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Answer:

Step-by-step explanation:

The volume of a prism is the product of the area of the base and the height of the prism. Prism volume (V) = B × h, where, B is the area of the base and h is the height of the prism. = l × w × h, where l, w, and h are the length, width, and height of the rectangular prism.

The volume of the triangular prism with dimension 2.5 cm, 3.2 cm and 8 cm is 32 cm³.

Given is a triangular prism with dimension 2.5 cm, 3.2 cm and 8 cm.

We need to find its volume.

The volume of the triangular prism = base area × height

Here,

Base area = area of the triangle

= 1/2 × base × height

= 1/2 × 3.2 × 2.5

= 4 cm²

And,

Height of the prism = 8 cm

Substituting the values,

V = 4 × 8

V = 32 cm³

Hence the volume of the prims is 32 cm³.

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Answer:

B

Step-by-step explanation:

Probability of apple :

No. of apple / No. of fruits

• 10/50

• 0.2

Probability of banana :

No. of banana / No. of fruits

• 15/50

• 0.3

Probability of lemon :

No. of lemon / No. of fruits

• 6/50

• 0.12

Probability of orange :

No. of orange / No. of fruits

• 14/50

• 0.28

Probability of pear :

No. of pear / No. of fruits

• 5/50

• 0.1

Answer: y= 1/5x+2 and 3/5x+3 and spmeyjonddhoiwejs

Step-by-step explanation:

Answer:

The answer is 11/12! Hope it helps!

Answer:

21

Step-by-step explanation:

The area of a triangle is (1/2) * base * height. In this case, the base is the distance between (-5, -2) and (1, -2), meaning it's 6 units. The height is the distance from (-3, 5) to the line y = -2, so the height is 7 units. So, the area is (1/2) * 6 * 7 = 21 square units

Answer:

1.  18n+9

2. 6s-54

3. 3x+12

4. 6s

5. 5z+30

the probability of rolling a sum of 4 when rolling a 6-sided die twice is,

⇒ 3 / 36.

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Now, To determine the probability of rolling a sum of 4 when rolling a 6-sided die twice, we need to first find all the possible outcomes when rolling a die twice.

Since, There are 6 possible outcomes when rolling a single die:

1, 2, 3, 4, 5, or 6.

Now, When rolling two dice, we can combine each of these outcomes with every other outcome.

Hence, This gives us a total of 6 x 6 = 36 possible outcomes when rolling two dice.

Thus, To find the number of outcomes that add up to 4, we can list them out:

1 + 3

2 + 2

3 + 1

So, there are three possible outcomes that add up to 4.

Hence, To find the probability of rolling a sum of 4, we need to divide the number of outcomes that add up to 4 by the total number of possible outcomes:

⇒ P(sum of 4) = 3/36

Therefore, the probability of rolling a sum of 4 when rolling a 6-sided die twice is 3 / 36.

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Answer:

The scale factor is 4, which represents an enlargement. And it grows from 0.25 to 0.8.

Step-by-step explanation:

The original hexagon has been enlarged by a scale factor of 4, meaning that each length and width of the original hexagon has been multiplied by 4. This means that the dimensions of the second hexagon are 4 times larger than the dimensions of the first hexagon.

In this case, the original side length of 0.25 has been multiplied by 4, resulting in a new side length of 0.25 * 4 = 1. This represents an enlargement of the original hexagon, since all dimensions have increased.

To summarize, the first hexagon has been scaled up by a factor of 4 to form the second hexagon, resulting in an enlargement of the original shape. The side length of the original hexagon has increased from 0.25 to 0.8, which represents the growth of the hexagon.

Answer:

Step-by-step explanation:

jbariupbwaurcibrievb

Answer:  Function

Step-by-step explanation:

I know bc im a teacher

Answer: A: Yes

B: 12 Customers

Step-by-step explanation:

Part A: Yes since each time it can go up by 1 for customers and 48 for towers each time

Part B: 1 customer (thousands) is equal to 48 towers

so if there are 576 towers let's divide: 576/48 = 12

There will be 12 customers (thousands) for 575 towers

Step-by-step explanation:

Since Elsa is running at 2 and Anna at 1.75, we can first subtract

2 - 1.75 = 0.25, meaning each second Else gains 0.25m

Now that Anna was given a 10m headstart, we can divide 10 by 0.25

10/0.25 = 40

Meaning it would take 40 seconds for Elsa to catch up

Answer: (b) - surface area

              (c) - volume

Answer: 3 1/3

Step-by-step explanation:

glasses/hour = ((1/6) glasses) / ((1/20) hour)

= ((1/6) glasses) * (20/hour)

=20 glasses / 6 hour

=10 glasses / 3 hour

= 3 1/3 glasses/hour

y = (1/6)x + 7

y = mx + b is the slope intercept equation

slope (m) = 1/6 which is rise/run so up 1, and right 6

point (-6, 6) means x = -6 and y = 6

substitute variables to see what is left to find.

6 = (1/6)(-6) + b --> solve for b.

6 = -1 + b --> 7 = b *** now reapply to slope intercept form with the exception of points (x, y) to obtain slope intercept formula.

y = (1/6)x + 7

Answer:

i think it is

8,31,39,70,109

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

yes

Answer:

21ft

Step-by-step explanation:

We are given that the support post is 10 ft tall.

Let x represents the distance between the support post and the front of the house, that means that 25-x will be the distance from back.

By Geometric Mean Theorem, the length of the altitude to the hypotenuse of a right triangle is the geometric mean of the lengths of the segments of the hypotenuse.

So, by the previous Theorem, we get:

We got that the distance between the support post and the front of the house is 4 ft, while the distance between the support post and the back of the house is  ft.    

Answer:

Change in temperature is +8° C

Step-by-step explanation:

Change in temperature = Final temperature - Initial temperature:

                                =ΔT = [tex]F_{T} - I_{T}[/tex]

                                        = (- 2° C)- (- 10° C)

                                        = [tex]- 2 + 10[/tex]

∴ Change in temperature  = + 8° C

Answer:

The answer here is 240!

Answer:

1. 9, 4

2. 46, 10

3. 18, 14

4. 10, 14

5. 17, 32

6. 5, 7

7. 3, 70

8. 3, 20, 10

9. 7, 16

10. 7, 5

11. 9, 120

12. 12, 1

Step-by-step explanation:

Definition of coefficient. Your welcome :)

∠CAB +∠ CBA +∠ ACB = 180°

Sum of all angle of triangle is 180° ..

75 + 75 + ∠ACB = 180°

∠ACB = 180° - 150°

∠ACB = 30°

Now ,

x = ∠ACB ( being vertically opposite angle)

x = 30°

The angle measure of x is 30°.

The polygon known as a triangle has three sides and three vertices.

The triangle's total angle is 180 degrees.

Given that a triangle has 2 known angles measuring 75° and 75°.

Let the third missing angle measure is y.

And y and x are opposite angles in the diagram.

So, x = y.

The sum of all the interior angle measures of a triangle is 180°.

So, 75 + 75 + y = 180

y = 180 - 150

y = 30°

So x = y = 30°

Therefore, x = 30°.

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Answer:

274

Step-by-step explanation:

The 2nd, 5th, 8th, 11th, 14th digits are equal and so are the 3rd, 6th, 9th, 12th, 15th.

The credit card number is 4274274274274274 and the last three digits are 274.