Answer:
DE ≈ 14.91
Step-by-step explanation:
Make use of the relationships between sides and angles in a right triangle. These are summarized by the mnemonic SOH CAH TOA:
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
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The side DE is opposite the angle 19°, so the sine or tangent relation will be involved. The sine relation requires you know hypotenuse EF. The tangent relation requires you know adjacent side DF.
The only common side between triangles CDF and DEF is side DF. That side is opposite the given 61° angle. The given side length (CF = 24) is adjacent to the 61° angle.
This means you have enough information to use these relations:
tan(61°) = DF/CF = DF/24
DF = 24·tan(61°)
and
tan(19°) = DE/DF
DE = DF·tan(19°) = (24·tan(61°))·tan(19°) . . . . . use DF from above
DE ≈ 24(1.804048)(0.344328) ≈ 14.908
The length of DE is about 14.91.
Answer:
3
Step-by-step explanation:
You just do
3x=x+4
subtract x from both sides
2x=4
divide 2 from both sides
x=2
y=2+4
y=6
(x,y)= (2,6)
Answer: Your answer is C
Step-by-step explanation:
Answer: r = 1/2
Next three terms = 1/2, 1/4 and 1/8.
Step-by-step explanation:
This is a geometric progression and the common ratio will be calculated as the second term divided by the first term. This will be:
= 4/8.
= 1/2
The next three terms will then be:
1 × 1/2 = 1/2
1/2 × 1/2 = 1/4
1/4 × 1/2 = 1/8
Therefore, the next three terms are 1/2, 1/4 and 1/8.
