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sertanlavr [38]
3 years ago
15

Martin has collected 18 U.S. stamps and 12 international stamps. He wants to display them in identical groups of U.S. and intern

ational stamps, with no stamps left over. What is the greatest number of groups Martin can display them in?
Mathematics
1 answer:
professor190 [17]3 years ago
3 0
12 groups of two stamps
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Isabel stacked two wooden blocks as shown. What is the total volume of the stacked blocks?
Kobotan [32]

9514 1404 393

Answer:

  156 cm³

Step-by-step explanation:

The volume of any prism is the product of the base area and the height of the prism. Here, we can take the "base" to be the front face of the assembly, and its "height" to be the 3 cm distance between the front and back faces.

The front face area is the sum of the triangle area and the rectangle area.

  A = 1/2bh + LW

  A = (1/2)(10 cm)(4 cm) + (16 cm)(2 cm) = 52 cm²

Then the volume is ...

  V = Bh = (52 cm²)(3 cm) = 156 cm³ . . . . total volume of the two blocks

8 0
3 years ago
Integers help me with this question
____ [38]

9514 1404 393

Answer:

  5196 m

Step-by-step explanation:

The difference in elevation is found by subtracting one elevation from the other. Usually, we're interested in the positive difference, so we subtract the smaller number from the larger.

  5040 -(-156) = 5040 +156 = 5196

The difference in elevation is 5196 meters.

5 0
3 years ago
Suppose that an object is dropped from a height of
Kamila [148]
Make hours to seconds to match meters
19.6*3600=70560 seconds
And is dropped from a height of 15.4 meters then the velocity will be
15.4m/70560s = 0.0002182539m/s
8 0
3 years ago
Using the geometric mean and Pythagorean theorem, calculate the values of the missing sides. Round your answers to the thousandt
Pachacha [2.7K]

Answer:

a = 9.849

b = 20.25

c = 491.03

Step-by-step explanation:

By using Pythagoras theorem in the right triangle BDC,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

BC² = BD² + DC²

a² = 9² + 4²

a = \sqrt{(81+16)}

a = \sqrt{97}

a = 9.8489

a ≈ 9.849 units

By mean proportional theorem,

\frac{\text{DC}}{\text{BD}}=\frac{\text{BD}}{\text{AD}}

AD × DC = BD²

b × 4 = 9²

b = \frac{81}{4}

b = 20.25 units

BY Pythagoras theorem in ΔADB,

AB² = AD² + BD²

c² = b² + 9²

c² = (20.25)² + 9²

c² = 410.0625 + 81

c = 491.0625

c = 491. 063 units

6 0
3 years ago
In addition to the facts in the diagram, which statement is necessary to prove that the two triangles are congruent by the SAS c
nasty-shy [4]
The best answer to go with is b
7 0
3 years ago
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