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
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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 surface of the triangle count formula
A = b*h*1/2
A - area
b - base
c - height
The 1st triangle
A₁ = b₁*h = 6in * 8in *1/2= 24in²
The 2nd triangle
A₂ b₂*h = 10in * 8in*1/2 = 40in²
The total area of the two triangles is 24in² + 40in² = 64 square inches
Answer:
whole number or an integer.
Step-by-step explanation: hope this helps.
Answer:
1050
Step-by-step explanation:
There are 30 teachers.
1:35
Multiply each part of the ratio by 30.
1×30:35×30
30:1050
There are 1050 learners.
