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Tresset [83]
3 years ago
6

The roof is leaking in Tim's cabin. He has put small containers (all the same size) and large containers (all the same size) aro

und the cabin to capture the water before it hits the floor Two small containers and one large container together hold 10 cups of water One large container minus one small container leaves 4 cups of water How many cups of water does the large container hold?​
Mathematics
1 answer:
professor190 [17]3 years ago
5 0

Answer:

The large container holds 6 cups of water

Step-by-step explanation:

If two small containers and one large container equal 10 cups and one large minus one small equals 4 cups then that means that each small container has to equal 2 cups of water.

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It’s 12.5 miles per hour and the cyclist will travel 50 miles in 4 hours.
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A=a+b+c+d . Solve for c
DerKrebs [107]

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A = a + b + c + d

c = A - a - b - d


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What is the domain of y = (3/(x - 2)^2)- 4 ?
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Domain \ of \ y=\frac{3}{(x - 2)^2}-4 \ is \ all \ real \ numbers \ except \ 2
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3 years ago
Cost-volume profit analysis reclined company is planning to produce and sell 11,250 units of its only product at a unit price of
ollegr [7]

Answer:

The contribution margin it's determined by the total amount of Gross Profit divided by the total value of sales.

Profit = $405,000

Sales = 11,250×106 =$1,192,500

Therefore contribution margin ratio = ($405,000/$1,192,500) = 0.34

The Break Even point is given thus;

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Break-even point = Fixed costs ÷ contribution ratio

= $281,250/0.34 = $827,205.88

5 0
3 years ago
Find the points on the cone z2 = x2 + y2 that are closest to the point (6, 2, 0).
aliya0001 [1]

Answer:

The closest points on the cone are;

(6, 2, -√10) and (6, 2, √10)

Step-by-step explanation:

Let B(x, y, z) denote a point on the cone.

Therefore, the distance between the points (6, 2, 0) and B(x, y, z) is;

d = √[(x - 6)² + (y - 2)² + (z - 0)²]

d = √[(x - 6)² + (y - 2)² + z²]

Since we are given that z² = x² + y², we now have;

d = √[(x - 6)² + (y - 2)² + x² + y²]

Taking the square of both sides gives;

d² = [(x - 6)² + (y - 2)² + x² + y²]

x² is an increasing function. Thus, minimizing d is also the same as to minimize f (x, y) = d²

Thus, f' = 0. So;

df/dx = 2(x - 6) + 2x = 0

2x - 12 + 2x = 0

4x = 12

x = 12/4

x = 3

Similarly,

df/dy = 2(y - 2) + 2y = 0

2y - 4 + 2y = 0

4y - 4 = 0

4y = 4

y = 4/4

y = 1

Now,from earlier;

z² = x² + y²

Thus;

z = ±√(3² + 1²)

z = ±√10

Thus, the closest points on the cone are;

(6, 2, -√10) and (6, 2, √10)

7 0
4 years ago
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