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Paladinen [302]
3 years ago
12

For each problem, find the missing value using the Pythagorean Theorem

Mathematics
1 answer:
aniked [119]3 years ago
3 0

Answer: \sqrt{66}

Step-by-step explanation:

The Pythagorean Theorem says that a^2 + b^2 = c^2  where a and b are the two legs.  

In this care leg 1 is 4 and leg two is the square root of 50. So we will square them to find c which is the hypotenuse.

4^2 + \sqrt{50} ^2  = C^2

16 +  50 = c^2

  66 = c^2

    c =\sqrt{66}  

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Twenty toothpicks, each 6 cm long, form a figure consisting of six equilateral triangles and a rectangle as shown. What is the t
Roman55 [17]

The total area of the figure is 139.20 square centimeters

Areas

The area of a shape is the amount of space it occupies

<h3>Composite figure</h3>

The figure (see attachment) is a composite figure, and the total area is the sum of the areas of each shape that makes up the complete figure

The shape has 6 equilateral triangles, each of which has an area of:

A_1 = \sqrt{\frac{3s^2}{4}}

Where:

s = 6 --- the length of each toothpick

The area of the rectangle is then represented as:

A_2 =3s \times s

A_2 =3s^2

So, the total area of the figure is:

Total = 6A_1 + A_2

This gives

Total =6 \times \sqrt{\frac{3s^2}{4}} + 3s^2

Substitute 6 for s

Total =6 \times \sqrt{\frac{3(6)^2}{4}} + 3(6)^2

Total =6 \times \sqrt{27} + 108

Total =6 \times 5.20+ 108

Total =139.20

Hence, the total area of the figure is 139.20 square centimeters

Read more about areas at:

brainly.com/question/21135654

7 0
2 years ago
12) Which polynomial function has a leading coefficient of 2, root-5 with multiplicity 3, and root 12 with multiplicity 1?
gogolik [260]

Answer:

A

Step-by-step explanation:

5 0
3 years ago
The length of a rectangle is shown below:
uranmaximum [27]

Sorry if I get this wrong but if your trying to make a rectangle wouldn't it bc (-3,1) and (1,1)?

6 0
3 years ago
Ivan's has 3/4 pound of hamburger meat. She makes 3 hamburgers patties.each patty weighs the same amount.hiw much dies each hamb
gulaghasi [49]
25 percent
because use quarters as and example
7 0
3 years ago
Read 2 more answers
2-9*7+5=
Fed [463]
7*7=49+5=54 just use PEMDAS
7 0
3 years ago
Read 2 more answers
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