All categories

3 years ago

You pay $3 per square foot for carpeting. Which equation can be solved to find the

Mathematics

1 answer:

Kaylis [27]3 years ago

8 0

Answer:

3 * (½*2*5) = x

Step-by-step explanation:

Cost of carpeting = $3 per square foot

We have a triangular section to cover having the following dimensions:

base = 2 yd

height = 5 yd

First, let's find the area of the section = area of triangle

Area of triangle = ½*base*height

Area of the triangular section of the floor = ½*2*5

If $3 will cover 1 ft², therefore,

x will cover ½*2*5

Thus:

3 * (½*2*5) = x

You might be interested in

Given the function with f(3) = 127 and f(1) = 95, determine the rate of change over the interval 1 <3 <3

Sonbull [250]

Answer:

When we have a function f(x) = y.

The rate of change between a and b (where a < b) is:

R = (f(b) - f(a))/(b - a)

In this case:

b = 3

a = 1

f(3) = 127

f(1) = 95

R = (127 - 95)/(3 - 1) = 16

The rate of change in that interval is 16.

3 0

3 years ago

Suppose that two people standing 2 miles apart both see the burst from a fireworks display. After a period of time, the first p

Usimov [2.4K]

Answer: approximately 5148 feet directly north of point A

This is equivalent to 0.975 miles

==============================================================

Explanation:

Check out figure 1 (attached image below) to see how the drawing is set up.

Points A and B are separated by 2 miles, or 10560 feet. Use the conversion factor 1 mile = 5280 feet.

Because sound travels at roughly 1100 feet per second (assuming all of the conditions are right), this means that after x seconds, the sound wave has traveled a total distance of 1100x feet. This is the distance from A to C. Point C is the firework location.

The distance from B to C is 1100(x+6) feet because it takes 6 more seconds for the soundwave to travel from C to B, compared from C to A.

Note that triangle ABC is a right triangle. The 90 degree angle is at point A.

We can use the pythagorean theorem to solve for x

See figure 2 in the attached images to see the steps on solving for x. The numbers get quite big, though in the end x is fairly small. We end up with x = 4.68, which is approximate due to the 1100 figure being approximate.

This means the sound wave takes about 4.68 seconds to go from point C to point A.

With this x value, we can compute the expression 1100x to get

1100*x = 1100*4.68 = 5,148 feet

To convert this to miles, divide by 5280

(5148)/(5280) = 0.975

Therefore,

5148 feet = 0.975 miles