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3 years ago

I need this now plis

Mathematics

1 answer:

Scrat [10]3 years ago

4 0

40% is the answer. It's okay to ask for help but if you can't even spell then you need to start studying more often.

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The diagram below shows twelve 30-60-90 triangles placed in a circle so that the hypotenuse of each triangle coincides with the

julia-pushkina [17]

Answer:

m+n = 337

Step-by-step explanation:

Lets start from the first triangle, It is given to be as 30-60-90.

The hypotenous of first rectangle be 2x, then other sides are by default x and

$\sqrt{3}(x)$ , using laws of trigonometry.

(sin(30) = 0.5 and cos(30) = $\frac{\sqrt{3}}{2}$ )

The perimeter of first triangle is ,

= $2x + x + \sqrt{3}(x) = x(3+\sqrt{3}) = \sqrt{3}x(1+\sqrt{3})$

Now, for second triangle, the longer leg is 2x, and similarly again,

other 2 sides are $\frac{2x}{\sqrt{3}} and \frac{4x}{\sqrt{3}}$ .

Again the perimeter of triangle comes out as,

= $\sqrt{3}(x)(1+\sqrt{3})(\frac{2}{\sqrt{3}})$

Thus, the repeating pattern is identified. The consecutive perimeters differ by, multiplying by factor $\frac{2}{\sqrt{3}}$

Thus, we can say that perimeter of 4th triangle is,

= $(\frac{2}{\sqrt{3}})^{3}(X)$ , where X is the repeating constant.

And of 12th triangle is,

= $(\frac{2}{\sqrt{3}})^{11}(X)$ ,

Evaluating the above ratio, we get,

= $\frac{81}{256}$

Thus, m =256 and n=81.

Thus, m+n = 256+81 = 337.

6 0

3 years ago

Find the area. Simplify your answer.

Shalnov [3]

9514 1404 393

Answer:

x^2 +8x +12

Step-by-step explanation:

The area is the product of length and width. The product can be simplified using the distributive property.

A = LW

A = (x +6)(x +2) = x(x +2) +6(x +2)

A = x^2 +2x +6x +12

A = x^2 +8x +12

6 0

3 years ago

Read 2 more answers

Can someone help me find letter b.

galina1969 [7]

I think that each time, the numbers are being added by 6.

-15,-9,-3,3,9

I'm pretty sure that this should be the correct answer

3 0

3 years ago

Select the two pairs of figures that are similar.

CaHeK987 [17]

Answer:

The left one and middle one

Step-by-step explanation:

same angles and length-width ratios

7 0

3 years ago

For 300 trading days, the daily closing price of a stock (in $) is well modeled by a Normal model with mean $196.99 and stand

KATRIN_1 [288]

Answer:

a) 2.5% b) 84% c) 95% d) D. The more unusual day is if the stock closed below $185 because it has the largest absolute z-score.

Step-by-step explanation:

For a) b) and c) we will use the empirical rule, so, we can observe the image shown below

a) 211.23 is exactly two standard deviation above the mean, so, the probability that on a randomly selected day in this period the stock price closed above 211.23 is 2.35% + 0.15% = 2.5%

b) 204.11 represents exactly one standard deviation above the mean, so, the probability of being below 204.11 is 50% + 34% = 84%

c) The probability of getting a value between 182.75 and 211.23 is 95%, this because 182.75 is exactly two standard deviations below the mean and 211.23 is exactly two standard deviations above the mean.

d) The z-score related to 208 is $z_{1}$ = (208-196.99)/7.12 = 1.5 and the z-score related to 185 is $z_{2}$ = (185-196.99)/7.12 = -1.7, therefore, the more unusual day is if the stock closed below $185 because it has the largest absolute z-score.

5 0

3 years ago