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2 years ago

A triangle has side lengths 1.5 inches, 2 inches, and 3 inches. Is the triangle a right triangle

Mathematics

1 answer:

Alexandra [31]2 years ago

7 0

No, for it to be a right triangle the last length would need to be 2.5 not 3

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Write (2 4) and (6 16) in the form y=mx+b

Lena [83]

Answer:

y = 3x-2

Step-by-step explanation:

We can find the slope using the formula

m = (y2-y1)/(x2-x1)

= (16-4)/(6-2)

=12/4

We then use the point slope form of a line

y-y1= m(x-x1)

y-4 = 3(x-2)

Distribute the 3

y-4= 3x-6

Add 4 to each side

y-4+4 = 3x-6+4

y = 3x-2

This is in slope intercept form

3 0

3 years ago

Nancy has nine books and she has read 8 total books Sally has two times more books the Nancy how many books does Sally have

ankoles [38]

Sally has eight-teen books.

7 0

3 years ago

Which of the following is another name for a proof by contradiction?

andrew-mc [135]

Answer:

C. Indirect Proof

Step-by-step explanation:

There are two methods of indirect proof: proof of the contrapositive and proof by contradiction.

3 0

3 years ago

A zip line is setup 150ft in the air, where a person can expect to zip line at a safe declining speed to the ground as they pass

hichkok12 [17]

Answer:

139 ft

Step-by-step explanation:

So the zip line forms a right triangle. The height of the triangle is 150 ft, and the opposite angle is 40°. The horizontal distance covered by the zip liner can be found with trigonometry, specifically with tangent.

tan 40° = 150 / x

x = 150 / tan 40°

x ≈ 179 feet

But this includes the 40 ft long body of water, so the amount of ground covered is:

179 ft - 40 ft = 139 ft

4 0

3 years ago

A motorboat travels 244 kilometers in 4 hours going upstream and 749 kilometers in 7 hours going downstream. What is the rate of

Kryger [21]

Answer:

Speed of Motorboat = 84 kmph

Speed of Current = 23 kmph

Step-by-step explanation:

Distance Equation is:

D = RT

Where

D is distance

R is rate

T is time

Downstream rate is rate of boat PLUS current

Upstream rate is rate of boat MINUS current

Let rate of boat be "x" and rate of current be "c".

From first statement, we can write:

244 = (x - c)(4)

From second statement, we can write:

749 = (x + c)(7)

The first equation becomes:

244 = 4x - 4c

The second equation becomes:

749 = 7x + 7c

Multiplying first equation by 7 , we have:

7 * [244 = 4x - 4c] = 1708 = 28x - 28c

Multiplying 2nd equation by 4, we have:

4 * [749 = 7x + 7c] = 2996 = 28x + 28c

Now we add up these equations (in bold):

1708 = 28x - 28c

2996 = 28x + 28c

----------------------------

4704 = 56x

x = 4704/56

x = 84

Now using this value and plugging in original equation, we can find "c":

244 = 4x - 4c

244 = 4(84) - 4c

244 = 336 - 4c

4c = 92

c = 92/4

c = 23

<u>Speed of Motorboat = 84 kmph</u>

<u>Speed of Current = 23 kmph</u>

6 0

3 years ago