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3 years ago

5

Is a power of

{x}^{ \frac{1}{2} } " alt=" {x}^{ \frac{1}{2} } " align="absmiddle" class="latex-formula">
the same as dividing by 2?

1 answer:

Savatey [412]3 years ago

3 0

No it is not. The 1/2 power is the equivalent to the square root, but it is not equivalent to dividing by 2.

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A rectangle is placed around a semicircle as shown below. The length of the rectangle is 8 cm. Find the area of the shaded regio

icang [17]

Answer:

Area of the shaded region = 6.88 cm²

Step-by-step explanation:

Area of the shaded region = Area of the rectangle - Area of the semicircle

Area of the rectangle = Length × Width

Length of the rectangle = AD = 8 cm

Width of the rectangle = OP = 4 cm [OP, OB and OC are the radii of the circle which are equal in measures]

Area of the rectangle = 8 × 4 = 32 cm²

Area of the semicircle = $\frac{1}{2}\pi r^{2}$

= $\frac{1}{2}\pi (OP)^{2}$

= $\frac{1}{2}\pi (4)^{2}$

= 25.12 cm²

Area of the shaded region = 32 - 25.12

= 6.88 cm²

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3 years ago

Three friends go out for pizza. A slice costs $3.75 a soda costs $2.25. If they each get a soda and a total of 8 slices, how muc

Tpy6a [65]

Answer= 36.75
3.75x 8 = 30
2.25x3= 6.75
6.75+30=36.75

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3 years ago

Select all points that are on the line through 0,5

Rus_ich [418]

Answer:

Options (1), (3), and (4)

Step-by-step explanation:

Since, slope of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by,

m = $\frac{y_2-y_1}{x_2-x_1}$

Therefore, slope of a line passing through (0, 5) and (2, 8) will be,

m = $\frac{8-5}{2-0}$ = 1.5

Equation of line passing through (x', y') and slope 'm' is,

y - y' = m(x - x')

Therefore, equation of a line passing through (0, 5) and slope = 1.5,

y - 5 = 1.5(x - 0)

y = 1.5x + 5

Since, all the points which lie on this line will satisfy this equation.

For (4, 11),

11 = 1.5(4) + 5

11 = 11

Point (4, 11) lies on this line.

Point (5, 10)

10 = 1.5(5) + 5

10 = 7.5 + 5

10 = 12.5

But 10 ≠ 12.5

Therefore, (5, 10) doesn't line on the line.

Point (6, 14)

14 = 1.5(6) + 5

14 = 14

True.

Therefore, (6, 14) lies on the line.

Point (30, 50)

50 = 1.5(30) + 5

50 = 50

True.

Therefore, (30, 50) lies on the line.

Point (40, 60)

60 = 1.5(40) + 5

60 = 65

But 60 ≠ 65

Therefore, (40, 60) doesn't lie on the line.

Options (1), (3) and (4) and the correct options.

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3 years ago

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Artemon [7]

Answer:

$51.2

Step-by-step explanation:

If you subtract 64 to 20% then you end up with $51.2

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Answer:

multiply

Step-by-step explanation:

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