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harina [27]
3 years ago
14

I need help with 14 and 15!?

Mathematics
1 answer:
Levart [38]3 years ago
7 0

Answer:

15

Step-by-step explanation:

Pythagorean theorem states that the hypogenous of a right triangle is c=\sqrt{a^{2}+b^{2}} . The hypogenous is the longest part of the triangle which is directly across from the 90 degree angle.

a = 9

b = 12

so,

c = \sqrt{9^{2}+12^{2}  } = 15

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Learning Task 4. Solve the problem by applying the sum and product of roots
Delvig [45]

Answer:

<em>Thus, the dimensions of the metal plate are 10 dm and 8 dm.</em>

Step-by-step explanation:

For a quadratic equation:

x^2+bx+c=0

The sum of the roots is -b and the product is c. Note the leading coefficient is 1.

We know the perimeter of the rectangular metal plate is 36 dm and its area is 80 dm^2. Being L and W its dimensions, then:

P=2(L+W)=36

A=L.W=80

Note both formulas are closely related to the roots of the quadratic equation, we only need to adjust the data for the perimeter to be exactly the sum of L+W and not double of it.

Thus we use the semi perimeter instead as P/2=L+W=18

The quadratic equation is, then:

x^2-18x+80=0

Factoring by finding two numbers that add up to 18 and have a product of 80:

(x-10)(x-8)=0

The solutions to the equation are:

x=10, x=8

Thus, the dimensions of the metal plate are 10 dm and 8 dm.

6 0
3 years ago
Solve the following inequality. 2 x &lt; 8
JulsSmile [24]

Answer:

x < 4

Step-by-step explanation:

Step 1: Write inequality

2x < 8

Step 2: Divide both sides by 2

x < 4

We see here that any value of <em>x</em> less than 4 will work. So numbers like 1, 0, -124 or even -14687206589174 would work.

8 0
3 years ago
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Please help to write the following
Vanyuwa [196]

Answer: option 2. x²-1

Step-by-step explanation:

concept to know: a²-b²=(a+b)(a-b)

------------

(a+b)(a-b)=a²+b²

(x+1)(x-1)=x²-1

Hope this helps!! :)

Please let me know if you have any question

4 0
3 years ago
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Vega swam her leg of the race in 27.98 seconds and Janice swam her leg of the relay race in 25.679 seconds. What was their combi
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3 0
3 years ago
Someone please help out
exis [7]

Answer:

39+0.15m \leqslant 50

Step-by-step explanation:

From the question, Diana wants her total bill to be less than $50.

Diana pays a fixed monthly bill of

$39 for her mobile phone and an additional

$0.15 per minute for phone internet service.

The bill Diana pays for m minutes of using the internet is $0.15m in a month.

The total monthly bill becomes,

39+0.15m

The maximum bill she wants to pay is $50.

\implies39+0.15m \leqslant 50

This inequality can be solved to determine the number of available minutes.

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