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larisa [96]
3 years ago
11

Lisa is making a juice-mix that uses orange juice and pineapple juice in 6:7 ratio. Which all of the following options describe

how Stella should buy orange juice and apple juice? Select all that apply. Question 1 options: For every 7 liters of pineapple juice Lisa buys, she buys 6 liters of orange juice. The difference between the amount of pineapple juice and orange juice Lisa buys must be 1 liter For Every 7 cups of orange juice Lisa buys, she buys 6 liters of pineapple juice. for every 13 liters of juice Lisa buys, 7 of them are pineapple juice.
Mathematics
1 answer:
m_a_m_a [10]3 years ago
4 0

Answer:

For every 7 liters of pineapple juice Lisa buys, she buys 6 liters of orange juice.

For every 13 liters of juice Lisa buys, 7 of them are pineapple juice.

Step-by-step explanation:

every 6 liters of orange would need 7 of pineapple

13-7=6

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Answer:

3.2 m

Step-by-step explanation:

Let x be the distance between the cliff and the boat.

Since the cliff is 25 m above sea level and the distance between the boat and the height of the cliff are perpendicular, and the line of sight of the boat to the base of a cliff is 29 , these three form a right-angled triangle with hypotenuse side as the line of sight of the elevation of the boat to the base of the cliff.

So, using trigonometric ratios, tan29° = 25/x

x = 25 m/tan29° = 25 m/0.5543 = 45.1 m

Also, the line of sight of the top of the flagpole, the cliff and the distance between the boat and the cliff form a right-angled triangle with hypotenuse side as the line of sight of the top of the flagpole,

Now, the angle of elevation of the top of the flagpole from the top of the boat is 32°, we now find the angle opposite to x, the distance from the boat to the cliff.  

Since it is a right-angled triangle, thus one angle is 90° and the unknown angle is A.

So, 90° + 32° + A = 180° (sum of angles in a triangle)

122° + A = 180°

A = 180° - 122°

A = 58°

Let y be the length of the flagpole. In this same triangle, using the sine rule, with x being the side opposite A and 25 + y being the side opposite the 32° angle, where 25 + y = height of cliff + length of flagpole, then

x/sinA = (25 + y)/sin32°

25 + y = xsin32°/sinA

y =  xsin32°/sinA - 25

y = 45.1sin32°/sin58° - 25

y = 45.1 × 0.5299/0.8480 - 25

y = 45.1 × 0.6249 - 25

y =28.183 - 25

y = 3.183

y ≅ 3.2 m to one decimal place

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