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Talja [164]
3 years ago
11

A serving tray is the shape of a rectangular prism without a top the dimentions of the tray or 8" by 10" by 2" what is the surfa

ce area of the tray
Mathematics
1 answer:
Tanzania [10]3 years ago
3 0

Answer:

it's8

Step-by-step explanation:

You might be interested in
If the domain of the coordinate transformation (, ) = ( + 2,− − 4) is (1, -4), (3, -2), (0, −1), what is the range?
timama [110]

Answer:

A. (-2, -5), (0, -7), (1, -4)

Step-by-step explanation:

The following transformation is applied:

(x,y) \rightarrow (y + 2, -x - 4)

To find the range:

We apply the transformation to the points in the domain. Thus:

(1,-4) \rightarrow (-4 + 2, -1 - 4) = (-2, -5)

(3,-2) \rightarrow (-2 + 2, -3 - 4) = (0, -7)

(0,-1) \rightarrow (-1 + 2, 0 - 4) = (1, -4)

Thus the correct answer is given by option a.

8 0
3 years ago
The sum of three numbers is 3. if the second number is subtracted from the sum of the first and third numbers, the result is 9.
Margaret [11]
Let the three numbers be x, y, and z.

If the sum of the three numbers is 3, then x+y+z=3

If subtracting the second number from the sum of the first and third numbers gives 9, then x+z-y=9

If subtracting the third number from the sum of the first and second numbers gives -5, then x+y-z=-5

This forms the system of equations:
[1] x+y+z=3
[2] x-y+z=9
[3] x+y-z=-5

First, to find y, let's take do [1]-[2]:
x+y+z=3
-x+y-z=-9
2y=-6
y=-3

Then, to find z, let's do [1]-[3]:
x+y+z=3
-x+-y+z=5
2z=8
z=4

Now that you have y and z, plug them into [1] to find x:
x+y+z=3
x-3+4=3
x=2

So the three numbers are 2,-3, and 4.


5 0
3 years ago
Quadrilateral RAPS is located at the vertices
blondinia [14]

Answer:

R''(-1, 4), A''(-4, 3), P''(-5, 0), S''(-1, 1)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new position. Types of transformation include dilation, reflection, translation and rotation.

If a point A(x, y) is reflected over the line y = x, the new point is at  A'(y, x)

If a point A(x, y) is  rotated 180° clockwise about the origin, the new location is at A'(-x, -y)

Since Quadrilateral RAPS is located at the vertices  R(-4,1), A(-3, 4), P(0,5), S(-1,1), After been reflected  across the line y = x, the new locations are at:

R'(1, -4), A'(4, -3), P'(5, 0), S'(1, -1)

Then the rotation of the points R'(1, -4), A'(4, -3), P'(5, 0), S'(1, -1) 180° about the origin gives:

R''(-1, 4), A''(-4, 3), P''(-5, 0), S''(-1, 1)

3 0
3 years ago
Could someone please explain this problem to me?
disa [49]

Answer:

8/3

Step-by-step explanation:

Because all 4 angles are congruent, the sides are proportional.

the scale factor is 5/30 = 1/6.

meaning x = 16(1/6)=8/3.

7 0
2 years ago
1. Sharon and Geordi both worked hard over the summer. Together they eamed a total of $525. Geordi eamed $75
Svet_ta [14]

Answer:

a)

S+G=525

G=S+75

b) See attached pictures

c) S=$225 and G=$300

The point where both graphs meet each other is the point where both equations will be true when having the same S and G values. This is, this is the point where both conditions given by the problem are the same.

Step-by-step explanation:

a) For the first part of the problem, the addition of both amounts will give us the total, so the first equation is:

S+G=525.

On the second equation we need to add 75 to sharon's amount to figure Geordi's amount, so we get:

G=S+75

b) In order to graph the system of equations, we need to find two points for each of the equations. It would be a good idea to solve the first equation for g, so our system of equations would be:

G=525-S

G=S+75

First Equation:

You can pick any value you like for S, for example: S=0 and then substitute it into the equation to get te first G-value:

G=525-0

so G=525.

So the first ordered pair would be (0,525)

You can do the same with a different S-value to get a second point to plot:

S=100

G=525-100

G=424

so the second ordered pair would be (100,424)

and now you can plot the points on the graph and connect them with a straight line.

See attached picture.

Second Equation:

The same procedure is followed for the second equation, in this case I used the same S-values, but you can use different values if you wish, so the two points to plot were:

(0,75)

(100,175)

and the graph looks like the one attached.

c)

In order to figure out how much each person earned, we need to find the point where the two graphs meet each other (see attached picture) in this case the point will be located at (225,300)

This means that Sharon earned a total of $225 while Geordi earned a total of $300.

S=$225 and G=$300

The point where both graphs meet each other is the point where both equations will be true when having the same S and G values. This is, this is the point where both conditions given by the problem are the same.

5 0
2 years ago
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