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notsponge [240]
3 years ago
7

Help me with 22 and 23

Mathematics
1 answer:
cricket20 [7]3 years ago
3 0

22.

pythagorean theorem says legs a and b and hypotenuse c of a right triangle are related via the equation c²=a²+b². in other words, adding the sum of the squares of the legs get you the square of the hypotenuse

if the hypotenuse is 4 meters long, c = 4.

if one leg is 3 meters long, we can choose either a or b to be 3. it does not really matter. let us choose a = 3. now we have to find b.

if we have c²=a²+b², we can solve for b.

subtract a² both sides to get c²-a²=b², and then square root both sides to get

b = √(c²-a²)

plugging in our info we get

b = √(4²-3²) = √(16 -9) = √7

so the answer is √7 meters for 22


23

two triangles are similar, then the proportion of their sides are the same. the propotion between the smaller triangles' hypotenuse and 2cm leg is 5cm/3cm.

notice how the bigger triangle just have a doubled hypotenuse. therefore, the bigger triangle's x and y are just the corresponding smaller triangle values doubled.

x = 6 and y = 8

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Explanation below.

Step-by-step explanation:

1. a. \sqrt{x} =12

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schepotkina [342]

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11.725%

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4 0
3 years ago
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What is <img src="https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%20%2A%2081" id="TexFormula1" title="\frac{2}{3} * 81" alt="\frac
Vaselesa [24]

Hello!

<u><em>Answer:  ⇒⇒⇒⇒⇒⇒⇒ =54</em></u>

_________________________________________________________________

Step-by-step explanation:

First you had to convert element to fraction.

\frac{2}{3}*\frac{81}{1}

Then you had to cross out by the common factor of 3.

\frac{2}{1}=\frac{27}{1}

Multiply by the fraction.

\frac{2*27}{1*1}

Multiply by the number.

2*27=54

=\frac{54}{1*1}

Again multiply by the number.

1*1=1

=\frac{54}{1}

Apply rule.

\frac{54}{1}=54

54 is the right answer.

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Hope this helps!

Thank you for posting your question at here on brainly.

Have a great day!

-Charlie

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