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3 years ago

A pattern on a quilt is made up of pieces of fabric in the shape of parallelograms. One piece of fabric is shown.

Mathematics

1 answer:

Vlad1618 [11]3 years ago

4 0

Area of one piece is 26.24cm ^2 or just 13.12cm

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What is the scientific notation of 7,000,000

creativ13 [48]

Your number would be 10 and the exponet would be 6

4 0

3 years ago

Read 2 more answers

How do you simplify <img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2%7D%20%2B%5Csqrt%7B6%7D%20%7D%7B%5Csqrt%7B8%7D%20%2B%

blondinia [14]

The trick is to exploit the difference of squares formula,

$a^2-b^2=(a-b)(a+b)$

Set a = √8 and b = √6, so that a + b is the expression in the denominator. Multiply by its conjugate a - b:

$(\sqrt8+\sqrt6)(\sqrt8-\sqrt6)=(\sqrt8)^2-(\sqrt6)^2=8-6=2$

Whatever you do to the denominator, you have to do to the numerator too. So

$\dfrac{\sqrt2+\sqrt6}{\sqrt8+\sqrt6}=\dfrac{(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)}{(\sqrt8+\sqrt6)(\sqrt8-\sqrt6)}=\dfrac{(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)}2$

Expand the numerator:

$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=\sqrt{2\cdot8}+\sqrt{6\cdot8}-\sqrt{2\cdot6}-(\sqrt6)^2$

$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=\sqrt{16}+\sqrt{48}-\sqrt{12}-6$

$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=4+\sqrt{48}-\sqrt{12}-6$

$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=-2+\sqrt{12}(\sqrt4-1)$

$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=-2+\sqrt{12}(2-1)$

$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6}=-2-\sqrt{12}$

So we have

$\dfrac{\sqrt2+\sqrt6}{\sqrt8+\sqrt6}=-\dfrac{2+\sqrt{12}}2$

But √12 = √(3•4) = 2√3, so

$\dfrac{\sqrt2+\sqrt6}{\sqrt8+\sqrt6}=-\dfrac{2+2\sqrt3}2=\boxed{-1-\sqrt3}$

7 0

3 years ago

Question:

Allisa [31]

We know that 24 is 160% more than some recommended number, let's call it "x." This means 1.6 times the recommended number equals 24. Therefore, all we need to do is solve for x.

$1.6x=24$

$x=\frac{24}{1.6}$

Make sense?

4 0

3 years ago

Abbeys cat weighs 18 pounds. Her dog weighs 2 pounds more than half her cats weight. Write and evaluate an expression to show ho

SIZIF [17.4K]

$(18 \div 2) + 2 = x$
X= lbs Abbys dog weighs
so you would take 18 divide by 2 which is 9, then you add 2. So Abbys dog weighs, 11 lbs.

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3 years ago

How many times does 96 go into 195

Anna007 [38]

You can also do the division with remainders to find the answer:

195 ÷ 96 = 2,041666666666667

So you can clearly see that there are more than two but less than three 96s in 195. So multiply 96 by 2 and then substract the result from 195 to find the remainder:

96 * 2 = 192
195 - 192 = 3

It means that in 195 there will fit two 96s with a remainder of 3.

We can also write it as two 96s and 3/96, what can be further simplified to two 96s and 1/32.

6 0

3 years ago