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Nady [450]
3 years ago
14

Point S is on line segment RT given ST=3x-8, RT = 4x, and RS = 4x - 7, determine the numerical length of RT

Mathematics
1 answer:
seraphim [82]3 years ago
8 0

Answer:

20

Step-by-step explanation:

Segment ST is half and RS is the other half. RT is the whole line so adding ST and RS will get you RT. 4x-7+3x-8=4x. solve for x which will get you 5. Replace the x with 5 in 4x (for segment RT) will get you an answer of 20 for the whole line.

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Is x = 3 a solution of the equation 3x − 5 = 4x − 9? Explain.
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Answer:

no because on is equal to 3 when plugged in and the other is equal to 4 when plugged in.

Step-by-step explanation:

3(3)-5=4\\4(3)-9=3

5 0
3 years ago
Two-thirds of the sum of a number squared and 5 is fourteen
RideAnS [48]

Answer:

2/3( x^2 + 5 ) = 14 or 2/3x^2 - 32/3

Step-by-step explanation:

Part 1:

Two-thirds ( 2/3 )

of the ( (---) )

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Part 2 (Not super confident about):

2/3( x^2 + 5 ) = 14

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Hopefully this helps!

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7 0
3 years ago
12. Find the surface area of each figure to the nearest tenth.
Zolol [24]

Answer:

  12a. 471.2 cm²

  12b. 60 m²

Step-by-step explanation:

Part A.

The surface area of each figure is the sum of the end area and the lateral area.

  <u>cylinder</u>

  S = (2)(πr²) +2πrh = 2πr(r +h)

  S = 2π(5 cm)(5 cm +10 cm) =150π cm² ≈ 471.2 cm²

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  <u>triangular prism</u>

  S = (2)(1/2)bh + PL . . . . b=triangle base; h=triangle height; P=triangle perimeter; L=length of prism

  S = (4 m)(1.5 m) + ((4 + 2·2.5) m)(6 m) = (6 + 54) m² = 60 m²

_____

Part B.

Surface area is useful in the real world wherever products are made from sheets of material or wherever coverings are applied.

Carpeting or other flooring, paint, wallpaper are all priced in terms of the area they cover, for example.

The amount of material used to make containers in the shapes shown will depend on the area of these containers (and any material required for seams).

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3 years ago
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KATRIN_1 [288]

The correct answers on edge are C and E

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3 years ago
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If Denise has 3000 water bottles and gave 4x345 away, how many would she have left?
oee [108]
4x345=1380

3000-1380=1621

Answer= Denise would have 1,621 water bottles left
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