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2 years ago

Help me :( please help me

Mathematics

1 answer:

Katena32 [7]2 years ago

7 0

Answer:

22.84, 5.83

Step-by-step explanation:

Pythagoras theorem states that: a^2+b^2=c^2

So, for red triangle, it will be: 9^2+21^2=b^2

81+441=b^2

522=b^2

square root of 522=b

22.84=b

For purple one,

3^2+5^2=a^2

9+25=a^2

34=a^2

square root of 34=a

5.83=a

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Answer:

6) 6 $\sqrt{2}$

9) 40

10) $\frac{5\sqrt{2} }{2}$

11) 13

Step-by-step explanation:

6)A right triangle rule: if 2 legs are equal, the hypotenuse is the length of that leg* $\sqrt{2}$

9) Pythagorean Theorem

$a^{2} +b^{2} =c^{2}$

We know the hypotenuse (41) so we substitute that for c and 9 for b now we need to find a

$\sqrt{41^{2}-9^{2} }$ which gives us 40

10) same with #6 but we do the opposite. SInce we have the hypotenuse, we can divide that by $\sqrt{2}$ because we know that if 2 legs are equal, the hypotenuse is multiplied by $\sqrt{2}$ . Multiply the numerator and denominator by $\sqrt{2}$ because we can't have a square root in the denominator.

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3 years ago

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MAVERICK [17]

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3 years ago

Lea sold 2 cherry pies and 4 pumpkin pies for a total of $116. Kali sold 7 cherry pies and 8 pumpkins pies for a total of $286.

Nitella [24]

Answer: the cost of one cherry pie is $18 and the cost of one pumpkin pie is $20

Step-by-step explanation:

Let x represent the cost of one cherry pie.

Let y represent the cost of one pumpkin pie.

Lea sold 2 cherry pies and 4 pumpkin pies for a total of $116. This means that

2x + 4y = 116 - - - - - - - - - - - - - -1

Kali sold 7 cherry pies and 8 pumpkins pies for a total of $286. This means that

7x + 8y = 286 - - - - - - - - - - - - 2

Multiplying equation 1 by 7 and equation 2 by 2, it becomes

14x + 28y = 812

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Subtracting, it becomes

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y = 240/12 = 20

Substituting y = 20 into equation 1, it becomes

2x + 4 × 20 = 116

2x + 80 = 116

2x = 116 - 80 = 36

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3 years ago

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Angelina_Jolie [31]

Answer:

The value of k is $\pm 9$ and The value of p is - 23

Step-by-step explanation:

Given equation as :

81 y - 17 = k² y + 6 + p

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∵ The equation has no solution the ,

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3 years ago

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Answer:

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