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Anestetic [448]
3 years ago
10

the area of a rectangle is 5 4/5 square meters. the width of the rectangle is 2 1/4 meter. which is the best estimate for the le

ngth of the rectangle?
Mathematics
2 answers:
AleksandrR [38]3 years ago
7 0
Okay so divide the area by the width this will give you the length, 5.8/2.25=2.5777778 which is roughly 2 3/5
tester [92]3 years ago
6 0

Answer:

2\frac{26}{45}\text{ meters}

Step-by-step explanation:

Since the area of a rectangle is,

A=l\times b

Where,

l = length,

b = width,

Here, A = 5\frac{4}{5}\text{ square meters}

b = 2\frac{1}{4}\text{ meters}

By substituting the values,

5\frac{4}{5}=l\times 2\frac{1}{4}

\frac{29}{5}=l\times \frac{9}{4}

\implies \frac{29\times 4}{9\times 5}=\frac{116}{45} = 2\frac{26}{45}\text{ meters}

Hence, the length would be 2\frac{26}{45}\text{ meters}

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Solve for x. The number that is cut off is 14. Suppose that both figures are similar.
Mekhanik [1.2K]

Since both rectangles are similar, the following ratio must be fulfilled:

\frac{x+9}{14}=\frac{9}{6}

By multiplying both sides by 14, we get

\begin{gathered} x+9=\frac{9\times14}{6} \\ x+9=21 \end{gathered}

and by subtracting 9 to both sides, we have

x=12

Therefore, the answer is 12.

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1 year ago
Write a situation that could be represented by the algebraic expression below: <br> 2a + 3b
Damm [24]

Answer:

You have 2 mystery boxes and you add them to 3 mystery bags. Each has a different amount of things represented by a and b.

Step-by-step explanation:

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3 years ago
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Find all values of x in the interval [0, 2π] that satisfy the equation. (Enter your answers as a comma-separated list.)
asambeis [7]

Answer:

(15°, 165°)

Step-by-step explanation:

Given the equation 6 sin2(x) = 3, we are to find the value of x that satisfies the equation in the interval  [0, 2π]

Given

6 sin2(x) = 3,

Divide both sides by 6

6 sin2(x)/6 = 3/6

sin2(x) = 1/2

2x = sin^-1(0.5)

2x = 30°

x = 30°/2

x = 15°

Since sin is positive in the second quadrant, x2 = 180-15

x = 165°

Hence the values within the interval are 15 and 165.

(15°, 165°)

7 0
2 years ago
Write the equation of a line that goes through the points (-7,9) and (-4,3).
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Answer:

y= -2x - 5

Step-by-step explanation:

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3 0
2 years ago
Pedro le dice a María si cambias los billetes de 10 € que tienes por billetes de 5 € y los billetes de 5 € por billetes de 10 €
Bad White [126]

Answer: Maria has 10 bills of 5€ and 10 bills of 10€.

She has a total of 150€.

Step-by-step explanation:

Let be "f" the number of 5€ bills that Maria has and "t" the number of 10€ bills that Maria has.

Set up a system of equations:

\left \{ {{f+t=20} \atop {5f+10t=10f+5t}} \right.

Use the Substitution method to solve the system of equations:

1. Solve for "f" from the first equation:

f=20-t

2. Substitute the equation obtained into the second equation and solve for "t".

Then:

5(20-t)+10t=10(20-t)+5t\\\\100-5t+10t=200-10t+5t\\\\20t-10t=100\\\\t=\frac{100}{10}\\\\t=10

3. Substitute the value of "t" into the equation f=20-t and evaluate:

f=20-10\\\\f=10

Therefore, Maria has 10 bills of 5€ and 10 bills of 10 €.

So the total amount of money she has, is:

Total=10(5)+10(10)=150

She has a total of 150€.

5 0
3 years ago
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