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butalik [34]
3 years ago
6

Find the value of x (chords and arcs)

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
4 0
Diameter = 20 so radius = 10 = hypotenuse
x^2 = 10^2 - 8^2
x^2 = 100 - 64
x^2 = 36
x = 6

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18 – 12 + x = 10 What value of x makes the equation true? * explanation plz
Kay [80]

Answer:

x = 4

Step-by-step explanation:

Solve for x:

x - 12 + 18 = 10

Hint: | Group like terms in x - 12 + 18.

Grouping like terms, x - 12 + 18 = x + (18 - 12):

x + (18 - 12) = 10

Hint: | Evaluate 18 - 12.

18 - 12 = 6:

x + 6 = 10

Hint: | Isolate terms with x to the left hand side.

Subtract 6 from both sides:

x + (6 - 6) = 10 - 6

Hint: | Look for the difference of two identical terms.

6 - 6 = 0:

x = 10 - 6

Hint: | Evaluate 10 - 6.

10 - 6 = 4:

Answer: x = 4

7 0
2 years ago
Read 2 more answers
A researcher drilled a hole in a die and filled it with a lead​ weight, then proceeded to roll it 209 times. The observed freque
ddd [48]

Answer:

Step-by-step explanation:

Given that the observed frequencies for the outcomes as follows:

To check this we can use chi square goodness of fit test.

H_0: equally likely\\H_a: not equally likely

(Two tailed test at 5% significance level)

Assuming equally likely expected observations are found out and then chi square is calculated as (0-E)^2/E

Df = 6-1 =5

Outcome Frequency Expected frequency (Obs-exp)^2/Exp

   

1 36 34.83333333 0.03907496

2 30 34.83333333 0.670653907

3 41 34.83333333 1.091706539

4 40 34.83333333 0.766347687

5 23 34.83333333 4.019936204

6 39 34.83333333 0.498405104

   

209 209          7.086124402

p value =0.214

Since p >alpha, we accept null hypothesis

It appears that the  loaded die does not behave differently than a fair​ die at 5% level of significance

5 0
3 years ago
Which system of equations is represented by the matrix below? 1 5 11 4 -6-3 A. y + 5x = 11 4y - 6x = -3 B. X+ 5y = 11 4x - 6y =
Vitek1552 [10]

Answer: Choice B

x+5y = 11\\4x-6y = -3

=====================================

Explanation:

The given matrix is

\left[\begin{array}{cc|c}1&5&11\\4&-6&-3\end{array}\right]

The numbers to the right of the vertical bar represent the values on the right hand side of each equation in the final answer.

The numbers to the left of the bar represent the x and y coefficients of the equations. The first number of any given row is the x coefficient. The second number is the y coefficient.

For instance, the first row has \begin{array}{cc}1&5\end{array} to indicate the x coefficient is 1, and the y coefficient is 5. We end up with 1x+5y or simply x+5y. Putting everything together, the first equation would be x+5y = 11

Through similar steps, the second equation is  4x-6y = -3

3 0
3 years ago
PLEASE HELP MATH QUESTION PIC BELOW
Vinil7 [7]

Answer:

∠MNP is your answer

Step-by-step explanation:

Note the angle and the order it is said. It is ∠ABC, which means the double line side, one curve line angle, and then triple line side.

Now look at the second triangle, the same double line side (NM), one curve line angle (∠N), and triple line side (NP)

Put them together: ∠MNP is your answer

~

3 0
3 years ago
What is the length x of the right triangle, rounded to the nearest<br> tenth?
Zarrin [17]

Answer:

109.5; B

Step-by-step explanation:

From your identity,

CosA = adjacent/ hypothenus

A represent an arbitrary angle between the sides in question.

In the question above, A=64

Hypothenus is the longest side and adjacent is the side just below the angle .

In the above case,

Hypothenus= X

adjacent =48

This means;

Cos64 = 48 /X

X = 48 / cos64; [ from cross multiplication and diving through by cos64]

X = 48 /0.4383 [ cos64 in radian = 0.4383]

= 109.51

= 109.5 to the nearest tenth.

Note( do your calculation of angle in radian or else, you won't get the answer)

6 0
2 years ago
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