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Ainat [17]
4 years ago
9

3/4 is added to x, the result is 9/8 . What is the value of x? Enter your answer in the box as a fraction in simplest form. Plea

se explain your answer, I want to know how you got it.
Mathematics
1 answer:
pentagon [3]4 years ago
4 0
⓵ Write down your complete equation:

x + ¾ = 9/8

⓶ Solve the equation in order to find the value of “x”:

x + ¾ = 9/8
- ¾ - ¾

x = 9/8 - ¾

There a 3 simple steps to subtract fractions:

⒈ Make sure the bottom numbers (the denominators) are the same.

9/8 - ¾ → They don’t have the same denominator.

You need to multiply the top number and the bottom number of ¾ by 2 :

3 (x2) 6
—- = ——
4 (x2) 8

So now you are left with : 9/8 - 6/8

⒉ Subtract the top numbers (the numerators). Put the answer over the same denominator :

9 - 6 = 3 → ⅜

⒊ Simplify the fraction (if needed) :

⅜ → The fraction is already simplified.

⇨ Your answer is: x = ⅜

There you go! I really hope this helped, if there’s anything just let me know! ☻
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Answer:

Length of the shadow of the pole is 6.93 metres

Step-by-step explanation:

Given:

Height of the pole = 4 m

The angle sun makes with the horizontal = 30 degrees

To Find:

Length of the shadow of the pole = ?

Solution:

The tangent ratio is the value received when the length of the side opposite of angle theta is divided by the length of the side adjacent to angle theta

Let x be the length of the shadow

According to the tangent ratio

tan {\theta} = \frac{opposite}{adjacent}

On substituting the values,

ta( {30^{o}) = \frac{4}{x}

x  = \frac{4}{tan ({30^{o})}}

x =\frac{4}{0.57735027}

x  = 6.93 m

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Step-by-step explanation:

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