Answer:
Surface area = 2,160 in²
Step-by-step explanation:
Given:
Length of box = 15 in
Width of box = 30 in
Height of box = 24 in
Find:
Surface area
Computation:
Surface area = 2h[l+b]
Surface area = 2(24)[30 + 15]
Surface area = 48 x 45
Surface area = 2,160 in²
I believe it is D)3x+2y<7
Hope I helped
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))
Chrissy's score = c
Twice means multiply by 2
twice Chrissy score = 2c
the sum of 22 and twice Chrissy score: 22+2c
