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Oksana_A [137]
2 years ago
11

Find the missing side of the triangle. Side LaTeX: cc is the hypotenuse and sides LaTeX: aa and LaTeX: bb are legs. Leave your a

nswer in simplest radical form. LaTeX: a=2,\:b=4
Mathematics
1 answer:
mylen [45]2 years ago
6 0

Answer:

c = 2\sqrt{5

Step-by-step explanation:

Given

a = 2

b = 4

c = hypotenuse

Required

Find c

Using Pythagoras theorem, we have:

c^2 = a^2 + b^2

Substitute values for a and b

c^2 = 2^2 + 4^2

c^2 = 4 + 16

c^2 = 20

Take square roots of both sides:

c = \sqrt{20

Express 20 as 4 * 5

c = \sqrt{4 * 5

Split surd

c = \sqrt{4} * \sqrt{5

Take square root of 4

c = 2 * \sqrt{5

c = 2\sqrt{5

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Marcel had drama practice 8.75 hours from Monday to Friday if he practices the same amount each day how many hours does marcel s
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It would be 1.75 hours each day 
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3 years ago
Simplify.<br> -4(3 – 1) +2
vladimir2022 [97]

Answer:

-4(3-1)+2

-4x2+2

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since there is only one - and one + the answer will be negative

4 0
3 years ago
Given: ∠AOC, ∠BOC - complementary angles
34kurt

Answer:

  • 30
  • COB . . . . or . . . . BOC

Step-by-step explanation:

The reason given on the line of interest is "substitution," so the problem boils down to determining what was substituted for what. The previous statement says ...

  AOC + COB = 90

and the first part of the statement we're to complete has BOC + ___.

We see from the given statements that m∠AOC = m∠BOC + 30°, so it appears that is the substitution that has been made: AOC has been replaced by BOC + 30.

This means the first blank is filled with 30.

__

The second part of the previous statement is ...

  AOC + COB = 90

so we believe this (COB) should go in the second blank.

__

Then the line of interest would read ...

  BOC + 30 + COB = 90

_____

<em>Comment on the problem</em>

There is a curious mix of notations here. Usually, (as in the beginning of this problem) we refer to the measure of an angle using "m∠" in front of the angle designator, and we use a degree symbol to indicate the units of that measure. Part-way through the problem statement written here, those notations were dropped, and we're to assume they are intended. IMO, this is a poor way to demonstrate careful problem solving.

The substitution given for AOC is BOC+30, but the line into which that is substituted has AOC +COB = 90. This means the equation after substitution is ...

  BOC +30 +COB = 90

Since BOC and COB are the same angle, we can sort of fudge the "algebra" to get to  BOC=30, but if the problem were more carefully written, the angle would be referred to by consistent nomenclature:

  m∠AOC + m∠BOC = 90° . . . . . . . . . preferred angle designations

  (m∠BOC + 30°) + m∠BOC = 90° . . . . substitution for m∠AOC

  2(m∠BOC) = 60° . . . . . . algebra (subtract 30°, collect terms)

  m∠BOC = 30° . . . . . . . . algebra (divide by 2)

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2 years ago
Relate a vertical line test to understanding functions.
SpyIntel [72]

Answer:

B or the third option you put.

Step-by-step explanation:

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3 years ago
What is 3969=x•10.5%•9/12
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Answer:

3969 = 0.07875 x

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