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3 years ago

PLEASE SHOW WORK

1 answer:

4 0

Suppose, initially the ladder is so close that height of the ladder, which is 10 m to the point at which its upper end has reached.

When we pull the bottom of the ladder to such a place that it has come down by 7 m and its upper end is now 3 m from the ground. If we take the base y m, then

Using Pythagorus theorem,

y2 = 10^2 - 3^2 = 100 - 9 = 91

y = 9.54 m

The speed by which ladder was pulled was 2 m/min

So time taken to cover 9.54 m woulds be 4.77 min

As the ladder has come down by 7 m in 4.77 min, its speed for coming down was 7/4.77 = 1.47 m/min

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Which is greater .08 or 9/20?

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3 years ago

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Bob drives a truck for a soft drink company. His truck is filled with 15 oz cans and 70 oz bottles. Let C be the number cans and

Mekhanik [1.2K]

Answer:

Using ounces, the inequality should be:

15c + 70b < 112,000

Using pounds, the inequality should be:

0.9375c + 4.375b < 7,000

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Weight of a can of soft drink (c) = 15 ounces

Weight of a bottle of soft drink (b) = 70 ounces

The truck mist be carrying less than 7,000 pounds

2. Find the inequality describing this.

Let's recall that 1 pound = 16 ounces and 1 ounce = 0.0625 pounds

c = Number of cans in the truck

b = Number of bottles in the truck

Upon saying that, we can write the inequality either using ounces or pounds, this way:

Using ounces, the inequality should be:

15c + 70b < 7,000 * 16

15c + 70b < 112,000

Using pounds, the inequality should be:

15 * 0.0625c + 70 * 0.0625b < 7,000

0.9375c + 4.375b < 7,000

4 0

3 years ago

fence is to be built to enclose a rectangular area of 250 square feet. The fence along three sides is to be made of material tha

Morgarella [4.7K]

Answer:

23.05 x 10.85

Step-by-step explanation:

Area of Rectangular Fence = L * W = 250 $ft^{2}$

L * W = 250

W = $\frac{250}{L}$ ................................... (i)

Perimeter = 2L + 2W

Three sides cost 4 dollars per foot = 4(2L) + 4W

(The two lengths must be constructed with the 4 dollars materials)

Fourth side costs 13 dollars per foot = 13W

Cost = 4(2L) + 4W + 13W

C = 8L + 17W ...................................... (ii)

Substitute (i) into (ii)

C = 8L + 17 ( $\frac{250}{L}$ )

C = 8L + $\frac{4250}{L}$

Plotting this equation with L on the x-axis and cost on the y-axis

minimum cost will be when L ≈ 23.05 ft

W = $\frac{250}{23.05}$ ≈ 10.85 ft

minimum cost = 8(23.05) + $\frac{4250}{23.05}$

minimum cost = 184.4 + 184.382

minimum cost ≈ 368.78 dollars

5 0

4 years ago