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Masja [62]
3 years ago
15

Sariyah cuts 22 yards of cloth into 8 pieces of equal length the lengths of each pieces falls between two measures

Mathematics
1 answer:
ra1l [238]3 years ago
5 0

Answer:

1 piece of equal length = 2 3/4 yards of cloth

Step-by-step explanation:

Sariyah cuts 22 yards of cloth into 8 pieces of equal length the lengths of each pieces falls between two measures

8 pieces of equal length = 22 yards of cloth

1 piece of equal length = x yards

Cross Multiply

8 pieces × x yards = 22 yards × 1 piece

x yards = 22 yards/8

x yards = 11/4

x yards = 2 3/4 yards

Therefore, 1 piece of equal length = 2 3/4 yards of cloth

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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
Novay_Z [31]

Answer:  3+\sqrt{2}

Step-by-step explanation:

Given the following expression shown in the picture:

\frac{7}{3-\sqrt{2} }

You need to use a process called "Ratinalization".

By definition, using Rationalization you can rewrite the expression in its simplest form so there is not Radicals in its denominator.

Then, in order to simplify the expression, you can follow the following steps:

<em>Step 1</em>. You need to multiply the numerator and the denominator of the fraction by  3+\sqrt{2}, which is the conjugate of the denominator  3-\sqrt{2}.

<em>Step 2</em>. Then you must apply the Distributive property in the numerator.

<em>Step 3</em>. You must apply the following property in the denominator:  (a+b)(a-b) = a^2 - b^2

Therefore, applying the procedure shown above, you get:

=\frac{(7)(3+\sqrt{2})}{(3-\sqrt{2})(3+\sqrt{2})}=\frac{21+7\sqrt{2}}{3^2-(\sqrt{2})^2}=\frac{21+7\sqrt{2}}{9-2}=\frac{21+7\sqrt{2}}{7}

<em>Step 4</em>.  You can observe that the expression can be simplified even more. Since:

 \frac{a+b}{c}=\frac{a}{c}+\frac{b}{c}

You get:

\frac{21+7\sqrt{2}}{7}=\frac{21}{7}+\frac{7\sqrt{2}}{7}=3+\sqrt{2}

3 0
2 years ago
What is the measure of the arc represented by the numbers 6 and 11 on a clock face?
Marat540 [252]
150; because 6-11 is almost 180, but it’s not quite there, so it’s a little less
8 0
3 years ago
Read 2 more answers
Using the measurements given below, find the hypotenuse of the triangle.
zloy xaker [14]

Answer:

In the triangle shown, AB = 11, BC = 61. Find AC. Right Triangle ABC v2. 3,600; 3,842; 60; 62. 4. Using the following measurements, find the length of the leg of the right triangle. leg = 5

Step-by-step explanation:

Not sure if that's helpful, but hope it is.

5 0
3 years ago
Please help me I will give you alot of points​
emmasim [6.3K]
I would say it’s 240
7 0
3 years ago
Read 2 more answers
Find the taxable income of a married couple with two children, who have a combined income of $75,000.
Dima020 [189]

Answer:

$47,200

Step-by-step explanation:

Given :

The total income of a married couple =  $75,000.

Number of children = 2

Therefore to find the taxable income of  a U.S.  family is given by the following formula ---

taxable income = total income- exemption deduction - standard deduction

We know that exemption deduction for a U.S couple as fixed by the government is $15,600.

And the standard deduction for a U.S couple as fixed by the government is $12,200.

Thus in order to find the taxable income of the couple, use the formula

taxable income = total income- exemption deduction - standard deduction

                          = $75,000 - $15,600 - $12,200

                          = $47,200.

Thus the taxable income is $47,200.

8 0
3 years ago
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