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3 years ago

Which set of integers is not a pythagorean triple?

Mathematics

1 answer:

Studentka2010 [4]3 years ago

6 0

C is not a pythagorean triple

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The diagram below shows a pennant in the shape of an isosceles triangle. The equal sides each measure 13. The altitude is x + 7

Kisachek [45]

Answer: The length of the base is 10.

Step-by-step explanation:

You can draw an isosceles triangle like the one shown attached.

An isosceles triangle has two equal sides. Then, you can divide it into two right triangles, where the base of each one of them will be:

$b'=\frac{2x}{2}=x$

The hypotenuse of each right triangle shown is 13 and the other legs are (x+7) and x, therefore you can apply the Pythagorean Theorem:

$13^2=x^2+(x+7)^2$

Simplify the expression:

$169=x^2+(x^{2}+2(x)(7)+7^2)\\169=x^{2}+x^{2}+14x+49\\0=2x^{2}+14x-120$

Use the quadratic formula, where:

$a=2\\b=14\\c=-120$

$x=\frac{-b\±\sqrt{b^2-4ac}}{2a}$

Then:

$x=\frac{-14\±\sqrt{14^2-4(2)(-120)}}{2+2}$

$x_1=5\\x_2=-12$

Choose the positive value, because lengths are not negative.

Substitute the value of x into the base 2x. Therefore, the answer is:

$b=2x=2(5)=10$

7 0

3 years ago

I’ll pay someone to help me with my math money good anybody wanna help?

Advocard [28]

Answer:

sure

Step-by-step explanation:

7 0

3 years ago

Bob and Alice have a mortgage for $73,280. If the mortgage is set at 7 percent for 30 years, how much is their monthly payment i

Zielflug [23.3K]

Hi there

First find the number of thousands on 73280
73,280÷1,000
=73.28
now find the monthly payment (6.75 per thousand) so
73.28×6.75
=494.64.....answer

Hope it helps

4 0

3 years ago

An area of 4 square yards is equal to 36 square feet. 10 square yards is equal to how many square feet? sq feet

lora16 [44]

Answer: 90 square feet

Step-by-step explanation:

5 0

3 years ago

a coin lands on heads 200 times. the relative frequency of heads is 0.4. how many times was the coin thrown?

Kazeer [188]

Answer:

The number of times coin thrown was 500.

Step-by-step explanation:

Given:

A coin lands on heads 200 times. the relative frequency of heads is 0.4.

Now, to find the times coin was thrown.

Let the number of times coin thrown was be $x.$

Relative frequency = 0.4.

Number of lands on heads = 200.

So, to get the number of times coin was thrown we put formula:

$Relative\ frequency=\frac{Number\ of\ lands\ on\ heads}{Number\ of\ times\ coin\ thrown}$

$0.4=\frac{200}{x}$

By cross multiplying we get:

$0.4x=200$

Dividing both sides by 0.4 we get:

$x=500.$

Therefore, the number of times coin thrown was 500.

7 0

3 years ago

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