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3 years ago

I need help with pythagoras’ theorem

Mathematics

1 answer:

fomenos3 years ago

4 0

Answer:

Pythagoras’ theorem is a way to find a side or hypothesis when you have 2 sides.

The formula is: a^2 + b^2 = c^2

a and b are sides

c is the hypothesis

Ex: A triangle has a leg that is 5 inches and a leg that is 7 inches. Find the hypothesis using Pythagoras' theorem.

A leg is another way of saying a side.

5^2 + 7^2 = c^2

25 + 49 = x^2

sqrt(74) = sqrt(x^2)

sqrt(74) inches = hypothesis

Ex: A triangle has a leg that is 9 feet and a hypothesis that is 25 feet. Find the other leg using Pythagoras' theorem.

9^2 + b^2 = 25^2

81 + b^2 - 81 = 625 - 81

sqrt(b^2) = sqrt(544)

b = sqrt(554)

Do you understand more?

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A tiny but horrible alien is standing at the top of the Eiffel Tower (which is 324324324 meters tall) and threatening to destroy

DedPeter [7]

Answer:

A tiny but horrible alien is standing at the top of the Eiffel Tower (which is 324 meters tall) and threatening to destroy the city of Paris! A Men In Black agent is standing at ground level, 54 meters across the Eiffel square, aiming his laser gun at the alien. At what angle, in degrees, should the agent shoot his laser gun? Round your final answer to the nearest tenth

The agent shoot his laser gun at 80.5 degree.

Step-by-step explanation:

Given:

Height at which the horrible alien is standing = 324 m

Distance from the (tower) where the agent is = 54 m

According to the question:

Men In Black agent is aiming his laser gun to shoot the horrible alien.

Let the angle at which the agent shoot his gun be " Ф "

As from the situated depicted we can draw a right angled triangle.

Using trigonometric ratios:

tan (Ф) = opposite/ adjacent

In triangle OPQ .

The adjacent side = 54 m

The opposite side = 324 m

⇒ Plugging the values.

⇒ $tan(\phi) = \frac{opposite}{hypotenuse}$

⇒ $tan(\phi) = \frac{324}{54}$

⇒ $(\phi) = tan^-^1(\frac{324}{54})$

⇒ $\phi=80.53$

Nearest tenth it is 80.5 degrees.

So,

Men In Black must shoot the laser gun at an angle of 80.5 degrees.

7 0

3 years ago

In the function y = a(x – h)2 + k

coldgirl [10]

Answer:

h is the horizontal shift

Step-by-step explanation:

y = a(x – h)^2 + k

This is the equation for a parabola in vertex form

The vertex is ( h,k) and it is shifted from (0,0)

h is the horizontal shift and k is the vertical shift

8 0

3 years ago

Read 2 more answers

Find the number of permutations in the word fission 1020 1500 1260 2400

irina [24]

There are 7 letters in fission, which we'll use as a factorial in the numerator. Of those 7 letters, there are two I's and two S's. To account for these repeating letters, we'll use the factorials of how many times the letters repeat and plug them into the denominator.

The factorial of 7 should be your numerator, and two factorials of 2 should be your denominator:

$\frac{7!}{2! \times 2!} = \frac{5040}{2 \times 2} = \frac{5040}{4} = 1260$

There are 1260 different permutations of the word fission.

5 0

3 years ago

A line with a slope of 2 passes through the point (3,9).

Licemer1 [7]

Answer:

y-9=2(x-3)

Step-by-step explanation:

The point-slope formula is: y-y1=m(x-x1)

y1 and x1 is where you plug in the coordinate and m is the slope.

y1 is the second number of the coordinate (x, y)

So, y1 is 9 in this case

x1 is the first number of the coordinate (x, y)