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))
Answer:
6.4
Step-by-step explanation:
9x-23=4x+9
5x=32
x=6.4
If I'm right, brainliest pls?
Hello! I can help you with this! So there is a $95 guitar for 15% off. That means Ms. Shelton would still have to pay 85% of the $95. To find the new sale price of the guitar, let’s multiply. 95 * 0.85 is 80.75. $80.75 is the new sale price of the guitar. However, not let’s add the sales tax to find the total price of the guitar. Multiply by 1.065 or 106.5%, because hat would give you all of the total price. 80.75 * 1.065 is 85.998 and other numbers behind it or 86.00 when rounded to the nearest hundredth. The total price Ms. Shelton will pay for the guitar is $86.
This is a quadratic formula, which is (-b+-sqrt(b^2-4ac))/2a.
Parabolic graphs are quadratic formulas.
If that is multiply
Answer:
94.2
Step-by-step explanation:
15.7(3.09+2.91)=15.7*6=94.2
