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Anna35 [415]
3 years ago
7

Suppose someone tells you that she has a triangle with sides having lengths 3.5, 4.5 and 5.5 yards. Is this a right triangle?

Mathematics
2 answers:
Katarina [22]3 years ago
5 0
You can solve by using Pythagoras theorem.
Let the longest side be c.
a^2 + b^2 = c^2
If this holds, it is a right angle.

But, 3.5^2 + 4.5^2 is not equal to 5.5^2.
Sloan [31]3 years ago
3 0
I don't know.
Let's find out.
If it IS a right triangle, then . . .

    (square of the shortest side)
plus
    (square of the medium side)
adds up to
    
(square of the longest side).

Shortest side = 3.5 .  Its square is  (3.5)²  =  12.25
Medium side = 4.5 .  Its square is  (4.5)²   =  20.25
(square of the shortest side) + (square of the medium side) =  32.5 .

Longest side = 5.5 .  Its square is  (5.5)²   =  30.25 .

  30.25  is NOT equal to  32.5 .

  So this is NOT a right triangle.

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None of the above is the correct choice
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3 years ago
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The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 50, 60,72,... Find the 8th term.
Vadim26 [7]

Answer:

179.159

Step-by-step explanation:

Given the sequence :

50, 60, 72,..

The sequence given is a geometric sequence :

For a geometric sequence ;

ar^(n - 1)

a = first term

r = a2 / a1 = 60 / 50 = 1.2

The 8th term ; n =8

a8 = ar^(n - 1)

a8 = 50*1.2^(8 - 1)

a8 = 50*1.2^7

a8 = 50*3.5831808

a8 = 179.15904

a8 = 179.159 (nearest thousandth )

8 0
3 years ago
A circular swimming pool has a radius of 28 ft. There is a path all the way around the pool that is 4 ft wide. A fence is going
rewona [7]

Answer:

Step-by-step explanation:

4 0
3 years ago
What is the potential energy of a 500-N pole-vaulter when she is 4 m above the ground?
Novosadov [1.4K]

Answer:

2000J

Step-by-step explanation:

mg=500

h(height)=4

500 x 4 = 2000J

7 0
2 years ago
Write and solve an equation to find the unknown angle.
Julli [10]
There's many properties you can use to find an unknown angle.

There are too many to lists but one core example would be an isosceles triangle that has two adjacent sides and angles.

Let's say that the sides of an isosceles triangle are any number "x"

now since two sides of the triangle are the same we can add these two x's together.

x+x = 2x

now the other side of the triangle can be anything you like. We can call it 4x for this example.

now if we add them all together we'll get 4x+2x=6x

Now since the angles of a triangle add up to 180 degrees
we can equate 6x=180 leaving x to be 30.

Now since x belongs to both sides of the triangle we can say that both angles are congruent as well because the two sides of the triangle are congruent. This is a known triangle law.

Since both angles are now 30 degrees this will leave us with 2(30) = 60

now if we subtract 180 - 60 we'll get 120 which is the remainder of the 3rd angle of the side that corresponds with 4x.
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5 0
3 years ago
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