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Kipish [7]
3 years ago
15

Plzzzzzz helppppp asappppp ****will mark brainliest ****

Mathematics
1 answer:
Sonja [21]3 years ago
6 0

ΔABC is a 45 - 45 - 90 triangle. The pattern of its sides is as follows:

Each leg = 1 unit (and both legs are that way, since the triangle is isosceles - so two sides are the same)

Hypotenuse = √2 units.

So if we know either leg, we multiply by √2 to get the hypotenuse. In reverse, we divide by √2 if we know the hypotenuse to get the measurement of a leg.

Our problem tells us that the hypotenuse AC is 10 units. We divide 10 by √2 to get the measurement of leg AB. Since it's a 45 -45 - 90 triangle, AB = BC.

AB = \frac{10}{\sqrt{2}}

= \frac{10\sqrt{2}}{\sqrt{2}\sqrt{2}} to rationalize the radical

= \frac{10\sqrt{2}}{2} = 5\sqrt{2}

Thus, each leg is 5\sqrt{2} [/tex].

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Ashley is packing her bags for her vacation. She has 8 unique Fabergé eggs, but only 5 fit in her bag. How many different groups
irakobra [83]

Answer:

56 groups of 5 Fabergé eggs can be taken.

Step-by-step explanation:

It is given that Ashley is packing her bags for her vacation. She has 8 unique Fabergé eggs, but only 5 fit in her bag. In order to find how many different groups of 5 Faberge' eggs can she take, we apply the combination formula:

8C_{5}=\frac{8!}{5!(8-5)!}

8C_{5}=\frac{8!}{5!3!}

8C_{5}=\frac{8{\times}7{\times}6{\times}5!}{5!{\times}3{\times}2}

8C_{5}=56

Thus, 56 groups of 5 Fabergé eggs can be taken.

8 0
3 years ago
Suppose Ken has 25 coins and nickels and dimes only and has a total of a $1.65 how many of each coin does he have?
nikklg [1K]
x-\ number\ of\ nickels\\
y-\ number\ of\ dimes\\\\
x+y=25 \ \ \ | x=25-y\\
0.05x+0.1y=1.65\\\\
0.05(25-y)+0.1y=1.65\\\\
1.25-0.05y+0.1y=1.65\\\\
1.25+0.05y=1.65\ \ \ | subtract\ 1.25\\\\
0.05y=0.4\ \ \ \ \ | divide\ by\ 0.05\\\\
y=8\\\\
x=25-8=17\\\\
There\ are\ 17 \ nickels\ and\ 8\ dimes.

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3 years ago
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Andru [333]
Hello!

The correct answer choice should be B. but the sign should be a multiplication sign...

Hope this helps! ☺♥
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