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3 years ago

In analyzing this diagram, which statement represents a crucial step to proving the pythagorean theorem using this diagram?

Mathematics

1 answer:

Rudik [331]3 years ago

5 0

Answer:

D: recognize that BOTH of the large squares contain 4 right triangles with base a and height b

Step-by-step explanation:

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the sales tax on the purchase of a futon is 33.53.if the tax rate is 7%,find the purchase price of the futon.

Nesterboy [21]

2.3471 or 2 dollars and 35 cents

5 0

3 years ago

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 da answer to 5. and 6? help is needed please plzzzz

denpristay [2]

5 is 130.48
6 is 826.66

7 0

3 years ago

Margaret goes to the county fair with $35. Rides cost $3 each. Write an equation that gives the amount of money m that Margaret

Oksi-84 [34.3K]

Answer:

11.

Step-by-step explanation:

I got the answer of 11, as I:

-First, I worked out how many rides Margaret would be able to go on, so I did $35 -/- $3, which was a decimal, but the most amount of times would be 11 rides that she could go on, therefore, that's the amount of rides she would take, and have $2 left over.

Hope this helps!

--Emilie Xx

3 0

2 years ago

Read 2 more answers

3 Max travels to see his brother's family by car. He drives 216 miles in 4 hours.

OLga [1]

Answer:

54 miles per hour

Step-by-step explanation:

If you divide the number of miles (216) by the hours (4) you get 54.

4 0

3 years ago