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2 years ago

Can someone give me the correct answer to this problem please?

Mathematics

2 answers:

GenaCL600 [577]2 years ago

5 0

Answer:

50 degrees

Step-by-step explanation:

Comment if u want explanation

Feliz [49]2 years ago

5 0

Answer:

I believe it is the third one! 60! I hope this helps!

Step-by-step explanation:

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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:

$Hypotenuse:37.56$

$Other\ Legs: 26.56$

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2 years ago

Kelly bought a new car for $20,000. The car depreciates at a rate of 10% per year. Write an equation to model the car’s value. U

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Answer:

P=P'(1-R/100)^T

Where P = Final price

P'=Initial price

T=Time

R=Rate of Depreciation.

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2 years ago

The variables x and y vary directly. Given the equation y = 2x , find the value of x when

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The answer for this question is 5

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2 years ago

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A farmer bought a number of pigs for $160. However, 8 of them died before he could sell the rest at a profit of 6 per pig. His t

juin [17]

Answer:

The farmer bought 36 pigs in all.

Step-by-step explanation:

Given that a farmer bought a number of pigs for $ 160, but, however, 8 of them died before he could sell the rest at a profit of 6 per pig, and his total profit was $ 8, to determine how many pigs did he originally buy the following calculation must be performed:

160 + 8 = 168

168/6 = 28

28 + 8 = 36

Thus, the farmer bought 36 pigs in all.

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2 years ago

You have $60 and your sister has $120. You are saving $14 per week and your sister is saving $10 per week. How long will it be b

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Answer:

15 weeks

The amount of money is 270

Step-by-step explanation:

You: 60 +14x

Sister: 120+10x

Set them equal to each other

60+14x = 120+10x

Subtract 10x from each side

60+4x= 120

Subtract 60 from each side

4x= 60

Divide by 4

4x/4 = 60/4

x = 15

15 weeks

The amount of money is 120+10*15 = 120+150 = 270

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3 years ago

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