Which proportion could be used to determine if the figure ms represent a dilation

Mathematics

1 answer:

Bas_tet [7]3 years ago

8 0

Step-by-step explanation:

Three-halves = 4 = 6

HOPE SO IT HELP'S YOU

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3 years ago

What are the coordinates of the image of the point (4,5) after reflecting over the y-axis

NemiM [27]

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3 years ago

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Sveta_85 [38]

The second expression uses the greatest common factor and the distributive property to rewrite the sum 60 + 24.
60, 24
60 = 2² × 3 × 5
24 = 2³ × 3
We take the highest common factors -
=> 2² × 3
=> 4 × 3
=> GCF: 12
Therefore, the correct factored expression would be 12(5 + 2), which matches the second expression. Hope this helped!

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4 years ago

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Ursula and yi share a submarine sandwich Ursula eats 2/8 of the sandwich yi eats 3/8 of the sandwich how many of the sandwich do

Alex Ar [27]

Answer:

Step-by-step explanation:

the 2 friend eat 5/8

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2 years ago

Suppose a ball is dropped from a height of 16 feet. Each time it drops h feet, it rebounds 0.81h feet. Find the total distance t

Roman55 [17]

When the ball is first dropped, it falls $h$ feet. On the first bounce, it rebounds $0.81h$ feet, which means on the second "drop" it must travel $0.81h$ feet again. On the second bounce, the ball rebounds $0.81(0.81h)=0.81^2h$ feet, and on the third drop falls the same distance. And so on.

So there are two directions to track:

$\text{downward: }\displaystyle h+0.81h+0.81^2h+\cdots=\sum_{n=0}^\infty 0.81^nh$
$\text{upward: }\displaystyle 0.81h+0.81^2h+\cdots=\sum_{n=1}^\infty 0.81^nh$

The total distance is the sum of these two:

$\displaystyle\sum_{n=0}^\infty 0.81^nh+\sum_{n=1}^\infty 0.81^nh=h+2h\sum_{n=1}^\infty 0.81^n$

Recall that for an infinite geometric sum, you have

$\displaystyle\sum_{n=0}^\infty r^n=1+\sum_{n=1}^\infty r^n=\frac1{1-r}$

provided that $|r|$ . So the total distance traveled by the ball is

$h+2h\left(\dfrac1{1-0.81}-1\right)\approx9.53h$

Starting with a height of $h=16$ means the total distance is about 152.42 ft.

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3 years ago