if you were given a rectangle with a certain area, how would you draw it so that it had the greatest perimeter?

Answer: [tex]76\ m^2[/tex]

Step-by-step explanation:

The surface area of a rectangular prism is given by :-

[tex]\text{Surface area}=2(lw+wh+hl)\\\\\Rightarrow\ \text{Surface area}=2(4\cdot5+2\cdot5+2\cdot4)\\\\\Rightarrow\ \text{Surface area}=2(20+10+8)\\\\\Rightarrow\ \text{Surface area}=2(38)\\\\\Rightarrow\ \text{Surface area}=76\ m^2[/tex]

Hence, he surface area of this right rectangular prism= [tex]76\ m^2[/tex]

To find the dimensions of the volleyball court, set up a system of equations using the perimeter and area formulas. Solve the equations to find the possible dimensions of the court.

To find the dimensions of the volleyball court, we can set up a system of equations using the given information. Let's represent the length of the court as 'l' and the width as 'w'. We know that the perimeter of a rectangle is given by the formula 2l + 2w, so we can set up the equation 2l + 2w = 52. Additionally, we know that the area of a rectangle is given by the formula lw, so we can set up the equation lw = 153.

Using these equations, we can solve for the dimensions of the volleyball court. Let's solve the first equation for l: 2l = 52 - 2w. Dividing both sides by 2 gives us l = 26 - w. Now we can substitute this value of l into the second equation: (26 - w)w = 153. Expanding this equation gives us w^2 - 26w + 153 = 0. We can solve this quadratic equation using factoring, the quadratic formula, or by graphing. After solving for w, we can substitute this value back into the equation l = 26 - w to find the length of the court.

After solving the quadratic equation, we find two possible values for the width: w = 9 and w = 17. Plugging each value into the equation l = 26 - w, we find the corresponding lengths: l = 17 and l = 9. Therefore, the possible dimensions of the volleyball court are 17m by 9m or 9m by 17m.

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Answer:

720

Step-by-step explanation:

the guy above got it right thanks man/gal

Answer:

26%

because I did the Math so don't ask OKAY!

Starting from your school's location (2,-1), by subtracting 5 from the x-coordinate for walking west, and adding 2 to the y-coordinate for walking north, the location of your house corresponds the ordered pair (-3,1).

Given your school is at (2,-1) and you walk 5 blocks west and 2 blocks north to reach your school, we can determine the location of your house. If we think of the coordinate system with east being positive along the x-axis and north as positive along the y-axis, then walking west (the opposite direction of positive x) means subtracting from the x-coordinate and walking north (the positive y direction) means adding to the y-coordinate.

So, starting from the school's location (2,-1), to account for your walk, subtract 5 (for walking west) from the x-coordinate, resulting in -3, and add 2 (for going north) to the y-coordinate, resulting in 1. Thus, the location of your house corresponds to the ordered pair (-3,1).

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Answer: This represented a exponential growth function.

Step-by-step explanation:

Exponential growth is demonstrated when the rate of change of the value of any mathematical function[the change per unit of time] is proportional to the function's present value, resulting in its value at any time being an exponential function of time or becomes a function in which the time value is the exponent.

Given : A function has a constant tripling time. So it is highly increasing (exponentially) with the time i.e. the function is exponential function.

Answer: Hello mate!

A constant tripling time means that there is a time T, a quantity triples when t = T, then triples again when t = 2T, and again when t = 3T.

Then if A is the initual cuantity; we have a function of the form

f(t) = A*3^(t/T)

and you can see that:

f(0) = A

f(T) = A*3

f(2T) = A*3^2 = (A*3)*3

and so on:

This function describes an exponential growth (because f(t) increases exponentialy over time)

The slope of the line passing through the points (−3, 8) and (4, −6) is calculated using the slope formula and results in a slope of −2.

To find the slope of the line that passes through the points (−3, 8) and (4, −6), we apply the slope formula m = (y2 − y1) / (x2 − x1). Let's designate the first point (−3, 8) as (x1, y1) and the second point (4, −6) as (x2, y2). Plugging these values into the formula, we get:

m = (−6 − 8) / (4 − (−3))

m = −14 / 7

m = −2

Therefore, the slope of the line between the two points is −2. The negative sign indicates that the line is descending from left to right.

Final answer:

To calculate the slope of a line that goes through the points (-3, 8) and (4, -6), apply the slope formula m = (y2 - y1) / (x2 - x1). After substituting the values, the slope is found to be -2.

Explanation:

To find the slope of the line that passes through the points –(3, 8) and (4, –6), we can use the slope formula, which is m = (y2 - y1) / (x2 - x1).

Using the given points, Point 1 (x1, y1) is (-3, 8) and Point 2 (x2, y2) is (4, -6). Substituting these values into the slope formula gives us:

m = (-6 - 8) / (4 - (-3))

m = (-14) / (7)

m = -2

Therefore, the slope of the line that passes through the given points is -2.

Answer:

This is a Trapezoid! It has 22 [tex]units{2}[/tex]

Final answer:

Miguel ran different distances on Monday and Friday. We calculate how much farther he ran on Friday than on Monday to find the difference in distance.

Explanation:

Miguel ran 1 3/10 miles on Monday. On Friday, Miguel ran 3 times as far as he did on Monday. To find out how much farther Miguel ran on Friday than on Monday, we first calculate how far he ran on Friday, which is 1 3/10 miles x 3 = 3 9/10 miles. The difference in distance is 3 9/10 - 1 3/10 = 2 6/10 miles.