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3 years ago

Could 16,30,31 be the side lengths of a right triangle? Explain why?

Mathematics

1 answer:

Vlad [161]3 years ago

4 0

Answer:

Step-by-step explanation:

Using the converse of Pythagoras' identity

If the longest side squared is equal to the sum of the squares of the other 2 sides then the triangle is right.

31² = 961

16² + 30² = 256 + 900 = 1156

Since 961 ≠ 1156 then the sides do not form a right triangle.

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What is the GCF of 48x4 and 44x5

zepelin [54]

The GCF would be : 4x^4

8 0

2 years ago

A train leaves Philadelphia at 2:00 PM. A second train leaves the same city in the same direction at 4:00 PM. The second train t

polet [3.4K]

Answer: First train speed shall be 42 mi/hr

Second train speed shall be 84 mi/hr

Yes it is the valid answer, it gets annoying when almost everyone enters the wrong answer for a good laugh. Either way, hope this helps! Have a spectacular day.

Step-by-step explanation:

What is the 1st train's head start in miles?

Let +s+ = the speed of the 1st train in mi/hr

From 2PM to 4PM is 2 hrs

+d%5B1%5D+=+s%2A2+

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

Let +d+ = distance the 2nd train travels until

it overtakes the 1st train

From 4PM to 6PM is 2 hrs

Start time when the 2nd train leaves

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

Equation for 1st train:

(1) +d+-+2s+=+s%2A2+

Equation for 2nd train:

(2) +d+=+%28+s%2B42+%29%2A2+

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

Substitute (2) into (1)

(1) +%28+s%2B42+%29%2A2+-+2s+=+s%2A2+

(1) +2s+%2B+84+-+2s+=+2s+

(1) +2s+=+84+

(1) +s+=+42+

and

+s%2B+42+=+42+%2B+42+

+s+%2B+42+=+84+

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

The 1st train's speed is 42 mi/hr

The 2nd train's speed is 84 mi/hr

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

check:

(2) +d+=+%28+s%2B42+%29%2A2+

(2) +d+=84%2A2+

(2) +d+=+168+

and

(1) +d+-+2s+=+s%2A2+

(1) +d+-+2%2A42+=+42%2A2+

(1) +d+=+84+%2B+84+

(1) +d+=+168+

8 0

2 years ago

1) what is the answer to<br><br> (5²-7) ₃ 3

valentinak56 [21]

Answer: 54

Explanation step by step: according to bidmas you must open the bracket first before any other thing. so the solution is 5×5-7×3

8 0

3 years ago

Read 2 more answers

I need help with this stupid question, my teacher got me confused when he kept talking about different things!

Art [367]

Answer:

2 5/8

Step-by-step explanation:

1 3/4 + 7/8

add the fractions together

look for the lcm bwt 4 and 8

1 6 + 7

____

= 13/8 = 1 5/8

1 + 1 5/8

= 2 5/8

6 0

2 years ago

During the cold winter months, a sheet of ice covers a lake near the Arctic Circle. At the beginning of spring, the ice starts t

Masja [62]

Answer: The ice sheet's thickness decrease every 6 weeks= 1.5 meters

Step-by-step explanation:

GIven: At the beginning of spring, the ice starts to melt. The variable sss models the ice sheet's thickness (in meters) t weeks after the beginning of spring. $s=-0.25t+4$

At t=0, $s=4$

So, Thickness of ice sheet at the beginning = 4 meters

Now at t= 6, we get

$s=-0.25(6)+4=-1.5+4=2.5$

Thickness of ice sheet after 6 weeks = 2.5 meters

Decrease in thickness = 4 meters - 2.5 meters = 1.5 meters

Hence, the ice sheet's thickness decrease every 6 weeks= 1.5 meters

3 0

3 years ago