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3 years ago

I need help on outdated I-ready! -.-

Mathematics

1 answer:

tiny-mole [99]3 years ago

4 0

S equals 36

multiply both sides of the equation by 3

S+42=78

Move constant to the right side and change its sign

S=78-42

subtract the numbers

S=36

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The hypotenuse of an isosceles right triangle is centimeters longer than either of its legs. Find the exact length of each side.

Varvara68 [4.7K]

Question

The hypotenuse of an isosceles right triangle is 11 centimeters longer than either of its legs. find the exact length of each side.

Answer:

$Hypotenuse:37.56$

$Other\ Legs: 26.56$

Step-by-step explanation:

Let the hypotenuse be y and the other legs be x.

So:

$y = 11 + x$

Required

Determine the exact dimension of the triangle

Using Pythagoras theorem;

$y^2 = x^2 + x^2$

$y^2 = 2x^2$

This gives:

$(11+x)^2 = 2x^2$

Open bracket

$121 + 22x + x^2= 2x^2$

Collect like terms

$2x^2 - x^2 -22x - 121 = 0$

$x^2 -22x - 121 = 0$

Using quadratic formula:

$x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}$

$x = \frac{-(-22)\±\sqrt{(-22)^2 - 4*1*-121}}{2*1}$

$x = \frac{-(-22)\±\sqrt{968}}{2*1}$

$x = \frac{22\±31.11}{2}$

Split

$x = \frac{22+31.11}{2}\ or\ x = \frac{22-31.11}{2}\\$

$x = \frac{53.11}{2}\ or\ x = \frac{-9.11}{2}$

x can not be negative.

So:

$x = \frac{53.11}{2}$

$x = 26.56$

Recall that:

$y = 11 + x$

$y = 11 + 26.56$

$y = 37.56$

Hence, the dimensions are:

$Hypotenuse:37.56$

$Other\ Legs: 26.56$

6 0

3 years ago

What is mpo? 1280 1730 192 256°

VashaNatasha [74]

Answer:

192

Step-by-step explanation:

3 0

3 years ago

Please help!! Andy is 2 year older than jeff. in 5 years the sum of their ages will be 40 years . find their ages now .... provi

ANTONII [103]

Andy's age = x
Jeff's age = x-2
Andy's age in five years = x+5
Jeff's age in five years = x-2+5
The sum of their ages in five years = x+5 + x-2+5

 x + 5 + x - 2 + 5 = 40
 2x + 8 = 40
 -8 -8
 2x = 32
 :2 :2
 x = 16
x - 2 = 14

Andy is 16 years old and Jeff is 14 years old

8 0

3 years ago

What’s the area of segment (shaded region) PLEASE HELP FAST

Ainat [17]

Answer:

find the area if the sector,then the area of the triangle.After that, Subtract the area of the triangle from the area of the sector

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2 years ago

Write 192.07 in words

Pavel [41]

Answer:

one hundred and ninety two point zero seven

Step-by-step explanation:

idk guess

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3 years ago

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