All categories

3 years ago

No links or anything

Mathematics

1 answer:

Soloha48 [4]3 years ago

6 0

Answer:

1. 38, 80, 89 and 4. 14, 15, 29

I don't know if there is supposed to be only one, but both of those do not form right triangles.

Step-by-step explanation:

Evaluate all of them and see if they meet the requirements of the Pythagorean Theorem, a² + b² = c².

1. 38, 80, 89

a² + b² = c²

38² + 80² = 89²

1444 + 6400 = 7921

7844 ≠ 7921.

This is an answer because it doesn't satisfy the Pythagorean Theorem.

2. 16, 63, 65

a² + b² = c²

16² + 63² = 65²

256 + 3969 = 4225

4225 = 4225

This isn't the answer because it satisfies the Pythagorean Theorem.

3. 36, 77, 85

a² + b² = c²

36² + 77² = 85²

1296 + 5929 = 7225

7225 = 7225

This isn't the answer because it satisfies the Pythagorean Theorem.

4. 14, 15, 29

a² + b² = c²

14² + 15² = 29²

196 + 225 = 841

421 ≠ 841

This is an answer because it does not satisfy the Pythagorean Theorem.

You might be interested in

This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the ex

velikii [3]

Answer:

The maximum value= 36

Minimum value = - 36

Step-by-step explanation:

Given that

f(x, y, z) = 8 x + 8 y + 4 z

h(x,y,z)=4 x² + 4 y² + 4 z² - 36

From Lagrange multipliers

Δf = λ Δh

Δf = < 8 ,8 , 4>

Δh = < 8 x ,8 y , 8 z>

Δf = λ Δh

< 8 ,8 , 4> = < 8 λ x ,8 λ y , 8 λ z>

8 = 8 λ x -------------1

8 = 8 λ y ---- ------2

4 = 8 λ z ----------------3

From equation 1 ,2 and 3

Now by putting the value of x,y and z in the following equation

4 x² + 4 y² + 4 z² = 36

$4\times \dfrac{1}{\lambda^2 }+4\times \dfrac{1}{\lambda^2 }+4\times \dfrac{1}{(2\lambda)^2 }=36$

$\dfrac{4}{\lambda^2 }+ \dfrac{4}{\lambda^2 }+ \dfrac{1}{\lambda^2 }=36$

So the value of λ is

$\lambda =\pm \dfrac{1}{2}$

When λ = 1/2

x = 1 / λ , y=1 / λ , z= 1 /2 λ

x= 2 , y = 2 , z=1

f(x, y, z) = 8 x + 8 y + 4 z

f(2, 2, 1) = 8 x 2 + 8 x 2 + 4 x 1

f(2, 2, 1) =36

When λ = - 1/2

x = 1 / λ , y=1 / λ , z= 1 /2 λ

x= - 2 , y = - 2 , z= - 1

f(x, y, z) = 8 x + 8 y + 4 z

f(-2, -2, -1) = 8 x (-2) + 8 x (-2) + 4 x (-1)

f(-2, -2, -1) = - 36

The maximum value= 36

Minimum value = - 36

7 0

3 years ago

Read 2 more answers

Helpppppppp me plzzzz

andrezito [222]

200.96 inches i think!!!

5 0

3 years ago

Read 2 more answers

Jorge earns $9,567 a month. Which number is $9,567 rounded to the nearest hundred?

Maksim231197 [3]

To find $9,567 rounded to the nearest hundred you must first find the hundreds place which is where 5 is then according to the number behind it you either round up or you keep 5 the same since the number behind 5 is 6 you round 5 up one which brings 5 to 6 now everything behind your new number is turned to 0. so your new amount would be $9,600

7 0

3 years ago

Simplify by combining like terms. -4a + b + 9 + a -b-3 plz help !

Sedaia [141]

Answer:

- 3a + 6

Step-by-step explanation:

subtract and add like items together like

- 4a + a = -3a

b-b= 0

and

9-3 = 6

so the answer is

-3a +6

3 0

3 years ago

Wind farms are a source of renewable energy found around the world. If a turbine generates 500kW in a 10m/s wind, how much power

Annette [7]

<span>Wind farms are composed of tens of wind mills that us electric generator to harness the power of the wind. The power that comes out of the electric generators should be proportional with the force or the wind which is also proportional to the speed of the wind. Considering that a 10 m/s generates 500 kW, than a 12 m/s wind should generate somewhere around 600 kW.</span>

4 0

3 years ago