7=[(3+4)/2]h
7 = [(7/2)]h
<u>7 </u> = <u>(3.5)</u>h
3.5 3.5
(reverse sides)
h = 2 m
Answer:
Step-by-step explanation:
<h3>
Answer: x = 12</h3>
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Explanation:
The hexagon is broken up into 6 congruent or identical equilateral triangles. If we find the area of one triangle, then we multiply by 6 to get the area of the hexagon.
Going in reverse, we divide the hexagon's area by 6 to get the area of one equilateral triangle
We're told the hexagon has an area of square inches. Divide this by 6 and you should get the result . So each of the six equilateral triangles has area of square inches.
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Each triangle has a base of and a height of
The x/12 and x/6 are exponents.
Let and be the base and height respectively.
Also, let be the area of the triangle
We can then solve for x like so:
Since the bases are equal to 3, this means the exponents must be equal as well (for both sides overall to be equal)
3/2 = x/8
3*8 = 2*x ... cross multiply
24 = 2x
2x = 24
x = 24/2
x = 12
If we represents a book's cost as x, that would mean that 5*x would represent the cost of 5 books (as x+x+x+x+x=5x) and 4x would be 4, resulting in 5x+4x=9x. After that, we get that 19 books is 19x as the cost, but since Agnus gets a 10 dollar discount, it's 19x-10. After that, to combine the two, we notice that Agnus still spends 5$ more than what they spent combined (9x) so we get that 9x+5=19x-10. Subtracting 9x from both sides, we get 10x-10=5. Adding 10 to both sides there, we get 10x=15 and we can divide 10 by both sides to get x=1.5
If you type the equation into y1 on your calculator and use the table graph you get coordinates that you can graph. ( 0,-9 ) ( 1,-6 ) ( 2, -3 ) ( 3 , 0 ) ( 4, 3 ) ( 5 , 6 ) ( 6 , 9 ), just graph those and that should answer your question :)