What’s is the value for X+8=12
2 answers:
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Answer: Elizabeth and Manuel have a distance of 4 meters between them.
Step-by-step explanation: Please refer to the picture attached.
From the information given, Elizabeth is directly behind Hannah and directly left of Manuel. That means we have three points which are HEM, that is, we now have triangle HEM. The longest side (hypotenuse) which is the distance between Hannah and Manuel is given as 5 meters while the other side the distance between Hannah and Elizabeth is given as 3 meters.
We shall apply the pythagoras theorem in solving for the unknown side, EM.
The Pythagoras theorem states thus;
AC² = AB² + BC²
Where AC is the hypotenuse, and AB and BC are the other two sides.
Substituting for the known values, we now have;
5² = 3² + EM²
25 = 9 + EM²
Subtract 9 from both sides of the equation
16 = EM²
Add the square root sign to both sides of the equation
√16 = √EM²
4 = EM
Therefore the distance between Elizabeth and Manuel is 4 meters
Answer:
48
Step-by-step explanation:
the number of shirts are 3, number of pants 4, number of socks pairs 2 and 2 pairs of shoes.
first lets start with shirts and pants, number of unique combinations are,
(for each shirt there are 4 different pant combinations) =
=12
similiarly for each shirt pant pair there are 2 shoes and 2 socks pairs.
thus, total number of combinations are=
= 48
Answer:
a. Ameribank-$15,157.50
b. Capital Two-$4,646.25
Step-by-step explanation:
a. Tad's savings is $15,000, we calculate his total amount at the end of the year for each bank:
#Ameribank
#Huffington( we use the effective rate to calculate the compound amount):
#Sixth-Third, Take 1 yrs=52 weeks:
#Hence, Ameribank is the best option as his money grows to $15,157.50 which is greater than all the remaining two options.
b. We use the compound interest formula to determine which bank gives the best option:
#Capital Two. r=3.75%, n=12,t=4
#J.C Morgan, t=2, r=3.55% n=12
#Silverman Slacks, n=12,t=3, r=3.65%
We compare the investment amounts after t years:
Hence, Capital two is the best option with an investment amount of $4,646.25