Mathematics, 02.12.2019 23:31 brenda2512

What is the length of side ts?
2 is the square root of 6 units
6 is the square root of 6 units
24 units
8 units

What is the length of side ts? 2 is the square root of 6 units6 is the square root of 6

Answers: 2

Show answers

Answers

Answer from: amison64

In triangle TQS the length of the TS = $2\sqrt{6}$ units. Therefore the correct option is A).

Given :

RS = 12QR = 6TS = 3xTriangle TQS and triangle TRS are right angle triangles.

Solution :

In triangle TQS applying pythagorean theorem.

$\rm QS^2=TS^2+TQ^2$

$\rm 18^2 = (3x)^2+TQ^2$

$\rm TQ^2=324-9x^2$ ---- (1)

In triangle TRS applying pythagorean theorem.

$\rm TR^2+RS^2=TS^2$

$\rm TR^2+12^2=(3x)^2$

$\rm TR^2 = -144+9x^2$ ---- (2)

In triangle TRQ applying pythagorean theorem.

$\rm TQ^2=TR^2+QR^2$

$\rm TQ^2=TR^2+6^2$ --- (3)

Substitute the value of $\rm TQ^2\;and\;TR^2$ from equation (1) and (2) in equation (3)

324-9x^2=-144+9x^2+36

432=18x^2

x^2 = 24

$x=2\sqrt{6}$ units

In triangle TQS the length of the TS = $2\sqrt{6}$ units. Therefore the correct option is A).

For more information, refer the link given below

link

Answer from: maystrenko53

We know that

in the triangle TQS
applying the Pythagorean theorem
QS²=TS²+TQ²> TQ²=QS²-TS²> TQ²=18²-9x²> equation 1

in the triangle TRS
TS²=TR²+RS²> TR²=TS²-RS²> TR²=9x²-144> equation 2

in the triangle QTR
TQ²=TR²+36> equation 3

I substitute 1 and 2 in 3
18²-9x²=9x²-144+36> 18x²-432=0> x²=24> x=√24
x=2√6
TS=3*x> 3*2√6> 6√6
TS=6√6 units

the answer is
TS=6√6 units
6 is the square root of 6 units

Answer from: Quest

step-by-step explanation:

through just a quick inspection, one can see that the graph of this cubing function starts in quadrant iii and ends in quadrant i. when x = 0, y = 3, so the y-intercept is (0, 3).

if graphs are part of the problem statement, share them. .

Answer from: Quest

aloha~! my name is zalgo and i am here to you out on this amazing day. to answer your question, yes, nonzero numbers can have a greatest common factor and that would be 1. still don't get it? let me considering every number is divisible by 1 and hence every number has 1 as a factor of theirs. so, if 2 nonzero numbers didn't share any gcf (greatest common factor), they would still have a factor in common and that would be 1.

i hope that this ! : p

"stay and stay proud! " - zalgo

(by the way, do you mind marking me as brainliest? i'd greatly appreciate it! mahalo! x3)

Another question on Mathematics

Mathematics, 21.06.2019 16:50

An angle that measures between 90 and 180° is called a(,

Answers: 2

Answer

Mathematics, 21.06.2019 18:00

1. what expression would be the same as 6x+x+0 2. find the prime factorization of 60 3. write the expression for 6 + x in words.

Answers: 3

Answer

Mathematics, 21.06.2019 19:30

Prove the divisibility of the following numbers: 25^9 + 5^7 is divisible by 30.also, read as (25 to the power of 9) + (5 to the power of 7) is divisible by 30. blank x 30what is the blank? ( it should be expressed in exponent form)

Answers: 1

Answer

Mathematics, 21.06.2019 23:30

Select the correct answer from each drop-down menu. james needs to clock a minimum of 9 hours per day at work. the data set records his daily work hours, which vary between 9 hours and 12 hours, for a certain number of days. {9, 9.5, 10, 10.5, 10.5, 11, 11, 11.5, 11.5, 11.5, 12, 12}. the median number of hours james worked is . the skew of the distribution is

Answers: 3

Answer

You know the right answer?

What is the length of side ts?
2 is the square root of 6 units
6 is the square root of 6...

Questions