Answer:
<h2><u>[D] 13.9</u></h2>
Explanation:
- <em>Pythagorean theorem: a² + b² = c²</em>
- <em>Solve for hypotenuse (side x) using: c = √a² + b²</em>
12.8² + 5.3² = 191.93
√191.93
= 13.8538803229
<em>Round the answer</em>
13.9
The given complex number is ⇒ z = a + b i
The absolute value of z = √( a² + b² ) = 3.28
So, we will check which of the options will give 3.28
<span>( A) IF ⇒⇒ a=1.5 and b=1.7
</span>
<span>∴ √( a² + b² ) = √( 1.5² + 1.7²) = √5.14 ≈ 2.27
</span>
===================================
<span>(B) IF ⇒⇒ a=1.5 and b=3.3
</span>
<span>∴ √( a² + b² ) = √(1.5² + 3.3²) = √13.14 ≈ 3.62
</span>
====================================
<span>(C) IF ⇒⇒ a=1.7 and b=2.8
</span>
<span>∴ √( a² + b² ) = √(1.7² + 2.8²) = √10.73 ≈ 3.28
</span>
====================================
<span>(D) IF ⇒⇒ a=2.8 and b=3.3
</span>
∴ √( a² + b² ) = √(2.8² + 3.3²) = √18.73 ≈ 4.33
=====================================
So, the correct answer is option (C) <span>a=1.7,b=2.8</span>
<span>Which number line model represents 1 + (-3)?</span><span>
-2
*Are there any options though?*</span>
Answer:
29
Step-by-step explanation:
using Pythagorean theory.
equate it to the hypotenus.
thus- hyp sq=adjacent sq +opposite sq
5/6 = x/24
6 times 4 is 24
(you have to times denominator and numerator by the same number)
5 times 4 = 20'
it would be 20/24
