Answer:
4/a
Step-by-step explanation:
Answer:
Step-by-step explanation:
The parametrical components of the curve are:
and
After some trigonometrical and algebraic handling, the parametrical variable is eliminated in the resulting expression:
To eliminate the parameter and find the Cartesian equation of the curve x = 7sinθ,y = cos2θ, we can express x in terms of θ, rearrange the equation, and substitute it into the other equation to eliminate the parameter θ. The resulting equation 2(x/7)² + y - 1 = 0 represents the Cartesian equation of the curve.
To eliminate the parameter and find the Cartesian equation of the curve, we can express x in terms of θ using the given equation x = 7sinθ. Rearranging this equation, we get sinθ = x/7. Similarly, we can express y in terms of θ using the given equation y = cos2θ, which can be rewritten as cos(2θ) = y.
Now we can use the trigonometric identity cos(2θ) = 1 - 2sin²θ to eliminate θ from the equations. Substituting this identity into the second equation, we get 1 - 2(sinθ)² = y.
Simplifying this equation, we have 2(sinθ)² + y - 1 = 0. Finally, we can express sinθ in terms of x using the equation sinθ = x/7, and substitute it into the simplified equation to eliminate θ. This gives us 2(x/7)² + y - 1 = 0, which represents the Cartesian equation of the given curve.
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To mix with 4 quarts of yellow paint, one would need approximately 2.67 quarts of red paint. This was determined through the use of ratio and proportion.
To determine how much red paint needs to be mixed with 4 quarts of yellow paint, we use ratio and proportion. We know the paint is mixed at a ratio of 3:2 yellow to red. Hence, we assume that 3 parts is equivalent to 4 quarts of yellow paint. So, we can use cross-multiplication to find the equivalent volume of red paint:
3 yellow : 2 red = 4 quarts yellow : x quarts red.
So, we solve 2x = 4 * 3/3. Doing the maths, we get, x = 2.67 quarts it’s the required volume of red paint for 4 quarts of yellow paint.
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Answer:
7182
Step-by-step explanation:
All you shoud do is to replace x by 9
● y = 10 * 9^3 -12*9
● y = 7182
36°
40°
54°
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The amountlessspend by buying in store Athan in store B is $84
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The number of smokedetectors to be purchased.
= 12
Store A:
Cost of one smokedetector = $17
Cost of 12 smokedetectors.
= 12 x 17
= $204
Store B:
Cost of one smokedetector = $24
Cost of 12 smokedetectors.
= 12 x 24
= $288
Now,
The difference between the cost of 12 smokedetectors from store A to store B.
= $288 - $204
= $84
Thus,
The amountlessspend by buying in store Athan in store B is $84
Learn more about expressions here:
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Answer:
$84
Step-by-step explanation:
so for store A, you would do $17*12 smoke detectors, Which would give you $204. For store B you would do $24*12 smoke detectors. That is $288. Now all you do is 288-204=84. You would save $84 dollars going to store A