<span>The triangle on paper is 5 inches wide by 7 inches high.</span><span>
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If 1 inch on paper is equal to 1.5 feet on paper, then you need to multiply all dimensions by 18 because 1.5 feet is equal to 18 inches and you are getting 18 inches on the real banner for every inch on the paper banner. </span><span>
5 * 18 = 90 inches from the base of the rear triangle.</span><span>
7 * 18 = 125 inches for the height of the rear triangle. </span><span>
</span><span>The area of the paper triangle will be 5 * 7 / 2 = 35/2 square inches.</span><span>
The area of the rear triangle will be 90 * 125 / 2 = 5625 square inches. </span><span>
regarding feet:
The base of the real banner will be 125/12 = 10.41666666....... feet.</span><span>
the height of the real banner will be 90 / 12 = 7.5 feet.</span><span>
the area of the real banner will be 5625 / 12^1 = 5625 / 144 = 39.0625 square feet.</span><span>
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Answer:
The greatest amount of fizzy drink he can make is 480 ml
Step-by-step explanation:
The ingredients for a fizzzy drink is 5 parts lime juice and 3 parts lemonade
Therefore, we have a total portion of 5 + 3 = 8 parts
Since there ar more parts of lime juice per fizzy drink, we calculate based on lime juice
Also dividing the proportions by we get
5/5 part lime juice and 3/5 parts lemonade or
1 part lime juice and 3/5 parts lemonade or
Thus we have 300 ml lime juice and 3/5× 300 ml lemonade or
300 ml lime juice and 180 ml lemonade = 480
The greatest amount of fizzy drink he can make = 480 ml.
Answer: 34.64 m
Step-by-step explanation:
Given: A boat is 60 m from the base of a lighthouse.
The angle of depression between the lighthouse and the boat is 37°.
By using trigonometric ratios :

here x= 37°, side opposite to x = height of lighthouse (h) , side adjacent to x = 60 m

Hence, the lighthouse is 34.64 m tall.