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nexus9112 [7]
3 years ago
7

NEED HELP ASAP

Mathematics
2 answers:
balu736 [363]3 years ago
5 0

Answer:

1) B. and 2) D.

Step-by-step explanation:

The compass would connect the two || lines for an equal amount of time. Though if I am wrong feel free to let me know.

If the compass is placed on the original line point, then is will be the exact same spot and angle for the other line. They should met and form a right angle .

ivann1987 [24]3 years ago
4 0

Answer:

I believe the answer is B, and the other answer is D.

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Given ΔABC, m∠A = 60°, b = 9 and c = 6. Find m∠B. Round to the nearest whole degree
VladimirAG [237]
The problem above uses a combination of sine and cosine law of triangle to solve for the m∠B. 

Given:
<span>m∠A = 60°, b = 9 and c = 6

Cosine Law:
a^2=b^2+c^2-2bccosA
a^2=(9)^2+(6)^2-2(9)(6)cos(60)
a^2=81+36-54
a^2= 63
a=</span>\sqrt{63}

Sine Law
\frac{sin(A)}{a} = \frac{sin (B)}{9}
sin B= 9/ \sqrt{63} sin 60
sin B= 0.98198
B= sin ^-1 (0.98198) = 79.10

Therefore, m∠B is equal to 79.10
7 0
3 years ago
Can somebody please help m eits 9th grade math im so confused !
prisoha [69]

Answer:

Option 3: (5, 1)

Step-by-step explanation:

There are several ways of solving for systems of linear equations, either through graphing, substitution, or elimination.  

The graphing method is the easiest, as you only need to plot points on the graph using the y-intercepts and the slopes.  

I will be demonstrating the <u>graphing method</u>.  

Given the systems of linear equations:  

Equation 1:  y = x - 4

where the <u>slope</u>, <em>m</em> = 1, and <u>y-intercept </u>(0, -4).

Equation2: y = -x + 6

where the <u>slope</u>, <em>m </em>= -1, and <u>y-intercept</u> (0, 6).

The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates of (0, b).

<h3>Graphing Instructions:</h3>

For Equation 1, plot the y-intercept, (0, -4) on the graph. Then use the <u>slope</u>, m = 1 (rise 1 unit, run 1 unit) to plot other points on the graph. Repeat this process until you have enough points to connect a line with.  

Repeat these same procedures for graphing Equation 2, start by plotting its y-intercept at (0, 6), and its slope, m = -1 (down 1 unit, run 1 unit).

<h3>Solution: </h3>

The intersection of both lines occurs at point, (5, 1), which is solution to the given systems of linear equations.  Therefore, the correct answer is the third option, (5, 1).

Attached is the screenshot of the graphed systems of linear equations, where it shows the point of intersection at (5, 1).  

5 0
3 years ago
Sue has 18 CDs and 30 DVDs. He wants to place them onto the greatest number of shelves so that each shelf has the same number of
frez [133]
Cds 3 dvds 5

Sue will use 6 shelves with 3 cds on each and 5 dvds on each.
8 0
4 years ago
A=25,b=12,c=4,d=4: a +(b+c).d
stellarik [79]
B+c is 16
16 + 25 Is 41
I don't know d sorry
3 0
4 years ago
Read 2 more answers
Suppose that the thickness of one typical page of a book printed by a certain publisher is a random variable with mean 0.1 mm an
marusya05 [52]

Answer:

The probability that the thicknesses at the entire book will be between 49.9 mm and 50.1 mm is 0.97.

Step-by-step explanation:

The complete question is:

Suppose that the thickness of one typical page of a book printed by a certain publisher is a random variable with mean 0.1 mm and a standard deviation of 0.002 mm Anew book will be printed on 500 sheets of this paper. Approximate the probability that the thicknesses at the entire book (excluding the cover pages) will be between 49.9 mm and 50.1 mm. Note: total thickness of the book is the sum of the individual thicknesses of the pages Do not round your numbers until rounding up to two. Round your final answer to the nearest hundredth, or two digits after decimal point.

Solution:

According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and we take appropriately huge random samples (n ≥ 30) from the population with replacement, then the distribution of the sum of values of X, i.e S, will be approximately normally distributed.  

Then, the mean of the distribution of the sum of values of X is given by,  

 \mu_{S}=n\mu

And the standard deviation of the distribution of the sum of values of X is given by,  

\sigma_{S}=\sqrt{n}\sigma

The information provided is:

n=500\\\mu=0.1\\\sigma=0.002

As <em>n</em> = 500 > 30, the central limit theorem can be used to approximate the total thickness of the book.

So, the total thickness of the book (S) will follow N (50, 0.045²).

Compute the probability that the thicknesses at the entire book will be between 49.9 mm and 50.1 mm as follows:

P(49.9

                               =P(-2.22

Thus, the probability that the thicknesses at the entire book will be between 49.9 mm and 50.1 mm is 0.97.

6 0
3 years ago
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