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3 years ago

The width of a rectangle is 20 units.Can the perimeter be 64 units when it’s length x is 11

Mathematics

1 answer:

11Alexandr11 [23.1K]3 years ago

7 0

The formula for perimeter is 2L +2W

Replace w with 20 and L with 11:

2(11) + 2(20) = 22 + 40 = 62

This does not equal 64, so the perimeter cannot be 64 with 20 and 11 being the dimensions.

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Find the angle between vector u=2i+sqrt(11)j and v=-3i-2j to the nearest degree

const2013 [10]

Answer: Last option 155°

Step-by-step explanation:

We have the components of the vectors u and v.

Then, to find the angle between them, perform the following steps:

1) Calculate the scalar product u * v

If $u = 2i + \sqrt{11}j$ and $v = -3i-2j$

Then, the product scalar u * v is:

$u * v = (2)(-3) + (\sqrt{11})(-2)$

$u * v = -6-2\sqrt{11}$

$u * v = -12.633$

2) Calculation of the magnitude of both vectors.

$| u | = \sqrt{(2) ^ 2 + (\sqrt{11})^2}\\\\| u | = \sqrt{4+11}\\\\| u | = \sqrt{15}$

$| v | = \sqrt{(- 3) ^ 2 + (- 2) ^ 2}\\\\| v | = \sqrt{9 +4}\\\\| v | = \sqrt{13}$

3) Now that you know the product point between the two vectors and the magnitude of each, then use the following formula to find an angle

$u * v = | u || v |cos(\alpha)$

$-12.633 = \sqrt{15}\sqrt{13}*cos(\alpha)\\\\cos(\alpha) = \frac{-12.633}{\sqrt{15}\sqrt{13}}\\\\arcos(\frac{-12.633}{\sqrt{15}\sqrt{13}}) = \alpha\\\\\alpha =155\°$

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4 years ago

I want a correct answer you can take your time. If I was born on December 24, two thousand and four and my classmate was born on

cricket20 [7]

Answer:

5years, 3months, 16 days

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3 years ago

2. At a particular snack stand, each dill pickle has 65 calories and each bag of

Naddika [18.5K]

Answer:

5 pickles and 1.4 bags of popcorn

Step-by-step explanation:

5x 65= 375

695 - 375= 370

370 ÷ 250 = 1.4

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3 years ago

wendy and rick left the library at noon and cycled 480 meters to the town hall . wendy cycled at a spees of 80 meters per minute

LenKa [72]

Cycled 480 meters but after cycling 0.25 of the distance Wendy stopped and waited for Rick to catch up

0.25 (480) = 120 meters

Wendy cycled at a speed of 80 meters per minute = 120 /80 = 1.5 minutes
Rick's speed was 20 meters per minute slower than Wendy's = 120 / 60 = 2 minutes

so 2 minutes - 1.5 minutes = 0.5 minutes

answer
Wendy waited 0.5 minutes for Rick

4 0

3 years ago

Help, ill mark brainliest

ASHA 777 [7]

Answer: FIRST OPTION.

Step-by-step explanation:

First, it is important to remember that the Slope-Intercept form of the equation of a line is the shown below:

$y=mx+b$

Where "m" is the slope of the line and "b" is the y-intercept.

By definiton, given a System of Linear equations, if they are exactly the same line, then the System of equations have Infinely many solutions.

In this case you have the following System of Linear equations given in the exercise:

$\left \{ {{y=-2x+5} \atop {y=ax+b}} \right.$

So, since you need the system has Infinite solutions, you know that the slope and the y-intercept of both lines must be equal.

Therefore, you can identify that the value of "a" and "b" must be the following:

$a=-2\\\\b=5$

So the Linear System would be the shown below:

$\left \{ {{y=-2x+5} \atop {y=-2x+5}} \right.$

3 0

3 years ago