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3 years ago

Plzz help find value of following : 2sin75°.cos15°

Mathematics

1 answer:

polet [3.4K]3 years ago

6 0

Answer:

$\frac{2+\sqrt{3} }{2}$

Step-by-step explanation:

Using the product to sum formula

sinxcosy = $\frac{1}{2}$ [ sin(x + y) + sin(x - y) ] , then

2sinxcosy = sin(x + y) + sin(x - y)

Given

2sin75°cos15° ← with x = 75 and y = 15 , then

= sin(75 + 15) + sin(75 - 15)

= sin90° + sin60°

= 1 + $\frac{\sqrt{3} }{2}$

= $\frac{2+\sqrt{3} }{2}$

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The answer to the question provided is $\frac{6}{7}$ .

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Tamora just made the last of her monthly payments on her loan. She had been making these payments for the past nine years. The l

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Answer : $3403.53

Detailed Solution:
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3 years ago

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Solnce55 [7]

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2 years ago

Y = 2x x + y = −6 the answer should be like this (x,y) or ( , )

melisa1 [442]

Answer:

(-2, -4)

Step-by-step explanation:

Given:

The system of equations to solve is given as:

$y=2x\\\\x+y=-6$

In order to solve this system of linear equations, we use substitution method.

In substitution method, we substitute the value of any one variable in the other equation.

So, we substitute the value of 'y' from first equation in the second equation.

This gives,

$x+2x=-6\\\\3x=-6$

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6 0

3 years ago

The length of a rectangular driveway is five feet more than three times the width. The area is 350ft2. Find the width and length

crimeas [40]

Answer:

width -- 10 ft
length -- 35 ft

Step-by-step explanation:

We can let x represent the width. Then the length will be represented by (3x+5), a value 5 more than 3 times the width.

The area is the product of length and width, so is ...

A = (3x +5)(x) = 3x^2 +5x

To make the area 350, we can find the value of x from ...

3x^2 +5x = 350

This can be solved a number of ways. One of them is "completing the square".

3(x^2 +5/3x) = 350

We choose to divide by 3 and add the square of half the x-coefficient.

x^2 +5/3x +(5/6)^2 = (350/3) + (5/6)^2

(x +5/6)^2 = 4225/36 . . . . simplify

x +5/6 = ±√(4225/36) = ±10 5/6 . . . . take the square root

x = 10 or -11 2/3 . . . . subtract 5/6

The positive solution is the one of interest: x = 10.

The driveway is 10 ft wide and 35 ft long.

4 0

3 years ago

Plzz help find value of following : 2sin75°.cos15°​

Plzz help find value of following : 2sin75°.cos15°