Finding the Angles of Triangle and Solving Algebraic Expressions (Math Problem Sample)
MATH ASSIGNMENT WITH SOLUTIONS AND EXPLANATIONS.source..
In the triangle, cm and cm. Given that the area of the triangle is
cm2, find the possible values of the angle.
Using the Area
Substitute the given values and simplify.
3654 = 54sinB54 Divide both sides by 54.
Therefore, sin B = 23
Angle B = 41.80 or 138.20 Final Answer
Find the exact value of, giving your answer in the form
Substitute the value of tan 300, sin 1350 and cos 2100
= 13 6 (12)+4 (-32) Simplify.
= 13 62+-432
= 13 62-23 Use distributive property.
= -2 + (66)(66) Rationalizing the denominator.
= -2 + 6636 Simplify
= -2 + 666
= -2+6 Final Answer
Show that for a small angle , measured in radians, .
Using the small angle approximations and ,
, using identities and
, cancel out
Simplify (36 + 4 . 27 ÷ 4 – 18) ÷ 5.
(36 + 4 . 27 ÷ 4 – 18) ÷ 5 = (36 + 108 ÷ 4 – 18) ÷ 5 Use the MDAS rule.
= (36 + 27 – 18) ÷ 5 Simplify.
= (63 – 18) ÷ 5
= (45) ÷ 5
= 9 Final Answer
Proper aerobic exercise involves exercising at a person’s correct training heart rate. To
find the correct training heart rate the following formulas are used.
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