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bija089 [108]
3 years ago
12

30 points!! What is the value of x? A. 7 B. 7√2 C. 14 D. 14√2

Mathematics
1 answer:
GREYUIT [131]3 years ago
7 0
The answer would be C.14
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What is the total cost of an item priced $4.95 if there is 5% sales tax?
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7 0
3 years ago
Hi does anyone know how to solve this question if so please show the working out.
tester [92]

Explanation:

The Law of Sines is your friend, as is the Pythagorean theorem.

Label the unmarked slanted segments "a" and "b" with "b" being the hypotenuse of the right triangle, and "a" being the common segment between the 45° and 60° angles.

Then we have from the Pythagorean theorem ...

  b² = 4² +(2√2)² = 24

  b = √24

From the Law of Sines, we know that ...

  b/sin(60°) = a/sin(θ)

  y/sin(45°) = a/sin(φ)

Solving the first of these equations for "a" and the second for "y", we get ...

  a = b·sin(θ)/sin(60°)

and ...

  y = a·sin(45°)/sin(φ)

Substituting for "a" into the second equation, we get ...

  y = b·sin(θ)/sin(60°)·sin(45°)/sin(φ) = (b·sin(45°)/sin(60°))·sin(θ)/sin(φ)

So, we need to find the value of the coefficient ...

  b·sin(45°)/sin(60°) = (√24·(√2)/2)/((√3)/2)

  = √(24·2/3) = √16 = 4

and that completes the development:

  y = 4·sin(θ)/sin(φ)

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3 years ago
Factor the expression 18x+3 using the GCF.
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8 0
2 years ago
jane hilman went to her bank. she has a balance of $1009.88 in her savings account. she withdrew $130.00 and the teller credited
blagie [28]
First substract $130.00  from $1009.88 like this:
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Then substract  $6.19 we get:
\$879,88-\$6.19=\$873,69
$873.69 is the remaining amount in <span>Jane hitman's account. </span>
3 0
3 years ago
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