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den301095 [7]
3 years ago
14

Can someone please help me with this.

Mathematics
1 answer:
allsm [11]3 years ago
3 0

Answer:

10

Step-by-step explanation:

Given expression is |8-6 i|.

|8-6 i| is a complex expression.

The value of<em> i </em>is –1.

By definition of absolute value, |a+b i|=\sqrt{a^{2}+b^{2}}

Now, substitute |8-6 i| in the above formula.  

\Rightarrow|8-6 i|=\sqrt{8^{2}+(-6)^{2}}  (since <em>i </em>= –1)

                  =\sqrt{64+36}  (since 8^{2}=64 and                    –6^{2}=36)

                  =\sqrt{100}  (Square root of 100 is 10)

                  = 10

Hence, the value of the expression  |8-6 i| is 10.

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Step-by-step explanation:

The angle measures are unknown, so they will be represented with the variable, x.  Since, one angle is 4 times the other, this will be represented with 4x.

To find complementary angles, they are added together and equal 90. So let's create an equation.

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Now solve for x.

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Now find the second angle.

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plugin 18 for x and multiply

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