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Allisa [31]
3 years ago
5

What is the value of x, when x2 + 5 = 21?

Mathematics
1 answer:
djverab [1.8K]3 years ago
4 0

Hey there!

  • \bold{x^2+5=21}
  • <em>Firstly, subtract by the number \bold{5}  on each of your sides</em>
  • \bold{x^2+5-5=21-5}
  • \bold{Cancel:5-5} because it gives us the result of \bold{1}
  • \bold{Keep:21-5}  because it equals: \bold{16}
  • \bold{x^2=16}
  • <em>Nextly, we have to take our square root </em>
  • \bold{x=}±\bold{\sqrt{16}}
  • <em>Solve the square root and you have found your answer</em>
  • <em>\boxed{\boxed{\bold{Answer:x=4[or]x=-4}}} \bold{\checkmark}</em>

Good luck on your assignment and enjoy your day!

~\bold{LoveYourselfFirst:)}

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Answer:68.3 degrees

Step-by-step explanation:

The diagram of the triangle ABC is shown in the attached photo. We would determine the length of side AB. It is equal to a. We would apply the cosine rule which is expressed as follows

c^2 = a^2 + b^2 - 2abCos C

Looking at the triangle,

b = 75 miles

a = 80 miles.

Angle ACB = 180 - 42 = 138 degrees. Therefore

c^2 = 80^2 + 75^2 - 2 × 80 × 75Cos 138

c^2 = 6400 + 5625 - 12000Cos 138

c^2 = 6400 + 5625 - 12000 × -0.7431

c^2 = 12025 + 8917.2

c = √20942.2 = 144.7

To determine A, we will apply sine rule

a/SinA = b/SinB = c/SinC. Therefore,

80/SinA = 144.7/Sin 138

80Sin 138 = 144.7 SinA

SinA = 53.528/144.7 = 0.3699

A = 21.7 degrees

Therefore, theta = 90 - 21.7

= 68.3 degees

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