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ikadub [295]
3 years ago
14

Find point P that divides segment AB into a 2:3 ratio. The point should be closer to A. A(-3,1) and B(3,5). p=

Mathematics
1 answer:
cestrela7 [59]3 years ago
8 0
To find the point that divides the segment into a 2:3 partition, a formula can be used. The formula is:

[  x1 + (ratio)*(x2 - x1) , y1 + (ratio)*(y2 - y1) ]

Substituting the given values:

[  -3 + (2/5)*(3 + 3) , 1 + (2/5)*(5 - 1) <span>]
</span>(-0.6 , 2.6)

Therefore, the point P that divides segment AB into a 2:3 ratio is found at (-0.6 , 2.6).
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The volume of a cylinder is 628 cm3. Find the radius of the base if the cylinder
kirza4 [7]
Radius is 5 cm. is the answer

8 0
3 years ago
5 small containers of capacity 16, 72, 12, 24 and 56 Litres are to be used to fill a bigger container. What is the capacity of t
PIT_PIT [208]

Answer: 1008

Step-by-step explanation:

Given

5 small containers of capacity 16,72,12,24, and 56 litres is required to fill a big container.

The volume of big container is the LCM of the 5 given containers

LCM(16,72,12,24,56)=1008

Therefore, the capacity of the bigger container is 1008 litres.

6 0
2 years ago
What is the conditional probability that exactly four heads appear when a fair coin is flipped five times
cestrela7 [59]

Answer:

5/32

Step-by-step explanation:

If a coin if flipped five times with four heads, then it has exactly one tail. The number of way to arrange four heads and one tail are as follows:

T H H H H

H T H H H

H H T H H

H H H T H

H H H H T

Essentially, there are five way because there are five "positions" where the tail could be.

Then, you need to find the total amount of possibilities for flipping a coin five times. Every time you flip it, there are two possibilities- heads and tails. Therefore, for five flips, the total amount of possibilities is

2x2x2x2x2 = 32

You know that

probability= # of desired outcome

                   ----------------------------------  

                      # of total outcomes

So the probablity is 5/32.

8 0
3 years ago
For the data in the table x|y 3|6 6|18 8|24, does y vary directly with x? write and equation for the direct variation. a. yes;y=
madam [21]
Hi,

Try B, yes; y=3x

I hope I helped :)


8 0
3 years ago
3 1/10- 2 5/6 in simplest form​
Allushta [10]

Answer:

\frac{4}{15}

Step-by-step explanation:

3  \frac{1}{10}  - 2 \ \frac{5}{6}

Convert the above mixed numbers to improper fractions through this simple approach: 3 × 10 + 1 /10 = 31/10. Similarly, 2 × 6 + 5 /6 = 17/6

\frac{31}{10}  -  \frac{17}{6}

Take the LCM of the denominators and simplify. LCM = 60. Thus, 60/10 = 6; 6 × 31 = 186. Also, 60/6 =10; 10×17 =170 all divide by 60:

=  \frac{186 - 170}{60}

Common factors between the numerator and denominator is 4, therefore 16/4 = 4 and 60/4 = 15.

=  \frac{16}{60}  =  \frac{4}{15}

Therefore the answer is 4/15 in simplest form.

8 0
3 years ago
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