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Sloan
17 days ago
15

Bill's new porch is rectangular, with an area of 50 square feet. If the length of the porch is two times the width, what is the

perimeter of the porch?
Mathematics
1 answer:
lawyer [4K]17 days ago
4 0
1. The area of a rectangle is given by:

 A = L × W

 Where L is length (L = 2W) and W is width.

2. Substituting L = 2W into the area formula:

 A = 2W × W = 2W²

3. Solving for W:

 W² = A / 2
 W = √(A / 2)

4. Using A = 50 ft²:

 W = √(50 / 2) = √25 = 5 ft

5. Finding L:

 L = 2 × 5 ft = 10 ft

6. The perimeter P is:

 P = 2L + 2W

7. Therefore:

 P = 2 × 10 ft + 2 × 5 ft = 20 ft + 10 ft = 30 ft

The porch's perimeter is 30 ft
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A frog is sitting exactly in the middle of a board that is five feet long. Every ten seconds he jumps one foot to the left or on
PIT_PIT [3919]

Answer:

Given that the frog jumps every 10 seconds

   (using digits from a random number table)

  • It requires 7 jumps with 2 in the reverse direction (either left or right) for the frog to get off the board in 60 seconds.
  • Alternatively, 3 jumps in the same direction will also lead to the frog being off the board.
  • Furthermore, it would take 5 jumps with one in the opposite direction within the time limit of 60 seconds to leave the board.

Step-by-step explanation:

A frog positioned right at the center of a 5ft long board is 2.5 ft away from either edge.

Every 10 seconds, the frog jumps left or right.

If the frog's jumps are LLRLRL, it will remain on the board at the leftmost square.

If it jumps as LLRLL, it will jump off the board after fifty seconds.

Given that the frog jumps every 10 seconds

   (using digits from a random number table)

  • It requires 7 jumps with 2 in reverse direction (either left or right) for the frog to get off the board in 60 seconds.
  • Alternatively, 3 jumps in the same direction will also lead to the frog being off the board.
  • Furthermore, it would take 5 jumps with one in the opposite direction within the time limit of 60 seconds to leave the board.
4 0
11 days ago
The table shows the estimated number of lines of code written by computer programmers per hour when x people are working. A 2-co
tester [3916]

Answer:

Crearemos una tabla con estos valores según diferentes valores de x.

x                  A                 B                C               D

2              66.66          49.3            52.5           50

4             94.57            71.44           106.3         104  

6             134.14           103.57         160.1          158

8             190.27        150.14          213.9         212

10           269.91           217.64         267.7         266

12           382.85          315.5           321.5          320.

Por lo tanto, la función que mejor representa los datos es:

Opción C.

y=26.9x-1.3

Explicación paso a paso:

4 0
9 days ago
Robert was able to travel 292.0 miles in 4.000 hours and used 38 liters of gasoline. What was robert's speed in feet per second?
zzz [4022]

Robert covered a distance of 292 miles.

He took 4 hours to complete this journey.

Next, let's convert miles to feet.

1 mile equals 5280 feet.

Thus, 292 miles in feet equals 292 * 5280 = 1541760 feet.

Now, converting 4 hours into seconds.

1 hour translates to 3600 seconds.

Therefore, 4 hours equals 3600 * 4 = 14400 seconds.

The question asks for speed in feet per second.

speed = \frac{distance}{time}

Thus,

\frac{1541760}{14400}

is 107.067 feet per second.

8 0
9 days ago
Evaluate ∫SF⃗ ⋅dA⃗ , where F⃗ =(bx/a)i⃗ +(ay/b)j⃗ and S is the elliptic cylinder oriented away from the z-axis, and given by x2/
Inessa [3907]

Respuesta:

Por lo tanto, la integral de superficie es \pi(a^2+b^2)c-0-0=\pi(a^2+b^2)c.

Explicación paso a paso:

La función dada es,

\vec{F}=\frac{bx}{a}\uvec{i}+\frac{ay}{b}\uvec{j}

Para encontrar,

\int\int_{S}\vec{F}dS 

donde S=A=superficie del cilindro elíptico debemos aplicar el teorema de divergencia, así que,

\int\int_{S}\vec{F}dS

=\int\int\int_V\nabla.\vec{F}dV

=\int\int\int_V(\frac{b}{a}+\frac{a}{b})dV 

=\frac{a^2+b^2}{ab}\int\int\int_VdV

=\frac{a^2+b^2}{ab}\times \textit{Volume of the elliptic cylinder}

=\frac{a^2+b^2}{ab}\times \pi ab\times 2c=\pi (a^2+b^2)c

  • Si el vector unitario \cap{n} está dirigido en dirección positiva (hacia afuera), entonces z=c y,

\int\int_{S_1}\vex{F}.dS_1=\int\int_{S_1}. dA 

=\int\int_{S_1}.dA=0

  • Si el vector unitario \cap{n} está dirigido en dirección negativa (hacia adentro), entonces z=-c y,

\int\int_{S_2}\vex{F}.dS_2=\int\int_{S_2}. -dA 

=\int\int_{S_2}. -dA=0

Por lo tanto, la integral de superficie sin el vector unitario de la superficie es,

\pi(a^2+b^2)c-0-0=\pi(a^2+b^2)c

5 0
8 days ago
The owner of a skate shop notices that every time a certain employee has a shift, there are higher sales numbers at the end of t
zzz [4022]

Response:

Correlation.

In-depth explanation:

When the goal is to determine the connection between two or more variables to assess the impact of one variable (the independent one) on another variable (the dependent one), this is referred to as a correlation study or analysis. In this case, the link between employee shifts and sales or productivity is analyzed; it shows how the number of shifts worked by a specific employee correlates positively with the revenue generated. Here, the shift worked by the employee acts as the independent variable while the generated revenue is the dependent one.

6 0
16 days ago
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