The value of y from the given trig expression is pi/3 rad
<h3>Trigonometry identity</h3>These identities are expressed in terms of sine, cosine and tangent
Given the expression
Expand sin(x+y)
sin(x+y) = sinxcosy + cosxsiny
Compare both equations
cosy = 1/2
y = arccos(1/2)
y = 60 degrees
y = pi/3 rad
Hence the value of y from the given trig expression is pi/3 rad
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Answer:
B. Yes, they both mean the same thing. They can also both be represented by the expression y - 6.
Step-by-step explanation:
Given
Phrase 1: 6 less a number y
Phrase 2: 6 less than a number y
<em>Mathematically,</em>
Phrase 1 can be represented as follows;
<em>Mathematically,</em>
Phrase 2 can be represented as follows;
<em>Since the representation of both phrases are the same, then option B answers the question.</em>
<em></em>
Answer:
31.42 cm (rounded up to two decimal places)
Step-by-step explanation:
We first find the circumference of the semi-circle segment:
The circumference will be given by; × π × D (where D is the diameter)
The diameter is 6 cm so circumference is;
× π × 6 cm = 9.42 cm (rounded up to two decimal places)
The perimeter of the figure therefore is;
8cm + 6 cm + 8 cm + 9.42 cm = 31.42 cm
