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DiKsa [7]
3 years ago
6

The value of 6/√12 −√3 is (A) √3 (B) -6√3 (C) 6√3 (D) 2√3

Mathematics
1 answer:
Taya2010 [7]3 years ago
6 0

Answer:

(D) 2√3

Step-by-step explanation:

From the above question ,we are asked to solve for:

6/√12 −√3

In other to simplify, we would expand the numerator of 6/√12

So we have;

= [6/(√4 ×√3)] - √3

= (6/ 2 ×√3) - √3

= (6/2 × √3) - √3

= (3 ×√3) - √3

= 3√3 - √3

= 2√3

Therefore, the value of 6/√12 −√3 is

option (D) 2√3

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Find the area of the shape shown below.
maw [93]

Answer:

The area is 28.

Step-by-step explanation:

Visualize the rectangle as 2 split squares.

The top square is easily 4x4, so the area of that part is 16.

Now visualize the bottom square as two rectangles.

To find the area of the dented side, you would use the equation of finding the area of a triangle, a=(w x h)\frac{1}{2} because the dented side is actually just one half of the rectangle on the other side.

Since it is the same height as the top square, but is 2 in width, it would be written as a=(2 x 4)\frac{1}{2} . So the area of that part is 4, and the area of the other rectangle would be just 2 x 4 so it is 8.

Totaling these numbers, you get the area of the full rectangle.

8 0
4 years ago
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Find the area of the figure below
satela [25.4K]

Answer:

The total area is 300 ft^2

Step-by-step explanation:

First find  the area of the rectangle

A = l*w = 24*10 = 240

Then find the area of the triangle on the top

A = 1/2 bh

The base is 24 and the height is 15-10 = 5

A = 1/2 (24)*5 = 60

Add them together

240+60 = 300

The total area is 300 ft^2

7 0
3 years ago
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PLS HELP TIMED QUIZ The size of a television screen is given as the length of the diagonal. If a television is advertised as hav
grin007 [14]

Answer:

D.24

Pythagorean states:

hypotenuse^2 = side1^2 + side2^2

30^2 = 18^2 + side2^2

side2^2 = 30^2 - 18^2

side2^2 = 900 - 324

side2^2 = 576

side2 = sqr root 576

side2 = 24

Source: http://www.1728.org/pythgorn.htm

Step-by-step explanation:

5 0
3 years ago
In ΔVWX, v = 390 inches, w = 390 inches and x=500 inches. What is the sum of ∠Vand∠W?
Stolb23 [73]
The answer would be 390+ 390 =780
6 0
3 years ago
In the given figure, mWY = 76° and mXZ = 112. What is the difference of the measures of angle WPY and angle XPY?
skelet666 [1.2K]

Please consider the attached image for complete question.

We have been given that measure of arc WY is 76° and and measure of arc XZ is 112°. We are asked to find the difference of of the measures of angle WPY and angle XPY.

First of all we will find the measure of angle WPY using intersecting secants theorem. Intersecting secants theorem states that measure of angle formed by two intersecting secants inside a circle is half the sum of intercepting arcs.

m\angle WPY=\frac{1}{2}(\widehat{WY}+\widehat{XZ})

m\angle WPY=\frac{1}{2}(76^{\circ}+112^{\circ})

m\angle WPY=\frac{1}{2}(188^{\circ})

m\angle WPY=94^{\circ}

We can see that angle WPY and angle XPY are linear angles, so they will add up-to 180 degrees.

m\angle WPY+m\angle XPY=180^{\circ}

94^{\circ}+m\angle XPY=180^{\circ}

94^{\circ}-94^{\circ}+m\angle XPY=180^{\circ}-94^{\circ}

m\angle XPY=86^{\circ}

Now we need to find difference of both angles as:

m\angle WPY-m\angle XPY=94^{\circ}-86^{\circ}

m\angle WPY-m\angle XPY=8^{\circ}

Therefore, the difference of the measures of angle WPY and angle XPY is 8 degrees.

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