Θ is an acute angle and cosecant theta equals nine halves commacscθ= 9 2, find secant ((pi over 2) minus theta) .sec π 2−θ. do n
1 answer:
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<h2>Answer:</h2>
42 square units
<h2>Step-by-step explanation:</h2>For a better understanding, I add an EFGH Rectangle.
The area of EFGH Rectangle = p x l
The area of EFGH Rectangle = 10 x 8
The area of EFGH Rectangle = 80cm²
The area of BHA Triangle = 1/2 x a x t
The area of BHA Triangle = 1/2 x a x t
The area of BHA Triangle = 1/2 x 6 x 4
The area of BHA Triangle = 2 x 6
The area of BHA Triangle = 12cm²
The area of AGD Triangle = 1/2 x a x t
The area of AGD Triangle = 1/2 x 4 x 2
The area of AGD Triangle = 4cm²
The area of CFD Triangle = 1/2 x a x t
The area of CFD Triangle = 1/2 x 2 x 6
The area of CFD Triangle = 6cm²
The area of BEC Triangle = 1/2 x a x t
The area of BEC Triangle = 1/2 x 8 x 4
The area of BEC Triangle = 4 x 4
The area of BEC Triangle = 16cm²
The area of the trapezoid = EFGH Rectangle - (BHA Triangle + AGD Triangle + CFD Triangle + BEC Triangle)
The area of the trapezoid = 80 - (12 + 4 + 6 + 16)
The area of the trapezoid = 80 - 38
The area of the trapezoid = 42cm²
<h3>Conclusion :</h3>The area of the trapezoid is <u>42 square units</u>
Answer:
1. 15
2. 75
Step-by-step explanation:
The possible outcomes are an apple (A), orange (O), lemon (L), banana (B), melon (M), and a joker (J), 6 outcomes in total.
1. You could win with 2 jokers in
different ways.
You can list all these ways:
JJA JAJ AJJ
JJO JOJ OJJ
JJL JLJ LJJ
JJB JBJ BJJ
JJM JMJ MJJ
2. You could win with 1 joker in
different ways
You can list all these ways:
JAA JAO JAL JAB JAM
JOA JOO JOL JOB JOM
JLA JLO JLL JLB JLM
JBA JBO JBL JBB JBM
JMA JMO JML JMB JMM
AJA AJO AJL AJB AJM
OJA OJO OJL OJB OJM
LJA LJO LJL LJB LJM
BJA BJO BJL BJB BJM
MJA MJO MJL MJB MJM
AAJ AOJ ALJ ABJ AMJ
OAJ OOJ OLJ OBJ OMJ
LAJ LOJ LLJ LBJ LMJ
BAJ BOJ BLJ BBJ BMJ
MAJ MOJ MLJ MBJ MMJ