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ludmilkaskok [199]
3 years ago
12

Does 20, 40, 30 form a pythagorean triple

Mathematics
1 answer:
Tatiana [17]3 years ago
6 0

Answer:

Step-by-step explanation:

If it is a Pythagorean Triple the hypotenuse and the legs of a right triangle will all be integer values where

c^2=a^2+b^2

In this case, this isn’t even a right triangle as

20^2+30^2=40^2

400+900=1600

1300!=1600

because 1300 does not equal 1600 this is not a Pythagorean Triple.

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Y=1/2x+3<br> -x+27=-6 <br><br> solve using substitution
Nat2105 [25]

Answer:

y= 19.5    x=33

Step-by-step explanation:

-x + 27= -6

(subtract 27 on both sides)

-x= -33

(divide by negative 1 on both sides)

x= 33

(substitute x into the first equation)

y= 1/2x + 3

y= 1/2(33) +3

y= 16.5 +3

y= 19.5

hope this helps :))

3 0
3 years ago
A ball is thrown straight out at 80 feet per second from an upstairs window that's 15 feet off the ground. Find the ball's horiz
Alex73 [517]

Answer:

Step-by-step explanation:

In order to find the horizontal distance the ball travels, we need to know first how long it took to hit the ground. We will find that time in the y-dimension, and then use that time in the x-dimension, which is the dimension in question when we talk about horizontal distance. Here's what we know in the y-dimension:

a = -32 ft/s/s

v₀ = 0 (since the ball is being thrown straight out the window, the angle is 0 degrees, which translates to no upwards velocity at all)

Δx = -15 feet (negative because the ball lands 15 feet below the point from which it drops)

t = ?? sec.

The equation we will use is the one for displacement:

Δx = v_0t+\frac{1}{2}at^2 and filling in:

-15=(0)t+\frac{1}{2}(-32)t^2 which simplifies down to

-15=-16t^2 so

t=\sqrt{\frac{-15}{-16} } so

t = .968 sec (That is not the correct number of sig fig's but if I use the correct number, the answer doesn't come out to be one of the choices given. So I deviate from the rules a bit here out of necessity.)

Now we use that time in the x-dimension. Here's what we know in that dimension specifically:

a = 0 (acceleration in this dimension is always 0)

v₀ = 80 ft/sec

t = .968 sec

Δx = ?? feet

We use the equation for displacement again, and filling in what we know in this dimension:

Δx = (80)(.968) +(0)(.968)^2 and of course the portion of that after the plus sign goes to 0, leaving us with simply:

Δx = (80)(.968)

Δx = 77.46 feet

5 0
3 years ago
A fruit stand has 28 apples, 20 oranges, and 12 pears. What is the ratio of apples to the total pieces of fruit?
ruslelena [56]
Data:
Apples = 28
Oranges = 20
Pears = 12

<span>What is the ratio of apples to the total pieces of fruit?
Solving:
</span>\frac{apples}{apples+oranges+pears} =  \frac{28}{28+20+12} =  \frac{28}{60} \frac{\div4}{\div4} \to\:\boxed{\boxed{ratio = \frac{7}{15}}}\end{array}}\qquad\quad\checkmark<span>
</span>
5 0
3 years ago
Lf oil costs $95 per barrel and $1 =R8. How much does a barrel cost in rands?.​
Elan Coil [88]

Answer:

R760

Step-by-step explanation:

If $1 is equivalent to R8 and the total oil costs $95 you must multiply 8x95. This leaves you with an answer of R760

7 0
3 years ago
The ordered pair (3,9) is a solution to the system of
nadya68 [22]

Answer:

(2,7) is not a solution to the given system of equations.

Step-by-step explanation:

Given system of equation is:

2x + 3 = y

2x + y = 15

To check whether (2,7) is solution to this system or not, we will put x=2 and y=7 in both equations.

Putting x=2 and y=7 in Eqn 1

2(2) + 3 = 7

4 + 3 = 7

7 = 7

Thus the ordered pair satisfies the equation

Putting x=2 and y=7 in Eqn 2

2(2) + 7 = 15

4 + 7 = 15

11 ≠ 15

The ordered pair do not satisfy the second equation.

Hence,

(2,7) is not a solution to the given system of equations.

8 0
3 years ago
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