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stich3 [128]
2 years ago
5

A cylindrical glass holds 37683768 cubic centimeters of water. It has a height of 1212 cm. Find the area of the base of the glas

s.
Mathematics
1 answer:
zaharov [31]2 years ago
4 0

Answer:

31092.2178

Step-by-step explanation:

Divide the volume (37683768) by the height (1212) to get the area/length x width.

37683768 / 1212 = 31092.2178

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Help I don’t know how to figure this problem out
Montano1993 [528]
3x + 10 = 5x - 4
14 = 2x
x = 7 

measure of the angles is 3(7) + 10  = 31 degrees
5 0
2 years ago
What set of transformations is performed on triangle RST to form triangle R’S’T’?
ra1l [238]

Answer:

D. A translation 2 units down followed by a 270-degree counterclockwise rotation about the origin

Step-by-step explanation:

The given triangle has vertices at R(3,4), S(1,1), and T(5,1)

Translating the the vertices down by 2 units, we apply the rule;

(x,y)\to (x,y-2)

\implies (3,4)\to (3,2)

\implies (1,1)\to (1,-1)

\implies (5,1)\to (5,-1)

Rotating the resulting vertices through an angle 270 degrees counterclockwise, we apply the rule:

(x,y)\to (x,-y)

\implies (3,2)\to R'(2,-3)

\implies (1,-1)\to S'(-1,-1)

\implies (5,-1)\to T'(-1,-5)

Therefore the correct choice is D.

4 0
3 years ago
Determine the end behavior for function ƒ(x) = –x(x – 8)(2 – x).
saveliy_v [14]
It's a cubic with a positive x^3 coefficient. The general shape is "/".

It goes to -∞ for large negative x.
It goes to +∞ for large positive x.

4 0
3 years ago
One side of a rectangle is 10 feet shorter than twice another side. Find the length of the shorter side if we also know the peri
seropon [69]

Answer:

  6 feet

Step-by-step explanation:

Let x represent the length of "another side." Then "one side" is ...

  2x -10 . . . . . . 10 feet shorter than twice another side

The sum of these two side lengths is half the perimeter, so is ...

  x + (2x -10) = 14 . . . . . two sides are half the perimeter

  3x = 24 . . . . . . . . . . . . add 10, collect terms

  x = 8 . . . . . . . . . . . . . . .divide by the coefficient of x

  (2x -10) = 2·8 -10 = 6 . . . . find "one side"

We have found "one side" to be 6 feet long, and "another side" to be 8 feet long. The shorter side is 6 feet.

8 0
2 years ago
A hot air balloon hovers 75 feet above the ground. The balloon is tethered to the ground
DIA [1.3K]

Angle of elevation is 37°

<u>Step-by-step explanation:</u>

As we have the opposite side 75 ft to the angle and the hypotenuse 125 ft, we can find the sine value as,

sin θ = opp/ hyp

       = 75/125

     = 0.6

θ = sin⁻¹ (0.6) = 36.9°≈ 37°

So angle of elevation is 37°.

3 0
3 years ago
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