Answer:
3
Step-by-step explanation:
3*5=15
The product of the given expression is -120. Option A is correct
<h3>Product of negative numbers.</h3>
Given the expression below as shown;
−5⋅(−3)⋅(−8)
Since the product of two negative number is equal to positive, then;
−5⋅(−3)⋅(−8) = -8(5*3)
Simplify the result to have:
-8 * 15
find the final product
-8 * 15 = -8(5+10)
-8 * 15 = -40 - 80
-8 * 15 = -120
Hence the product of the given expression is -120
Learn more on product of negative numbers here: brainly.com/question/17485302
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Hello!
Your answer would be 6
Than basically means switching the numbers
So basically if you were to multiply 6 x 6 (6 times less than)
You would get 36. Then subtract.
42 - 36 = 6, which is your answer.
I hope this helps!
Im one Brainliest away from next rank, so if possible please consider!
Answer:
Longer than
Step-by-step explanation:
The lengths of sides A C and F E are congruent. The lengths of sides B C and D E are congruent. Therefore:
AC = FE, BC = DE
Also m∠C is greater than m∠E
∠C is the angle opposite to line AB and ∠E is the angle opposite to line DF. Since AC = FE, BC = DE and m∠C is greater than m∠E. The length of a side of a shape is proportional to its opposite angle, since the opposite angle of AB is greater than the opposite angle of DF therefore AB is greater than DF
Answer:
d = k·sin(2θ)·sin(α)/(sin(θ)·sin(β))
Step-by-step explanation:
The Law of Sines tells us that sides of a triangle are proportional to the sine of the opposite angle. This can be used along with a trig identity to demonstrate the required relation.
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<h3>top triangle</h3>
The law of sines applied to the top triangle is ...
BC/sin(A) = AC/sin(θ)
Triangle ABC is isosceles, so the base angles at B and C are congruent. Then the angle at vertex A is ...
∠A = 180° -θ -θ = 180° -2θ
A trig identity tells us the sine of an angle is equal to the sine of its supplement. That means the sine of angle A is ...
sin(A) = sin(180° -2θ) = sin(2θ)
and our above Law of Sines equation tells us ...
BC = sin(A)/sin(θ)·AC = k·sin(2θ)/sin(θ)
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<h3>bottom triangle</h3>
The law of sines applied to the bottom triangle is ...
DC/sin(B) = BC/sin(D)
d/sin(α) = BC/sin(β)
Multiplying by sin(α) we have ...
d = BC·sin(α)/sin(β)
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Using our expression for BC gives the desired relation:
d = k·sin(2θ)·sin(α)/(sin(θ)·sin(β))
