Answer:
4 sqaure root 24x^3/ 2x
Step-by-step explanation:
See steps below:)
Q: using the Substitution Method, and the value ory in
1 answer:
Answer:
Step-by-step explanation:
To properly apply the substitution method, it will be better for us to rearrange the system of equations to have similar variables on the same side
We can simply evaluate equation 1 to have
y = -20
From the first equation alone, we can evaluate the value of y as -20. This is because only one unknown is present in equation one, hence a single equation is sufficient enough to evaluate it. If to unknowns were present, the two equations would have been utilized to evaluate the solution.
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Given :
Population of country in 2006 , P = 300 million.
Consumption of fruit juice in 2006 by while population, C = 1.85 billion.
To Find :
The average number of gallons of fruit juice consumed per person in the country in 2006.
Solution :
We know, 1 billion = 1000 million.
C = 1.85 billion = 1850 million.
Now, average umber of gallons of fruit juice consumed per person in the country in 2006 is :
Hence, this is the required solution.
ANSWER
The length of a Diameter is 3.714
EXPLANATION
The circumscribed triangle is shown in the attachment.
We use the cosine ratio to find the altitude of the isosceles triangle.
Altitude =8cos(60°)
Altitude=4cm
Let the upper half of the altitude be y cm.
Then the radius of the circle is (y-4)cm
The upper radius meets the tangent at right angles.
From the smaller right triangle,
y=1.857
The diameter is 2y
=2(1.875)
The length of a Diameter is 3.714
Answer:
c) 6
Step-by-step explanation:
This is a straight-forward application of the Law of Cosines:
... a² = b² + c² -2bc·cos(A)
... a² = 8² +11² -2·8·11·cos(32.2°) ≈ 64 +121 -176·0.8462
... a² ≈ 36.07000
... a ≈ 6.00583
The best choice is c) 6.
