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serious
5 days ago
13

Jane builds a ramp made of a triangular prism and a rectangular prism. What is the volume

Mathematics
2 answers:
Zina [9.1K]5 days ago
7 0
The volume is 11.5 m3. To answer this question, we must utilize the following formulas: Volume of a rectangular prism (R): length x width x height. Plugging in the provided values, we can find: V(R) = 4 x 2 x 1 = 8m3. Volume of a triangular prism (T): base area x height, where the base area is defined as A = 1/2 x base x height. Calculating the base area gives us A = 1/2 x 1 x 3.5 = 1.75m2. Now, applying the volume formula: V(T) = A x h = 1.75 x 2 = 3.5m3. By summing both volumes, we obtain: 8 + 3.5 = 11.5 m3. Please let me know if you have any further questions or need clarification.
PIT_PIT [9.1K]5 days ago
6 0
The right choice is the third option -> 11.5 m3. To calculate the volume of the ramp, one must first determine the volumes of the rectangular prism and the triangular prism: V_rectangular = 4m * 2m * 1m = 8 m3 V_triangular = (2m * 3.5m * 1m) / 2 = 3.5 m3. Therefore, to compute the total ramp volume, we combine both volumes: V_total = V_rectangular + V_triangular = 8 + 3.5 = 11.5 m3. Correct choice is the third one.
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A special shape is 2.02 m long and 1.22 m wide. A double row of tiles makes a border . Each tile is 2cm by 2cm. How many tiles a
Svet_ta [9486]

Response:

6.48

Detailed explanation:

The calculation required to determine the number of tiles for the border is presented below:-

= 2 \times (length + breadth)

Here,

The length measures 2.02 m

And the width is 1.22

Substituting these dimensions into the formula provided above

Consequently, the total number of tiles necessary to create the border is

= 2 \times (2.02 + 1.22)

= 2 \times 3.24

= 6.48

Hence, to find the tiles required for the border, we utilized the aforementioned formula.

3 0
2 days ago
En la figura adjunta se muestra un estuche de brocas de acero que sirven para perforar paredes de cemento. Las brocas están nume
lawyer [9226]

Respuesta:

1/16   2/16  3/16  4/16  5/16  6/16  7/16  8/16 9/16 10/16  11/16 12/16

Explicación paso a paso:

Para identificar las brocas existen dos aspectos a considerar:

1.- Las fracciones que comparten el mismo denominador aumentan en orden ascendente a medida que los numeradores incrementan, lo que significa que entre

9/16   3/16    7/16     5/16   11/16    el orden sería (de menor a mayor)

3/16     5/16     7/16     9/16     11/16

2.- Fracciones con diferentes denominadores pueden convertirse a un denominador común /16 multiplicando la fracción, por ejemplo

1/4   =  1*4/4*4   =  4/16

Aplicando este método, todas las fracciones se transforman al formato mencionado previamente y se organizan

1/4   = 4/16

3/8  = 6/16

1/2  = 8/16

5/8 =  10/16

1/8  =  2/16

Por lo tanto, hay diez brocas, comenzando con 1/16 hasta la número 12 que es 12/16

Finalmente, el orden sería:

1/16   2/16  3/16  4/16  5/16  6/16  7/16  8/16 9/16 10/16  11/16 12/16

4 0
5 days ago
Kevin is buying water for his camping trip. He knows he needs at least 20 gallons of water for the trip. He already has five and
PIT_PIT [9101]

Response:

5.5+0.25x\geq 20

Step-by-step breakdown:

Kevin has already gathered five and a half gallons of water for his trip

He understands that he requires a minimum of 20 gallons of water for the journey.

The water is packaged in 32-fluid ounce (quarter-gallon) containers.

1 fluid ounce equals 0.0078125 gallons

32-fluid ounce =32 \times 0.0078125 =0.25

Let x represent the number of 32-fluid ounce (quarter-gallon) containers needed to collect at least 20 gallons of water for the trip.

One container holds 0.25 gallons of water

Therefore, x containers hold 0.25x gallons of water

Thus, Kevin's total gallons of water =5.5+0.25x

Since it is given that he needs at least 20 gallons of water for the trip.

Hence, 5.5+0.25x\geq 20

Thus, the algebraic inequality representing this scenario is 5.5+0.25x\geq 20

5 0
4 days ago
Read 2 more answers
A frog is sitting exactly in the middle of a board that is five feet long. Every ten seconds he jumps one foot to the left or on
PIT_PIT [9101]

Answer:

Given that the frog jumps every 10 seconds

   (using digits from a random number table)

  • It requires 7 jumps with 2 in the reverse direction (either left or right) for the frog to get off the board in 60 seconds.
  • Alternatively, 3 jumps in the same direction will also lead to the frog being off the board.
  • Furthermore, it would take 5 jumps with one in the opposite direction within the time limit of 60 seconds to leave the board.

Step-by-step explanation:

A frog positioned right at the center of a 5ft long board is 2.5 ft away from either edge.

Every 10 seconds, the frog jumps left or right.

If the frog's jumps are LLRLRL, it will remain on the board at the leftmost square.

If it jumps as LLRLL, it will jump off the board after fifty seconds.

Given that the frog jumps every 10 seconds

   (using digits from a random number table)

  • It requires 7 jumps with 2 in reverse direction (either left or right) for the frog to get off the board in 60 seconds.
  • Alternatively, 3 jumps in the same direction will also lead to the frog being off the board.
  • Furthermore, it would take 5 jumps with one in the opposite direction within the time limit of 60 seconds to leave the board.
4 0
1 month ago
Alyssa is jogging near Central Park. She runs along 65th Street for about 0.19 miles, turns right and runs along Central Park We
zzz [9066]
Approximately 0.81 miles.
8 0
8 days ago
Read 2 more answers
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