Answer:
she works 1837.5 hours per year.
Step-by-step explanation:
recall that a year consists of 52 weeks. then if she takes off 3 weeks during the year, she in fact works (52 - 3 = 49) weeks per year.
During each week she works 5 days and each day she works 7.5 hours.
therefore, the total number of hours she works per week is : 5 * 7.5 hours = 37.5 hours per week.
Now during 49 weeks she would be working 49 * 37.5 hours = 1837.5 hours
We are given the a right triangle and the interior angles of the triangle. We use some trigonometric functions to solve the length of the remaining legs. We calculate as follows:
let a and b the length of the legs
cos 30 = a / 22
a = 19.05 cm
sin 30 = b / 22
b = 11 cm
Hope this answers the question. Have a nice day.
Answer:
B) ∠B ≅ ∠K
Step-by-step explanation:
The Angle-Angle-Side Postulate (AAS) states that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.
Given that ∠A ≅ ∠J and AC ≅ JL, then we need that ∠B ≅ ∠K to satisfy postulate AAS (the two angles are ∠A and ∠B in one triangle and ∠K and ∠J in the other one, and the non-included side is AC in one triangle and JL in the other one).
Answer:
Yes
Step-by-step explanation:
If two ratios are equivalent they form a proportion. If ratios are not equivalent they do not form a proportion.
Hope This Helps :)