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Zanzabum
3 years ago
13

Solve (1/6+2 2/3)x(1 1/4-1/2)

Mathematics
1 answer:
andrew11 [14]3 years ago
7 0

Answer:

Step-by-step explanation:

The expression is

(1/6+2 2/3)x(1 1/4-1/2)

Looking at the first parenthesis, (1/6 + 2 2/3), 1/6 is a proper fraction while 2 2/3 is a mixed fraction. We would convert 2 2/3 to improper fraction. It becomes 8/3. The first parenthesis becomes (1/6 + 8/3). The LCM is 6 so it becomes

(1 + 16)/6 = 17/6

Looking at the second parenthesis, (1 1/4 - 1/2), 1/2 is a proper fraction while 1 1/4 is a mixed fraction. We would convert 1 1/4 to improper fraction. It becomes 5/4. The second parenthesis becomes (5/4 - 1/2). The LCM is 4 so it becomes

(5 - 2)/4 = 3/4

The expression becomes

17/6 × 3/4 = 17/8 = 2 1/8

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7 0
3 years ago
A rectangular television screen has an area of w^2 + 2w square inches if the width of the television screen is w inches, what is
gregori [183]

 

The area of a rectangle is:

A =  length × width

A rectangular television screen has an area:

A = w² + 2w inches²

width = w

length = A / width  = (w² + 2w) / w = w(w + 2) / w = <u>w + 2</u>

Ansver:

<h2><u>length = w + 2</u></h2><h2><u></u></h2><h2><u></u></h2>
3 0
3 years ago
What is the volume of the composite figure? (Round to the nearest hundredth. Use 3.14 for x.)
marshall27 [118]

The volume of the composite figure is the third option 385.17 cubic centimeters.

Step-by-step explanation:

Step 1:

The composite figure consists of a cone and a half-sphere on top.

We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.

Step 2:

The volume of a cone is determined by multiplying \frac{1}{3} with π, the square of the radius (r²) and height (h). Here we substitute π as 3.1415.

The radius is 4 cm and the height is 15 cm.

The volume of the cone :

V = \frac{1}{3} \pi r^{2} h = \frac{1}{3} (3.1415)(4^{2} )(15) = 251.32 cubic cm.

Step 3:

The area of a half-sphere is half of a full sphere.

The volume of a sphere is given by multiplying \frac{4}{3} with π and the cube of the radius (r³).

Here the radius is 4 cm. We take π as 3.1415.

The volume of a full sphere \frac{4}{3} \pi r^{3} = \frac{4}{3} (3.1415) (4^{3}) = 268.07 cubic cm.

The volume of the half-sphere =\frac{1}{2} (268.07) = 134.037 cubic cm.

Step 4:

The total volume = The volume of the cone + The volume of the half sphere,

The total volume 251.32+134.037 = 385.357 cub cm. This is closest to the third option 385.17 cubic centimeters.

5 0
3 years ago
Solve for x in the equation 3 x squared minus 18 x + 5 = 47.
ryzh [129]

Answer:

x= 3 +\sqrt{23}, 3 -\sqrt{23}

Step-by-step explanation:

You use the quadratic formula to get x= \frac{18+6\sqrt{23} }{6} ,\frac{18-6\sqrt{23} }{6}

Then you simplify and get the answers x= 3 +\sqrt{23}, 3 -\sqrt{23}

​​  

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6 0
3 years ago
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Answer:

B.

Step-by-step explanation:

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2 years ago
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