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zhannawk [14.2K]
3 years ago
13

How do I solve this?

Mathematics
1 answer:
Serhud [2]3 years ago
8 0

Answer:

44.94

Step-by-step explanation:

Use trigonometric ratios to find the unknown side.

Since you are given the adjacent side and the opposite side is in question, use the tangent ratio.

tan(x) = opposite/adjacent

Replace the variables with given values.

tan(59) = x/27

Isolate the variable.

27tan(59) = x

Use a calculator to evaluate the answer.

x = 27tan(59) ≈ 44.94

Please mark as Brainliest! :)

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Can somebody help me with my geometry?
ahrayia [7]
The slope of AC is -0.4

Proof:
In triangles ABC and DBE,
∠DBE is common to both triangles.
AB = 2DB (D is the midpoint of the interval AB)
Also, BC = 2BE (E is the midpoint of the interval BC)

Thus triangles ABC and DBE are similar in the ratio 2:1

Since, they are similar, ∠BDE must equal ∠BAC (corresponding angles in similar triangles)

If ∠BDE = ∠BAC, DE must be parallel to AC (corresponding angles are equal along parallel lines)
Thus, the slope of AC = the slope of DE
Thus, the slope of AC is -0.4

3 0
3 years ago
One of the authors came across an article (USA Today, 2008) that said that on average Americans have visited 16 states in the Un
Daniel [21]

Answer:

1. a. Students

2. d. number of U.S. states visited, quantitative

3. a. H o: mu = 16, Ha: mu ≠ 16

4. (7.46,11.50)

Step-by-step explanation:

1. The researcher is interested in finding out the average number of states in US that the students have visited.

The unit that is being observed to arrive at that conclusion is the Students. The observational unit for this study is  a. Students.

2. The variable of interest from the information above is the number of U.S. states visited. The observations recorded for this variable are in numbers which are numeric in nature. This implies that the variable is quantitative in nature.

Therefore, the answe  is d. number of U.S. states visited, quantitative

3. To test whether the average number of states all students at the author’s school have visited,

The null hypothesis (H o) is always given as the negation statement/null of what we wish to test.

So, we wish to test that the average is different from 16. Therefore, the null would be that the average is 16.

Answer  is a. H o: mu = 16, Ha: mu ≠ 16

4. A  95% confidence interval for the average number of states all students at the author’s school have visited can be calculated using the formula:

x  bar + or - 2 √s/n

=9.48 + or - 2 × 7.13/ √50

= (7.46,11.50)

The 95% confidence interval for the average number of states all students at the author’s school have visited is (7.46,11.50). The average falls betw 7.64 and 11.50.

7 0
3 years ago
Help..........................
kogti [31]

Answer:

D

Step-by-step explanation:

I'm not certain but I guess that's it

5 0
2 years ago
Last spring 12 birds ate 8 cups of birdseed in one month. If I am expecting 18 birds this month, how
elena55 [62]

Simplified Ratio:  <u>3 : 2</u>

Birds / Cups

6 / 4

9 / 6

12 / 8

15 / 10

18 / 12

You need 12 cups of birdseed if you're expecting 18 birds this month.

7 0
3 years ago
20 PTS What is the sixth term of the sequence shown in the table? Term Value 1 –46,656 2 7,776 3 –1,296 4 216 5 6 {SEE IMAGE}
olganol [36]

Answer:

a₆ = 6

Step-by-step explanation:

There is a common ratio r between consecutive terms in the sequence, that is

r = \frac{216}{-1296} = \frac{-1296}{7776} = \frac{7776}{-46656} = - \frac{1}{6}

This indicates the sequence is geometric.

To obtain any term in the sequence, multiply the previous term by r, thus

a₅ = 216 × - \frac{1}{6} = - 36

a₆ = - 36 × - \frac{1}{6} = 6

8 0
3 years ago
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