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Aleksandr [31]
2 years ago
10

Find the tangent of angle Θ in the triangle below.

Mathematics
1 answer:
Rina8888 [55]2 years ago
4 0

Answer: \frac{\sqrt{65}}{4}

Step-by-step explanation:

By the Pythagorean theorem, the unknown side has length

\sqrt{9^{2}-4^{2}}=\sqrt{65}

Therefore,

\tan \theta=\boxed{\frac{\sqrt{65}}{4}}

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Information about the proportion of a sample that agrees with a certain statement is given below. Use StatKey or other technolog
nydimaria [60]

Answer:

Answer is given below.

Step-by-step explanation:

Number of people, n = 400

Number of people who agree with the statement is 112.

Number of people who disagree with the statement is 288

Using Stat Key, follow the steps below to obtain the 95% confidence interval for the

proportion of the population to agree with the statement.

1) Open  

2) Click on CI for single proportion.

3) Click Edit data key.

4) Enter 112 in count text box.

5) Enter 400 in Sample size text box.

6) Click two-tail.

7) Click Generate 1000 samples key.

Output:  (See Image).

Original Sample

Count   SampleSize    Proportion

112       400       0.280

Bootstrap Sample

Count SampleSize Proportion

128    400        0.320

From the above dot plot , it can be observed that the standard error shows top right corner.

Thus the standard error is 0.022.

From the output, the 95% confidence interval is 0.2371 to 0.325  

4 0
3 years ago
Solve each equation.<br><br> 1. 13a=−5
mafiozo [28]

Answer:

a = -5/13

Step-by-step explanation:

13a = -5

a = -5/13

hope this helps, pls mark brainliest :D

5 0
3 years ago
Which first step for solving the given system using substitution results in an equation without fractions? Solve for x in the fi
lianna [129]

Answer:

solve for x in the second equation is correct

Step-by-step explanation:

Here is the complete question

Which first step for solving the given system using substitution results in an equation without fractions?

(2x+6y=7

(6x + 18y = 24.... 2

Solve for x in the first equation,

Solve for y in the first equation,

Solve for x in the second equation

The best equation to she will be equation 2 since all the coefficients are end numbers

Let us make x t subject f the formula from equation 2;

From 2: 6x+18y = 24

Subtract 18y from both sides

6x+18y-18y = 24-18y

6x = 24-18y

Divide through by 6

6x/6 = 24/6 - 18y/6

x = 4-3y.

You can see that the resulting expression of x is not a fraction. Hence solve for x in the second equation is correct

5 0
3 years ago
Read 2 more answers
If one tablet contains 10.5 mg of calcium. how much does a bottle of 20 tablets contain of calcium?
alexandr1967 [171]
You multiply 10.5 by 20 and get 210, that is your answer.
5 0
3 years ago
Read 2 more answers
Helpp pls (39points)<br> Can you answer this Q???
scoundrel [369]

Answer:

Your question but don't know how to solve it like a dog

8 0
3 years ago
Read 2 more answers
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