B. 3 √3
The shortcuts for a 30 60 90 triangle is that the:
Hypotenuse is 2 times the short leg
The long leg is √3 times the short leg.
Making it 3 √3
Another way is by the Pythagorean Theorem.
a^2+b^2=c^2
3^2+b^2=6^2
9+b^2=36
Subtract 9 from both sides
b^2=27
Square root both sides
b=5.2 or the √27
√27 can be simplified more
An equation that equals to 27 that has a perfect square is 9*3
√9* √3
The perfect square of 9 equals to 3
So 3 √3
Answer:
Answer is 24
Step-by-step explanation:
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
Answer:
23
Step-by-step explanation:
3z + 2(z-1)
Let z=5
3*5 +2( 5-1)
15 +2(4)
15+8
23
Answer: See explanation
Step-by-step explanation:
Number of marbles = 400
Anthony sells 1/4 of the marbles to Jayveon. This will be:
= 1/4 × 400
= 100 marbles
Anthony gives 10% to Abdul. Abdul will have:
= 10% × 400
= 0.1 × 400
= 40 marbles
He gave 10 marbles to his little brother.
The number of marbles that Anthony has left will be:
= 400 - (100 + 40 + 10)
= 400 - 150
= 250 marbles
Answer:0.29
Step-by-step explanation:
An average of six cell phone thefts is reported in San Francisco per day. This means our mean value, u = 6
For poisson distribution,
P(x=r) = (e^-u×u^r)/r!
probability that four cell phones will be reported stolen tomorrow=
P(x=4)= (e^-6×6^4)/4!
= (0.00248×1296)/4×3×2×1
= 3.21408/24=
0.13392
P(x=5)= (e^-6×6^5)/5!
= (0.00248×7776)/5×4×3×2×1
= 19.28448/120
= 0.1607
probability that four or five cell phones will be reported stolen tomorrow
= P(x=4) + P(x=5)
= 0.13392 + 0.1607
= 0.294624
Approximately 0.29