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kupik [55]
3 years ago
7

HOMEWORK HELP!

Mathematics
1 answer:
lisov135 [29]3 years ago
4 0

Answer:

67.5sin12(x - 7.5) + 67.5

= 67.5[sin 12(x - 7.5) + 1]

= 67.5[sin(12x - 90) + 1]

= 67.5[ sin(12x)cos90 - cos(12x)sin90 + 1]

= 67.5[ -cos12x + 1]

= 67.5 - 67.5cos12x

Step-by-step explanation:

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Find the values of x and y.
vova2212 [387]

Look at the picture.

We have the equation (1) 12x + 4y = 40.

We know, the sum of the acute angles in a right triangle is 90°.

Therefore we have the equation (2) (12x + 4y) + (17x - y) = 90

Substitute (1) to (2):

40 + 17x - y = 90        <em>subtract 40 from both sides</em>

17x - y = 50   (3)

We have the system of equations:

\left\{\begin{array}{ccc}12x + 4y = 40&|:4\\17x-y=50\end{array}\right\\\underline{+\left\{\begin{array}{ccc}3x + y = 10\\17x-y=50\end{array}\right}\ \text{add both side of equations}\\.\qquad20x=60\qquad|:20\\.\qquad x=3

Substitute the value of x to (3)

17(3)-y=50\\51-y=50\qquad|-51\\-y=-1\to y=1

Answer: x = 3 and y = 1.

4 0
3 years ago
O perimetro de uma praça é 320 m. Qual o valor do seu diâmetro
never [62]

Answer:

A área de um quadrado cujo perímetro é de 320 m é 6400 m2

Step-by-step explanation:

4 0
3 years ago
Is it possible for two numbers to have a difference of 6 and also sum of 6
Snowcat [4.5K]

Definitely.

But the two numbers have to be 6 and zero.

3 0
3 years ago
Need help on this question 36
frosja888 [35]
For the bottom, to find the top side of the triangle, 10-4, as seen from the top and bottom sides of the rectangle. So 6.

To find  the left side of triangle, subtract 12 from 8. 12 from the left and 8 from the rectangle. This gives you 4.

Now that we have 6 and 4, we can find the area:

A= ab/2

A= (6*4)/2

A=24/2

A=12 mm^2
5 0
3 years ago
The Director of Admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall sem
VMariaS [17]

Answer:

Variance = 24900

Standard Deviation = 157.7973        

Step-by-step explanation:

We are given the following in the question:

Number of admissions:    1000     1200    1500

Admissions Probability:     0.6        0.3       0.1

Formula:

E(x) = \displaystyle\sum x_iP(x_i)\\E(x) = 1000(0.6) + 1200(0.3) + 1500(0.1)\\E(x) = 1110\\E(x^2) =  \displaystyle\sum x_i^2P(x_i)\\E(x^2) = (1000)^2(0.6) + (1200)^2(0.3) + (1500)^2(0.1)\\E(x^2) = 1257000

Variance =

\sigma^2 = E(x^2) - (E(x))^2\\\sigma^2 = 1257000 -(1110)^2\\\sigma^2 =24900

Thus, the variance is 24900.

Standard Deviation =

\sigma = \sqrt{\sigma^2} = \sqrt{24900} = 157.7973

Thus, the standard deviation is 157.7973

7 0
3 years ago
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