Answer:
15:5 = 18:6 = 21:7
The scale factor is 1/3 or 0.33.
Step-by-step explanation:
Answer:
The product of given ![-4 \cdot \left[\begin{array}{ccc}8\\-1\\-5\\9\end{array}\right]](https://tex.z-dn.net/?f=-4%20%5Ccdot%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D8%5C%5C-1%5C%5C-5%5C%5C9%5Cend%7Barray%7D%5Cright%5D)
is ![\left[\begin{array}{ccc}-32 \\4\\20\\-36\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-32%20%5C%5C4%5C%5C20%5C%5C-36%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
Consider the given product of a constant and a matrix.
To do product we multiply scalar -4 with each element of the matrix given,
![-4 \cdot \left[\begin{array}{ccc}8\\-1\\-5\\9\end{array}\right]= \left[\begin{array}{ccc}-4 \times 8 \\-4 \times -1\\-4 \times -5\\-4 \times 9\end{array}\right]](https://tex.z-dn.net/?f=-4%20%5Ccdot%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D8%5C%5C-1%5C%5C-5%5C%5C9%5Cend%7Barray%7D%5Cright%5D%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-4%20%5Ctimes%208%20%5C%5C-4%20%5Ctimes%20-1%5C%5C-4%20%5Ctimes%20-5%5C%5C-4%20%5Ctimes%209%5Cend%7Barray%7D%5Cright%5D)
On solving further , we get,
![\left[\begin{array}{ccc}-4 \times 8 \\-4 \times -1\\-4 \times -5\\-4 \times 9\end{array}\right]=\left[\begin{array}{ccc}-32 \\4\\20\\-36\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-4%20%5Ctimes%208%20%5C%5C-4%20%5Ctimes%20-1%5C%5C-4%20%5Ctimes%20-5%5C%5C-4%20%5Ctimes%209%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-32%20%5C%5C4%5C%5C20%5C%5C-36%5Cend%7Barray%7D%5Cright%5D)
Thus, the product of given is
Let's solve this problem step-by-step.
STEP-BY-STEP EXPLANATION:
Let's first establish the problem as the following:
= 78.32 / 0.22
First, we will make the deniminator a whole number. In order to accomplish this, we will multiply both the numerator and denominator in the fraction by 100.
= ( 78.32 × 100 ) / ( 0.22 × 100 )
= 7832 / 22
Next we will divide both the numerator and denominator by the highest common factor ( HCF ) of the two numbers in order to simplify the fraction fully.
The highest common factor of 7832 and 22 is 22.
HCF = 22
This means that we will divide both the numerstor and denominator of the fraction by 22.
= ( 7832 ÷ 22 ) / ( 22 ÷ 22 )
= 356 / 1
= 356
FINAL ANSWER:
Therefore, the answer is: 356.
Hope this helps! :)
Have a lovely day! <3
Answer:
48
Step-by-step explanation:
think of the a squared plus b squared equals c squared. plug in the 36 in either b or a. then plug in the 60 in c's spot. solve and get 48. you can check the answer by solving 48 squared plus 36 squared equals 60 squared. both sides are equal and both come out to be the 3600
Answer:
2
litres or 2.5 litres
Step-by-step explanation:
From the question, 9 fruit juice bottles contain 4 litres of fruit juice. Therefore, to find how many litres of fruit juice would be contained in 5 fruit juice bottles, you multiply 5 by 4 litres and you divide the product by 9.
i.e. Let the quantity of the fruit juice for 5 bottles be x.
9 juice bottles ===> 4 litres
5 juice bottles ===> x
∴x = 
x = 
x = 
x = 2.5 litres or 2 litres
Hope this helps!!!
