Put a dot on the -3 from the y-axis and draw a straight line from left to right.
For the text answers:
conditional - If 2 lines are supplementary then the measure of the angles sum is 180
converse - If the measure if the angle sum is 180 then the 2 lines are supplementary
inverse - If 2 lines are not supplementary then the measure if the angle sum is not 180
contrapositive - If the measure if the angle sum is not 180 then 2 lines are not supplementary.
answer to the picture one:
conditional - If you do all your math homework then you will do well on the test.
converse - If you do well on the test then you do all your math homework
inverse - If you do not do all your math homework then you will not do well on the test.
contrapositive - If you do not well on the test then you did not do all your math homework
<u>Answer</u>
2,737,152a⁵b⁵
<u>Explanation</u>
(2a - 3b)¹⁰ = (2a)¹⁰ - 10(2a)⁹(3b) + 47(2a)⁸(3b)² - 144(2a)⁷(3b)³ - 212(2a)⁶(3b)⁴ + 352(2a)⁵(3b)⁵
The 6th term in this expression is 352(2a)⁵(3b)⁵
352(2a)⁵(3b)⁵ = 352 × 2⁵a⁵ × 3⁵b⁵
= 352 × 32 ×243 ×a⁵b⁵
= 2,737,152a⁵b⁵
Answer:
51.7661748226 degrees; 38.2338251774 degrees
Step-by-step explanation:
First, draw a diagram to illustrate this situation. Looking at angle A, Eric's height, 1.65 m, corresponds to OPPOSITE, and Eric's shadow, 1.30 m, corresponds to ADJACENT. Using SOH CAH TOA, the equation is:
tan(A) = 1.65/1.30
A = arctan(1.65/1.30)
A = 51.7661748226 deg
Looking at angle B, 1.65 m is ADJACENT and 1.30 m is OPPOSITE. Therefore, the equation is:
tan(B) = 1.30/1.65
B = arctan(1.30/1.65)
B = 38.2338251774 deg
4 shelves the first three shelves can hold 8 books each and the fourth shelf has 3 books on that shelf so altogether 4 shelves for 27 books