Answer:
- EF = 4.1
- DE = 9.1
- m∠F = 66°
Step-by-step explanation:
The hypotenuse and one acute angle are given. The relevant relations are ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
__
For the given triangle, these tell us ...
sin(24°) = EF/DF = EF/10
EF = 10·sin(24°) ≈ 4.1
and ...
cos(24°) = DE/DF = DE/10
DE = 10·cos(24°) ≈ 9.1
The remaining acute angle is the complement of the given one:
F = 90° -D = 90° -24°
∠F = 66°
Answer:
Step-by-step explanation:
In finding the COMMON DIFFERENCE, subtract the 2nd term and the first term.
a1 = -4
a2 = -2
Let "d" representing the COMMON DIFFERENCE.
d = -2 -(-4)
d = -2 + 4
d = 2
ANSWER:
THE COMMON DIFFERENCE OF THIS SEQUENCE IS 2
Answer:
A
Step-by-step explanation:
The answer would look something like this:
There could also have a simplified version.
I hope this helps.
Answer: $112.50 ; $4612.5
Step-by-step explanation:
a) Determine how much interest Christine paid at the end of 1 year.
This will be:
Simple interest = PRT/100
where
P = principal = $4500
R = rate = 2.5%
T = time = 1 year
Interest = (4500 × 2.5 × 1)/100
= 11250/100
= $112.50
b) Determine the total amount Christine will repay the bank at the end of 1 year.
Total amount = Principal + Interest
= $4500 + $112.50
= $4612.5
