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dangina [55]
3 years ago
7

8. analyze the diagram below and complete the instructions that follow

Mathematics
1 answer:
34kurt3 years ago
8 0

Answer:

C. 3/5

Step-by-step explanation:

Sin of any angle is = perpendicular/ hypotenuse

In any right angle triangle, with side a and b containing right angles and h having hypotenuse, using Pythagoras theorem

h^2 = a^2 + b^2

___________________________________________

In triangle NOM

ON = 4,

NM = 3

lets find OM

using Pythagoras theorem

OM^2 = ON^2 + NM^2\\=> OM^2 = 4^2 + 3^2\\=>OM^2 =16 + 9 = 25\\=> \sqrt{OM^2}  = \sqrt{25} \\=> OM = 5

Thus, OM = 5

sin angle NOM = perpendicular/ hypotenuse = NM/OM = 3/5

sin angle NOM = 3/5

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AC=36cm, and BC=27cm. Verify that DE\\AB.
emmasim [6.3K]

Answer:

\overline {DE} \parallel \overline{AB} because \frac{EC}{DC} = \frac{AC}{BC}.

Step-by-step explanation:

According to the Theorem of Thales and definition of proportionality, \overline {DE} \parallel \overline{AB} if and only if \frac{EC}{DC} = \frac{AC}{BC}. If we know that EC = 15\,cm, DC = 20\,cm, BC = 36\,cm and AC = 27\,cm, then we have the following result:

\frac{15\,cm}{20\,cm} = \frac{27\,cm}{36\,cm}

\frac{3}{4} = \frac{3}{4}

Hence, \overline {DE} \parallel \overline{AB}.

4 0
3 years ago
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gregori [183]

Answer:

the answer is zero

56 + (-56)

8 0
3 years ago
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qaws [65]

n^{16} and 9 are the squares of, respectively, n^8 and 3.

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we have

n^{16}-9=(n^8+3)(n^8-3)

4 0
3 years ago
How many different situations arise when five coins are thrown into the air?
svet-max [94.6K]
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4 0
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What is the solution to the equation -√(15+x)=-3?
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7 0
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