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2 years ago

Can someone plz help me with this one problem plz!!!

Mathematics

1 answer:

irina1246 [14]2 years ago

5 0

Answer:

oxfords cornmarket is famous for shopping ,sure, but some locals perfer the shops in jericho.

Step-by-step explanation:

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Find the perimeter of a field that has length 2/x + 1 and width 5/x^2 -1.

Semmy [17]

Answer:

D)4x + 6/(x + 1)(x - 1)

Step-by-step explanation:

A field is basically a rectangle, so to find the perimeter of our field we are using the formula for the perimeter of a rectangle

$p=2(l+w)$

where

$p$ is the perimeter

$l$ is the length

$w$ is the width

We know from our problem that the field has length 2/x + 1 and width 5/x^2 -1, so $l=\frac{2}{x+1}$ and $w=\frac{5}{x^2-1}$ .

Replacing values:

$p=2(l+w)$

$p=2(\frac{2}{x+1} +\frac{5}{x^2-1})$

Notice that the denominator of the second fraction is a difference of squares, so we can factor it using the formula $a^2-b^2=(a+b)(a-b)$ where $a$ is the first term and $b$ is the second term. We can infer that $a=x^2$ and $b=1^2$ . So, $x^2-1=(x+1)(x-1)$ . Replacing that:

$p=2(\frac{2}{x+1} +\frac{5}{x^2-1})$

$p=2(\frac{2}{x+1} +\frac{5}{(x+1)(x-1})$

We can see that the common denominator of our fractions is $(x+1)(x-1)$ . Now we can simplify our fraction using the common denominator:

$p=2(\frac{2(x-1)+5}{(x+1)(x-1)} )$

$p=2(\frac{2x-2+5}{(x+1)(x-1)} )$

$p=2(\frac{2x+3}{(x+1)(x-1)} )$

$p=\frac{4x+6}{(x+1)(x-1)}$

We can conclude that the perimeter of the field is D)4x + 6/(x + 1)(x - 1).

3 0

3 years ago

If a transversal crosses three non-parallel lines, how many pairs of vertical angles are formed? Explain your answer. its a writ

Lina20 [59]

Step-by-step explanation:

Each transversal crossing a line generates 2 pairs of vertical angles and for 3 transversal crossing the same line it will be 3 x2 = 6 pairs (or 12 angles)

7 0

3 years ago

Compute the standard deviation of the following set of data to the nearest whole number:

Klio2033 [76]

Answer:

Step-by-step explanation:

The standard deviation is the square root of the variance, and the variance is found by using the mean. So we will do that first. I will use the population variance as opposed to the sample variance since our set of numbers is small.

The mean: 8 + 12 + 15 + 17 + 18 = 70 and divide that by 5 to get

$\bar{x}=14$ and use this to find the variance in the formula:

$s^2=\frac{\sum(x_i-\bar{x})^2}{n}$ it is a bit difficult to enter that formula in correctly, but here's how it works mathematically:

$s^2=\frac{(8-14)^2+(12-14)^2+(15-14)^2+(17-14)^2+(18-14)^2}{5}$

Squaring this ensures us that we don't end up with zero, which would be useless.

$s^2=\frac{36+4+1+9+16}{5}$ so

$s^2=13.2$ which means that the standard deviation is

s = 3.633

(If you do it with n-1 = 4 in the denominator of the variance, you get a standard deviation of 4.062)

3 0

2 years ago

Find the area of a parallelogram with height 4 4/5 and base is 5 2/3

AlexFokin [52]

This parallelogram has an area of 27.17.

To find this you use the formula a = bh

So when you fill in base (b) and height (h) with the values provides you get the formula a = 5.66 x 4.8 then you just multiply those two numbers together. If you don't understand any part of this, please let me know and I will explain in more detail.

6 0

3 years ago

Read 2 more answers

You are making cupcakes and the recipe specifies 6 small eggs for every 27 cupcakes. You need to make 36 cupcakes. How many smal

astra-53 [7]

For every egg you can make 4.5 cupcakes so you will need 8 small eggs because 8 times 4.5 equals 36

6 0

3 years ago