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nika2105 [10]
3 years ago
11

Convert the Cartesian equation x^2 + y^2 = 16 to a polar equation.

Mathematics
1 answer:
Troyanec [42]3 years ago
3 0

Answer:

2+2=4 16 divided by 4=4

Step-by-step explanation:

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What is the simplified form of i14
cestrela7 [59]

Answer:

-1

Step-by-step explanation:

Rewrite i 14 as ( i 4 ) 3 × i 2 . If i = √ − 1 , then i 2 = − 1 .

From here ( i 2 ) 2 = ( − 1 ) 2 , so i 4 = 1 . If i 4 = 1 ,

then we can say that: i 14 = ( 1 ) 3 × i 2 = i 2 = − 1

7 0
3 years ago
Read 2 more answers
Camp Ground A has an area of 300 square yards with a maximum capacity of 25 pup tents. Camp Ground B has an area of 480 square y
Damm [24]

Answer:

40 pup tents

Step-by-step explanation:

Since Ground A has area 300 and maximum capacity is 25 tents, so each tent would take up area of  300/25 = 12 sq yards.

Since Ground B's tents should occupy same area as Ground A's tents (12 sq. yards), the maximum capacity of this tent (480 sq yd) would be:

480/12 = 40 pup tents

This is the maximum capacity.

5 0
3 years ago
There are six apples, five oranges, and one pear in John's basket. ​ ​His friend takes three pieces of fruit at random without r
Lera25 [3.4K]

Answer:

<h2>There is a 9% of chances that all three selections are apples.</h2>

Step-by-step explanation:

We know that there are 6 apples, 5 oranges and 1 pear, which gives a total of 12 fruits, that's total number of possible outcomes, the denominator of the simple probability.

Now, his friend selects three fruits with three trials without replacement, that means we need to find the probability of each even and then multiply them, because they are independent events.

P=\frac{6}{12} \times \frac{5}{11} \times \frac{4}{10}=\frac{120}{1320} \approx 0.09

Notice that we calculated the total probability using the same expression. The important thing is that you need to decrease the number of events and the total number of outcomes at each selection, because after his friends picks one apple, he doesn't put it back in the bag.

Therefore, there is a 9% of chances that all three selections are apples.

(We multiplies the number by 100 to express it in percentage)

4 0
3 years ago
Three less than seven times a number.
WITCHER [35]
If x equals the number, then seven times the number is 7x; three less than that is 7x-3. 
6 0
3 years ago
What is the solution to the system of equations? -7x-2y+z=-2 <br> 6x-y-z=-18<br> 5x+4y-z=18
irinina [24]

Answer:

x = -1, y = 7 , z = 5.

Step-by-step explanation:

-7x - 2y + z = -2  .........(1)

6x -  y - z  =  -18........(2)

5x + 4y - z=  18..........(3)

Subtract equations (2) - (3):

x  - 5y = -36.........(4)

Add equations (1) and (2):

-x  - 3y = -20.......(5)

Adding (4) and (5):

-8y = -56

y = 7.

Substitute y = 7 into equation 4:

x - 5(7) = -36

x - 35 = -36

x = -1.

Substitute x = -1 and y = 7 in equation (1):

-7(-1) - 2(7) + z = -2

7 - 14 + z = -2

z = -2 - 7 + 14

z =  5.

5 0
3 years ago
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