Answer: The answers is (B) equal areas.
Step-by-step explanation: Given that two triangles have equal perimeters.
As shown in the attached figure, let us consider two right-angles triangles, ΔABC and ΔDEF, with sides AB = 3 cm, BC = 4 cm, AC = 5 cm, DE = 4 cm, EF = 3 cm and DF = 5 cm.
So the perimeters of both the triangles = 3 + 4 + 5 = 4 + 3 + 5 = 12 cm.
Since volume term is not valid in case of triangles, so they cannot have equal volumes. Therefore, option (A) is incorrect.
Area of ΔABC is
and area of ΔDEF is
Therefore, they may have equal areas and so option (B) is correct.
If the triangles have equal bases, then the heights will also be equal and both the triangles will be same. Similar is the case with equal heights. So, options (C) and (D) are incorrect.
Thus, the correct option is (B). equal areas.
Answer: (a) 9
<u>Step-by-step explanation:</u>
1st multiple of 3: 1(3x)
2nd multiple of 3: 2(3x)
3rd multiple of 3: 3(3x)
Sum = 4(1st multiple of 3) + 6
1(3x) + 2(3x) + 3(3x) = 4(3x) + 6
3x + 6x + 9x = 12x + 6
18x = 12x + 6
6x = 6
x = 1
Largest (3rd) multiple is: 3(3x)
= 9x
= 9 · 1
= 9
Answer:
3,833 for $28
2167 for $40
Step-by-step explanation:
Let X be the number of tickets sold at the price of $24, And Y be the number of tickets sold at the price of $40.
Now, $ 28X will be the revenue generated due to the $28 tickets
And, $40Y will be the revenue generated due to the 40$ tickets.
Now, Total revenue generated should be $194400.
Thus , 28X + 40Y = 194400 -(1).
Also,
Total number of seats in theater is 6000.
So, X + Y = 6000. -(2)
X = 6000 - Y.
Put in equation 1
We get , 168,000 - 28Y + 40Y = 194,400
12Y = 26,000
Y = 2,166.66
Since , Y is of 40 $ so minimum tickets sold should be 2167.
X = 3,833.
You would use the equation
F+V=E+2
Since the height is different on both ends, we can assume that the wall is a trapezoid. Knowing that, we can replace the measures we know in the formula and our onky variable is the length of the wall - we only need to isolate it.
A= ((b+B)h)/2
26.4=((2+2.4)h)/2
52.8=4.4h
h=12
