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vaieri [72.5K]
2 years ago
6

Can someone help with question #4 please

Mathematics
1 answer:
Lostsunrise [7]2 years ago
8 0

Answer:

4,0 is the right ok I am a professor

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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
Brainliest goes to whoever answers correctly
SSSSS [86.1K]

Answer:

The answer is C.

5 0
3 years ago
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Is rolling doubles a simple event or compound event
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The answer to your question is Compound! I think
7 0
3 years ago
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Write the equation of the parabola that has the vertex at point (2,7) and passes through
Anton [14]

Answer:

f(x) =  \frac{4}{3} (x - 2) ^{2}  + 7

Step-by-step explanation:

the answer is :- .

f(x) =  \frac{4}{3} (x - 2) ^{2}  + 7

6 0
2 years ago
A car travels 24 km in 15 minutes. How far does it travel in 1 and a half hours
VladimirAG [237]

Answer:

144 km

Step-by-step explanation:

1 hour and a half hour = 90 minutes.

In 15 minutes a car travels 24 km

In 1 minute a car travels (24÷15) = 1.6 km

In 90 minutes a car travels (90×1.6)= 144 km

Ans.- 144 km

4 0
2 years ago
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