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juin [17]
3 years ago
9

Francesca has 63 cm of ribbon. She will cut it into two pieces so that the longer piece is 15 cm longer than the shorter piece.

Mathematics
1 answer:
stiks02 [169]3 years ago
5 0

Of you find a wrong thing on answer reply me

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a^{-n}=\dfrac{1}{a^n}\\\\a^{-1}=\dfrac{1}{a}\\\\(ab)^n=a^nb^n\\\\(a^n)^m=a^{nm}\\----------------------\\\\10\#\ (6x)^{-2}=\dfrac{1}{(6x)^2}=\dfrac{1}{6^2x^2}=\boxed{\dfrac{1}{36x^2}}\\\\11\#\ \left(\dfrac{x^2}{y^3}\right)^{-1}=\dfrac{1}{\frac{x^2}{y^3}}=\boxed{\dfrac{y^3}{x^2}}\\----------------------

\sqrt[n]{a}=b\iff b^n=a\\-----------------------\\\\17\#\ \left(\sqrt[3]{27}\right)^4=3^4=\boxed{81}\\\\\sqrt[3]{27}=3\ because\ 3^3=27\\\\19\#\ \left(\sqrt[4]{625}\right)^3=5^3=\boxed{125}\\\\\sqrt[4]{625}=5\ because\ 5^4=625\\-----------------------

a^{\frac{1}{n}}=\sqrt[n]{a}\\\\a^n\cdot a^m=a^{n+m}\\-----------------------\\\\22\#\ 25^{\frac{3}{2}}=25^{1+\frac{1}{2}}=25^1\cdot25^{\frac{1}{2}}=25\cdot\sqrt{25}=25\cdot5=\boxed{125}\\\\\sqrt{25}=5\ because\ 5^2=25\\\\23\#\ (-27)^{\frac{4}{3}}=(-27)^{1+\frac{1}{3}}=(-27)^1\cdot(-27)^{\frac{1}{3}}=-27\cdot\sqrt[3]{-27}\\=-27\cdot(-3)=\boxed{81}\\\\\sqrt[3]{-27}=-3\ because\ (-3)^3=-27\\------------------------

a^{\frac{m}{n}}=\sqrt[n]{a^m}\\----------------------\\\\24\#\ \left(\sqrt[5]{32}\right)^7=\boxed{32^{\frac{7}{5}}}\\\\or\ \left(\sqrt[5]{32}\right)^7=\boxed{2^7}\\\\\sqrt[5]{32}=2\ because\ 2^5=32\\\\25\#\ \left(\sqrt[3]{125}\right)^2=\boxed{125^{\frac{2}{3}}}\\\\or\ \left(\sqrt[3]{125}\right)^2=\boxed{5^2}\\\\\sqrt[3]{125}=5\ because\ 5^3=125

5 0
4 years ago
Ryan is putting a clothesline in his rectangular backyard. He wants to put it between two trees on the edge of his property. He
expeople1 [14]

Answer:

25

Attached is the missing image and explanation

Step-by-step explanation:

From the attached image;

The smallest length of the rope can be derived by drawing a line across the field.

Such that the two trees and a point on the 25 length forms a right angle triangle as shown in the attached image.

The right angle triangle formed is of sides

20 , l and (25-10) = 15

To determine the value of l using Pythagoras theorem;

l² = 20² + 15²

l² = 400+225 = 625

l = √625

I = 25

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3 years ago
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What are the coordinates of the image of ()4, 2after a rotation by 90counterclockwise about the origin followed by a reflection
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Answer:

(2,4)

Step-by-step explanation:

give brainliest please

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