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castortr0y [4]
3 years ago
11

What is the slope of (5,2) and (3,0)

Mathematics
1 answer:
fredd [130]3 years ago
5 0
So you do (y2-y1)/ (x2-x1)

So it would be (0-2)/(3-5) = -2/-2 which is just 1.
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Using the unit circle, determine the value of cos(-150°).
elena-14-01-66 [18.8K]
<h3>Answer:  -\frac{\sqrt{3}}{2}</h3>

Explanation:

The identity we'll use is cos(-x) = cos(x) for any value of x.

So cos(-150) = cos(150).

Then locate the angle 150 on the unit circle. The terminal point is \left(-\frac{\sqrt{3}}{2}, \frac{1}{2}\right)

The x coordinate of this terminal point is the value of cos(150).

5 0
3 years ago
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Before every​ flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the ai
ss7ja [257]

Answer:

The probability that the plane is oveloaded is P=0.9983.

The pilot should take out the baggage and send it in another plain or have less passengers in the plain to not overload.

Step-by-step explanation:

The aircraft will be overloaded if the mean weight of the passengers is greater than 163 lb.

If the plane is full, we have 41 men in the plane. This is our sample size.

The weights of men are normally distributed with a mean of 180.5 lb and a standard deviation of 38.2.

So the mean of the sample is 180.5 lb (equal to the population mean).

The standard deviation is:

\sigma=\frac{\sigma}{\sqrt{N}} =\frac{38.2}{\sqrt{41}}=\frac{38.2}{6.4} =5.97

Then, we can calculate the z value for x=163 lb.

z=\frac{x-\mu}{\sigma}=\frac{163-180.5}{5.97}=\frac{-17.5}{5.97}=   -2.93

The probability that the mean weight of the men in the airplane is below 163 lb is P=0.0017

P(\bar X

Then the probability that the plane is oveloaded is P=0.9983:

P(overloaded)=1-P(X

The pilot should take out the baggage or have less passengers in the plain to not overload.

7 0
3 years ago
Find the profit % if selling price is Rs 130 and profit is Rs5​
Ad libitum [116K]

Answer:

3.85 % to 2 decimal places

Step-by-step explanation:

If you have Rs5 profit it means that you have sold it for 135

Do 5 / 130

Then times the answer by 100 *100

7 0
3 years ago
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Suppose y varies directly with x when x is 4, y is 32. What is y when x is -2
omeli [17]

Step-by-step explanation:

Since y varies directly with x,

y = kx, where k is a real constant.

When x = 4, y = 32.

=> (32) = (4)k, k = 8.

Therefore when x = -2,

y = kx = (8)(-2) = -16.

3 0
3 years ago
Which algebraic expression is equivalent to
poizon [28]
Hey there :)

( 2x⁵ - 3x⁴ + x² + 5x + 7 ) - ( - 4x⁵ - x⁴ - 3x² - 5x + 2 )

Let us combine like-terms
2x⁵ - ( - 4x⁵ ) - 3x⁴ - ( - x⁴ ) + x² - ( - 3x² ) + 5x - ( - 5x ) + 7 - 2

Minus and minus becomes plus
2x⁵ + 4x⁵ - 3x⁴ + x⁴ + x² + 3x² + 5x + 5x + 7 -2

6x⁵ - 2x⁴ + 4x² + 10x + 5

Your answer will be option A) 6x⁵ - 2x⁴ + 4x² + 10x + 5
8 0
3 years ago
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