Answer:
Dimensions of rectangle:
Length =6 yards
Width=3 1/3 yards
Area of right triangle = 10 yd^2
Step-by-step explanation:
The right triangle has base as 6 yards and height as 3 1/3 of yards.
When we match this triangle with another right triangle to make the rectangle is another right triangle with sides 6 yards and 3 1/3 yards.
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The G.C.F of the given algebraic expression is; ⁴⁹/₆a xy
<h3>What is the G.C.F (Greatest Common Factor)?</h3>
The greatest common factor (GCF or GCD or HCF) of a set of whole numbers is the largest positive integer that divides evenly into all numbers with zero remainder. For example, for the set of numbers 18, 30 and 42 the GCF = 6.
We are given the algebraic expression;
(3 x y * 4x²y * ¹/₁ * 5x³y ^ z * 4)7a * 1/1 * 7*6
Expanding this further gives;
⁴⁹/₆a((3xy * 4x²y * 20x³y ^ z )
Now, the GCF of the terms inside the bracket would be x y. Thus, expanding the GCF we have;
⁴⁹/₆a xy((3 * 4x * 20x²y^(z - 1))
Read more about G.C.F at; brainly.com/question/219464
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Answer:
Andrew has $15 left over each month
Step-by-step explanation:
Inflows=$240+$60=$300/mo.
Outflows=$170+$70+45=$285/mo.
Inflows-Outflows=left over
$300-$285=$15
Answer:
Ratio of blue fish in the small tank to the red fish in large tank is 10 : 6279
Step-by-step explanation:
Let the number of red fish and blue fish in the large tank are x and y respectively.
Similarly ratio of red fish and blue fish in the small tank are x' and y' respectively.
Since in each tank ratio of the red fish to blue fish is 333 : 444
That means x : y = 333 : 444
Or 
⇒ 
⇒ y =
--------(1)
Similarly x' : y' = 333 : 444
⇒ 
⇒ 
⇒ x' =
------(2)
Ratio of the fish in large tank to the fish in small tank is 464646 : 555
So (x + y) : (x' + y') = 464646 : 555

Now we replace the values of x and y' from equation (1) and equation (2)







Therefore, ratio of blue fish in the small tank to the red fish in large tank is 10 : 6279