The answer to your question is 6. Because the square root of 30= 5.47722557505 which is closet to 6
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Answer:
-1.5m + 4n is the equivalent expression
Step-by-step explanation:
To find the equivalent expression, we combine the like terms.
We are given the following expression:
m + 4n - 2.5m
Combining the like terms:
m - 2.5m + 4n
-1.5m + 4n is the equivalent expression
Answer:
m∠E = 60°
Step-by-step explanation:
The given information in the diagram are;
The shape of the drawing, ΔEDF = A right triangle
The length of the hypotenuse side opposite the right angle = 16·√46
The length of the leg adjacent to the reference angle ∠E = 8·√46
By trigonometric ratio, we have;
![\dfrac{Adjacent\ leg \ length}{Hypotenuse \ length} = cos\angle E](https://tex.z-dn.net/?f=%5Cdfrac%7BAdjacent%5C%20leg%20%5C%20length%7D%7BHypotenuse%20%5C%20length%7D%20%3D%20cos%5Cangle%20E)
Plugging in the values gives;
![cos\angle E = \dfrac{8 \cdot \sqrt{46} }{16\cdot \sqrt{46} } = \dfrac{1}{2}](https://tex.z-dn.net/?f=cos%5Cangle%20E%20%3D%20%5Cdfrac%7B8%20%5Ccdot%20%5Csqrt%7B46%7D%20%7D%7B16%5Ccdot%20%5Csqrt%7B46%7D%20%7D%20%3D%20%5Cdfrac%7B1%7D%7B2%7D)
∴ m∠E = arccos(1/2)
Using a calculator or from tables or an online trigonometric ratio tool, we have
arccos(1/2) = 60°
∴ m∠E = arccos(1/2) = 60°.
HOPE it helps!!!!!!!
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