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Fynjy0 [20]
3 years ago
9

8. Find the value of 8^x/2^y if 3x - y = 4,

Mathematics
1 answer:
tatiyna3 years ago
5 0
Hopes this helps:

Answer: 32

1. Simplify 8^3 to 512.
512 / 2^4

2. Simplify 2^4 to 16.
512 / 16

3. Simplify 513 / 16 to 32.
32
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Find cosθ, cscθ, and tanθ, where θ is the angle shown in the figure. Give exact values, not decimal approximations.
NNADVOKAT [17]

Answer:

see explanation

Step-by-step explanation:

To find cscθ we require to find the third side of the triangle.

let 3rd side be x and using Pythagoras' identity

x² + 8² = 9²

x² + 64 = 81 ( subtract 64 from both sides )

x² = 17 ( take square root of both sides )

x = \sqrt{17}

Then

cosθ = \frac{adjacent }{hypotenuse} = \frac{8}{9}

cscθ = \frac{hypotenuse}{opposite} = \frac{9}{\sqrt{17} }

tanθ = \frac{opposite}{adjacent} = \frac{\sqrt{17} }{8}

3 0
3 years ago
How can you rename a whole number?
MakcuM [25]
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7 0
3 years ago
Which of the following illustrates the truth value of the given conditional statement?
ivolga24 [154]

Answer:

~p -> ~q

Step-by-step explanation:

A conditional statement in logic may be symbolized by the alphabets, p and q, It always contains an if - then statement.

There is always a  logical connector in the statement with the symbol ->.

A conditional statement is false if the hypothesis is true and the conclusion is false.

The statement in the answer above reads in word; "if not p then not q".

6 0
3 years ago
Konrad raised $75.50 for his football team. He raised 151% of his fundraising goal how much more then his fundraising did Konrad
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Answer:

He raised $25.50 over his fund raising goal

Step-by-step explanation:

Here, we want to calculate his fund raising goal.

Let his fund raising goal be $x

We are told that he raised 151% of his fundraising goal;

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mathematically;

151% of x = 75.5

151/100 * x = 75.5

151x = 100 * 75.5

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x = 7550/151

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So the amount he raised over his fund raising goal will be $75.50 - $50 = $25.50

8 0
3 years ago
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