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KatRina [158]
2 years ago
8

Polygon DEFG has coordinates D(2, 5), E(3, 1), F(4, 6), and G(6, 6). If the polygon is translated 3 units to the left, what are

the coordinates of F'?

Mathematics
1 answer:
Sveta_85 [38]2 years ago
8 0
From the picture below, we can see both the polygon and its translated version. The coordinates of point F is (4,6). And its translated counterpart is F' from the polygon D'E'F'G'. The coordinates of F' is (1,6) since all the points are translated 3 units to the left.

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Can anyone please help me with this question? : A target consists of two concentric circles. The larger circle has diameter 1m.
11111nata11111 [884]
We know that
if  <span>the probability of hitting the blue circle is the same as the probability of hitting the green region
then 
the area of the blue circle is equal to the area of the green region

Let
x----> diameter of the blue circle

area of the blue circle=pi*(x/2)</span>²----> (pi/4)*x² m²-----> equation 1

area of the green region=area of the larger circle-area of the blue circle
area of the green region=pi*(1/2)²-(pi/4)*x²
=(pi/4)-(pi/4)*x² m²----> equation 2

equate equation 1 and equation 2
(pi/4)*x²=(pi/4)-(pi/4)*x² -----> divide by (pi/4)---> x²=1-x²
2x²=1-----> x²=1/2----> x=1/√2-----> x=√2/2 m

the diameter of the blue circle is √2/2 m


5 0
2 years ago
Select the correct augmented matrices. Liam wants to buy a car and pay for it in three installments. The total cost of the car i
Alexxandr [17]

Answer:

Step-by-step explanation:

Given:

The total cost of the car is 29,000 dollars.  Which is paid in three installments . x , y and z are the installments.

To Find:

The value of x, y and z.

Solving:

It is said that 2 times the 1 installment is $1,000 ore than the sum of the 3 rd installment and 3 times the second installment.

= 2x =  1000 + z + 3y

Transposing:

= z = 2x - 3y  - 1000

x + y  + z  = 29000 + 2100

= x + y  + z = 31100

= x + y  + 2x - 3y  - 1000 = 31100

= 3x - 2y = 32100

First installment at start paid = x (We have assumed)

Remaining Installment which is left to pay  = 29,000 - x

(29,000 - x) * 15 /100  =  Interest for First

= (29000 - x) * 3/20  

=> 4350 - 0.15x  

Installment Paid Second = y

(29000 - x)   +  4350 - 0.15x    -  y ) * 15/100 =  Interest  Second

(29000 - x)  + 4350 - 0.15x    -  y  ) * 3/20

= 5002.5 - 0.1725x - 0.15y

Interest of 1st installment +  Interest of 2nd  installment  = 2100

Using this principle solving:

=  4,350 - 0.15x  + 5,002.5 - 0.1725x - 0.15y  = 2,100

=  0.3225x  +  0.15y =  7,252.5

= 6.45x  + 3y  = 1,45,050

= 12.9x  + 6y = 2,90,100

= 4.3x + 2y = 96,700

= 4.3x + 2y = 96700

= 3x - 2y = 32,100

= 7.3x = 1,28,800

= x ≈ 17644     ( 17,643.8356)

3x - 2y = 32,100

= y ≈ 10416     (10,415.7534 )

 x + y + z = 31100

= z ≈ 3040   ( 3,040.4110 )

7 0
2 years ago
Use Pythagorean identities to prove whether ΔLMN is a right, acute, or obtuse triangle. Show all work for full credit.
liq [111]
Using Pythagorean identities:
 
If the sum of the height and base squared is greater than the hypotenuse squared, it would be an acute triangle.

If the sum of the height and base squared is less than the hypotenuse squared, it would be an obtuse triangle.

If the sum of the height and base squared is equal to the hypotenuse squared, it would be a right triangle.

The height = 10
The base = 24

10^2 + 24^2 = 100 + 576 = 676

The hypotenuse = 27 = 27^2 = 729

Because the sum of the height and base squared (676) is smaller than the hypotenuse squared (729) the triangle  is an obtuse triangle.


5 0
2 years ago
Read 2 more answers
Can someone help me find the area? Please
inna [77]

i dont understand you have everything there

6 0
2 years ago
Read 2 more answers
He nine ring wraiths want to fly from barad-dur to rivendell. rivendell is directly north of barad-dur. the dark tower reports t
kiruha [24]

This problem is better understood with a given figure. Assuming that the flight is in a perfect northwest direction such that the angle is 45°, therefore I believe I have the correct figure to simulate the situation (see attached).

 

Now we are asked to find for the value of the hypotenuse (flight speed) given the angle and the side opposite to the angle. In this case, we use the sin function:

sin θ = opposite side / hypotenuse

sin 45 = 68 miles per hr / flight

flight = 68 miles per hr / sin 45

<span>flight = 96.17 miles per hr</span>

6 0
2 years ago
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