You know the long leg<span> (the </span>side<span> across from the </span>60<span>-degree angle). Divide this </span>side<span> by the square root of 3 to </span>find<span> the short </span>side<span>. Double that figure to </span>find<span> the hypotenuse. </span>Finding<span> the other </span>sides<span> of a </span>30-60-90 triangle<span> when you know the hypotenuse.</span>
Answer:
<u>P(three tails) = 27/125 or 21.6%</u>
<u>P(two tails followed by one head) = 18/125 or 14.4%.</u>
Step-by-step explanation:
1. Let's review the information provided to us to answer the questions correctly:
Probability of getting a head when a biased coin is tossed = 2/5
therefore,
Probability of getting a tails when a biased coin is tossed = 3/5
2. Find the following probabilities and select the correct solution.
P(three tails) =
3/5 * 3/5 * 3/5 = 27/125 or 21.6%
P(two tails followed by one head) =
3/5 * 3/5 * 2/5 = 18/125 or 14.4%.
Answer:
a = 4,
b = 12
c = 10
d = 15
Step-by-step explanation:
Since the product of each column is equal, therefore,
b*5 = 60
b = 60 ÷ 5 = 12
c*6 = 60
c = 60 ÷ 6 = 10
Since the sum of each column are equal, therefore,
12 + 10 + a = 5 + 6 + d
22 + a = 11 + d
Think of a number you can add to 22, and another number you can add to 11, which will make both sides equal. Add both numbers, whenmultiplied together should give you 60.
Factors of 60 are:
(a, d)
(1, 60) => 22 + a = 11 + d => 22+1 = 11+60 (incorrect)
(2, 30) => 22 + a = 11 + d => 22+2 = 11+30 (incorrect)
(3, 20) => 22 + a = 11 + d => 22+3 = 21+20 (incorrect)
(4, 15) => 22 + a = 11 + d => 22+4 = 11+15 => 26 = 26 [CORRECT]
(5, 12) => 22 + a = 11 + d => 22+5 = 11+12 (incorrect)
(6, 10) => 22 + a = 11 + d => 22+6 = 11+10 (incorrect)
Therefore,
a = 4,
d = 15
Answer:
4. < ACB = 90° and < CBA = 52°
5. <SPQ+ <SRQ = 180°
so, <SPQ= < QRT = 100°
Answer:
-3/8= -6/16=-9/24=-12/32=-15/40....
3/8=6/16=9/24=12/32=15/40=18/48=21/56.....
