Hello! So, you have 8 flowers. 2 are purple, 2 are red, and 4 are pink. That means, there are 4/8 or 1/2 Chance that the first flower to bloom will be pink. The probability is 1/2.
We know that
in the triangle TQS
<span>applying the Pythagorean theorem
QS</span>²=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
<span>I substitute 1 and 2 in 3
</span>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
<span>6 is the square root of 6 units</span>
Answer:
x<3 AND x>2
Step-by-step explanation:
First, 4x-4<8. Adding 4 to both sides, 4x<12, and dividing by 4, x<3.
Next, 9x+5>23. Subtracting 5 from both sides, 9x>18, and dividing by 9, x>2.
Therefore, x<3 AND x>2.
Answer:
B
Step-by-step explanation:
Using the exact values
cos150° = - cos30° = - 
sin150° = sin30° = 
Given
z = 4(cos150° + isin150° ) , substitute values
= 4(- + i )
= - 2
+ 2i , that is
(- 2, 2 ) → B
Answer:
log₇t = ln t / ln 7
Step-by-step explanation:
Given:
log₇t
Computation:
We know that
logₐb = log b / log a
So,
log₇t = log t / log 7
= log₇t = ln t / ln 7
