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Sergeeva-Olga [200]
3 years ago
9

The square below has an area of 144 square units. What is the total area of the four circles? *

Mathematics
1 answer:
mariarad [96]3 years ago
7 0
Be more pacific this isnt pacific at all 
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1. A circle with center (-5, 2) is tangent to the y-axis. What is the radius of the circle? What is the equation of the circle?
Bess [88]

Answer:

Step-by-step explanation:

1)  The center lies on the vertical line x = -5 and the the circle is tangent to (touches in one place only) the y-axis.  Thus, the radius is 5.

2)  Starting with (x - h)^2 + (y - k)^2 = r^2 and comparing this to the given

                     (x - 4)^2 + (y + 3)^2 = 6^2

we see that h = 4, k = -3 and r = 6.  The center is at (4, -3) and the radius is 6.

3)  Notice that A and B have the same x-coordinate, x = 15.  The center of the circle is thus (15, -2), where that -2 is the halfway point between the two given points in the vertical direction.   Arbitrarily choose A(15, 4) as one point on the circle.  Then the equation of this circle is

(x - 4)^2 + (y + 3)^2 = r^2 = 6^2, where the 6 is one half of the vertical distance between A(15, 4) and B(15, -8) (which is 12).

4 0
3 years ago
At D.J.s Drink stand Erika ordered a cup of fruit punch made using 1/4 cup of lemonade 1/12 cup of cranberry juice. What fractio
Zepler [3.9K]

The fraction of the orange juice will be 2/3cup.

Why?

Since there is no additional information, let's assume that the fruit punch is made using just three juice fruits, lemonade juice, cranberry juice and the rest is orange juice.

We can calculate the fraction of the orange juice using the following information:

FruitPunch=\frac{1}{4}Lemonade+\frac{1}{12}Cranberry+Orange\\\\1cup=\frac{1}{4}cup+\frac{1}{12}cup+Orange\\\\1cup-(\frac{1}{4}cup+\frac{1}{12}cup)=Orange\\\\1cup-(\frac{12+4}{4*12})=Orange\\\\Orange=1cup-\frac{16}{48}cup=1cup-\frac{1}{3}cup=\frac{3-1}{3}cup=\frac{2}{3}cup

Hence, we have that the fraction of the orange juice will be 2/3cup.

Have a nice day!

8 0
3 years ago
Tell whether the ordered pair is a solution of the equation<br> y=5x; (15,-3)
n200080 [17]

Answer:

This ordered pair is NOT a solution of the equation.

Step-by-step explanation:

First, it is important to note that ordered pairs consist of (x, y) so in this case

x = 15 and y = -3.  And that any variable directly next to a number calls for multiplication.  So, plugging in the variables the equation would look like

"-3 = 5 x 15"  

To see if 5 x 15 = -3 we will multiply them.  5 x 15 actually equals 75 not -3.  So we know this ordered pair is NOT the solution for the problem.  

3 0
3 years ago
What number Should be placed to finish the division problem <br><br> 3426/3200=227/?
dangina [55]

Answer:

Step-by-step explanation:

the number should be 212.02568593112

7 0
3 years ago
Read 2 more answers
Which is the best answer to this question
sattari [20]
The answer is G, because you need to put the variables that go together with the same person. 
7 0
3 years ago
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