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4 years ago

Nancy is making a kite based on the pattern below. About how much binding does Nancy need to cover the edges of the kite?

Mathematics

1 answer:

Ainat [17]4 years ago

4 0

Check the picture below.

so the perimeter of the kite is x+x+y+y, namely 2x + 2y.

$\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=\stackrel{hypotenuse}{x}\\ a=\stackrel{adjacent}{8}\\ b=\stackrel{opposite}{15}\\ \end{cases} \\\\\\ x=\sqrt{8^2+15^2}\implies x=\sqrt{289}\implies \boxed{x=17} \\\\[-0.35em] ~\dotfill$

$\bf \begin{cases} c=\stackrel{hypotenuse}{y}\\ a=\stackrel{adjacent}{8}\\ b=\stackrel{opposite}{4}\\ \end{cases}\implies y=\sqrt{8^2+4^2}\implies y=\sqrt{80}\implies \boxed{y\approx 8.94} \\\\[-0.35em] ~\dotfill\\\\ 2x+2y\implies 2(17)+2(8.94)\implies 51.88\implies \stackrel{\textit{rounded up more}}{51.9}$

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Can someone please help me on 20 and 21

Feliz [49]

For number 20 x = 4

3 0

3 years ago

PLEASE HELP ME WITH THIS! A flower bed is in the shape of a triangle with one side twice the length of the shortest side, and t

LUCKY_DIMON [66]

Answer:

A=60, B=80, and C=67

Step by step explanation:

B= 2a

C= a+27

With the information, you get the equation:

A+A+27+2A=187

Then, you have to simplify.

You then get 4a+27=187.

Now, you subtract 27 from both sides to get: 4a=60.

Divide both sides by 4 to get A= 60.

If A=60, 2A=80, so B=80. A+27=67, so C=67.

You check this by adding them up to see if they equal to 187, which in fact, they do.

A=60, B=80, and C=67.

Hope this helped!

7 0

3 years ago

Which expression is equivalent to x y Superscript two-ninths?

crimeas [40]

Option D: $x\sqrt[9]{y^2}$ is the expression equivalent to $xy^{\frac{2}{9}}$

Explanation:

Option A: $\sqrt{xy^9}$

The expression can be written as $({xy^9})^{\frac{1}{2}$

Applying exponent rule, we get,

$x^{\frac{1}{2}} y^{\frac{9}{2}}$

Thus, the expression $\sqrt{xy^9}$ is not equivalent to the expression $xy^{\frac{2}{9}}$

Hence, Option A is not the correct answer.

Option B: $\sqrt[9]{xy^2}$

The expression can be written as $({xy^2})^{\frac{1}{9}$

Applying exponent rule, we get,

$x^{\frac{1}{9}} y^{\frac{2}{9}}$

Thus, the expression $\sqrt[9]{xy^2}$ is not equivalent to the expression $xy^{\frac{2}{9}}$

Hence, Option B is not the correct answer.

Option C: $x\sqrt{y^9}$

The expression can be written as $x(y^9)^{\frac{1}{2} }$

Applying exponent rule, we get,

$x y^{\frac{9}{2}}$

Thus, the expression $x\sqrt{y^9}$ is not equivalent to the expression $xy^{\frac{2}{9}}$

Hence, Option C is not the correct answer.

Option D: $x\sqrt[9]{y^{2} }$

The expression can be written as $x(y^2)^{\frac{1}{9} }$

Applying exponent rule, we get,

$xy^{\frac{2}{9}}$

Thus, the expression $xy^{\frac{2}{9}}$ is equivalent to the expression $xy^{\frac{2}{9}}$

Hence, Option D is the correct answer.

4 0

3 years ago

Read 2 more answers

Convert 3/5 to a decimal using long division

NISA [10]

Step-by-step explanation:

5✓3

0.6

put a zero in 3and put a zero above put a decimal point and 6 because of 30

8 0

3 years ago

What are the coordinates of the vertices of the triangle under the translation (x y) (x − 1 y − 3)

Vsevolod [243]

Answer:

A: (-9,-3)(-2,-4)(-5,-8)

B: (-5,2)(-1,-3)(3,2)

C: (4,-7)(-1,-3)(4,1)

D: (-1,-11)(-2,-4)(-6,-7)

Step-by-step explanation:

So of the transformations, translations are pretty much the easiest. x-1 just means move all coordinates left 1 and y-3 means move all coordinates down 3. So for the first one the x coordinate gets 1 subtracted from it and the y value gets 3 subtracted from it.

(-8,0) => (-8-1, 0-3) = (-9,-3)

I do recommend double checking though, for practice and in case I flubbed a calculation.

7 0

3 years ago