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:
A (3, 1/2) B (-3/2, -7/4) C (7/5, 9/2)
Just a helpful tip for next time you need to graph something, you can look up "Graph Generator" and click on one of the first couple links and then you can put in your points. It makes it easier on the brain to be able to see and understand an accurate, and clean graph with the points on it.
Her profit was 126$ because she spent 24$ on her materials and then charged 5$ per 2 so you get 150$ then subtract the 24
(I think)
Answer:224 squared
Step-by-step explanation:
H
Answer:
the square rug will cover 0.33 square feet more
Step-by-step explanation:
The area of a rectangle is the product of its length and width. The area of the rectangular rug is ...
(4.8 ft)(8.2 ft) = 39.36 ft^2
Similarly, the area of the square rug is ...
(6.3 ft)(6.3 ft) = 39.69 ft^2
The square rug has the larger area by ...
39.69 -39.36 = 0.33 . . . square feet