Answer:
The potato is 224 feet in the air after 2.75 second on the way up and after 5 seconds on the way back down.
Step-by-step explanation:
Given : A potato launched by a particular potato gun has a height described by 
.
To find : When is the potato 224 feet in the air?
Solution :
When the potato is 224 feet in the air i.e. 
Substitute in the equation ,
Applying quadratic formula, 
Here, a=4, b=-31 and c=55
The potato is 224 feet in the air after 2.75 second on the way up and after 5 seconds on the way back down.
Answer:
there are 8 candles
Step-by-step explanation:
(i) In order to obtain an equal amount of candle to candle holders Caroline has to buy enough packs to obtain a 1:1 ratio.
Therefore to obtain a 1:1 ratio:
=30 candles/18 candle holders * (18/30)
Therefore she needs to buy 18 packs of candles and 30 packs of candle holders to have exactly the same number of candles and holders
(ii) Caroline can make = 30*18 = 540 table decorations
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In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle. The length of the hypotenuse can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.
<em>It is useful in different situations involving the need to find distance or the measure of an angle.</em>
Use the Pythagorean theorem to calculate the hypotenuse from right triangle sides. Take a square root of sum of squares: c = √(a² + b²)
The answer to this question is 50 because you have to multiply 100x50 and you get 5000
-11x² + 2x = 10
-11x² + 2x - 10 = 10 - 10
-11x² + 2x - 10 = 0
x = <u>-(2) +/- √((2)² - 4(-11)(-10))</u>
2(-11)
x = <u>-2 +/- √(4 - 440)</u>
-22
x = <u>-2 +/- √(-436)
</u> -22<u>
</u>x = <u>-2 +/- 2i√(109)
</u> -22
x = <u>-2 + 2i√(109</u>) x = <u>-2 - 2i√(109)</u>
-22 -22
x = ¹/₁₁ - ¹/₁₁i√(109) x = ¹/₁₁ + ¹/₁₁i√(109)
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