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Yuliya22 [10]
3 years ago
7

Find the area of the shaded regions:

Mathematics
1 answer:
Crank3 years ago
6 0

First, we'll find the area of the large section, including the smaller section that is white.

Area of a circle: pi x r^2

A = pi x 7^2

A = 49pi x 120/360

A = 49/3 pi cm^2

Now, we'll find the area of the small section.

A = pi x 3^2

A = 9 pi x 120/360

A = 3pi cm^2

All that's left to do now is subtract.

49/3 pi - 3 pi

40/3 pi cm^2

(or 13 1/3 = 13.33 cm^2)

Hope this helps!

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If EG = 3y - 10 and ET = 2y, find the value of y In parallelogram FGHI.<br> 1<br> Find Value of y.
Ksenya-84 [330]
<h3>Answer:  y = 10</h3>

=====================================

Work Shown:

EI = EG

3y-10 = 2y

3y-10-2y = 0

y-10 = 0

y = 0+10

y = 10

Note how if y = 10, then

  • EI = 3y-10 = 3*10-10 = 20
  • EG = 2y = 2*10 = 20

Both EI and EG are 20 units long when y = 10. This confirms the answer.

6 0
2 years ago
Between which two numbers does 46 lie?
34kurt

Answer:

So the sqrt(46) is between 6 and 7

Step-by-step explanation:

sqrt(46)

5*5 = 25

6*6=36

7*7=49

So the sqrt(46) is between 6 and 7

6 0
3 years ago
The sampling distribution of the proportion follows the normal distribution when the values np and nq are greater than or equal
Keith_Richards [23]
I dont know. So i am sorry ask someone alse. Thanks

8 0
3 years ago
Simplify.<br><br> (0.4n)(16n)<br><br> 6.4n<br> 6.4n2<br> 16.4n2<br> 16.4n
yuradex [85]

(0.4n)(16n) = (0.4)(16)(n)(n) = 6.4n²

Answer: 6.4n²

5 0
3 years ago
A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function
elixir [45]
This can be solved in two ways: With heavy tools or with just algebra. 
What is your level? Have you studied calculus? 

With pure algebra: 
We need to find the maximum of the function <span>h = −16t^2 + 36t + 5
Lets take out -1 for simplicity: 
</span><span>h = −(16t2 - 36t - 5) 
For now lets just work with this: </span>16t^2 - 36t - 5
16t^2=(4t)^2 
(4t-x)^2= 16t^2-2*4xt+x^2
we have -36t so x should be 4.5 as 2*4*4.5=36

Lets see what we have now:
16t^2 - 36t - 5= (4t-4.5)^2 is this true? No but close
(4t-4.5)^2= 16t^2- 2*4*4.5t +4.5^2= 16t^2-36t+20.25

16t^2 - 36t - 5   and 16t^2-36t+20.25 nearl the same just take away 25.25 from the right hand side

Getting long, just stay with me: 
16t^2 - 36t - 5= (4t-4.5)^2 - 25.25

h= -{(4t-4.5)^2 -25.25}
h=-(4t-4.5)^2 + 25.25

We want to find the maximum of this function. -(4t-4.5)^2 this bit is always negative or 0, so it maximum is when it is 0. Solve: 4t-4.5=0
t=1,125
7 0
3 years ago
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