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2 years ago

11 m

Mathematics

1 answer:

Ipatiy [6.2K]2 years ago

5 0

Answer: 82m2

Step-by-step explanation:

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A family of two adults and three children goes to a play admission costs eight dollars per adult and $5 per child. What expressi

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D = adult
c = child
t = total admission cost

t = 8d + 5c

t = 8(2) + 5(3) = $31

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Parallelogram FGHJ was dilated and translated to form

Mrrafil [7]

Answer: The required scale factor of the dilation is 4.

Step-by-step explanation: Given that the parallelogram FGHJ was dilated and translated to form similar parallelogram F'G'H'J'.

We are to find the scale factor of the dilation.

From the graph, we note that

JH = 2 units and J'H' = 8 units.

We know that

$\textup{Scale factor of dilation}=\dfrac{\textup{length of a side of the dilated figure}}{\textup{length of the correponding side of the original figure}}.$

Therefore, the scale factor of the given dilation is

$S=\dfrac{J'H'}{JH}\\\\\\\Rightarrow S=\dfrac{8}{2}\\\\\Rightarrow S=4.$

Thus, the required scale factor of the dilation is 4.

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Temka [501]

(x)+(x+1)+(x+2)=228.

3x+3=228
3x=225
x=75
Integer 1: 75
Integer 2: 76
Integer 3: 77

75+76+77=228

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First note that $\frac{2^n+1}{2^{n+1}} = \frac{2^n}{2^{n+1}} + \frac{1}{2^{n+1}} = \frac{1}{2} + \frac{1}{2^{n+1}}$

If you take limit, then you have $\lim_{n \to \infty}( \frac{1}{2} + \frac{1}{2^{n+1}})= \lim_{n \to \infty}( \frac{1}{2}) +\lim_{n \to \infty}(\frac{1}{2^{n+1}})=\frac{1}{2} +0= \frac{1}{2}$

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