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Leya [2.2K]
3 years ago
6

Work out the area of the shaded region.

Mathematics
1 answer:
Makovka662 [10]3 years ago
5 0

Answer: Area of the shaded region is 6.867 square cm

Step-by-step explanation:

The shaded area corresponds to the difference of the area of the rectangle and the area of the semicircle.

Area of the rectangle = 4 times 8 = 32 cm^2

Area of the semicircle = 0.5 * pi * r^2   (where r is the radius, i.e., half of the diameters, i.e., 4 cm). So Area = 0.5*pi*4^2 = 25.133 cm^2

The difference: 32 - 25.133 = 6.867 cm^2 (area of the shaded region)

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Answer is d. -5/3 because y2-y1 =x2-x1
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3 years ago
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The low temperature during 4 days in September was 21°C, 21°C, 19°C and 19°C. What was the mean temperature?
Snowcat [4.5K]

Answer:

Step-by-step explanation:

The Answer is 20.

1: First, add up all the temperatures that has been provided, 21 + 21 + 19 + 19. It should give you 80.

2: Divide 80 by how many temperatures has been shown. There were 4 temperatures shown, so 80/4 = 20. Hope this helps you!

5 0
3 years ago
The graph of a system of linear equations with the same slope and the same y-intercepts will have no solutions.
kkurt [141]

Answer:

Never

Step-by-step explanation:

If two equations have the same slopes and the same y-intercepts they are equivalent to each other

Here's why:

The formula for a linear equation is y= mx +b

b= y- intercept

m= slope

m and b are only variable that have to be replaced by a number for the equation to be complete

Therefore, when m and b (or the slope and the y-intercept)  of both equations are the same, the two equations are the same

The answer would be <em>allrealnumbers, </em>not <em>nosolutions</em>

Hope this helps!!!

7 0
3 years ago
The ratio of pretzels to crackers in a snack mix recipe is 11:9. What percent of the mix is
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Solve the system of equations by graphing. x+y=-9 4x+y=-19
shutvik [7]

For this case we have the following system of equations:

x + y = -9\\4x + y = -19

We multiply the first equation by -4:

-4x-4y = 36

We have the following equivalent system of equations:

-4x-4y = 36\\4x + y = -19

We add the equations:

-4x + 4x-4y + y = 36-19\\-3y = 17\\y = - \frac {17} {3}

We find the value of the variable "x":

x = -9-yx = -9 - (- \frac {17} {3})\\x = -9 + \frac {17} {3}\\x = \frac {-27 + 17} {3}\\x = - \frac {10} {3}

Thus, the solution of the system is:

(x, y): (- \frac {10} {3}, - \frac {17} {3})

See the graphic in the attached image

ANswer:

(x, y): (- \frac {10} {3}, - \frac {17} {3})

See the graphic in the attached image

4 0
4 years ago
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