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Verizon [17]
3 years ago
14

josiah is taking his friends to the movies each ticket cost $10, and popcorn is $5 a bag. there is a 3$ service fee for the enti

re purchase he has 75$. If he buys 4 tickets, what is the maximum number of bags of popcorn he can buy
Mathematics
1 answer:
zavuch27 [327]3 years ago
6 0
Automatically your going to spend $43.00 just on tickets with the $3.00 service fee. So 6x5=30. The 6 equals 6 bags of popcorn and 5 equals the cost of the bags of popcorn. if you add 30 and $43.00 you get $73.00 With 2 dollars left to spends. So the max number of bags of popcorn he can buy is 6 bags! 
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Con
mr Goodwill [35]

Answer:

The coordinates of E are E(x,y) = \left(\frac{9}{2}, 0 \right).

Step-by-step explanation:

The triangle ABC represents a right triangle as both sides AB and AC are orthogonal to each other. The side AB is in the y axis, whereas the side AC is in the x axis. The triangle is dilated with respect to the origin, in which point A is set.

Vectorially speaking, dilation is defined by the following operation:

P'(x,y) = O(x,y) + k\cdot [P(x,y) - O(x,y)] (1)

Where:

O(x,y) - Point of reference.

P(x,y) - Original point.

P'(x,y) - Dilated point.

k - Dilation factor.

By applying this operation, point B becomes point D:

B(x,y) = (0,4), D(x,y) = (0,6)

D(x,y) = (0,0) + k\cdot [(0,4)- (0,0)]

D(x,y) = (0,0) + k\cdot (0,4)

(0,6) = (0,0) +(0,4\cdot k)

(0, 6) = (0,4\cdot k)

k = \frac{3}{2}

Lastly, we transform point C into point E by applying the same operation: C(x,y) = (3, 0), O(x,y) = (0,0) and k = \frac{3}{2}

E(x,y) = (0,0) + \frac{3}{2}\cdot [(3,0)-(0,0)]

E(x,y) = \left(\frac{9}{2}, 0 \right)

The coordinates of E are E(x,y) = \left(\frac{9}{2}, 0 \right).

8 0
3 years ago
What kind of triangle is this?
Sindrei [870]
Right angle
Te reason being is that it has a 90° corner.

Hoped this helped
3 0
3 years ago
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Answer:

please do not give this irrivilant question

5 0
3 years ago
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Find all values of x in the interval [0,2π] that satisfy the equation sin2x=cosx. enter your answers as a list of numbers separa
yuradex [85]

\sin(2x)  =  \cos(x)  \\ 2 \sin(x)  \cos(x) =  \cos(x)  \\  \cos(x) (2 \sin(x)  - 1) = 0
so
\cos(x)  = 0 >  >  > x =  \frac{\pi}{2}  + k\pi \\  \sin(x)  =  \frac{1}{2}  >  >  > x =  \frac{\pi}{6}  + 2k\pi \\ or \: x =  \frac{5\pi}{6}  + 2k\pi
x =  \frac{\pi}{2} or \frac{3\pi}{2} \\  x =  \frac{\pi}{6} or \frac{5\pi}{6}
6 0
3 years ago
A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6. Find the total area of the pyramid.
denpristay [2]
The area is given by:
 A = Ab + Al
 Where,
 Ab: base area
 Al: lateral area
 The area of the base is:
 Ab = (3/2) * (L ^ 2) * (root (3))
 Where,
 L: side of the hexagon.
 Substituting we have:
 Ab = (3/2) * (4 ^ 2) * (root (3))
 Ab = (3/2) * (16) * (root (3))
 Ab = 24raiz (3)
 The lateral area is:
 Al = (6) * (1/2) * (b) * (h)
 Where,
 b: base of the triangle
 h: height of the triangle
 Substituting we have:
 Al = (6) * (1/2) * (4) * (6)
 Al = 72
 The total area is:
 A = 24raiz (3) + 72
 Answer:
 
A = 24raiz (3) + 72
7 0
3 years ago
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