Which of the following sequences of transformations is used to obtain figure A′B′C′D′ from ABCD? (4 points)
2 answers:
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Answer:
The correct option is B.
Step-by-step explanation:
Let the boxes of nuts be x and the boxes of bolts by y.
The weight of nut box is 100 kg and the weight of bolt box is 200 kg.The maximum weight the company’s cargo container can hold is 24,000 kilograms.
.... (1)
The company needs to transport a minimum of 160 boxes per cargo container.
.... (2)
Plot the above inequalities on the coordinate plane.
The related equations are
.... (3)
.... (4)
The x-intercept of equation 3 is (240,0) and the y-intercept is (0,120).
The x-intercept of equation 4 is (160,0) and the y-intercept is (0,160).
Check the inequality by (0,0).
This statement is true, therefore the shaded region of inequality (1) contains (0,0).
\
This statement is false, therefore the shaded region of inequality (2) does not contains (0,0).
Therefore graph (2) represents the solution and option B is correct.
The equation that correctly uses the law of cosines to solve for the missing side length of trianglepqr is <u>8^2 = 7^2 +11^2 - 2(7)(11) cos <P</u>
<h3>The cosine rule formula</h3>For us to use the cosine formula, an angle must be situated between two sides of the triangle.
According to the rule;
c^2 = a^2 + b^2 - 2ab cos C
From the given diagram, if cos<P is the reference angle, then;
a = 11
b = 7
c = 8
Substiute
8^2 = 7^2 +11^2 - 2(7)(11) cos <P
Hence the equation that correctly uses the law of cosines to solve for the missing side length of trianglepqr is <u>8^2 = 7^2 +11^2 - 2(7)(11) cos <P</u>
Learn more on law of cosine here: brainly.com/question/8288607
