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Karo-lina-s [1.5K]
3 years ago
11

$#6 find the value if x. round answer to nearest tenth.

Mathematics
1 answer:
marysya [2.9K]3 years ago
4 0

Answer:

Step-by-step explanation:

The hypotenuse of the right angle triangle is 24

With m∠x as the reference angle,

The adjacent side of the right angle triangle is 17

The unknown side represents the opposite side of the right angle triangle.

To determine m∠x, we would apply

the cosine trigonometric ratio.

Cos θ = adjacent side/hypotenuse. Therefore,

Cos x = 17/24= 0.708

x = Cos^-1(0.708)

x = 55.0° to the nearest tenth.

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10 milligrams

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We are required to compare the magnitude for two earthquake intensity:
the larger intensity is 7.9
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thus the ratio of the intensity will be:
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Thus we conclude that:
The larger earthquake's intensity was 2 times as great as the smaller earthquake's intensity. 

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Which table represents exponential growth? A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. T
Papessa [141]

Answer:

Table 2

Step-by-step explanation:

We have the tables:

<u>Table 1:</u>

x: 1  2  3  4

y: 2  4  6  8

<u>Table 2:</u>

x: 1  2  3  4

y: 2  4  8  16

<u>Table 3:</u>

x: 1  2  3  4

y: 2  4  7  11

<u>Table 4:</u>

x: 1  2  3  4

y: 2  4  6  10

An exponential growth data set will show a common ratio between y values. Let's look at each of the ratios from each table.

<u>Table 1:</u>

8/6 = 4/3

6/4 = 3/2

Already, we can see that 4/3 ≠ 3/2, which means that this doesn't have a common ratio. So Table 1 is wrong.

<u>Table 2:</u>

16/8 = 2

8/4 = 2

4/2 = 2

The common ratio here is 2, so we know this is correct.

<u>Table 3:</u>

11/7 = 1.57

7/4 = 1.75

Again, we can see that 1/57 ≠ 1.75, so this is wrong.

<u>Table 4:</u>

10/6 = 1.67

6/4 = 1.5

Again, there is no common ratio here, so this is wrong.

The answer is thus Table 2.

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