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vova2212 [387]
3 years ago
7

PLS ANSWER ITS URGENT

Mathematics
1 answer:
matrenka [14]3 years ago
6 0

Answer:

The length of the ramp must be at least 14.71 feet

Step-by-step explanation:

Given

BC = 2.3ft

\theta = 9^\circ

<em>See attachment for complete figure</em>

Required

Length of the ramp (z)

To do this, we consider sin of angle A (\theta).

So, we have:

sin\theta = \frac{Opposite}{Hypotenuse}

This gives:

sin(9)= \frac{2.3}{z}

Make z the subject

z= \frac{2.3}{sin(9)}

z = \frac{2.3}{0.1564}

z = 14.71 ft

<em>The length of the ramp must be at least 14.71 feet</em>

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a cooler contains 50 bottles; 30 bottles of water, which 8 are lemon flavored and 20 bottles of tea, of which 5 are lemon flavor
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Answer:

The required probability is \dfrac{13}{50}

Step-by-step explanation:

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<em></em>

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Probability of selecting a lemon flavored bottle from water bottle:

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<em>Probability of selecting a lemon flavored water bottle = P(A)</em>

<em></em>\dfrac{3}{5} \times \dfrac{8}{30} = \dfrac{4}{25}<em></em>

<em></em>

Probability of selecting a tea bottle:

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<em>Probability of selecting a lemon flavored tea bottle = P(B)</em>

<em></em>\dfrac{2}{5} \times \dfrac{1}{4} = \dfrac{1}{10}<em></em>

<em></em>

<em>The required probability is:</em>

<em>P(A) + P(B):</em>

<em></em>\dfrac{4}{25} + \dfrac{1}{10}\\\Rightarrow \dfrac{8+5}{50}\\\Rightarrow \dfrac{13}{50}<em></em>

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