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mojhsa [17]
3 years ago
15

What is the scale factor of the dilation of ABCD centered at the origin?

Mathematics
1 answer:
Ket [755]3 years ago
8 0

Answer:

The anwser is -1/2

Step-by-step explanation:

A trick i personally learned is that is you are shrinking then it will turn up as a fraction, but make sure that fraction is not an improper fraction and if the dialation does get bigger it will be a whole number or improper fraction.

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What is the greatest common divisor of 1665, 4554, 1683, and 4050?
atroni [7]
Nine(9) is the Greatest common divisor
7 0
3 years ago
Tina practiced piano for 15 hours last month and 45 hours this month. Use multiplication to write a statement comparing the hour
Pani-rosa [81]

Answer: Hours by Tina practiced this month is 3 times the hours she practiced last month such that 15 x 3 =45 hours.


Step-by-step explanation:

Given : Duration of Tina practiced piano last month=  15 hours

Duration of Tina practiced piano this month=  45 hours

We can see 45 is a multiple of 15 such that 45=15\times3

Therefore, Hours by Tina practiced this month is 3 times the hours she practiced last month such that 15 x 3= 45 hours.

6 0
3 years ago
Read 2 more answers
The total weight of 30 bags of flour and 4 bags of sugar is 42.6 kg. If each bag of sugar weighs 0.75 kg, what is the weight of
alina1380 [7]
The answer is: Each bag of flour weighs 1,32 kg. 

If we the total weight of the bags is given, and we know both the number of bags of flour and sugar, and we also know the weight of each bag of sugar, then we have to find the unknown, which is X. 30 times X plus 4 times the weight of a bag of sugar would equal 42.6kg. Next step is to put the unknown on one side and the known values on the other side. We have 30 times X equals 42.6 minus 4 times 0.75. 
To find X we need to divide the value with 30, or to sum up 

30X + 4*0.75 = 42.6
30X + 3 = 42.6
X = (42.6 - 3) / 30
X = 1.32 kg
7 0
3 years ago
Read 2 more answers
Triple a number, x, increased by 1 is between -20 and 10. What are the solutions for x?
Bumek [7]
Hello,
-20 \leq 3x+1 \leq 10\\
\Rightarrow\ -21 \leq 3x \leq 9\\
\Rightarrow\ -7 \leq x \leq 3\\

Sol=[-7\ 3]\ if\ x\ is\ a\ real.


3 0
3 years ago
Help! Thanks!!!!!!!!!
san4es73 [151]

1)

∠BAC = ∠NAC - ∠NAB = 144 - 68 = 76⁰

AB = 370 m

AC = 510 m

To find BC we can use cosine law.

a² = b² + c² -2bc*cos A

|BC|² = |AC|²+|AB|² - 2|AC|*|AB|*cos(∠BAC)

|BC|² = 510²+370² - 2*510*370*cos(∠76⁰) =

|BC| ≈ 553 m


2)

To find ∠ACB, we are going to use law of sine.

sin(∠BAC)/|BC| = sin(∠ACB)/|AB|

sin(76⁰)/553 m = sin(∠ACB)/370 m

sin(∠ACB)=(370*sin(76⁰))/553 =0.6492

∠ACB = 40.48⁰≈ 40⁰


3)

∠BAC = 76⁰

∠ACB = 40⁰

∠CBA = 180-(76+40) = 64⁰


Bearing C from B =360⁰- 64⁰-(180-68) = 184⁰


4)

Shortest distance from A to BC is height (h) from A to BC.


We know that area of the triangle

A= (1/2)|AB|*|AC|* sin(∠BAC) =(1/2)*370*510*sin(76⁰).

Also, area the same triangle

A= (1/2)|BC|*h = (1/2)*553*h.


So, we can write

(1/2)*370*510*sin(76⁰) =(1/2)*553*h

370*510*sin(76⁰) =553*h

h= 370*510*sin(76⁰) / 553= 331 m

h=331 m


4 0
3 years ago
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