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Ratling [72]
2 years ago
11

(cos2a *cos 4a+ sin 2a*sin 4a)/sin4a

Mathematics
1 answer:
lyudmila [28]2 years ago
4 0

Answer:

Step-by-step explanation:

(cos 4a*cos 2a+sin 4a*sin 2a)/sin 4a

=[cos (4a-2a)]/sin 4a

=(cos 2a)/sin 4a

=(cos 2a) /(2 sin 2a cos 2a)

=1/(2 sin 2a)

=1/2 csc 2a

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ANSWER FOR BRAINLEST
ra1l [238]

Answer:

20π or 62.8

Step-by-step explanation:

Volume of a cone = 1/3πr²h

1/3(π)(2)²9

= 12π or 37.7

Volume of a hemisphere = 2πr²/3

2(π)(2)²

= 8π or 25.1

Total Volume = 20π or 62.8

6 0
3 years ago
Find the complement of the angle shown
Archy [21]
Supplementary = 180°
Complementary = 90°

180° - 52° = 128°
90° - 52° = 38°

Hope this Helps!!
6 0
3 years ago
X2 + 4x - 21 = 0 quadratic formula
Elena-2011 [213]

Answer:

0

Step-by-step explanation:

x2 +4x-21=0. solve for x

x =  \frac{7}{2}

x = 3 \frac{1}{2}  \ x = 3.5

6 0
3 years ago
I have 10 goats, n of which are male. I need to choose 2 of them to make a casserole.
snow_tiger [21]

Answer: There are 4 male goats.

Step-by-step explanation:

We know that n of the 10 goats are male.

The probability that in a random selection, the selected goat is a male, is equal to the quotient between the number of male goats (n) and the total number of goats (10)

The probability is;

p = n/10

Now the total number of goats is 9, and the number of male goats is n -1

then the probability of selecting a male goat again is:

q = (n-1)/9

The joint probability (the probability that the two selected goats are male) is equal to the product of the individual probabilities, this is

P = p*q = (n/10)*((n-1)/9)

And we know that this probability is equal to 2/15

Then we have:

(n/10)*((n-1)/9) = 2/15

(n*(n-1))/90 = 2/15

n*(n-1) = 90*2/15 = 12

n^2 - n = 12

n^2 - n - 12  = 0

This is a quadratic equation, we can find the solutions if we use Bhaskara's formula:

For an equation:

a*x^2  + b*x + c =  0

The two solutions are given by:

x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}

For our case, the solutions will be:

n = \frac{1 +- \sqrt{(-1)^2 - 4*1*(-12)} }{2*1 } = \frac{1+- 7}{2}

The two solutions are:

n = (1 - 7)/2 = -3    (this solution does not make sense, we can not have a negative number of goats)

The other solution is:

n = (1 + 7)/2 = 4

This solution does make sense, this means that we have 4 male goats.

5 0
2 years ago
What is the answer for this please help
Mazyrski [523]

Answer:

graph attached

Step-by-step explanation:

4 0
2 years ago
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