Answer:
Are 480/40 and 300/25 proportional? Cross products 48025 = 1200 and 300400 = 1200, so their salaries are proportional.
So in conclusion the answer is true.
Step-by-step explanation:
Answer:
little rusty but I think its b sorry if wrong
Step-by-step explanation:
Answer:
55
Step-by-step explanation:
Make a proportion.
11/20=x/100
20*5=100, 11*5=55
A polynomial that represents the volume of the Amazon box is; V(x) = x³ - 6x² + 5x
<h3>
How to calculate the volume of a box</h3>
- Length of box = x
- Width of the box is 4 inches less than the length. Thus; width = x - 4
- Height is said to be 1 inch less than the width. Thus; height = x - 4 - 1 = x - 5
Now, the formula for volume of a box is;
V = length × width × height
Thus;
V = x • (x - 1) • (x - 5)
V = x(x² - x - 5x + 5)
V = x(x² - 6x + 5)
V(x) = x³ - 6x² + 5x
In conclusion, the polynomial that represents the volume of the Amazon box is V(x) = x³ - 6x² + 5x
Read more on volume of a box at; brainly.com/question/15532376
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))
