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Kitty [74]
3 years ago
9

Jika sin x = p, dengan x tumpul, maka cos(x + 60) =​

Mathematics
1 answer:
Novay_Z [31]3 years ago
5 0

Menjawab:

[(√1-p²) -3√p] / 2

Penjelasan langkah demi langkah:

Dari identitas trigonometri, pemuaiannya benar:

Cos (A + B) = cosAcosB-sinAsinB

Menerapkan ini dalam memperluas cos (x + 60).

cos (x + 60) = cosxcos60 - sinxsin60

Jika sinx = p = berlawanan / sisi miring

opp = p, hyp = 1

adj² = 1²-p²

adj = √1-p²

Cos (x) = adj / hyp = √1-p² / 1

Cos (x) = √1-p²

Cos60 = 1/2 dan sin60 = √3 / 2

Mengganti nilai-nilai ini ke dalam rumus

cos (x + 60) = cosxcos60 - sinxsin60

cos (x + 60) = √1-p² (1/2) - p (√3 / 2)

cos (x + 60) = (√1-p²) / 2 - √3p / 2

Temukan KPK tersebut

cos (x + 60) = [(√1-p²) -3√p] / 2

Oleh karena itu cos (x + 60) = [(√1-p²) -3√p] / 2

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tino4ka555 [31]

Answer:

6 swimmers in the first heat can be arranged in 1716 different ways.

Step-by-step explanation:

A swim meet has 13 contestants signed up. To calculate the arrangement of first 6 swimmers in first heat we will use combinations because order doesn't matter.

So to select 6 swimmers out of 13 contestants number of different ways

= ^{13}C_{6}

= \frac{13!}{(6!)(13-6)!}

= \frac{13\times 12\times 11\times 10\times 9\times 8\times 7!}{6!\times 7!}

= \frac{13\times 12\times 11\times 10\times 9\times 8}{6\times 5\times 4\times 3\times 2\times 1}

= \frac{1235520}{720}

= 1716

Therefore, 6 swimmers in the first heat can be arranged in 1716 different ways.

5 0
3 years ago
X^2+43xy+590y^2 resolve into factors​
Natalija [7]

Step-by-step explanation:

We have:

x - y = 43 , xy = 15

To find, the value of x^2+y^2x

2

+y

2

= ?

∴ x - y = 43

Squaring both sides, we get

(x - y)^2(x−y)

2

= 43^243

2

⇒ x^2+y^2x

2

+y

2

- 2xy = 1849

Using the algebraic identity,

(a - b)^2(a−b)

2

= a^2+b^2a

2

+b

2

- 2ab

⇒ x^2+y^2x

2

+y

2

= 1849 + 2xy

Put xy = 15, we get

x^2+y^2x

2

+y

2

= 1849 + 2(15)

⇒ x^2+y^2x

2

+y

2

= 1849 + 30

⇒ x^2+y^2x

2

+y

2

= 1879

∴ x^2+y^2x

2

+y

2

= 1879

I will send hint follow this hint then slove it .

thankyou

7 0
3 years ago
Divide the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending power
balandron [24]
By synthetic division, the quotient (4x^2 -10x -24)/(2x +3) is 2x -8.

___
You have not actually said what division you want performed.

4 0
3 years ago
Read 2 more answers
A rectangle or field is 62 m long and 48 m wide Diana estimate the length of the field to be 60 m and the ways to be 45 m what i
Ostrovityanka [42]

Answer:

To make estimates, we usually round the numbers the nearest integer.

Since 1.9 is closest to 2 than it is to 1, the nearest integer of 1.9 is 2.

Similarly, since 4.4 is closest to 4 than it is to 5, the nearest integer of 4.4 is 4.

Now, to estimate the area of the farm, we are going to multiply our two integers:

Estimated Area of the Farm= x

Since 8 is between 4 and 10, we can conclude that the best estimate of the area of the farm is: between 4 and 10

Step-by-step explanation:

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3 years ago
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.5 parts
Hunter-Best [27]

Answer:

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Step-by-step explanation:

Our test statistic is:

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In which X is the sample mean, \mu is the expected value, \sigma is the standard deviation and n is the size of the sample.

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This means that X = 7.8, \sigma = 0.7, n = 24

Test Statistic:

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

t = \frac{7.8 - 7.5}{\frac{0.7}{\sqrt{24}}}

t = 2.1

The value of the test statistic is t = 2.1

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3 years ago
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