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earnstyle [38]
3 years ago
6

2*2

smiddle" class="latex-formula">
​
Mathematics
1 answer:
ankoles [38]3 years ago
7 0

Step-by-step explanation:

\cos(300 \degree)  \\  \\  = \cos(360 \degree - 60\degree)  \\  \\  = \cos( 60\degree) \\  \\  =  \frac{1}{2}  \\  \\  \huge \orange{ \boxed{ \therefore \: \cos(300 \degree)  = \frac{1}{2}  }}

You might be interested in
Please help!
aleksklad [387]

Answer:

23760 pounds

Step-by-step explanation:

396 passengers

60 pounds for each passenger

total pounds plane can carry=passengers × pounds

= 396×60

= 23760 pounds

....

3 0
2 years ago
Given the function graphed below, what is the average rate of change between f(3) and f(7)?
Shkiper50 [21]
Answer: choice D) 20

-------------------------------

Explanation:

Locate 3 on the x axis number line. Draw a vertical line through 3 and this vertical line will cross the parabola at some point P. Mark this point P on the parabola. Then draw a horizontal line from P to the y axis. The horizontal line will land on y = 10. In short, this all shows us that (3,10) is a point on this parabola.

Repeat those steps above, but now for x = 7. You'll see that (7,90) is another point on this parabola.

We need to find the slope of the line through the two points (3,10) and (7,90). The average rate of change from x = 3 to x = 7 is the same as the slope of the line through those two points.

To find the slope, we use the slope formula
m = (y2 - y1)/(x2 - x1)
where (x1,y1) and (x2,y2) are the two points, and m is the slope

In this case,
(x1,y1) = (3,10) and (x2,y2) = (7,90)
further breaking down to
x1=3
y1=10
x2=7
y2=90
So we'll plug those four pieces of info into the equation and simplifying to get...
m = (y2 - y1)/(x2 - x1)
m = (90 - 10)/(7 - 3)
m = 80/4
m = 20

The slope of the line is 20, so therefore, the average rate of change is 20.

6 0
3 years ago
Which of the following represents this function written in intercept form?
rodikova [14]
The answer is 

C. - (x + 3)(x - 4)

because if you solve this....

- (x + 3)(x - 4)
(-x - 3)(x - 4)
-x^2 +4x - 3x + 12

-x^2 + x + 12 
6 0
2 years ago
The​ life, in​ years, of a certain type of electrical switch has an exponential distribution with an average life β=44. If 100 o
Bond [772]

Answer:

0.9999

Step-by-step explanation:

Let X be the random variable that measures the time that a switch will survive.

If X has an exponential distribution with an average life β=44, then the probability that a switch will survive less than n years is given by

\bf P(X

So, the probability that a switch fails in the first year is

\bf P(X

Now we have 100 of these switches installed in different systems, and let Y be the random variable that measures the the probability that exactly k switches will fail in the first year.

Y can be modeled with a binomial distribution where the probability of “success” (failure of a switch) equals 0.0225 and  

\bf P(Y=k)=\binom{100}{k}(0.02247)^k(1-0.02247)^{100-k}

where  

\bf \binom{100}{k} equals combinations of 100 taken k at a time.

The probability that at most 15 fail during the first year is

\bf \sum_{k=0}^{15}\binom{100}{k}(0.02247)^k(1-0.02247)^{100-k}=0.9999

3 0
3 years ago
The horizontal distance of the ramp is 12 ft. And the vertical height of the ramp is 5 ft. Round answers to the nearest whole nu
Elan Coil [88]

Answer:

The length of the ramp is 13 ft according to the Pythagorean theorem but I don't have an idea about the angle incline.. we must trigonometry to find it .

7 0
3 years ago
Read 2 more answers
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