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hodyreva [135]
3 years ago
6

If 0 < z ≤ 90 and sin(9z − 1) = cos(6z + 1), what is the value of z?

Mathematics
1 answer:
BartSMP [9]3 years ago
3 0

Answer:

The value of z is:

z = 6

Step-by-step explanation:

We have been given 4 options of z. Lets substitute each value in the given equation to see which option satisfies.

<h3 /><h3>For z = 3</h3>

sin(9z - 1) = cos(6z + 1)

sin(9(3) - 1) = cos(6(3) + 1)

sin(26) = cos(19)

0.438 = 0.945

FALSE

<h3 /><h3>For z = 4</h3>

sin(9z - 1) = cos(6z + 1)

sin(9(4) - 1) = cos(6(4) + 1)

sin(35) = cos(25)

0.574 = 0.965

FALSE

<h3 /><h3>For z = 5</h3>

sin(9z - 1) = cos(6z + 1)

sin(9(5) - 1) = cos(6(5) + 1)

sin(44) = cos(31)

0.695 = 0.857

FALSE

<h3 /><h3>For z = 6</h3>

sin(9z - 1) = cos(6z + 1)

sin(9(6) - 1) = cos(6(6) + 1)

sin(53) = cos(37)

0.799 = 0.799

TRUE

<h3 />
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Theoretical probability and Experimental probability are related in that theoretical probability is based on your reasoning (e.g. two sides; therefore, there is a 50% chance of heads), but experimental probability is where your numbers are based off of actual results (e.g. you landed head 1/4th of the time; therefore, there is a 25% chance of getting heads.)

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Solve the math problem
Nadusha1986 [10]

<u>Answer:</u>

Below!

<u>Explanation:</u>

Exponents are small numbers that defines how many times does the base needs to multiply itself. Two exponents can also be classified in words. 'Squared' defines a number multiplying itself two times. 'Cubed' defines a number multiplying itself three times. If there is a zero as the base's exponent, this means that the result will always be 1. Now, let's solve all the problems together.

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Hoped this helped!

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2 years ago
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