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alex41 [277]
3 years ago
13

Do the lengths a=9, b=12, c=15 form a right triangle?

Mathematics
2 answers:
GuDViN [60]3 years ago
6 0

Answer:

you need a ruler to measure to draw by using the measurements or number giving to you

aleksley [76]3 years ago
5 0

Answer:

Yes

Step-by-step explanation:

With a right angle triangle, there are 3 sides.

There is the hypotenuse, the longest side, which is always opposite to the right-angle.

There are then the two other sides, which are shorter.

By what is known as the pythagorean principle, the square of the hypotenuse (meaning its length squared) will equate to the sum of the squares of the other two sides.

So if we say the hypotenuse is, say, "c" cm long, and the other two sides are "a"  and "b" cm long, then we can write the pythagorean principle as an equation like so:

c² = a² + b²

Now that we have established this, we can answer the question asked.

the longest side is c, which is 15 cm, so this is the hypotenuse.

So, a and b are the other two sides.

Now we just plug the numbers into the equation, and see if the numbers on either side are the same:

(15)² = (9)² + (12)²

Well,

(15)² = 225,

(9)² = 81,

And,

(12)² = 144

So, Is:

225 = 144 + 81

Indeed, it is, therefore the triangle with sides of length 9, 12 and 15 cm is a right-angle triangle.

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Aleonysh [2.5K]
Hey there!

To convert the repeating nonterminating decimal into a fraction, you would ROUND.

Round 0.1515 into 0.2

Now, make a fraction.

2/10, which can be simplified into 1/5.

I hope this helps!
3 0
3 years ago
The markup of an MP3 player is $207.20. The markup rate is 60%. What is the cost?
ch4aika [34]

If markup is 60% of the cost, you have

... markup = 0.60×cost

... markup/0.60 = cost

... $207.20/0.60 = cost = $345.33

_____

If markup is 60% of the selling price, the other 40% is the cost. So, the cost is 40/60 = 2/3 of the markup.

... cost = (2/3)×markup = (2/3)×$207.20

... cost = $138.13

_____

Markup can be specified in terms of either selling price or cost. Those are the usual reference values; there could be others. When only the percentage is given, you don't have enough information to work the problem. You need to know what it is a percentage of. (Example problems in your text may tell you the expected interpretation.)

5 0
3 years ago
Ken filled out this information on the back of his bank statement. Find Ken’s revised statement balance. Does his account reconc
Kitty [74]

Answer:$189.95, no

Step-by-step explanation:

I got the answer correct

6 0
2 years ago
A train to New York city leaves a station every 7 minutes. Another train to Boston leaves the station every 6 minutes. Suppose i
Virty [35]

Answer:

7:12 a.m

Step-by-step explanation:

Given that:

Train to New York city leaves station every 7 minutes

Train to Boston leaves station every 6 minutes

Current time = 6:30 a.m

Time both will leave station together is obtained by finding the least common multiple of 6 and 7

Multiples of ;

6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60,...

7 = 7, 14, 21, 28, 35, 42, 49, 56, 63, 70,...

The least common multiple of 6 and 7 is 42.

Hence, both trains will leave the station together after 42 minutes ;

Current time + 42 minutes

6:30 a.m+ 42 minutes = 7:12 a.m

7 0
3 years ago
Part ion even know of the hardest test
ladessa [460]

Given:

The equation of a line is:

y=-\dfrac{5}{7}x+2

A line passes through the point (-5,-3) and perpendicular to the given line.

To find:

The equation of the line.

Solution:

Slope intercept form of a line is:

y=mx+b                 ...(i)

Where, m is the slope and b is the y-intercept.

We have,

y=-\dfrac{5}{7}x+2          ...(ii)

On comparing (i) and (ii), we get

m=-\dfrac{5}{7}

We know that the product of slopes of two perpendicular lines is always -1.

m_1\times m_2=-1

-\dfrac{5}{7}\times m_2=-1

m_2=\dfrac{7}{5}

Slope of the required line is \dfrac{7}{5} and it passes through the point (-5,-3). So, the equation of the line is:

y-y_1=m_2(x-x_1)

y-(-3)=\dfrac{7}{5}(x-(-5))

y+3=\dfrac{7}{5}(x+5)

Using distributive property, we get

y+3=\dfrac{7}{5}(x)+\dfrac{7}{5}(5)

y+3=\dfrac{7}{5}x+7

y=\dfrac{7}{5}x+7-3

y=\dfrac{7}{5}x+4

Therefore, the equation of the line is y=\dfrac{7}{5}x+4. Hence, option A is correct.

4 0
3 years ago
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