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Yakvenalex [24]
3 years ago
5

To the nearest tenth, what is the area of the shaded segment when JA = 8 ft?

Mathematics
1 answer:
dlinn [17]3 years ago
3 0
I think you forgot to give the diagram along with the question. Considering 8 ft as the radius, we can find the area by the formula described below.
Area = pi * (Radius) ^2
         = 3.14 * (8)^2
         = 3.14 * 64
         = 200.96
So the area of the shaded portion would be 200.96 square feet. I hope that this answer has come to your help.
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Solve this simultaneous equation by using substitution method 3x-2y=12 and x+3y=-7 ​
ratelena [41]

Answer:

Solving this simultaneous equation by using substitution method 3x-2y=12 and x+3y=-7 ​we get x=2 and y=-3

Solution set = {2,-3}

Step-by-step explanation:

We need to solve this simultaneous equation by using substitution method 3x-2y=12 and x+3y=-7 ​

let:

3x-2y=12--eq(1)\\x+3y=-7 --eq(2)

Finding value of x from equation 2 and putting in eq(1)

From \ eq(2)\\x+3y=-7\\x=-7-3y

Putting value of x in eq(1)

3x-2y=12\\Put \ x=-7-3y\\3(-7-3y)-2y=12\\Solving\\-21-9y-2y=12\\-11y=12+21\\-11y=33\\y=\frac{33}{-11}\\y=-3

So, we get y=-3

Now put value of y in equation 2 to find value of x

x+3y=-7\\x+3(-3)=-7\\x-9=-7\\x=-7+9\\x=2

So, we get value of x =2

So, solving this simultaneous equation by using substitution method 3x-2y=12 and x+3y=-7 ​we get x=2 and y=-3

Solution set = {2,-3}

4 0
2 years ago
The solution to -2[1 - 4x] = 3x + 8 is
kvasek [131]

Answer:  " 14 " .

________________________

     →  " x = 14 " .

________________________

Step-by-step explanation:

________________________

First, let us simplify the expression on the "left-hand side" of the equation:

  →  -2(1 −4x) ;

________________________

Note the "distributive property of multiplication" :

      →  a(b + c)  =  ab + ac  .

________________________

As such, we can rewrite:  

      → -2(1 − 4x)  = (-2)(1) + (-2)(-4x) ;

                         =  - 2 + 8x ;

                       ↔  8x − 2 ;

________________________

Now, rewrite the entire expression:

 →  8x − 2 = 3x + 8 ;

________________________

Subtract "(3x)" from each side of the equation;

      and add "2" to each side of the equation:

________________________

 →  8x − 2 − 3x + 2 = 3x + 8 − 3x + 2 ;

to get:  

 →   5x = 10 ;

Now, divide each side of the equation by "5" ;

  to isolate "x" on side of the equation;

      & to solve for "x" ;

________________________

 →  5x/5 = 10/5 ;

to get:

________________________

 →  x = 2 .

________________________

Now, let us check our work:

________________________

Plug in "2" for all "x-values" into the original equation;

to see if the equation holds true;

that is, to see if each side of the original equation given has the same value;  

      when "x = 2" :

________________________

Note the given equation:

________________________

   →   -2[1 − 4x] = 3x + 8 ;

________________________

Start with the left-hand side:

   →  -2[1 − (4*2)} = -2(1 − 8) = -2(-7) = 14 .

Now, continue with the right-hand side:

   →  3(2) + 8 = 6 + 8 = 14 .

___________________________________

   → 14 =? 14 ??? ;  Yes!

___________________________________

Hope this is helpful to you!

___________________________________

5 0
3 years ago
The triangles are similar. If DE = 24, EF = 42, and AB = 8, find BC
Alik [6]
If triangle abc is similar to def
That means all angles are the same and sides will be multiplied by some factor x. So AB(x)= DE
8x=24
Therefore x =3
Now BC=EF/x
BC=42/3
BC= 14
3 0
3 years ago
In a sequnece u5=-3.7 and u15 =-52.3, what is the 19th term
PilotLPTM [1.2K]

u19=-71.74

Step-by-step explanation:

u5=a+4d=-3.7....(1)

u15=a+14d=-52.3....(2)

-10d=48.6

d=-48.6/-10

d=-4.86

Substitute-4.86 into....(1)

u5=a+4(-4.86)=-3.7

a+(-19.44)=-4.7

a=-3.7-(-19.44)

a=15.74

19term=a+18d=?

=15.74+18(-4.86)

=15.74+(-87.48)

19th term =-71.74

6 0
2 years ago
Can someone help me with this please
Natasha2012 [34]

Answer: -6 -2

Step-by-step explanation:

6 0
2 years ago
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