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Stella [2.4K]
3 years ago
6

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

n. Use the value 3.14 for at, and do not round your answer. Be sure to include the correct unit in your answer.
PLEASE HELP​

Mathematics
1 answer:
icang [17]3 years ago
3 0

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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Answer:

y=-2x+4

Step-by-step explanation:

y=mx+b where m is the slope b is the y-intercept.

Plug in values to get:

y=-2x+4

8 0
2 years ago
Solve 3x+2y=4 4x+3y=7 algebraically
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Step 1. Multiply first equation with -3 and the second one with 2. You'll get:
\left \{ {{-9x-6y=-12} \atop {8x+6y=14}} \right.

Step 2. Add both equations together. You'll get:
-x=2, which gives x = -2

Step 3. Replace x = -2 in the first equation and calculate y.
3(-2)+2y=4\\
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8 0
3 years ago
EXPAND THE POLONOMIAL <br><br> (5a+1/2b)^2 HELPPP ASAP
stepan [7]

Answer:

25a^{2}+5ab+\frac{b^{2} }{4}

Step-by-step explanation:

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1. First, write out the expression without the square

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2. Then use foil to multiply:

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8 0
3 years ago
Greta currently works 45 hours per week and earns a weekly salary of $729. She
marissa [1.9K]

Answer:

Greta will be earning 3.6/h more at her new job.

Step-by-step explanation:

To find the difference subract Greta‘s salary from her current job from Greta’s salary from her future job.

To find Greta’s salary (numerator) at her future job divide her current weekly salary ($729) by 45h then multiply that answer (16.2) by the increase in salary 10% or 1.1. You should end up with $17.82- this is your numerator. To find the denominator divide her current hours (45h) by 45 then multiply that answer (1) by 0.9 which is the 10% decrease in hours. Now you have a fraction ($17.82/0.9) then multiply that fraction by 1.1/1.1 to get the denominator to 1 hour so you can subtract the fractions. You should end up with $19.8/h.

Now subtract Greta’s current salary ($16.2/h)- you just take the numbers from the first part before you increase or decrease- from her future salary ($19.8/h), you will end up with 3.6/h.

I was challenged to write this in a single equation:

[((($729\45h)x1.1)/((45h\45)x0.9))x1.1/1.1]-[($729\45h)/(45h\45)]

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/ means a fraction bar

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Also I am just a student so please tell me if you find any mistakes I could fix or any suggestions to make this a better explanation, and if you have any questions ask away.

4 0
2 years ago
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The line segment AB is divided at point P, which has coordinates P(0,-7.5)

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Given are,

A line segment AB with coordinates of A(0,0 ) and B(-15,0) respectively

Two minor line segments, AP and PB, are created from the line segment AB by the provided point P

We must determine the dividing point's coordinates, or P.

We'll apply the formula provided,

The coordinates of the point P are given by  = (\frac{x1+x2}{2},\frac{y1+y2}{2} )

Now, x1 = 0, x2 = 0, y1 = -15, y2 = 0

Putting values in the formula, we get

(\frac{0+0}{2}, \frac{0-15}{2})

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Hence, the point P which partitions the line segment AB have coordinates as P(0,-7.5)

To learn more about Line Segment, here

brainly.com/question/25727583

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6 0
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