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Ganezh [65]
3 years ago
6

the width of a rectangle is 2/3 length, The perimeter of the rectangle is 100 ft. What is the width, in feet, of the rectangle.

Mathematics
1 answer:
lakkis [162]3 years ago
7 0

Answer:

The width would be 20 and the length would be 30

Step-by-step explanation:

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Rosa and Hercules are collecting chandeliers in a ratio of 10:8. If they collected 270 chandeliers altogether, how many chandeli
m_a_m_a [10]

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Step-by-step explanation:

so you have to multiply the ratio first

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What number is needed to complete the pattern below? 5 10 3 15 20 13 25 30 __?
djverab [1.8K]
23
because
the pattern is
(5 10) ..1.. (15 20) ..2.. (25 30) ..3..


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5\12 +2/5 what is the answer
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5/12+2/5
4.167+0.4
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3 years ago
200 = 16(6t - 13)<br><br> t = ? <br> Help!
Marrrta [24]

Step 1. Divide both side by 16

100/16 = 6t - 13

Step 2. Dimplify 200/16 to 25/2

25/2 = 6t - 13

Step 3. Add 13 to both sides

25/2 + 13 = 6t

Step 4. Simplify 25/2 + 13 to 51/2

51/2 = 6t

Step 5. Divide both sides by 6

51/2/6 = t

Step 6. Simplify 51/2/6 to 51/2 * 6

51/2 * 6 = t

Step 7. Simplify 2 * 6 to 12

51/12 = t

Step 8. Simplify 51/12 to 17/4

17/4 = t

Step 9. Switch sides

t = 17/4

4 0
3 years ago
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Drag each tile to the correct box. Vector t, with a magnitude of 4 meters/second and a direction angle of 60°, represents a swim
astraxan [27]

Answer:

From top to bottom, the boxes shown are number 3, 5, 6, 2, 4, 1 when put in ascending order.

Step-by-step explanation:

It is convenient to let a calculator or spreadsheet tell you the magnitude of the sum. For a problem such as this, it is even more convenient to let the calculator give you all the answers at once.

The TI-84 image shows the calculation for a list of vectors being added to 4∠60°. The magnitudes of the sums (rounded to 2 decimal places—enough accuracy to put them in order) are ...

... ║4∠60° + 3∠120°║≈6.08

... ║4∠60° + 4.5∠135°║≈6.75

... ║4∠60° + 4∠45°║≈7.93

... ║4∠60° + 6∠210°║≈3.23

... ║4∠60° + 5∠330°║≈6.40

... ║4∠60° + 7∠240°║≈ 3

_____

In the calculator working, the variable D has the value π/180. It converts degrees to radians so the calculation will work properly. The abs( ) function gives the magnitude of a complex number.

On this calculator, it is convenient to treat vectors as complex numbers. Other calculators can deal with vectors directly

_____

<em>Doing it by hand</em>

Perhaps the most straigtforward way to add vectors is to convert them to a representation in rectangular coordinates. For some magnitude M and angle A, the rectangular coordinates are (M·cos(A), M·sin(A)). For this problem, you would convert each of the vectors in the boxes to rectangular coordinates, and add the rectangular coordinates of vector t.

For example, the first vector would be ...

3∠120° ⇒(3·cos(120°), 3·sin(120°)) ≈ (-1.500, 2.598)

Adding this to 4∠60° ⇒ (4·cos(60°), 4°sin(60°)) ≈ (2.000, 3.464) gives

... 3∠120° + 4∠60° ≈ (0.5, 6.062)

The magnitude of this is given by the Pythagorean theorem:

... M = √(0.5² +6.062²) ≈ 6.08

___

<em>Using the law of cosines</em>

The law of cosines can also be used to find the magnitude of the sum. When using this method, it is often helpful to draw a diagram to help you find the angle between the vectors.

When 3∠120° is added to the end of 4∠60°, the angle between them is 120°. Then the law of cosines tells you the magnitude of the sum is ...

... M² = 4² + 3² -2·4·3·cos(120°) = 25-24·cos(120°) = 37

... M = √37 ≈ 6.08 . . . . as in the other calculations.

4 0
3 years ago
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