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yuradex [85]
3 years ago
15

Find the point that partitions line segment AB with

Mathematics
1 answer:
Olegator [25]3 years ago
3 0

Answer:

We have to find point that partition line segment AB with end points (-5,3) (-1,-5) in ratio 1:3

Assume (-5,3) as ( a,b)

Assume (-1,-5) as (c,d)

Assume ratio 1:3 as m:n

Step-by-step explanation:

Remember this formula

Partition point =( mc + na)/m+ n , ( md+ nb)/m+n

=[ (1)(-1)+ 3(-5)]/1+3, ( 1(-5) + 3(3))/1+3

= -1 -15)/4,( -5 + 9)/4

= -16/4, 4/4

= -4, 1

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Find the area of the blue sector(s). The diameter is 14.
pav-90 [236]

The area of the entire circle is pi*(7)^2, or 49pi.


Due to the 90 degree angle, the area of the larger blue sector is


90

------- * 49 pi = 49/4 units^2

360


The area of the smaller blue sector is


48

------- 49 pi = (2/15)(49 pi) = 98 pi/15 units^2

360


The total area of the blue sectors is the sum of 98 pi/15 and 49 pi/4 (units^2):


59 units^2

5 0
3 years ago
180 students in a tenth grade high school class take a survey about which video game consoles they own.
Fantom [35]

Answer:

P(A) = 44.44%

P(B) = 50%

P(B|A) = 37.5%

P(B|A) different from P(B).

A and B are independent.

Step-by-step explanation:

If we have a total of 180 students, and 80 of them have a Playstation, we have that P(A) = 80/180 = 0.4444 = 44.44%

If we have 90 students that have a Xbox, we have that P(B) = 90/180 = 0.5 = 50%

If we have 30 students that have both consoles, we have that P(A and B) = 30/180 = 0.1667 = 16.67%

To find P(B|A), we will find for a student that has an Xbox inside the group of students that has a Playstation, that is, we have 30 students in a total of 80 students, so P(B|A) = 30/80 = 0.375 = 37.5%

P(B|A) is different from P(B), the first is 37.5% and the second is 50%, so events A and B are independent events.

5 0
3 years ago
Please help me with this.<br> I need a maths genius<br> See pic below.<br> Thanks
adelina 88 [10]

Answer:

a =15

b=70

c=400

d=1500

e=5300

Step-by-step explanation:

it will help u

5 0
3 years ago
Can yall help meh xD
Valentin [98]

Answer:

Here's the answer

Step-by-step explanation:

Dividing the number by 1000

3 0
4 years ago
Read 2 more answers
Which of the following expressions has a coefficient of 10 and a constant of 5
adell [148]

Answer:

sometinng like x^2+ 10x+5

The single number is the constant and the number before the variable(x) is the coefficient

Step-by-step explanation:

8 0
3 years ago
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