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Reika [66]
3 years ago
11

The area of a rectangle is 25/42 and its width is 5/6. What is the length? ASAP

Mathematics
1 answer:
Serhud [2]3 years ago
8 0

Answer:

<h2>length =  \frac{25}{28}</h2>

Step-by-step explanation:

Let the length of the rectangle be l

Area of a rectangle = length × width

From the question

Area = 25/42

width = 5/6

Substitute the values into the above formula and solve for the length

That's

<h3>length =  \frac{area}{width}</h3>

So we have

<h3>length =  \frac{25}{42}  \div  \frac{4}{6}  \\  =  \frac{25}{42}  \times  \frac{6}{4}  \\  =  \frac{25}{7}  \times  \frac{1}{4}</h3>

We have the final answer as

<h3>\frac{25}{28}</h3>

Hope this helps you

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Can someone tell me if im right? PLEASE DONT JUST SAY YES if you don’t know
tia_tia [17]

Answer: You are incorrect, the slope is correct, but the actual y-intercept is 205 ft.

Then the equation is:

y = (-15 ft/min)*x + 205 ft

Step-by-step explanation:

Ok, let's solve this.

We know that water is drained from a reservoir, let's assume that we can model this situation with a linear relation:

y = a*x + b

Where x is time, y is the height of the water in the reservoir, a is the slope (in this case represents how much changes the height of the water in the reservoir in one unit of time) and b is the initial height of the water in the reservoir.

We know that for a line that passes through the points (x₁, y₁) and (x₂, y₂) the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

For this particular case we know that after 2 minutes the height of the water is 175 ft, then we have the point (2 min, 175 ft)

and after 5 minutes (so 7 minutes in total), the height of the water is 100ft, then: (7 ft, 100ft)

Then the slope of this:

a = (100 ft - 175 ft)/(7 min - 2 min) = (-75ft/5min) = - 15 ft/min

Then our line is something like:

y = (-15ft/min)*x + b

To find the value of b, we can use the fact that when x = 2 min, y = 175 ft

So if we replace these two values in the equation we get:

175ft = (-15 ft/min)*2 min + b

175 ft = -30 ft + b

175 ft + 30 ft = b                  

(here is your problem, it seems like you subtracted instead of adding in this part)

205 ft = b

Then the equation is:

y = (-15 ft/min)*x + 205 ft

So you are incorrect (but only for a little bit), you computed wrong the y-intercept.

3 0
3 years ago
Questions, are all in picture, please solve
Andrews [41]

The function represents a <em>cosine</em> graph with axis at y = - 1, period of 6, and amplitude of 2.5.

<h3>How to analyze sinusoidal functions</h3>

In this question we have a <em>sinusoidal</em> function, of which we are supposed to find the following variables based on given picture:

  1. Equation of the axis - Horizontal that represents the mean of the bounds of the function.
  2. Period - Horizontal distance needed between two maxima or two minima.
  3. Amplitude - Mean of the difference of the bounds of the function.
  4. Type of sinusoidal function - The function represents either a sine or a cosine if and only if trigonometric function is continuous and bounded between - 1 and 1.

Then, we have the following results:

  1. Equation of the axis: y = - 1
  2. Period: 6
  3. Amplitude: 2.5
  4. The graph may be represented by a cosine with no <em>angular</em> phase and a sine with <em>angular</em> phase, based on the following trigonometric expression:

    cos θ = sin (θ + π/2)

To learn more on sinusoidal functions: brainly.com/question/12060967

#SPJ1

3 0
2 years ago
Chapter 1 Math Review----the test will look very similar to these questions. Make sure
Bezzdna [24]

Answer:

a. is 5

c. is 3

e. is 6

b. is 1

d. is 4

f. is 2

Step-by-step explanation:

8 0
3 years ago
0.2343217 Is it rational or irrational
tia_tia [17]
Irrational because it can not be written as a fraction
8 0
2 years ago
PLEASE ANSWER + BRAINLIEST!!!!
pav-90 [236]
The answer is D because it does not end up passing through another point. You can discover this by using the vertical line test.
3 0
3 years ago
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