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mario62 [17]
2 years ago
14

What is the length of EF¯¯¯¯¯? Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth. ft

A horizontally-aligned scalene triangle D E F. Side D E is labeled as 6 feet. Side D F is labeled as 11 feet. Angle D is labeled as 40 degrees.

Mathematics
2 answers:
Dovator [93]2 years ago
4 0
When finding the third side of a scalene triangle, use Law of Cosine with its formula

c^2 = A^2+B^2 - 2AB(cosC)

Now, you just have to input all your data in the formula, 

c^2 = 6^2+11^2 - 2(6)(11)(cos40degrees)
c^2 = 36+121 - 2(6)(11)(cos40degrees)
c^2 = 36+121 - 2(6)(11)(0.77)
c^2 = 157 - 101.12
c^2 = 55.88
c = square root of 55.88
c = 7.48 ft

Length of EF is 7.48 ft
sergey [27]2 years ago
4 0

Answer:

7.5 ft

Proof in pic:

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Answer:

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Step-by-step explanation:

P and q are points on the line y=2-4X. complete the coordinates of P and Q, P(0, ) Q( ,0)

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The equation of a line is given by:

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The line of y = 2 - 4x is drawn by finding the corresponding values of y for x from -2 to 2 and plotting on a graph.

x:   -2      -1       0        1        2

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