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Scrat [10]
2 years ago
12

What is the length of the hypotenuse of the right triangle shown?

Mathematics
1 answer:
chubhunter [2.5K]2 years ago
3 0

Answer:

<h2>20</h2>

Step-by-step explanation:

Use the Pyhagorean theorem:

leg^2+leg^2=hypotenuse^2

We have the lengths of legs 12 and 16. Substitute:

c^2=12^2+16^2\\\\c^2=144+256\\\\c^2=400\to c=\sqrt{400}\\\\c=20


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It’s equal to 6.614 pounds.
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2 years ago
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In 4 ​hours, an experienced cook prepares enough pies to supply a local​ restaurant's daily order. Another cook prepares the sam
vodka [1.7K]

Answer:

9\frac{1}{3}hours

Step-by-step explanation:

Let third cook take x hours to prepare the same number of  pies y alone

Let y be the number of pies

In 1 hour ,third cook prepare pies=\frac{y}{x}

One experienced cook takes time to prepare enough pies  =4 hours

In 1 hour , cook prepare pies=\frac{y}{4}

Another cook takes time to prepare same number of pies =7 hours

In 1 hour , another cook prepare pies=\frac{y}{7}

All three cooks take time to  prepare the same number of pies=2 hours

In 1 hour,all three cooks  prepare  pies=\frac{y}{2}

According to question

\frac{y}{4}+\frac{y}{7}+\frac{y}{x}=\frac{y}{2}

y(\frac{1}{4}+\frac{1}{7}+\frac{1}{x})=\frac{y}{2}

\frac{1}{4}+\frac{1}{7}+\frac{1}{x}=\frac{1}{2}

\frac{1}{x}=\frac{1}{2}-\frac{1}{4}-\frac{1}{7}

\frac{1}{x}=\frac{14-7-4}{28}=\frac{3}{28}

x=\frac{28}{3}=9\frac{1}{3} hours

Hence, the third cook takes time to prepare the same number of pies alone=9\frac{1}{3}hours

8 0
3 years ago
Solve the inequality.
svetlana [45]

Answer:

Step-by-step explanation:

n ≥ -2 + 9

n ≥ 7

3 0
3 years ago
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What best describes the area of a polygon
never [62]

Answer:

The area of any regular polygon is given by the formula: Area = (a x p)/2, where a is the length of the apothem and p is the perimeter of the polygon. Plug the values of a and p in the formula and get the area. As an example, let's use a hexagon (6 sides) with a side (s) length of 10.

The area of a polygon is the two-dimensional set of all points surrounded by the sides of the polygon.

If you're looking for an equation, it varies based on the number of sides and the shape of the polygon.

Step-by-step explanation:

Apothem

A regular polygon is equilateral (it has equal sides) and equiangular (it has equal angles). To find the area of a regular polygon, you use an apothem — a segment that joins the polygon’s center to the midpoint of any side and that is perpendicular to that side (segment HM in the following figure is an apothem).

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3 years ago
What is the expanded form for 600,000 + 80,000 + 10
svlad2 [7]
680,010 hope that helps
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