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Reptile [31]
3 years ago
8

Trigonometry please help! work need to be shown

Mathematics
1 answer:
Tpy6a [65]3 years ago
3 0

Given:

The figure of a right angle triangle.

To find:

The value of x to the nearest hundredth.

Solution:

In a right angle triangle,

\cos \theta=\dfrac{Base}{Hypotenuse}

Using the above trigonometric ratio for the given triangle, we get

\cos 46^\circ=\dfrac{x}{8}

0.6947=\dfrac{x}{8}

0.6947\times 8=x

5.5576=x

Approximate the value to the nearest hundredth.

x\approx 5.56

Therefore, the value of x is 5.56 units.

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Solve the equation for 5x^2-4x=6
Andrei [34K]

Answer:

x = (4 + 2√34)/10, x = (4 - 2√34)/10

Step-by-step explanation:

5x² - 4x = 6

Subtract: 5x² - 4x - 6 = 0

Quadratic formula: x = (4 ± √(16 - 4*5*(-6)))/10

Multiply: x = (4 ± √(16 + 120))/10

Simplify: x = (4 ± 2√34)/10

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The length of a rectangle 4 yd is longer than its width. If the perimeter of the rectangle is 68 yd, find its length and width.
natulia [17]

w + 4

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

l l

l l w

l l

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

Perimeter would be the sum of all the sides so: (w+4) + w + (w+4) + w

Perimeter is 60 yards according to your problem so: (w+4) + w + (w+4) + w = 60 yds

1.Simplify/combine like terms:

w + 4 + w + w + 4 + w =

4w + 8 =

Now it's a 2-step algebra equation

4w + 8 = 60

2.Subtract 8 on both sides

4w = 56

3.Divide both sides by 4

w = 14

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2 years ago
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Write the first five terms of a geometric sequence in which the sixth term is 64.
azamat

Answer:

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2nd term : 4

3rd term: 8

4th term : 16

5th term : 32

Step-by-step explanation:

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