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grin007 [14]
3 years ago
7

Trey has plastic cubes stored in a box that measures 4 ft long, 2 1/2 ft wide, and 2 ft tall. The edge length of each plastic cu

be is 1/2 ft. How many plastic cubes can fit into the box?
Mathematics
2 answers:
Bumek [7]3 years ago
7 0

Answer:

160

Step-by-step explanation:

i go to k12

iVinArrow [24]3 years ago
4 0
Your answer is 160 i had this on a test hope this helps
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1.8x+9=-5.7x=6 what is the answer
Jobisdone [24]

Answer:

x=2

Step-by-step explanation:

In the picture.

I hope that it's a clear solution.

3 0
3 years ago
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The perimeter of a rectangle is 60. The length is 10 more than the width. find the length and width
Elenna [48]

Answer:

Width is 10  Length is 20

Step-by-step explanation:

Perimeter = 60

Length = W + 10

P = 2L + 2W                      Write the equation for perimeter

60 = 2(W + 10) + 2W         Substitute your variables

60 = 4W + 20

- 20          - 20                Subtract 20 from both sides

40 = 4W                        Divide both sides by 4

10 = W

8 0
3 years ago
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Runner A is initially 6.0 km west of a flagpole and is running with a constant velocity of 3.0 km/h due east. Runner B is initia
ArbitrLikvidat [17]

Answer:

The distance of the two runners from the flagpole is 0.0882 km

Step-by-step explanation:

We are going to use the minus sign when the runner is on the west and the plus sign when the runner is on the east.

Then, Taking into account  the runner A is 6 km west and is running with a constant velocity of 3 Km/h east, the distance of the runner A from the flagpole is given by the following equation:

Xa = -6 Km + (3 Km/h)* t

Where Xa is the position of the runner A from the flagpole and t is the time in hours.

At the same way the distance of the runner B, Xb, from the flagpole is given by the following equation:

Xb = 7.4 Km - (3.8 Km/h)*t

Then, the two runners cross their path when Xa is equal to Xb, so if we solve this equation for t, we get:

              Xa = Xb

     -6 + (3*t) =  7.4 - (3.8*t)

(3.8*t) + (3*t) = 7.4 + 6

         (6.8*t) = 13.4

                  t = 13.4/6.8

                  t = 1.9706

Therefore, at time t equal to 1.9706 hours, both runners cross their path. The distance of the two runners from the flagpole can be calculated replacing the value of t in equation for Xa or in equation for Xb as:

Xa = -6 Km + (3 Km/h)* t

Xa = -6 Km + (3 Km/h)*(1.9706 h)

Xa = -0.0882 Km

That means that both runners are 0.0882 Km west of a flagpole.

4 0
3 years ago
Given: Circle k(O) Diameter <br><br>XY tangent WZ, XY = 10, and WZ = 12 .Find: YZ
PtichkaEL [24]

Answer:

<h2>Side YZ is 8 units long.</h2>

Step-by-step explanation:

We can deduct form the graph that segment WO is a radius of the circle and XY is its diameters.

By given, we know that XY = 10, which means WO=\frac{XY}{2}=\frac{10}{2}=5, by radius definition.

An important characteristic of tangents about circles is that the tangent is always is perpendicular to the radius, that means \angle OWZ = 90\°\\ and \triangle OWZ is a right triangle, that means we can use Pythagorean's Theorem to find the side YZ.

OZ^{2} =WZ^{2}+OW^{2}

Where OZ is the hypothenuse and WZ , OW are legs of the triangle.

Replacing all given values, we have

OZ^{2}=12^{2}+5^{2}\\OZ=\sqrt{144+25}=\sqrt{169}\\  OZ=13

However, by sum of segments, we have

OZ=OY+YZ, where OY=OW=5 and OZ=13

13=5+YZ\\YZ=13-5\\YZ=8

Therefore, side YZ is 8 units long.

3 0
3 years ago
What is the domainof f(x)=4^x
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Answer:

Step-by-step explanation:

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