Please help me solve this problem ASAP! I'm picking brainliest!
1 answer:
Answer:
It will take Madeline 13 minutes to heat her hot tub from 93° to 103°
Step-by-step explanation:
Hot tub is 70.15 cubic feet
70.15 cubic feet = 524.76 gallons
n is the number of sides of the shape, so apothem will always be
side length/2tan(30) on a regular hexagon
Apothem comes out to 2.598 multiplied by perimeter yields 23.3827 (area of base)
You might be interested in
Notice that the given info consists of boundary lines for an area in the xy plane. We are interested ONLY in values of x and y that are 0 or greater (positive). Graph 5x + 3y 
37 and 3x + 5y less than or equal to 35.
Find the points of intersection of all four straight lines (including the x- and y-axes). There will be 4 such points (incl. the origin).
Next, evaluate the objective function 2x + 14y at each of these 4 points. Which of the four results is the largest? the smallest? Label them as 'maximum' and 'minimum.'
Questions? Just comment on this discussion.
Find the points of intersection of all four straight lines (including the x- and y-axes). There will be 4 such points (incl. the origin).
Next, evaluate the objective function 2x + 14y at each of these 4 points. Which of the four results is the largest? the smallest? Label them as 'maximum' and 'minimum.'
Questions? Just comment on this discussion.
Answer:
Yes, the zoo needs to order more fencing. The zoo has 54 ft of fence remaining for the unknown side.
If the unknown side is assumed to have this length, sin (θ) = 1.2857. which is not possible, so the triangle cannot be formed.
Step-by-step explanation:
Let a be the length of the third side of the triangle.
a = 127 - 73 = 54 ft
Let the angle that a makes with the barn be θ
The diagram of this question is attached to this solution.
Using the sine rule, we can examine if the remaining fencing material would be enough by checking if (sin θ) is realistic.
Using sine rule,
[a/(sin 72°)] = [73/(sin θ)]
[54/sin 72°] = [73/sin θ]
sin θ = (73 × sin 72°)/54 = 1.2857
sin θ = 1.2857
This is obviously not a realistic value for sin θ since it is known that sin θ ranges between 0 and 1.
The 54 ft is obviously not enough.
Hence, the zoo needs more fencing material to be able to complete the outdoor triangular giraffe exhibit.
Hope this Helps!!!
