Answer:
KL = 6.75cm
JL = 9.3cm
Step-by-step explanation:
SInce Angle DEF is similar to angle JKL.
Then;
DE/EF = JK/KL
Given
DE = 4cm
JK = 3cm
EF = 9cm
Substitute
4/9 = 3/KL
4KL = 27
KL = 27/4
KL = 6.75cm
Similarly
DF/EF = JL/KL
12.4cm/9 = JL/6.75
9JL = 12.4 * 6.75
9JL = 83.7
JL = 83.7/9
JL = 9.3cm
Answer:
sec y =
Step-by-step explanation:
Given
sin y = = ⇒ hypotenuse = 8
tan y = = ⇒ adjacent = t
Then
cos y = =
sec y = = =
You would have enough gas to go another 25 miles
We need to find the probability of getting 3 queens and 2 kings
In 52 cards, we have 4 queens and 4 kings
We need to select 3 queens from 4 queens
\[\frac{n!}{r!(n-r)!}\]
So different combinations of selecting 3 queens from 4 queens is 4C3
\[\frac{4!}{3!(4-3)!}\]
= 4
We need to select 2 kings from 4 kings
\[\frac{n!}{r!(n-r)!}\]
So different combinations of selecting 2 kings from 4 kings is 4C2
\[\frac{4!}{2!(4-2)!}\]
= 6
Total combination of selecting 5 cards from 52 cards = 52C5
\[\frac{52!}{5!(52-5)!}\]
= 2598960
Probability of getting 3 queens and 2 kings = 4C3 * 4C2 / 5C52
\[\frac{4*6}{2598960}\]
1/ 108290
4 -3 5 6
-6 -24 162 -1002
-----------------------------------
4 -27 167 -996
4x^2 - 27x + 167 remainder - 996