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Len [333]
3 years ago
12

How do you prove #sin 5pi/12 = sin pi/6 cos pi/4 + cos pi/6 sin pi/4#?

Mathematics
1 answer:
choli [55]3 years ago
6 0
You rewrite 5π/12 as  2π/12 + 3π/12 since 2 + 3 = 5.
Then you simplify the fractions into π/6 + π/4.
Then you use the sine addition identity.

sin(5π/12) = sin(π/6 + π/4) = sin <span>π/6 cos </span><span>π/4 + cos </span><span>π/6 sin </span><span>π/4</span>
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If you have a picture of the problem I can answer it so just send a pic of the math problem
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3 years ago
Plutonium–238 has a yearly decay constant of 7.9 × 10-3. If an original sample has a mass of 15 grams, how long will it take to
eduard
The answer is 28 years

At = A0 * e^(-k * t)
At = 12 g
A0 = 15 g
k = 7.9 × 10^-3 = 0.0079 
t = ?

12 = 15 * e^(-0.0079 * t)
12/15 = e^(-0.0079 * t)
0.8 = e^(-0.0079 * t)

Logarithm both sides (because ln(e) = 1:
ln(0.8) = ln(e^(-0.0079 * t))
ln(0.8) = (-0.0079 * t) * ln(e)
-0.223 = -0.0079 * t
t = -0.223 / -0.0079
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8 0
3 years ago
I NEED HELP ASAP PLEASE
11Alexandr11 [23.1K]
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8 0
2 years ago
What would be the measure of angle J?
horsena [70]

Answer:

5q I would say

Step-by-step explanation:

As

3

x

−

q

=

5

q

, adding

=

q

on both sides, we get

3

x

−

q

+

q

=

5

q

+

q

or

3

x

=

6

q

, now multiplying both sides by

1

3

, we get

3

x

×

1

3

=

2

6

q

×

1

3

or

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=

2

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4 0
3 years ago
What is the value of 4 x minus 7 when x = 4?
Stolb23 [73]

Answer: 9

Step-by-step explanation: Here, we have the expression <em>4x - 7</em> and we want to evaluate the expression when <em>x</em> is equal to 4.

To evaluate an expression, we simply plug the value

of the variable into the expression and solve.

So here, since <em>x</em> is equal to 4, we have 4(4) - 7.

4(4) is equal to 16.

So we have 16 - 7 which is equal to 9.

So the value of our expression when <em>x</em> is equal to 4 is 9.

6 0
3 years ago
Read 2 more answers
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