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3 years ago

Find the midpoint of the line segment with endpoints

Mathematics

1 answer:

finlep [7]3 years ago

5 0

Answer:

(-1.85, -0.15)

Step-by-step explanation:

$\frac{x1 + x2}{2} , \frac{y1 + y2}{2}$

Here,

x1 = -5.1

x2 = 1.4

y1 = -2

y2 = 1.7

Now substituting the values we have in the equation, we get:-

$\frac{-5.1+ 1.4}{2} , \frac{-2+ 1.7}{2}$

$\frac{-3.7}{2} , \frac{-0.3}{2}$

The coordinates of the midpoint would be = (-1.85, -0.15)

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A water and sprinkle our sins water out in a circular pattern how many feet away can it spread water if the area formed by the w

ludmilkaskok [199]

Answer:

11 feet away.

Step-by-step explanation:

Given:

A water and sprinkle our sins water out in a circular pattern

Area formed by the watering pattern is 379.94 square feet

To find:

How many feet away can it spread water means we have to find distance from the middle point to the last end of circular pattern of water sprinkling (radius of a circle) = ?

solution:

By using ,Area of a circle = $\pi r^{2}$

Area of a circle = 379.94 square feet (given)

$\pi r^{2}$ = $379.94$

$3.14\times r^{2} = 379.94\\$

Dividing both side by 3.14

$r^{2} = \frac{379.94}{3.14} = 121$

Taking square root both side

$r = \sqrt[2]{11\times11}$ (Taking common)

$r = 11$

Therefore, radius = 11

Thus, it can spread water 11 feet away.

8 0

3 years ago

You are competing in a race. The table shows the times from last year's race you want your time to be last year's median time wi

aleksandr82 [10.1K]

Answer:

$27\leq x \leq37$

Step-by-step explanation:

Let's arrange the numbers from least to greatest:

20, 25, 27, 28, 31, 32, 32, 38, 40, 40, 42, 48

The median is the "middle" number when arranged from least to greatest.

There are 12 numbers, so the middle number would be "average" of 6th and 7th terms.

6th term = 32

7th term = 32

Average = (32+32)/2 = 32

Hence, median = 32

Absolute deviation of 5 minutes means 5 minutes less or greater than the median, 32.

So, 32 - 5 = 27 & 32 + 5 = 37

Hence $27\leq x \leq37$

4 0

3 years ago

Solve for x: 2x^5/3-22=464 a) x = 28 b) x = 27 c) x = ±27 d) x = ±28

Effectus [21]

Answer:

Step-by-step explanation:

Given the expression ${2x^{\frac{5}{3} }-22 = 464$ , we are to find the value of x in the expression. This is as shown below;

${2x^{\frac{5}{3} }-22 = 464$

add 22 to both sides

${2x^{\frac{5}{3} }-22 = 464+22\\\\$

${2x^{5/3} =486$

divide both sides by 2

$\frac{2x^{5/3}}{2} =\frac{486}{2}\\ x^{5/3} = 243$

raise both sides to the power of 3/5

$(x^{5/3})^{3/5} = (243)^{3/5}\\x = (\sqrt[5]{243}) ^3\\x = 3^3\\x = 27$

Hence the value of x is 27

8 0

3 years ago

7. If U= {2, 4, 6, 8, 10, 12, 14, 16} and<br> A = {6, 10, 14}, what is A'?

Tresset [83]

The compliment of set A that is A' is equal to {2, 4, 8, 12, 16}.

We are given the universal set as:

U = {2, 4, 6, 8, 10, 12, 14, 16}

We are also given that set A is:

A = {6, 10, 14}

We need to find A'

For this, we will subtract set A from the universal set, U.

So, we get that:

A' = U - A

A' = {2, 4, 6, 8, 10, 12, 14, 16} - {6, 10, 14}

Solving the expression, we get that:

A' = {2, 4, 8, 12, 16}

Therefore, we get that, the compliment of set A that is A' is equal to {2, 4, 8, 12, 16}.

Learn more about sets here:

brainly.com/question/2166579

#SPJ9

5 0

1 year ago

Which of these quadrilaterals have opposite sides that are parallel? Name these quadrilateral

Ad libitum [116K]

Answer:

square,rectangle,rhombus,paralellagram

Step-by-step explanation:

4 0

2 years ago