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den301095 [7]
3 years ago
15

Someone help plz make sure it’s right :)

Mathematics
2 answers:
Anestetic [448]3 years ago
8 0

Step-by-step explanation:

10² = 8² + x²

x² = 10² - 8²

x² = 36

x = √36

x = 6

fomenos3 years ago
4 0

Answer:

6 m

Step-by-step explanation:

By Pythagoras Theorem:

x =  \sqrt{ {10}^{2} -  {8}^{2}  }  \\  \\ x =  \sqrt{100 - 64}  \\  \\ x =  \sqrt{36}  \\  \\ x = 6 \: m

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Calculate the length b to two decimal places.
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Answer:

B. 21.64

Step-by-step explanation:        

We have been given a triangle and we are asked to find the length of AC (b).

We will use law of cosines to find the length of side AC.

c^{2}=a^{2}+b^{2}-2ab \text{ cos }\theta

Upon substituting our given values in the formula we will get,

(AC)^{2}=15^{2}+12^{2}-2\times 15\times 12 \text{ cos}(106)  

(AC)^{2}=225+144-360\text{ cos}(106)      

(AC)^{2}=369-360(-0.275637355817)      

(AC)^{2}=369+99.22944809412    

(AC)^{2}=468.22944809412

Upon taking square root of both sides of our equation we will be get,

AC=\sqrt{468.22944809412}

AC=21.6386101238993629\approx 21.64  

Therefore, the length of b is 21.64 and option B is the correct choice.

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3 years ago
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Step-by-step explanation:

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