MATHEMATICS MIDDLE SCHOOL

Really really need help A six-sided number cube is rolled. Find the probability of rolling a 3 or a number greater than 4.

A.1/8
B.1/6
C.1/2
D.2/3

Answers

Answer 1
Answer:


Well, there are 6 sides.

There are also 6 numbers: 1, 2, 3, 4, 5, 6

Okay, so the probability of rolling a 3 is 1/6 because that is just one number of the 6.

Okay, number greater than four are 5 and 6, and if you add 3 to that you get 3/6, or 3 out of 6 numbers.

If you simplify 3/6 you get 1/2.

Hope this helps!
Answer 2
Answer: There are 6 sides and numbers in the cube. (1,2,3,4,5,6)
Probability of rolling a 3 or a number greater than 4: there are 2 numbers greater than 4 (5 and 6) and one other number (3). In total, there are 3 numbers here.

So the probability of rolling 3 numbers out of 6 is 3/6, which can be simplified to 1/2.

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how many boxes on the shape of 1-meter cubes could you fit on a shipping container that has the dimensions 2 meters wide by 10 meters long by 3 meters high?A: 40boxes but how much material is needed to make this shipping container

Answers

The container can hold
(2 x 10 x 3) = 60 of the cubes.
To build the container, you take ...
2 panels that are 2 x 10 m
2 panels that are 2 x 3 m
and
2 panels that are 3 x 10 m.
Then you tape um all together.

Drag the orange point on the cube to change its side length. Then set the base of the pyramid to the same dimensions as a face on the cube. Also set the height of the pyramid to the same side length as the cube. Note the volumes of the cube and the pyramid. Record the volumes for a few sets of heights and bases, and then calculate the ratio of the volumes. Be sure the dimensions for the cube and the pyramid are the same in each set. (You might see some discrepancies in the tool due to rounding of decimals.) Round your calculations for the ratio to the hundredths place. The first one has been done for you.

Answers

Answer:

Sample answer for Edmentum and Plato:

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Alex built a snowman using three snowballs,one small, one medium and one large, with diameters in the ratio 2:3:5.      Although highly unlikely due to the physical properties of snow, suppose the three snowballs were perfectly spherical and stacked vertically, one on top of the other, as shown, with adjacent snowballs sharing a single point of tangency.      If the diameter of the medium snowball was 18 inches, what was the maximum height, in feet, of the snowman Alex built using the three snowballs?

Answers

(3)/(5)=(18)/(x)

\boxed{\boxed{x=30~in}}

and

(3)/(2)=(18)/(y)

y=12~in

Maximum~~height~~=~~12+18+30~~=~~60~in

them

1~in=(1)/(12)~ft

60~in=5~ft

\boxed{\boxed{\boxed{\therefore~Maximum~~height~~=~~60~in~~=~~5~ft}}}
ratio\ snowballs:\ \ 2:3:5\n medium\ snowball - 18\ in\n \n x-large\ snowball\n \frac35=\frac{18}x\n 3x=90\n x=30\ in\n\n \n y-small\ snowballs\n \frac23=\frac y{18}\n 3y=36\n y=12\ in\n \n 12+30+18=60\ in\n \n 1\ in - \frac1{12}\ ft\n 60\ in - z\ ft\n \n z=\frac1{12} \cdot 60= 5\ ft\n Answer: Maximum\ height\ is\ 5\ ft

Carlos says there are a total of 6,000 hundreds in the number 6,000,000.
Is Carlos correct?

Answers

We know that 1 hundred= 100= 1*10^2. Therefore, 6,000 hundreds is equal to:
6,000*(1*10^2)= 600,000

Because 600,000 ≠ 6,000,000, Carlos is wrong.

Hope this helps~

An exterior angle of a triangle is 140 degrees. If the non-adjacent angles are congruent, then what are the measures of all of the interior angles of the triangle?

Answers

The measures of all of the interior angles of the triangle are 70 degrees, 70 degrees and 40 degrees

Solution:

Given that exterior angle of triangle is 140 degrees

The exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles

Given that adjacent angles are congruent

Let one of the non adjacent interior angles be "x"

x + x = 140

2x = 140

x = 70

So the two interior angles are 70 degrees and 70 degrees

Let us find the third interior angle

The angle sum property of a triangle states that the interior angles of a triangle always add up to 180 degrees

70 + 70 + third angle = 180

third angle = 180 - 70 - 70

third angle = 180 - 140

third angle = 40 degrees

Thus the measures of all of the interior angles of the triangle are 70 degrees, 70 degrees and 40 degrees

Is 9.48 an irrational number?

Answers

No, it is rational because it can be written over a fraction (9 48/100)
No it's not. Because you could make it into a fraction.
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