By applying the law of sines, the length of side PQ is equal to 7.1 units.
<h3>What is the law of sines?</h3>
The law of sines is also referred to as sine law and it can be defined as an equation that relates the side lengths of a triangle to the sines of its angles.
<h3>How to calculate the length of PQ?</h3>
Mathematically, the law of sines is given by this equation:
Substituting the given parameters into the formula, we have;
PQ = 7.1 units.
Read more on law of sines here: brainly.com/question/7922954
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Answer:
eln2(x)ln(x4)/x
I HOPE THIS HELPED!
Step-by-step explanation:
The amount of plywood needed to build the garbage bin is the surface area. Therefore, the amount of plywood needed is 90884 cm².
<h3>How to find the surface area of a rectangular prism</h3>
The wooden box is a rectangular prism. The amount of plywood used to construct the wooden box is the surface area of the box.
Therefore,
surface area of rectangular prism = 2(lw + lh + hw)
where
- l = length
- w = width
- h = height
l = 156 cm
w = 122 cm
h = 95 cm
surface area of rectangular prism = 2((156 × 122) + (156 × 95) + (122 × 95))
surface area of rectangular prism = 2(19032 + 14820 + 11590)
surface area of rectangular prism = 2(45442)
surface area of rectangular prism = 90884 cm²
learn more on surface area here:brainly.com/question/27161212
(cos(x) + cos(y))^2 + (sin(x) - sin(y))^2 Remove the brackets
cos^2(x) + cos^2(y) + 2cos(x)*cos(y) + sin^2(x) - 2(sin(x)*sin(y) + sin^2(y) Combine these two in bold to make 1 because sin^2(x) + cos^2(x) = 1
1 + cos^2(y) + 2cos(x)*cos(y) - 2*sin(x)*cos(y) + sin^2(y)
These two in bold also make 1
2 + 2cos(x)*cos(y) - 2*sin(X)*sin(y) Bring out a common factor of 2
2 +2(cos(x)*cos(y) - sin(x)*sin(y) )
but cos(x+y ) = cos(x)*cos(y) - sin(x)*sin(y)
2 + 2* cos(x + y) is your final answer.
