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Likurg_2 [28]
3 years ago
7

I need answer Immediately pls!!!!!!!

Mathematics
2 answers:
Anuta_ua [19.1K]3 years ago
8 0

Answer:

1/14

Step-by-step explanation:

There is only 1 common multiple of 4 and 6 between 1 and 14.

So the probability is:

P = \frac{1}{14}

Rina8888 [55]3 years ago
6 0

Answer:

5/14

Step-by-step explanation:

the multiples of 6 are 6 and 12. the multiples of 4 are 4,8,12(but its the same as 4 so we don't add that one), and 14. Add 2 and 3 and you get 5.

The total is 14 so it ends up being a 5/14 chance.

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Work out the area of abcd.<br><br> please ensure you give workings out too.
ipn [44]

Answer:

\displaystyle A_{\text{Total}}\approx45.0861\approx45.1

Step-by-step explanation:

We can use the trigonometric formula for the area of a triangle:

\displaystyle A=\frac{1}{2}ab\sin(C)

Where a and b are the side lengths, and C is the angle <em>between</em> the two side lengths.

As demonstrated by the line, ABCD is the sum of the areas of two triangles: a right triangle ABD and a scalene triangle CDB.

We will determine the area of each triangle individually and then sum their values.

Right Triangle ABD:

We can use the above area formula if we know the angle between two sides.

Looking at our triangle, we know that ∠ADB is 55 DB is 10.

So, if we can find AD, we can apply the formula.

Notice that AD is the adjacent side to ∠ADB. Also, DB is the hypotenuse.

Since this is a right triangle, we can utilize the trig ratios.

In this case, we will use cosine. Remember that cosine is the ratio of the adjacent side to the hypotenuse.

Therefore:

\displaystyle \cos(55)=\frac{AD}{10}

Solve for AD:

AD=10\cos(55)

Now, we can use the formula. We have:

\displaystyle A=\frac{1}{2}ab\sin(C)

Substituting AD for a, 10 for b, and 55 for C, we get:

\displaystyle A=\frac{1}{2}(10\cos(55))(10)\sin(55)

Simplify. Therefore, the area of the right triangle is:

A=50\cos(55)\sin(55)

We will not evaluate this, as we do not want inaccuracies in our final answer.

Scalene Triangle CDB:

We will use the same tactic as above.

We see that if we can determine CD, we can use our area formula.

First, we can determine ∠C. Since the interior angles sum to 180 in a triangle, this means that:

\begin{aligned}m \angle C+44+38&=180 \\m\angle C+82&=180 \\ m\angle C&=98\end{aligned}

Notice that we know the angle opposite to CD.

And, ∠C is opposite to BD, which measures 10.

Therefore, we can use the Law of Sines to determine CD:

\displaystyle \frac{\sin(A)}{a}=\frac{\sin(B)}{b}

Where A and B are the angles opposite to its respective sides.

So, we can substitute 98 for A, 10 for a, 38 for B, and CD for b. Therefore:

\displaystyle \frac{\sin(98)}{10}=\frac{\sin(38)}{CD}

Solve for CD. Cross-multiply:

CD\sin(98)=10\sin(38)

Divide both sides by sin(98). Hence:

\displaystyle CD=\frac{10\sin(38)}{\sin(98)}

Therefore, we can now use our area formula:

\displaystyle A=\frac{1}{2}ab\sin(C)

We will substitute 10 for a, CD for b, and 44 for C. Hence:

\displaystyle A=\frac{1}{2}(10)(\frac{10\sin(38)}{\sin(98)})\sin(44)

Simplify. So, the area of the scalene triangle is:

\displaystyle A=\frac{50\sin(38)\sin(44)}{\sin(98)}

Therefore, our total area will be given by:

\displaystyle A_{\text{Total}}=50\cos(55)\sin(55)+\frac{50\sin(38)\sin(44)}{\sin(98)}

Approximate. Use a calculator. Thus:

\displaystyle A_{\text{Total}}\approx45.0861\approx45.1

8 0
2 years ago
Alana only has $56.47 saved for college, Brainstorm possible reasons why she has only managed to save this
LUCKY_DIMON [66]

Answer:

She could've spent more than she was making in a pay check

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is slope-intercept form? <br> Why do we write equations using this form?
Brums [2.3K]
Slope intercept form is y=mx+b
m=slope
b=y-intercept

the slope is the rate of change of the graph, basically rise/run (change in y divided by change in x)

the y intercept is where the graph intercepts the y axis





we usually use this form because we can find the slope and find where it hits the y axis.
there are other forms that may be helpful later on, but this one is usually the easiest form to find from a graph
7 0
3 years ago
Which equation is true when n = 4?<br> A<br> 2n = 6<br> Bn+3 = 7<br> 9- n = 13
kari74 [83]

Answer:

The answer is B. n+3=7

Step-by-step explanation:

^^^^^^^

5 0
2 years ago
Read 2 more answers
What is the answer (6-1+7) =
sdas [7]

Answer:

12

Step-by-step explanation:

You do what's in parentheses first, but everything is in parentheses so it's pretty much ineffective. In PEMDAS, addition and subtraction are coupled so you do them left to right. 6-1 is 5 and 5+7 is 12.

4 0
2 years ago
Read 2 more answers
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