cm)^2) = H = 26.457 cm
Then the line from A to F is 26.457 cm