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mezya [45]
4 years ago
7

2logx-log3=1. Help solve?

Mathematics
1 answer:
Debora [2.8K]4 years ago
3 0
Logx^2 - log3 = logx^2/3

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Ralph sold brownies for ​$0.18 a piece in order to earn money to buy baseball cards. If the cards cost ​$0.36 per​ pack, and if
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The least number of brownies that he must have sold was 2.

$0.18 x 2 = $0.36
$0.36 - $0.36 = $0.00
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What is the quotient of Three-fourths and StartFraction 5 Over 6 EndFraction?
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9/10

Step-by-step explanation:

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The area of a rectangular classroom is 420 square feet. If the length and width of the classroom are multiplied by 3, what will
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When you multiply the sides my a constant, the area multiplies by the constant squared.
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Which describes the cross section of the rectangular prism that passes through vertices A, B, C, and D?
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Find the values of x and y. Write your answers in simplest form
SCORPION-xisa [38]

Answer:

x =6

y=6\cdot \sqrt{2}

Step-by-step explanation:

<u>Trigonometric Ratios </u>

The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios: sine, cosine, tangent, cosecant, secant, and cotangent.

The longest side of the right triangle is called the hypotenuse and the other two sides are the legs.

Choosing any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

The image shows a right triangle where the angle of 45° has x as the opposite leg, 6 as the adjacent leg, and y as the hypotenuse. The trigonometric ratio that applies here is the cosine ratio, defined as:

\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}

\displaystyle \cos 45^\circ=\frac{6}{y}

Solving for y:

\displaystyle y=\frac{6}{\cos 45^\circ}

\cos 45^\circ=\frac{\sqrt{2}}{2}=\frac{1}{\sqrt{2}}

Substituting:

\displaystyle y=\frac{6}{\frac{1}{\sqrt{2}}}

y=6\cdot \sqrt{2}

Now use the tangent ratio:

\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}

\displaystyle \tan 45^\circ=\frac{x}{6}

Solving for x:

x=6\cdot\tan 45^\circ

\tan 45^\circ=1

Substituting:

x=6\cdot 1

x =6

Answer:

x =6

y=6\cdot \sqrt{2}

6 0
3 years ago
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