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Schach [20]
2 years ago
5

Express -23 in the form bi where b is a real number TIME SENSITIVE

Mathematics
1 answer:
balu736 [363]2 years ago
4 0

Answer:

A

Step-by-step explanation:

i stands for square root of negative 1. If you multiple i and square root of 23 you will end up with the original

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Use the law of cosines to find the value of cos theta. round your answer to two decimal places
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<u>Answer:</u>

The correct answer option is B. 0.21.

<u>Step-by-step explanation:</u>

We are to find the value of cos \theta using the law of cosines.

We know that the formula of the cosine rule is given by:

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

So substituting the given values in the above formula:

10.9 ^ 2 = 5.8 ^ 2 + 10.5 ^ 2 - 2 (5.8) (10.5) cos C

118.81=33.64+110.25-121.8cosC

118.81 - (33.64+110.25) = -121.8cosC

118.81-143.86=-121.8cosC

cosC=\frac{-25.05}{-121.8}

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3 years ago
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what is the sum of an 8th term geometric series if the first term is -11, the last term is 180,224, and the common ratio is -4
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The sum of n terms is given from the first term and the common ratio by

S_{n}=a_{1}\dfrac{r^{n}-1}{r-1}

For your given values of a1=-11, r=-4, n=8, the sum of 8 terms is

S_{8}=(-11)\dfrac{(-4)^{8}-1}{-4-1}=(-11)\dfrac{65535}{-5}\\\\=144177

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mark earned $8 per hour plus and additional $50 in tips waiting tables on saturday. He earned $165 in all.
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Step-by-step explanation:

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