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nika2105 [10]
2 years ago
8

Find the length of the third side. If necessary, round to the nearest tenth.

Mathematics
1 answer:
IceJOKER [234]2 years ago
3 0

Answer:

a = 6

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

a^2 + 8^2 = 10 ^2

a^2 +64 = 100

a^2 = 100 -64

a^2 = 36

Take the square root of each side

sqrt(a^2) = sqrt(36)

a = 6

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A desk is 2 meters long and 1 meter wide. The desk needs to be represented in a scale drawing of an office that uses a scale of
Strike441 [17]

Answer:

<em>Thus, the dimensions of the desk in the drawing are 4 cm long and 2 cm wide.</em>

Step-by-step explanation:

<u>Scaling</u>

The scale factor established to represent a desk 2 meters long and 1 meter wide is:

1 centimeter = 0.5 meter

We need to convert the real dimensions to the scaled dimensions. To complete the task, it's a good idea to multiply the real dimensions by the ratio:

\displaystyle \frac{1\ cm}{0.5\ m}

to get the scaled dimensions.

The length of 2 meters is scaled to:

\displaystyle 2\ m\frac{1\ cm}{0.5\ m}=4\ cm

And the width of 1 meter is scaled to:

\displaystyle 1\ m\frac{1\ cm}{0.5\ m}=2 cm

Thus, the dimensions of the desk in the drawing are 4 cm long and 2 cm wide.

3 0
2 years ago
Given: F(x) = 2x2+ 1, G(x) = 2x - 1, H(x) = x F(3) + G(4) - 2H(5) = 16 26 34
Roman55 [17]

Answer:

  16

Step-by-step explanation:

Put the numbers where the variables are and evaluate:

  F(3) = 2(3)^2 +1 = 19

  G(4) = 2(4) -1 = 7

  H(5) = 5

Then the desired sum is ...

  F(3) +G(4) -2H(5) = 19 +7 -2(5) = 16

3 0
3 years ago
Help me out please :)
Veseljchak [2.6K]

Answer: -6 is the answer

Step-by-step explanation:

4 0
3 years ago
Math 2 Of high school
Daniel [21]

Answer:

  • B. BC = 18 so ∆ABC ~ ∆DEF by SAS

Step-by-step explanation:

\bf \cfrac{AB}{DE}  =  \cfrac{BC}{EF}

  • \bf \cfrac{15}{10}  =  \cfrac{BC}{12}
  • \bf  \cfrac{3}{2}  =  \cfrac{BC}{12}
  • \bf BC =  \cfrac{3}{2}  \times 12
  • \bf 3 \times 6
  • \bf BC = 18
  • \bf \angle B = \angle \: E

So, ∆ABC ~ ∆DEF by SAS.

<h3><u>------------------------------------</u></h3>
7 0
2 years ago
3(x-5) = 5x - (3 - x)
alina1380 [7]

Answer:

X=-4

Step-by-step explanation:

8 0
3 years ago
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