In this case, we are given with the expression <span>sin(cos 8θ)/sec 5θ and is asked to evaluate the expression with limit as theta approaches 0. In this case, we just substitute 0 to theta. cos 0 is equal to 1 hence sec 0 is also equal to 1. sin theta is equal to 0.0175. Answer os 0.0175.</span>
1. 47
2. 70.4 ft per min
3. 13.33333333333333
To find the amount of fabric for one side of the purse you will find the area of the trapezoidal space that is created. The latch is on the top, so the 2 in is not necessary information.
A = 1/2 h(b1 + b2)
1/2 x 13 x (10 + 16)
A = 169 square inches of fabric will be needed.
Based on the given inequality of y≥ x - 1, the graph that matches it best is C. Graph A.
<h3>How are inequalities graphed?</h3>
When graphing an inequality with the "greater or equal" and "less or equal" signs, the line will be a steady line as shown by graphs A and B.
If y is the larger or equal variable, the shaded area will be to the left of the line.
The inequality is y≥ x - 1 which means that the line should be steady and the shading should be on the left of the line. Graph A is therefore the correct graph.
Find out more on graphing inequalities at brainly.com/question/11234618.
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