Mathematics, 22.08.2019 12:00 tonimgreen17p6vqjq

Height of a triangle with base 5m and area 20m2

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Since the "base of a triangular sail is 5m shorter than its height", we have the equality

Start with the formula for the area of a triangle

Plug in , , and

Multiply both sides by 2

Distribute

Subtract 36 from both sides

Factor the right side (note: if you need help with factoring, check out this solver)

Now set each factor equal to zero:
or

or  Now solve for x in each case

So our possible answers are

or

However, since a negative height doesn't make sense, our only solution is

So the height is 9 m

Now subtract 5 from the height to get the base

So the base is 4 m

Check:

Start with the formula for the area of a triangle

Plug in , , and

Multiply

Divide. Since the two sides of the equation are equal, this verifies our answer.

Answer from: melissalopez12

If you have a triangle with a base of 5m and an area of 20m2, to find the height begin with the formula of the area of a triangle.

A=1/2bh

Then, plug in your known numbers

20m2=1/2h(5m)

What I do next, is I work backwards by dividing the are by 1/2, which equals 40. All that is left to do, is divide this number, 40, by 5 to find the height.

40/5=8

Therefore, the height of the triangle is 8m

Answer from: Quest

The first one, i believe, would be correct. all the others have one thing in common, and that's that they have repeating numbers. in the second one, x and y have repeating 6's and 3's, and in the third, x and y have repeating 6's as well. in the last one, there are repeating 3's. the first one has no repeating numbers.
Which table shows a proportional relationship between x and y

Which table shows a proportional relationship between x and y

Answer from: Quest

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200. after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes 1800 - 6400 which gets you 11,600.

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