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°
The answer should be 32.25
Solution:
<u>Note that:</u>
- Area = Base x Height
- Perimeter = Sum of all sides
<u>Finding the area of the parallelogram:</u>
- Area = Base x Height
- => Area = 9.2 x 3.8
- => Area = 34.96 cm²
<u>Finding the perimeter of the parallelogram:</u>
- Perimeter = Sum of all sides
- => Perimeter = 2(4.1) + 2(9.2)
- => Perimeter = 26.6 cm
Correct option is D.
Answer:
8
Step-by-step explanation: