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2 years ago

I need help with this question

Mathematics

1 answer:

olga2289 [7]2 years ago

5 0

Answer:

The scale factor is 1 to 3

Step-by-step explanation:

Here, we want to determine the dilation scale

As we can see we have a dilation of 9 to 27

The ratio here will be;

9 to 27

which is 1 to 3

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I need help Pls help with both

Gwar [14]

Answer:

the first one is 84

Step-by-step explanation:

subtract 145-61 then you get 84for the missing angle.

7 0

3 years ago

Read 2 more answers

Points A and B have coordinates (3,1,2) and (1,-5,4) respectively. Point C lies on line AB such that AC:BC=3:2. Find position ve

Sever21 [200]

Answer:

The position vector of point C is <-3 , -17 , 8> or -3i - 17j + 8k

Step-by-step explanation:

* Lets revise how to solve the problem

- If the endpoints of a segment are (x1 , y1 , z1) and (x2 , y2 , z2), and

point (x , y , z) divides the segment externally at ratio m1 :m2, then

$x=\frac{m_{1}x_{2}-m_{2}x_{1}}{m_{1} -m_{2}},y=\frac{m_{1}y_{2}-m_{2}y_{1}}{m_{1}-m_{2}},z=\frac{m_{1}z_{2}-m_{2}z_{1}}{m_{1}-m_{2}}$

* Lets solve the problem

∵ AB is a segment where A = (3 , 1 , 2) and B = (1 , - 5 , 4)

∵ Point C lies on line AB such that AC : BC=3 : 2

∵ From the ratio AC = 3/2 AB

∴ C divides AB externally

- Lets use the rule above to find the coordinates of C

- Let Point A is (x1 , y1 , z1) , point B is (x2 , y2 , z2) and point C is (x , y , z)

and AC : AB is m1 : m2

∴ x1 = 3 , x2 = 1

∴ y1 = 1 , y2 = -5

∴ z1 = 2 , z2 = 4

∴ m1 = 3 , m2 = 2

- By using the rule above

∴ $x=\frac{3(1)-2(3)}{3-2}=\frac{3-6}{1}=\frac{-3}{1}=-3$

∴ $y=\frac{3(-5)-2(1)}{3-2}=\frac{x=-15-2}{1}=\frac{-17}{1}=-17$

∴ $z=\frac{3(4)-2(2)}{3-2}=\frac{12-4}{1}=\frac{8}{1}=8$

∴ The coordinates fo point c are (-3 , -17 , 8)

* The position vector of point C is <-3 , -17 , 8> or -3i - 17j + 8k

3 0

3 years ago

1, 9, 81, 729, ... what is the sequence to this

Tasya [4]

The pattern is 3^(2n-2) and the next number is 3^8.
Give a brainliest please:-)

6 0

2 years ago

In how many ways can ann, bob, chuck, don and ed be seated in a row such that ann and bob are not seated next to each other?

balandron [24]

The 5 people can seat in a row in 5! ways
But we need to exclude the ways that ann and bob are seated next to each other which is = 4! * 2!

So, the number of ways can ann, bob, chuck, don and ed be seated in a row such that ann and bob are not seated next to each other = 5! - 4! * 2! = 72

=====================================================

Another solution:

If ann seated in one of the ends, the number of ways = 3*2

If ann didn't seat in one of the ends , the number of ways = 2*3

So, the total number of ways that can ann, bob be seated = 3*2 + 2*3 = 12

The remaining persons can seat with a number of ways = 3! = 6
So, the total ways that the five persons can seat = 12*6 = 72

7 0

3 years ago

There are 11 player positions on a high school soccer team. One coach uses these positions: 1 goalie, 4 midfielders, 1 center, 3

Keith_Richards [23]

Answer:

1:4:1:3:2

Step-by-step explanation:

8 0

3 years ago