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EleoNora [17]
3 years ago
10

If the hypotenuse of a right triangle is 2 sqrt 3 units long and one legs is sqrt 3 units long, how long is the other leg?

Mathematics
1 answer:
allochka39001 [22]3 years ago
4 0
Theorem of Pythagoras: a²+b²=c², where a, b is legs and c is hypotenuse.

We've got one leg known, let it be a=sqrt 3,
and the hypotenuse - c=2sqrt3


Putting these into the theorem, we get an equation: (sqrt3)²+b²=(2sqrt3)² . Solving it, we get:

3+b²=4*3
3+b²=12
b²=9

This equation has two possible roots: b=3 and b=-3. Since this is a triangle, there can't be a side with a negative value => b=3.

The answer is a. 3
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Can I have some help please<br> And please make sure it's right
ElenaW [278]

Answer: OPTION C.

Step-by-step explanation:

According to the Quotient of powers Property, if you divide two numbers whose base is the same, you must rewrite the base and subtract the exponents. Observe:

\frac{a^m}{a^n}=a^{(m-n)}

Notice that "a" is the base and "m" and "n" are the exponents.

Therefore, knowing this property, you can solve the exercise.

Given the following expression:

\frac{3^{15}}{3^3}

You can notice that the base 3 is in the numerator and in the denominator, then you must  apply the Quotient of powers Property and subtract the exponents.

You get that the result is:

=3^{(15-3)}=3^{12}

6 0
3 years ago
(-9)(x) =<br> x2+x-4<br> x2 + x + 4<br> * x2 – X+6<br> O x2 + x + 6
PIT_PIT [208]

Answer:

if you are solving for o it is −x2−11x−6

                                                   6x2

if you are solving for x it is im not sure sorry  

Step-by-step explanation:

−9x=x2+x−4x2+x+4x2−x+6ox2+x+6

Step 1: Flip the equation.

6ox2+x2+2x+6=−9x

Step 2: Add -x^2 to both sides.

6ox2+x2+2x+6+−x2=−9x+−x2

6ox2+2x+6=−x2−9x

Step 3: Add -2x to both sides.

6ox2+2x+6+−2x=−x2−9x+−2x

6ox2+6=−x2−11x

Step 4: Add -6 to both sides.

6ox2+6+−6=−x2−11x+−6

6ox2=−x2−11x−6

Step 5: Divide both sides by 6x^2.

6ox2                −x2−11x−6

6x2                      6x2

Answer:

o= −x2−11x−6

          6x2

       

8 0
2 years ago
Brainiest to whoever answers correctly
Arada [10]

Answer:

10 days

Step-by-step explanation:

If 10 workers are working 2 hours a day, then that's 20 hours a day. That times the 5 days it took is 100 hours to finish the repair. SO the 2 workers working 5 hours each is 10 hours a day. To get the necessary 100 hours at that pace, they work 10 days.

4 0
2 years ago
A marketing firm is studying consumer preferences for winter fashions. From a population of women aged 18 to 21 years, a random
sergeinik [125]

Answer:

we say the number of samples is 4

Step-by-step explanation:

Given data

sample = 100

total sample conduct = 4 time

to find out

What is the number of samples

solution

we know that sample size for each month is 100

4 time sample taken January, march, June and September.

so that no of people sample is = 4 × 100 = 400

so that for number is sample is 400 /100

so we say the number of samples is 4

4 0
3 years ago
How do you do ordered pairs
nika2105 [10]
Identify the x-value in the ordered pair and plug it into the equation. When you simplify, if the y-value you get is the same as the y-value in the ordered pair, then that ordered pair is indeed a solution to the equation.
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