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Karolina [17]
4 years ago
12

Find the exact value. Sec^2(11pi/6)

Mathematics
1 answer:
irina [24]4 years ago
4 0
1 + tan^2(11pi/6)
1 + tan^2(2pi - pi/6)
1 + tan(2pi - pi/6)*tan(2pi - pi/6)

tan(2pi) = 0
tan(pi/6) = 1/sqrt(3)

Compund angle rule:

1 + sqrt(3)/3 * sqrt(3)/3
1 + 1/3
4/3
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Height
dem82 [27]

Answer:

<h3>1 secs</h3>

Step-by-step explanation:

Given the height of the discus can be modeled by the equation y=−16x ^2 +32x+4, where y represents the  height in feet of the discus in seconds, the velocity of the discus at its maximum height is zero.

Velocity v = dy/dx = 0

dy/dx = -32x + 32

0 = -32x + 32

32x = 32

x = 1 secs

Hence it will take the discus 1 secs to reach its maximum height

8 0
3 years ago
If 4/3divided by 1/6 then the value of p is between which of the following pairs of numbers
Lerok [7]

Answer:

7 and 9

Step-by-step explanation:

4/3÷1/6 = 4/3 × 6/1

= 8

So the value of p falls between the range of 7 and 9

3 0
3 years ago
In its Fuel Economy Guide for 2016 model vehicles, the Environmental Protection Agency gives data on 1170 vehicles. There are a
Nady [450]

Answer:

a. 19.68 miles per gallon.

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Step-by-step explanation:

Mean gas mileage (μ) = 23.0 mpg

Standard deviation (σ) = 4.9 mpg

In a normal distribution, for any length X, the z-score is determined by the following expression:

 z=\frac{X-\mu}{\sigma}

In a normal distribution, the 25th percentile  (first quartile) of a normal distribution has a corresponding z-score of z = -0.677 and the 75th percentile  has a corresponding z-score of z = 0.677

a. The first quartile of the distribution of gas mileage is

-0.677=\frac{X_{25}-23}{4.9}\\X_{25}=19.68\ mpg

19.68 miles per gallon.

b. The third quartile of the distribution of gas mileage is

0.677=\frac{X_{25}-23}{4.9}\\X_{25}=26.32\ mpg

26.32 miles per gallon.

5 0
3 years ago
Let f(x) = x^2 and g(x) = x - 5 Find (f o g)(-2)
irina1246 [14]

Answer:

Solution,\\f(x) = x^{2}\\g(x) = x-5\\Now, \\fog(x) = f[g(x)] = f(x-5) = (x-5)^{2} \\Put~x=-2,\\fog(-2) = (-2-5)^{2} = (-7)^{2} = 49

5 0
3 years ago
I really need help with this <br><br> Can someone help me thx<br><br><br> Plsssssss
Leni [432]

Answer:

Do you think you can zoom into the pic?

Step-by-step explanation:

3 0
4 years ago
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