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Papessa [141]
3 years ago
14

Find the area of the shaded region

Mathematics
1 answer:
ale4655 [162]3 years ago
5 0

Answer:

379.56ft²

Step-by-step explanation:

Oh lordy why, okay we got this:

So we're going to start with the area of the square, this is easy because all of the sides are 25ft, so we just have to plug into our formula for squares (base x height):

25 x 25 = 625

Now we have to do the semicircle, remember that the formula for the area of a circle is pi x radius², we're using 3.14 for pi, so we have to find the radius (half the diameter):

25 ÷ 2 = 12.5

12.5² = 156.25

3.14 x 156.25 = 490.625‬

Normally we would stop here, but because this is only a semicircle, we have to divide by two:

490.625‬ ÷ 2 = 245.3125‬

So, now that we have our two areas, we have to subtract the semicircle from the square:

625 - 245.3125‬ = 379.6875‬

Now, I realize that his answer isn't in your cute little word bank, but that because I rounded pi, so the closest is 379.56

So, the area of the figure is 379.56ft²

if this is wrong let me know so I can fix it

hope this helps:)

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(74-62)/8=3/2=1.5
Thank you hope this helps
7 0
3 years ago
Using base ten blocks subtraction
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3 years ago
What is the other square root of 119 + 120i?
MakcuM [25]

Answer:

\sqrt{119+120 i}=\pm (12.24+i 4.90)

Step-by-step explanation:

Given

z = 119 + 120 i

Let \sqrt{119+120 i}=p+iq

Squaring both sides

119+120 i=p^2-q^2+2ipq

Comparing real and imaginary part

Re(LHS)=Re(RHS)

119=p^2-q^2...........................(1)

comparing Im(LHS)=Im(RHS)

120=2pq

q=\frac{60}{p}

Substitute q in 1

119=p^2-(\frac{60}{p})^2

p^4-119p^2-(68)^2=0

Let x=p^2

x^2-119x-4624=0

x=\dfrac{119\pm \sqrt{119^2+4\times 4624}}{2}

x=\frac{119\pm 180.71}{2}

we take only Positive value because p^2=x

x=149.85  

p^2=149.85

thus p=\pm 12.24

q=\pm 4.90

thus,

\sqrt{119+120 i}=\pm (12.24+i 4.90)

8 0
3 years ago
Which of the following describes how to graph the line whose equation is y = x - 1?
jenyasd209 [6]
You would need to substitute a number for y. I would probably put 0 for y which would then give you x. 

y = 0

x = 1

Then you can easily graph the point. :)
7 0
3 years ago
How many faces, vertices, and edges does a cube have?
Iteru [2.4K]

Answer:

6 faces, 8 vertices, and 12 edges

Step-by-step explanation:

6 faces because each side is a face, 8 vertices because there is 8 corners, and 12 edges because its where the sides of two faces meet.

5 0
3 years ago
Read 2 more answers
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