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dmitriy555 [2]
2 years ago
10

Dane są długości przyprostokątnych trójkąta prostokątnego .Oblicz długość jego przeciwprostokątnej .Do obliczeń możesz użyć kalk

ulatora 10,24 72,21 12,35 18,80 105,100 16,30
Mathematics
1 answer:
Lina20 [59]2 years ago
5 0

Answer:

26

75

37

82

145

34

Step-by-step explanation:

Hypotenuse of a right angle triangle from pythagoras theorem is given by

h²=b²+a²

Making h the subject

h=√(b²+a²)

Where h is hypotenuse, b is base and a is the other side of a triangle

10²+24²=676

√676=26 units

72²+21²=5625

√5625=75 units

12²+35²=1369

√1369=37 units

18²+80²=6724

√6724=82 units

105²+100²=21025

√21025=145 units

16²+30²=1156

√1156=34 units

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What values of c and d make the equation true?
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Answer:

Third option.

Step-by-step explanation:

You need to cube both sides of the equation. Remember the Power of a power property:

(a^m)^n=a^{mn

\sqrt[3]{162x^cy^5}=3x^2y(\sqrt[3]{6y^d})\\\\(\sqrt[3]{162x^cy^5})^3=(3x^2y(\sqrt[3]{6y^d}))^3\\\\162x^cy^5=27x^6y^36y^d

According to the Product of powers property:

(a^m)(a^n)=a^{(m+n)

Then. simplifying you get:

162x^cy^5=162x^6y^{(3+d)}

Now you need to compare the exponents. You can observe that the exponent of "x" on the right side is 6,  then the exponent of "x" on the left side must be 6. Therefore:

c=6

You can notice that the exponent of "y" on the left side is 5,  then the exponent of "x" on the left side must be 5 too. Therefore "d" is:

3+d=5\\d=5-3\\d=2

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Step-by-step explanation:

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<em>3x - 1 + (x + 2)</em>

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