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Zina [86]
3 years ago
10

A box without a top is to be made from a rectangular piece of cardboard, with dimensions 11 in. by 16 in., by cutting out square

corners with side length x and folding up the sides

Mathematics
1 answer:
kirill [66]3 years ago
6 0

Answer:

• V = x(11 -2x)(16 -2x)

• x ≈ 2.1 in

Step-by-step explanation:

a) The volume of the box is the product of its depth (x), width (11 -2x) and length (16 -2x). The equation can be simply ...

v(x) = x(11 -2x)(16 -2x)

__

b) A graphing calculator can plot this equation directly. All that is needed is to enter it into the appropriate space provided by the calculator. The value of x that gives the greatest volume is the value that makes the function have a local maximum between x=0 and x=5.5 (where the volume is again zero).

That value of x is about 2.1 inches.

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I’ll give brainiest to someone who answers all of the given answers below
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Answer:

Below in bold.

Step-by-step explanation:

a. Distance = speed * time

d = st  

So substituting in the given values:

d = 9t where t is the time it takes to travel from the hive to the flowerbed.

The total time that the bee is inflight = 19 - 16 = 3 minutes

= 180 seconds.

So for the return flight the time taken is (180-t) seconds.

So d = 6(180 - t).

and  we can find the distance  from the hive to flowerbed by solving the the 2 equations highlighted.

b,      d = 9t

         d = 6(180 - t).

Therefore:

9t  = 6(180 - t)

9t = 1080 - 6t

9t + 6t = 1080

15t = 1080

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c.  d =  9t.

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Come puoi vedere, una quantità è la metà dell'altra.

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4 years ago
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A right triangle has a side of length 1 fourth and a hypotenuse of length 1 third. What is the length of the other side?
Marina86 [1]

Answer:

The other side = \frac{1}{12} units

Step-by-step explanation:

A right triangle has a side of length \frac{1}{4} units and;

the hypotenuse is \frac{1}{3}

According to Pythagorean theorem,

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Lets say a² = (\frac{1}{4}) ^2   and  c² = ((\frac{1}{3} )^2

b² = c² - a²

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So b = \sqrt{1/144} = \frac{1}{12} units.

So the other side = \frac{1}{12} units.

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