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bearhunter [10]
3 years ago
15

A triangle has sides with lengths of 8 miles, 12 miles, and 15 miles. Is it a right triangle?

Mathematics
1 answer:
ohaa [14]3 years ago
6 0

Answer:

answer is no, not a right triangle

Step-by-step explanation:

if it is a right triangle then the sum of the square of the two smaller legs will equal the square of the longest leg

does 8² + 12² equal 15²?

64 + 144 = 225

208 ≠ 225

answer is no, not a right triangle

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Factorise <br> a) 4p²-81<br> b) x²-13x+36
taurus [48]

Answer:

A = (2p + 9) (2p - 9)

B = (x - 9) (x - 4)

Step-by-step explanation:

For A : Rewrite 4p^2 as (2p)^2.

(2p)^2−81

Rewrite 81 as 9^2.

(2p)^2−9^2

Since both terms are perfect squares, factor using the difference of squares formula, a^2 − b^2 = ( a + b ) ( a − b ) where a = 2p and b = 9 .

(2p + 9) (2p − 9)

For B : Consider the form x^2 + bx + c . Find a pair of integers whose product is c and whose sum is b . In this case, whose product is 36 and whose sum is − 13 .

-9, -4

(x - 9) (x - 4)

I hope this helps.

7 0
3 years ago
Calculate the pay for the following day of a weekly time card given a wage of $14/hr
xxTIMURxx [149]

Answer: $122.50

Step-by-step explanation:

We know the difference between the time the employee clocked in and clocked out = 1200 - 0800 = 4 hours

The next clock in and out = 17:30 - 12:45 = 4 hours, 45 minutes.

These times combined = 8 hours, 45 minutes

\frac{45}{60} minutes in an hour = \frac{3}{4} of an hour.

The total time worked was 8 \frac{3}{4} hours.

Multiply 8.75 × $14 = $122.50

I am not a professional, simply using prior knowledge.

Note- it would mean the world to me if you could mark me brainliest!

8 0
3 years ago
A train leaves at 15.42 and arrives at its destination at 16.56.
Tasya [4]

Answer:

90/1.5=60 mph

Step-by-step explanation:

I assume that the train is traveling at constant speed.

Between 12:45 pm and 2:15 pm the train has traveled 180-90=90 miles. So 90 miles in 1.5 hours which means that its speed is 90/1.5=60 mph

5 0
3 years ago
Read 2 more answers
If X=2 Y=3 then, xy^2
Agata [3.3K]

Answer:

18

Step-by-step explanation:

2 x 3^2

2 x 9

18

3 0
3 years ago
Read 2 more answers
How much pure acid should be mixed with 6 gallons of a 20% acid solution in order to get a 90% acid solution?
beks73 [17]
So, how much acid is there in 6 gallons?  well is 20% acid or (20/100), so the amount of acid in it just (20/100) * 6 or 1.2, the rest is say water.

now, if we want a 90% solution, and say we add "y" gallons, how much acid is in it?  well (90/100) * y, or 0.9y.

now let's add "x" gallons of pure acid, now, pure acid is just pure acid, so is 100% acid, how much acid is there in it?  (100/100) * x, or 1x or just x.

we know whatever "x" and "y" amounts are, they -> x + 6 = y

and we also know that x + 1.2 = 0.9y

\bf \begin{array}{lccclll}&#10;&\stackrel{gallons}{acid}&\stackrel{acid~\%}{quantity}&\stackrel{acid~gallons}{quantity}\\&#10;&------&------&------\\&#10;\textit{pure acid}&x&1.00&x\\&#10;\textit{20\% sol'n}&6&0.20&1.2\\&#10;------&------&------&------\\\&#10;mixture&y&0.90&0.9y&#10;\end{array}&#10;\\\\\\&#10;\begin{cases}&#10;x+6=\boxed{y}\\&#10;x+1.2=0.9y\\&#10;----------\\&#10;x+1.2=0.9\left( \boxed{x+6} \right)&#10;\end{cases}&#10;\\\\\\&#10;x+1.2=0.9x+5.4\implies x-0.9x=5.4-1.2\implies 0.1x=4.2&#10;\\\\\\&#10;x=\cfrac{4.2}{0.1}\implies x=\stackrel{gallons}{42}
3 0
3 years ago
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