Mathematics, 28.07.2021 18:50, aaliyahrice02

Pls pls pls pls help me answer this fast

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answered: gacyber

$351\:\mathrm{cm^3}$

Step-by-step explanation:

The area of this prism can be found by multiplying the area of the base by the height.

Since this only works if the two bases are the same, let's assign the congruent trapezoids on the front and back of the prism to be the trapezoid's bases.

The area of a trapezoid is equal to the average of its bases multiplied by its height. In this case, the height of each trapezoid is 6 and there are two bases 5 and 8. To find the average of a set of values, add up all the values of the set and divide by . Therefore, the average of 5 and 8 is $\frac{5+8}{2}=\frac{13}{2}=6.5$ and the area of the trapezoid is:

$6\cdot 6.5=39\:\mathrm{cm^2}$

Now we multiply this by the prism's height (9 cm), to get our final

$39\cdot 9=390-39=\boxed{351\:\mathrm{cm^3}}$

answered: Guest

a) $ 9.50

b) 17

c) y-intercept (0, 12). this is the initial amount of money that joe had prior to playing any game.

d) x-intercept ( 24, 0). this is the number of games that joe will play before he depletes the initial amount of money that he had.

e) slope is -0.5. joe's balance will reduce by 0.5 for every game that he plays.

domain; [0,24]

range; [0,12]

g) x + 2y = 24

step-by-step explanation:

if joe plays 5 games, this will imply that x = 5. substitute x = 5 in the equation and solve for y;

y = -.50x + 12

y = -0.50(5) + 12

y = 9.50

if joe leaves the arcade with $3.50, this will mean that y = 3.50. plug in y = 3.50 in the given equation and solve for x;

y = -.50x + 12

3.50 = -0.50x + 12

0.50x = 12 - 3.50

0.5x = 8.5

x = 17

the function given is y = -.50x + 12.

the y-intercept is the point where the graph of this function will intersect the y-axis. at this point, the value of x is usually 0. plug in x = 0 in the given equation and determine y;

y = -0.50(0) + 12

y = 12

the y-intercept is thus (0, 12). this is the initial amount of money that joe had prior to playing any game.

the x-intercept refers to the point where the graph of a function intersects with the x-axis. at this point, the value of y is 0. substitute y = 0 in the given equation and solve for x;

0 = -.50x + 12

0.5x = 12

x = 24

x-intercept ( 24, 0). this is the number of games that joe will play before he depletes the initial amount of money that he had.

the slope of the given equation is -0.5. the equation has been given in slope-intercept form. thus the slope is simply the coefficient of x.

joe's balance will reduce by 0.5 for every game that he plays. this is the interpretation of the slope.

domain is the set of x values for which the function is real and defined. the domain will thus be; [0,24]. this will restrict the balance to only assume positive values.

on the other hand, the range is the set of y values for which a function is real and defined. the range in our case will be [0,12]. joe can have between $0 and $12 balance.

the standard form of the equation of a straight line is;

ax + by = c

where a, b, and c are integers.

our equation is given as;

y = -.50x + 12

re-writing the equation we have;

0.5x + y = 12

divide all through by 0.5;

x + 2y = 24

answered: Guest

step-by-step explanation:

circumference divided by 3.141592654 then timesthe radius twice

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