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ss7ja [257]
3 years ago
9

James wants to draw a line diagonally across a rectangular piece of paper. If the paper measures 9 inches by 12 inches, what is

the minimum length of the straight-edge he needs to make the line?
Mathematics
2 answers:
Helga [31]3 years ago
8 0
The straight-edge would have to be 12.7279220614 inches
sineoko [7]3 years ago
3 0
If James draws a diagonal line of length x from one right angle to the opposite right angle, then he divides his piece of paper into two pieces, each of them is right triangle with legs 9 inches and 12 inches.
By Pythagorean theorem:
 x^2=9^2+12^2 \\ x^2=81+144 \\ x^2=225 \\ x=15 inches.
Answer: 15 inches


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A square has an area of 121 square centimetres.<br> What is its perimeter?
Karolina [17]

Answer:

  44 cm

Step-by-step explanation:

The area of a square is the square of the side length. This means the side length is the square root of the area.

  s = √A = √(121 cm²) = 11 cm

The perimeter of a square is the sum of its side lengths. There are 4 equal-length sides, so the perimeter is 4 times the length of one side:

  P = 4s = 4(11 cm)

  P = 44 cm

The perimeter of the square is 44 cm.

3 0
2 years ago
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Find the missing angle. Round your answer to the nearest degree.
Lubov Fominskaja [6]

Step-by-step explanation:

\tan( x )  =  \frac{13}{18}  \\ x = arctan (\frac{13}{18} ) \\ x =  {79}^{o}

8 0
3 years ago
Need help fast due today thanks
cricket20 [7]

1

Move everything to the left by subtracting 25 from both sides:

81x^2-25=0

Both terms are squares: 81x^2 is the square of 9x, while 25 is the square of 5. So, we can apply the factoring

a^2-b^2=(a+b)(a-b)

To factor the expression as

(9x+5)(9x-5)=0

A multiplication is zero if and only if one of the factors is zero, so we have

(9x+5)(9x-5)=0 \iff 9x+5=0 \lor 9x-5=0 \iff x=-\dfrac{5}{9} \lor x=\dfrac{5}{9}

2

The discriminant of the quadratic expression ax^2+bx+c is defined as

\Delta = b^2-4ac

So, you have

\Delta = 0^2-4\cdot(-1)\cdot(-25) = -100

3

Similarly, we have

\Delta = 7^2-4\cdot(-3)\cdot 6 = 49+72=121

8 0
3 years ago
Express 7 min.30sec.as a percentage of 1 hour .​
fgiga [73]

Answer:

well for me

Step-by-step explanation:

7 mins

7×60

=420

plus the 30sec

450 sec

450/3600×100

45000/3600

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12.5

that's how I can help

3 0
3 years ago
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Ig1000+log342 - 1 -123​
Brilliant_brown [7]

Answer:

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Step-by-step explanation:

-121 + log(342) is a transcendental number

-115.165189262937394847783249972808918485...

8 0
2 years ago
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