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svet-max [94.6K]
3 years ago
11

What is the measure of AC

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
6 0
Angle ABC is an inscribed angle so would be half of the arc.
So, 4x-5.5=1/2(5x+25)
4x-5.5=5/2x+25/2
4x-5.5=2.5x+12.5
4x-2.5x=12.5+5.5
1.5x=18
x=12

So angle ABC=4(12)-5.5=48-5.5=42.5
Arc AC=5(12)+25=60+25=85

Check: 42.5(2)=85

Answer: Arc AC is 85
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3 years ago
Using Euler's relation, derive the following relationships:a. Cosθ=½(e^jθ+e^−jθ)b. Sinθ=½(e^jθ−e(^−jθ)
Montano1993 [528]

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Step-by-step explanation:

a.We know that

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e^jθ = cosθ + jsinθ

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dividing through by 2 we have

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b. We know that

e^jθ = cosθ + jsinθ and

e^(-jθ) = cosθ - jsinθ

Subtracting both equations, we have

e^jθ = cosθ + jsinθ

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e^(-jθ) = cosθ - jsinθ

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4 0
3 years ago
Two percent of all seniors in a class of 50 have scored above 96% on an ext exam, which of the following is the number of senior
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Answer:

The number of seniors who scored above 96% is 1.

Step-by-step explanation:

Consider the provided information.

Two percent of all seniors in a class of 50 have scored above 96% on an ext exam.

Now we need to find the number of seniors who scored above 96%

For this we need to find the two percent of 50.

2% of 50 can be calculated as:

\frac{2}{100}\times50

\frac{100}{100}

1

Hence, the number of seniors who scored above 96% is 1.

6 0
3 years ago
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