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ra1l [238]
3 years ago
5

Today ian wants to run less than 7/12 mile. Write a fraction with a denominator of 4 to represent

Mathematics
1 answer:
jolli1 [7]3 years ago
4 0
3/4
the answer is 3/4

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Jericho takes 3 tests in one month. The number of correct answers and the total
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you need to show the table for this question to get solved

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Mr. Jones eats out at his favorite buffet restaurant every Friday night. If the cost is $9 and he budgets $42 for the month, how
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He will be able to eat nine times.

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Because nine times nine is 91 which is on one less then what he has, so that means he will be able to eat there nine times. Hope I helped

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A reflecting pool is shaped like a right triangle with one leg along the wall of a building. the hypotenuse is 9 feet longer tha
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Answer:

Leg side along the wall = x ft = 8 ft

The other leg side = 7+x ft = 7+8=15 ft

The Hypotenuse =9+x ft = 9+8 = 17 ft

Step-by-step explanation:

In the question, the shape of the pool is right triangle.

Let the leg side along the wall to be the x ft

Let the other leg side  to be 7+x ft

Let the longest side/hypotenuse to be x+9 ft

Apply the Pythagorean relationship where the sum of squares of the legs equals the square of the hypotenuse

This means;

x^2 +(x+7)^2=(x+9)^2\\\\

Expand the terms in brackets

x^2+(x+7)^2=(x+9)^2\\\\\\x^2+x^2+14x+49=x^2+18x+81

collect like terms

x^2+x^2-x^2=18x-14x+81-49\\\\\\x^2=4x+32\\\\\\x^2-4x-32=0

solve for x in the quadratic equation by factorization

x^2-4x-32=0\\\\\\x^2-8x+4x-32=0\\\\\\x(x-8)+4(x-8)=0\\\\\\(x+4)(x-8)=0\\\\\\x+4=0,x=-4\\\\x-8=0,x=8

Taking the positive value of x;

x=8ft

Finding the lengths

Leg side along the wall = x ft = 8 ft

The other leg side = 7+x ft = 7+8=15 ft

The Hypotenuse =9+x ft = 9+8 = 17 ft

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3 years ago
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Step-by-step explanation:

x =  \sqrt{ {12}^{2} +  {13}^{2}  }  \\  = \sqrt{ 144 +  169  }   \\  =  \sqrt{313}  \\  = 17.69 \\

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