Answer:
(x,y) = (0,-8)
Step-by-step explanation:
We know that a point in polar coordinates is represented by
(r, θ)
Where r is the distance from the origin and θ is the angle.
Rectangular coordinates can be found by
x = r*cos(θ)
y = r*sin (θ)
x = r*cos(θ) = 8* cos (3π/2)
y = r*sin (θ) = 8 sin(3π/2)
x = 8* cos (3π/2) = 8*0 = 0
y = 8* sin (3π/2) = 8*(-1) = -8
(x,y) = (0,-8)
It 7 500 000*m* is equal to 7500km therefore it is greater than 750km, however if youbare not talking about meters then the answer might be no.
Tan(Angle) = Opposite leg / Adjacent leg
Tan(A) = 5/7
A = Arctan(5/7)
A = 35.54 degrees.
Answer: A company saves $134.38 by choosing to make 50 of Box 2 instead of Box 1
Step-by-step explanation:
Hi, to answer this question we have to calculate the surface area of both boxes.
<em>Surface area (A) = 2wl + 2lh + 2hw,
</em>
Where w is width, l is length , and h is height.
- Box 1 = A = 2(6x20) + 2( 20x4) + 2 (4 x 6) =2 (120)+ 2 (80)+ 2(24) =448 in2
- Box 2 = A = 2 (4x15)+ 2(15x8)+ 2(8x4) = 2(60)+2(120)+2(32)=424 in2
Since 1 inch = 0.0833333 foot
- Box 1 = 448 in2 x 0,0833333 =37.34 ft2
- Box 2= 424 in2 x 0,0833333 =35.19 ft2
Since the material used to make a storage box costs $1.25 per square foot.
- Box 1 =37.34 ft2 x1.25 = $ 46.675
- Box 2= 35.19 ft2 x 1.25 =$43.98
Since 50 of each are made:
- Box 1 = $ 46.675 x50 =2,333.750
- Box 2= $43.98 x50 =2,199.37
Subtracting both costs:
2,333.750(1) - 2,199.37(2) = $134.38
The meaning of the horizontal asymptote is that the increase in a person's body temperature is a constant value when long time passes.
You can obtain that value by calculating the limit of the function when t → ∞:
4t
T(t) = ------------- => Lim T(t) when t → +∞ = 0.
t^2 + 1
That means that at long term the Temperature tends to remain at 98.6°F.
