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Murrr4er [49]
3 years ago
10

A sealed rectangular box measuring 8•6•18 contains 864 sugar cubes, each measuring 1•1•1. How many sugar cubes are touching the

box?
Mathematics
2 answers:
coldgirl [10]3 years ago
5 0

there are cubes touching the box 480

mixer [17]3 years ago
4 0

Answer:  480 cubes touch the box

Step-by-step explanation:

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If 20 were added to each of the vlaues in a data set that originally had a standard deviation of 8, the standard deviation of th
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Answer:

False (I assume it's a true/false question)

Step-by-step explanation:

Standard deviation measures how spread out the data is.  If you add 8 to all the data values, the distribution of data moves to the right (on a graph) 8 units. The shifted data are no more and no less spread out than before.  The standard deviation does not change.

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3 years ago
Marisol is painting on a canvas that has an area of 180 square inches. The length of the painting is 11/4 times the width. What
Alona [7]
Notice the picture below, see the length "l"?

well \bf Area=l\times w\qquad 
\begin{cases}
l=\frac{11}{4}w\\
Area=180
\end{cases}\\\\
-----------------------------\\\\
thus
\\\\
180=\cfrac{11}{4}w\times w

solve for "w", to find the width,

what's the length?  well, l = 11/4 w

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2 years ago
Drag the item from the item bank to its corresponding match.
vredina [299]
<h2>1. Answer: </h2>

This is an angle whose measure is between 0 degrees and 90 degrees matches to Acute angle

In fact this is the definition of acute angles, if an angle has a measure less than 90°, it's called an acute angle.  

<h2>2. Answer: </h2>

These are a pair of angles, adjacent or nonadjacent whose sum is 90° matches to Complementary

The definition of complementary angles is that they are angles that add up to 90°. For instance, if you have two angles 50° and 40°, the complement of 50° is 40° and the complement of 40° is 30°.

<h2>3. Answer: </h2>

These are angles, segment, triangles, etc that have exactly the same measures matches to Congruent

The concept of congruence stands for equal things. So line segments are congruent if they have the same length, angles are congruent if they have the same measure and, in general, shapes are congruent if you can turn one into the other by moving, rotating or flipping.

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This is an angle having a measure greater than 90° and up to 180° matches to obtuse angle

In fact this is the definition of obtuse angles, if an angle has a measure greater than 90°, but also less than 180°, it's called an obtuse angle

<h2>5. Answer: </h2>

This is an angle whose measure is exactly 90° matches to Right  

In fact this is the definition of right angles, 90° angles are also known right angles. This kind of angles are often labeled with tiny squares.  

<h2>6. Answer: </h2>

Two angles whose measures add up to 180° matches to straight angle  

Angles that add up to 180° are called supplementary angles. For instance, 60° and 120° are supplements to each other because they add up to 180°.

<h2>7. Answer: </h2>

These are angles opposites one another at the intersection of two lines matches to vertical angles

Angles on opposite sides of intersecting lines are called vertical angles. This is the name of this type of angles because they have the same vertex, or corner, at the intersection. Vertical angles are always congruent to each other meaning this they always have the same measure.

<h2>8. Answer: </h2>

These are two angles in a plane which share a common vertex and a common side but do not overlap matches to adjacent angles

This is the definition of adjacent angles. They have a common side and a common vertex but they don't overlap. So if the vertex is called B, we have formed the angles ∠ABC and ∠CBD and these two angles don't overlap.

<h2>9. Answer: </h2>

This is an angle with a measure of 180 degrees matches to straight angle  

180° angles are straight angles. As you can see from the figure in the image, straight angles are identified for being in a straight line.

<h2>10. Answer: </h2>

This is the angle formed with you extend a side of the polygon it is adjacent to the interior angle of the polygon matches to exterior angle.

They're called exterior angles because they're outside the parallel lines formed when extending a side of the polygon and they're called alternate angles because they're on different sides of the transversal and they touch different parallel lines.

5 0
3 years ago
Find x, y and ab and how to check if the answer is right ​
iris [78.8K]

Answer:

  x = 2, y = -2, AB = 142

Step-by-step explanation:

The fact that X is the midpoint gives you two relations:

  AX = XB

  AX + XB = AB

Since you have two unknowns, this number of equations is sufficient to find their values. Substituting the given expressions in the above equations, you have ...

  • 8(3x+5) -3(y-7) -22x = 5x +y +23 -4(x-12)
  • 8(3x+5) -3(y-7) -22x + 5x +y +23 -4(x-12) = 2x -5y +128

Simplifying the first of these can make simplifying the second one easier.

  24x +40 -3y +21 -22x = 5x +y +23 -4x +48

  2x -3y +61 = x +y +71 . . . . . . we can use this simplification

  x -4y = 10 . . . . . . . . . . . . . . . . subtract x+y+61

Now, we can simplify the second equation to ...

  2x -3y +61 +x +y +71 = 2x -5y +128

  3x -2y +132 = 2x -5y +128 . . . . . simplify the left side

  x +3y = -4 . . . . . . . . . . . . . . . add -2x+5y-132

Then the two equations we need to solve are ...

  • x -4y = 10
  • x +3y = -4

Subtracting the second from the first, we get

  -7y = 14

  y = -2

Substituting into the first of these simplified equations, we get

  x -4(-2) = 10 . . . . substitute for y

  x +8 = 10 . . . . . . .evaluate

  x = 2 . . . . . . . . . .subtract 8

So, the solution is (x, y) = (2, -2).

Now, the values of AX and XB are ...

  AX = 2x -3y +61 = 2·2 -3(-2) +61 = 71

  XB = x+y+71 = 2 +(-2) +71 = 71 . . . . . . . . matches AX, a good sign

  AB = 2x -5y +128 = 2·2 -5(-2) +128 = 142 . . . . = AX+XB, another good sign

The desired values are x = 2, y = -2, AB = 142.

_____

You check the answer by filling the values into the expressions given in the problem statement and seeing if you get consistent results. Here, we used the simplified expressions, rather than the original expressions, so if we did the simplification wrong, we may have the wrong answer. It is always best to use the original equations. (A machine solver working with the original equations confirms our result, so "confidence is high.")

4 0
3 years ago
17. If a + b = c, which of the following statements is true?
Scilla [17]

Answer:

c: c-a = b

.................

5 0
3 years ago
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