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3 years ago

In the simplest radical form, what is the perimeter of a square with a diagonal of 12 cm?

1 answer:

7 0

Diagonal of a square is √2a
so,
√2 a = 12
a= 12/√2
and.. perimeter of a square is 4a
so,
peri = 4*12/√2
= 48/√2
=33.94cm

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Each week carrie works 40 hours she spend 15% of her time at register

VLD [36.1K]

Please, share the goal of the problem. If Carrie works 40 hours per week and spends 15% of her time at the register, how much time does she NOT spend at the register?

Subtract 15% from 100%; the result is 85%. Now find 85% of 40 hours:

0.85(40 hours) = 34 hours.

Please note that I invented part of this problem. Next time, share all of the info so that someone can help you solve YOUR particular problem.

3 0

3 years ago

Point R is the midpoint of line QS. R is located at (5, -7.5) S is located at (-1,-13) What is the location of Point Q?

Lisa [10]

Answer: ( 11, -2 )

Step-by-step explanation:

The mid point of a line is calculated using the formula:

M = ( $\frac{x_{1}+x_{2}}{2}$ , $\frac{y_{1}+y_{2}}{2}$ )

From the question , the mid point is already given , substituting , we have :

(5 , - 7.5 ) = ( $\frac{x-1}{2}$ , $\frac{y-13}{2}$ )

Equating the x component to x and the y component to y , we have

5 = $\frac{x-1}{2}$

x - 1 = 10

x = 11

Also

- 7.5 = $\frac{y-13}{2}$

-15 = y - 13

-15 + 13 = y

Therefore : y = -2

Therefore : the location of point P is ( 11, -2 )

7 0

3 years ago

The number of a certain company's video stores can be approximated by the linear equation y= -264x+4682, where x is the number o

ahrayia [7]

Answer:

Missing co-ordinate for the ordered pair is $(7,2834)$

Y-intercept is $(0,4682)$

X-intercept is $(17.73,0)$

Step-by-step explanation:

The number of a certain company's video stores can be approximated by the linear equation

$y= -264\ x+4682$

where $y$ is the number of stores and $x$ represents the number of years after 1990.

To find the missing co-ordinate for the ordered pair solution $(7,?)$

For the ordered pair, we are given the $x$ value which is =7 i.e 7 years after 1990. Thus we will plugin $x=7$ in the linear equation to get the $y$ value which is number of stores after 7 years from 1990.

$y= -264\ (7)+4682$

$y= -1848+4682$

$y= 2834$

Thus the ordered pair is $(7,2834)$

To find y-intercept which is the point where the line touches the y-axis, we would plugin $x=0$ in the equation as the x-coordinate is 0 at y-axis.

$y= -264\ (0)+4682$

$y= 0+4682$

$y=4682$

Thus y-intercept is at point $(0,4682)$

To find x-intercept which is the point where the line touches the x-axis, we would plugin $y=0$ in the equation as the y-coordinate is 0 at x-axis and thus for $x$