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SVEN [57.7K]
3 years ago
8

Find tan U. CR=6.3 UC=4.1 RU=7.7

Mathematics
1 answer:
Fofino [41]3 years ago
4 0
The answer is roughly 1.53658536585366
This value is approximate. Round it however you need to

------------------------------------

Explanation:

RU = 7.7 is the longest side, so it is the hypotenuse. We will not use this as part of the tangent ratio. Recall that tangent is the ratio of the opposite and adjacent sides of the right triangle.

The opposite side of reference angle U is CR = 6.3 since U is nowhere to be found in the letter pair CR. The adjacent side is UC = 4.1 since U is found here.

So,
tan(angle) = opposite/adjacent
tan(U) = CR/UC
tan(U) = 6.3/4.1
tan(U) = 1.53658536585366
This value is approximate. Round it however you need to

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The number of visitors to a certain Web site triples every month. The number of visitors is modeled by the expression 900 * 3^m​
kipiarov [429]

Answer:

900\times 3^m = 100

Step-by-step explanation:

The number of visitors is modeled by the expression 900\times 3^m

Where m is the number of months after the number of visitors was measured.

We need to evaluate the above expression for m = -2.

So,

900\times 3^m=900\times 3^{-2}\\\\=900\times \dfrac{1}{3^2}\\\\=900\times \dfrac{1}{9}\\\\=100

At m = -2, the value of the above expression is equal to 100.

5 0
3 years ago
What is the measure of angle t
seraphim [82]

Answer:

77° is the answer

Step-by-step explanation:

hope it helps;)

3 0
2 years ago
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Find the perimeter of the figure
SashulF [63]
To solve this, find the rest of the sides:

The other sides are:

1. 24 - 8 = 16
2. 23 - 9 = 14

Next, just add it up:

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3 0
3 years ago
Convert (-6, -6) from Cartesian coordinates to polar coordinates. Round the length to the nearest 0.01 Express the
Neko [114]

9514 1404 393

Answer:

  (8.49; 225°)

Step-by-step explanation:

The angle is a 3rd-quadrant angle. The reference angle will be ...

  arctan(-6/-6) = 45°

In the 3rd quadrant, the angle is 45° +180° = 225°.

The magnitude of the vector to the point is its distance from the origin:

  √((-6)² +(-6)²) = √(6²·2) = 6√2 ≈ 8.4859 ≈ 8.49

The polar coordinates can be written as (8.49; 225°).

_____

<em>Additional comment</em>

My preferred form for the polar coordinates is 8.49∠225°. Most authors use some sort of notation with parentheses. If parentheses are used, I prefer a semicolon between the coordinate values so they don't get confused with an (x, y) ordered pair that uses a comma. You need to use the coordinate format that is consistent with your curriculum materials.

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3 years ago
|4x−4(x+1)|=4<br> find x
ValentinkaMS [17]

Answer: x= 5

Step-by-step explanation:

Let's solve your equation step-by-step.

4x+2=2(x+6)

Step 1: Simplify both sides of the equation.

4x+2=2(x+6)

Simplify: (Show steps)

4x+2=2x+12

Step 2: Subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

Step 3: Subtract 2 from both sides.

2x+2−2=12−2

2x=10

Step 4: Divide both sides by 2.

2x /2  =  10 /2

x=5

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3 years ago
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