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2 years ago

What is (12m+1) - (5m-4)

Mathematics

2 answers:

lutik1710 [3]2 years ago

5 0

(12m + 1) - 5m + 4

12m + 1 - 5m + 4

12m + 5 - 5m

= 7m + 5

Kipish [7]2 years ago

3 0

Answer:

$7m + 5$

Step-by-step explanation:

If you "open up" the parentheses, you would get:

$12m+1-5m+4$

Which, if you combine like terms, is:

$7m+5$

Hope this helps :)

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Let the height of the pole is x cm,

Also, let the angle of elevation of the sun to the pole at 3 pm is $\theta$

Thus, by the question,

$tan\theta = \frac{\text{ The height of the pole}}{\text{ The height of the shadow}}$

$\implies tan\theta = \frac{x}{x}$ ( at 3pm the height of shadow = height of the pole)

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$\implies \theta = 45^{\circ}$

Again, according to the question,

When the angle of elevation is $(\theta - 12^{\circ})$ ,

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$\implies tan 33^{\circ}x - x = - 95\times tan33^{\circ}$

$\implies -0.3505924068 x = - 61.6937213538$

$x=175.969930202\approx 175.97\text{ cm}$

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