Answer:
This cannot be solved but it can be simplified
first we open the bracket
so we have
a²- abx/x = 2/3
next we cross multiply so it will be 3(a² - abx) = 2x
we get
3a² - 3abx = 2x
Next we factorise so we can get
3a(a-bx) =2x
I dont know what exactly you where asked but I hop this helps
Answer:
The area of the new reduced parallelogram after dilation is 8 cm^2
Step-by-step explanation:
Mathematically, the area of a parallelogram = b * h
before dilation, area of the parallelogram = 8 * 4 = 32 cm^2
After dilation by a factor of 1/2, the base of the parallelogram becomes 1/2 * 8 = 4cm while the height becomes 1/2 * 4 = 2cm
Thus, the area of the dilated parallelogram is 4 * 2 = 8 cm^2
The answer to this question is x=6
Answer:
<em>2 1/3, 2 1/4, 2 3/7</em>
Step-by-step explanation:
<u>Mixed Fractions</u>
Mixed fractions are made of an integer part followed by a proper fraction.
Some examples of mixed fractions are:
3 1/2, -4 5/8, 2 2/3
Between two consecutive integers a and a+1, there are infinitely many fractions. The centered number is a 1/2. Any number with its improper fraction part less than 1/2 is closer to a than to a+1.
In our problem, Jayne bought between 2 and 3 pounds of granola. We need to provide a mixed number that is closer to 2 pounds than to 3 pounds.
We can select any number with integer part 2 and a proper fraction less than 1/2.
Examples could be :
2 1/3, 2 1/4, 2 3/7
All of them are less than 2.5
Ropes are 9.63 meters ans 8.178 meters.
<u>Step-by-step explanation:</u>
Step 1 :
List all the given things
Distance between people holding ropes = 40 =(40*0.3048) meters = 12.192 meters
Angle between two ropes = 86 degrees
Angle of elevation of one rope = 42 degrees
Step 2 :
Two angles of triangle are already given so third angle can be calculated as -
Third angle = 180 - ( 86 + 42 ) = 52 degrees
Step 3 :
As we know all three angles we will apply sine rule now, which is
Step 4 :
By putting values, we have
Step 5 : Calculating a and b
,
Step 6 :
By putting values of all sine and calculating we get,
a = 9.63 meters and b = 8.178 meters