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11Alexandr11 [23.1K]
3 years ago
14

Jackie is flying a kite. She let out 200 ft of string and stakes the kite to the ground. Find how high the kite is if the angle

of evelation is 34°?
Mathematics
1 answer:
umka2103 [35]3 years ago
7 0
200 feet is the hypotenuse and the height is the opposite side

sine (34) = height / 200
height = 200 * sine (34)
height = 200 * 0.55919
height = 111.838

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Answer:

29

Step-by-step explanation:

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Beau's recipe for granola bars calls for 3 1/2 cups of oatmeal. He only has a 1/6 cup scoop. How many scoops of oatmeal will he
Drupady [299]

There will be \boxed{\bf 21} scoops of oatmeal to complete the recipe.

Further explanation:

Given that Beau’s recipe of granola bars contains 3\frac{1}{2} cups of oatmeal.

Beau’s has only \frac{1}{6} cup scoop.

Our aim is to find the number of scoops of oatmeal Beau’s needed to complete the recipe for granola bars.

Total cups of oatmeal are 3\frac{1}{2}.

First we have to convert the total cups of oat meal to proper fraction.

\begin{aligned}\text{Cups of oatmeal for the recipe}&=\dfrac{(3\cdot 2)+1}{2}\\&=\dfrac{6+1}{2}\\&=\dfrac{7}{2}\end{aligned}  

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Since there are \frac{7}{2} cups of oatmeal and \frac{1}{6} cup scoop, therefore, number of scoops required to complete the meal are calculated as follows:

\begin{aligned}\text{Number of scoops required}&=\dfrac{\frac{7}{2}}{\frac{1}{6}}\\&=\dfrac{7}{2}\cdot 6\\&=7\cdot 3\\&=21\end{aligned}  

The total number of scoops is obtained in whole number; therefore, this is our final answer.

Therefore, \boxed{\bf 21} scoops of oatmeal are needed by Beau’s to complete the recipe of granola bars.

Learn more:

1. Learn more about simplified form brainly.com/question/1602237

2. Learn more about equations brainly.com/question/1473992

3. Learn more about fractions brainly.com/question/1648978

4. Learn more about composite function brainly.com/question/2723982

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Fractions

Keywords: Beau’s, recipe, granola, bars, cups, oatmeal, scoop, 3 1/2 ,1/6 cup scoop, complete, cups of oatmeal, fractions, whole number.

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