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Roman55 [17]
3 years ago
5

The prism has a surface area of 1312 mm2.

Mathematics
1 answer:
solmaris [256]3 years ago
4 0
<span>Surface Area = 2(lw + lh + wh)

Divide each dimension by half, and then plug it in to the formula.

32/2 = 18
10/2 = 5
8/2 = 4

</span><span>Surface Area = 2((4)(5) + (4)(18) + (5)(18))
</span>SA = 2(20 + 72 + 90)
SA = 2(182)

SA = 364

The surface area if each dimension was halved would be 364 mm^2.
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Graph the circle (x+6)^2 + (y+5)^2 =9
Andrei [34K]

Answer:

This a circle centered at the point (-6,-5), and of radius "3" as it is shown in the attached image.

Step-by-step explanation:

Recall that the standard formula for a circle of radius "R", and centered at the point (x_0,y_0) is given by:

(x-x_0)^2+(y-y_0)^2=R^2

Therefore, in our case, by looking at the standard equation they give us, we extract the following info:

1)  R^2 = 9\,\,\,then\,\,\,R=3  since the radius must be a positive number and (R=-3) is not a viable answer.

2) x_0=-6    for ( x-x_0) to equal   (x+6)

3) y_0=-5    for ( y-y_0) to equal   (y+5)

Therefore, we are in the presence of a circle centered at the point (-6,-5), and of radius "3". That is what we draw as seen in the attached image.

5 0
3 years ago
Use a real number line to define la.
mrs_skeptik [129]

A number line is just that – a straight, horizontal line with numbers placed at even increments. The distance from the origin to a is |a| for any real number a. Thus, the correct option is C.

<h3>What is a number line?</h3>

A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.

As we know that in the given function |a|, when any value is given to a, then the value that the function is written is equal to a.

Let a=-5, then the value that the function will return is 5. Which is the distance borigin and a, on the number line.

Hence, The distance from the origin to a is |a| for any real number a. Thus, the correct option is C.

Learn more about the Number line:

brainly.com/question/557284

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5 0
2 years ago
Plsss help me plssss
RideAnS [48]
Your answer to your question is 51
7 0
3 years ago
When is buying a house better renting?
Alexandra [31]

Answer:

i dont understand the question

8 0
3 years ago
Solve the equation -3 = 8x - 4yfor y
Anestetic [448]

You would add 4y to both sides of the equation which would leave you with

4y - 3 = 8x

then you would divide the entire equation by 4 leaving you with

y - 3/4 = 2x

then you would add 3/4 to both sides of the equation leaving you with

y = 2x + 3/4

8 0
4 years ago
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