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Gemiola [76]
3 years ago
7

Malaya is making a collage of her birthday party photos and she wants to add an 8 x 10 inch. photo. Since there is not enough sp

ace left on the collage, she must trim the photo. If the scale factor from the original to the trimmed photo is 5:4, the new dimensions of the photo are ______.
A. 7 x 9 in
B. 6.2 x 7.6
C. 6.4 x 8 in
D. 5.4 x 6.8
Mathematics
1 answer:
sergij07 [2.7K]3 years ago
3 0

Answer:

The answer is C. 6.4 X 8 in

Step-by-step explanation:

If the scale factor from the original to the trimmed photo is 5:4

The statement above just means the scale of the old dimension is 5 while the scale of the new dimension is 4.

To get the new dimensions, multiply each of the old dimensions by 4/5

4/5 X 10 = 8

4/5 X 8 = 6.4

Therefore the new dimension is 6.4 X 8 in

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5 0
2 years ago
Suppose a city with population of 400,000 has been growing at a rate of ​5% per year. If this rate​ continues, find the populati
kakasveta [241]

The number of years value isn't given, we could use an hypothetical value, which can be substituted for the correct number of years given in your exercise in other to find the exact answer.

Using a t value of 10 years

Answer:

651558

Step-by-step explanation:

Given that:

Initial population, P0= 400,000

Growth rate, r = 5%

Using the relation :

P(t) = P0 * (1 + r)^t

t = number of years = 10

P(10) = 400000 * (1 + 0.05)^10

P(10) = 400000 * (1.05)^10

P(10) = 400000 * 1.628894626777

P(10) = 651557.8507

= 651558 nearest whole number.

Recall that, the t value used is hypothetical and should be replaces with te exact value given in your question.

7 0
2 years ago
The graph of f(x) is obtained by reflecting the graph of g(x)=3|x| over the x-axis.
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Answer:

Choice B), f(x) = -3|x|.

Step-by-step explanation:

Each point on the graph of g(x) can be represented as (x, g(x)).

When the graph of g(x) is reflected over the x-axis, each point on the graph is also reflected over the x-axis. The x-coordinate of each point will not change but the sign in front of the y-coordinate will flip. For example, 1 (same as +1) will become -1, and vice versa. In general, (x, g(x)) will become (x, -g(x)).

On the other hand, points on the graph of f(x) can be represented as (x, f(x)). f(x) is the reflection of g(x), so (x, -g(x)) and (x, f(x)) shall be equivalent. In other words,

f(x) = -g(x) = - 3|x|.

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Using
sum = (n-2)180
= (15-2)180 = 13×180 = 2340°
5 0
3 years ago
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