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vazorg [7]
3 years ago
15

A square with side lengths of 3x + 3. An equilateral triangle with side lengths of 5 x + 0.5. The perimeters of the square and t

he equilateral triangle are equal. Which equation represents this scenario? What is the value of x? What is the perimeter of the polygons?
Mathematics
2 answers:
aleksklad [387]3 years ago
4 0

Answer:

1) 4(3x+3)=3(5x+0.5)

2) 3.5

3) 54 units

katen-ka-za [31]3 years ago
4 0

Answer:

1) 4(3x+3)=3(5x+0.5)

2) 3.5

3) 54 units

e2020

Step-by-step explanation:

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A hemisphere fake stone made of clay has a diameter of 16 inches. The density of clay is 0.0035 pounds per cubic inch. The clay
Rufina [12.5K]

Answer:

$137.82

Step-by-step explanation:

The volume of a hemisphere stone is given by the volume of a half-sphere:

Volume = (2/3) * pi * radius^3

If the diameter is 16 inches, the radius is 16/2 = 8 inches, so the volume is:

Volume = (2/3) * pi * 8^3 = 1072.33 in3

We need a total of 8 stones, so the total volume is:

Total Volume = 8 * 1072.33 = 8578.64 in3

The density of clay is 0.0035 pounds per cubic inch, so the total weight of the 8 stones is:

Weight = Total Volume * density = 8578.63 * 0.0035 = 30.0252 pounds

Finally, if the price of each pound of clay if $4,59, the final price is:

Price = 30.0252 * 4.59 = $137.82

8 0
3 years ago
Solve this plsss..........​
kari74 [83]

Answer:

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Step-by-step explanation:

4 0
3 years ago
The perimeter of △CDE is 55 cm. A rhombus DMFN is inscribed in this triangle so that vertices M, F, and N lie on the sides CD ,
ivanzaharov [21]

Answer:

  CD = 14 cm; DE = 21 cm

Step-by-step explanation:

The perimeter is the sum of side lengths (in centimeters), so ...

  CD + DE + CF + EF = 55

  CD + DE + 8 + 12 = 55 . . . . . . . substittute for CF and EF

  CD + DE = 35 . . . . . . . . . . . . . . subtract 20

___

The segment DF is a diagonal of the rhombus, so bisects angle D. That angle bisector divides ΔCDE into segments that are proportional. That is, ...

  CD/DE = CF/EF = 8/12 = 2/3

___

So, we have two segments whose sum is 35 (cm) and whose ratio is 2 : 3. The total of "ratio units is 2+3=5, so each must stand for a length unit of 35/5 = 7 (cm). The sides are ...

  CD = 2·7 cm = 14 cm

  DE = 3·7 cm = 21 cm

<em>Check</em>

  CD + DE = (14 +21) cm = 35 cm . . . . . matches requirements

7 0
3 years ago
-(x-5)^(1/4)+(7/3)=2 solve for x
Arisa [49]
I think the answer is 406/81. 

5 0
3 years ago
Im having such a hard time solving this plz help
expeople1 [14]

Answer: 38 Bags

Step-by-step explanation:

Since there are 19 people and each person needs 24 beads, the total number of beads needed is 19*24=456. Then if this total must be split up into groups of 12 beads, the answer would be 456/12=38.

3 0
3 years ago
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