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<em><u>Answer:</u></em>
115 is between 114 and 116 because they are the integers that are directly bigger than 115 and smaller than 115.
Answer:
686 becomes 700
Step-by-step explanation:
367+319 = 686
hundreds tens one
6 8 6
We are rounding to the hundreds places
We have to look at the tens place
8>=5 so we will round up
6 becomes 7
686 becomes 700
Answer:
D
Step-by-step explanation:
our basic Pythagorean identity is cos²(x) + sin²(x) = 1
we can derive the 2 other using the listed above.
1. (cos²(x) + sin²(x))/cos²(x) = 1/cos²(x)
1 + tan²(x) = sec²(x)
2.(cos²(x) + sin²(x))/sin²(x) = 1/sin²(x)
cot²(x) + 1 = csc²(x)
A. sin^2 theta -1= cos^2 theta
this is false
cos²(x) + sin²(x) = 1
isolating cos²(x)
cos²(x) = 1-sin²(x), not equal to sin²(x)-1
B. Sec^2 theta-tan^2 theta= -1
1 + tan²(x) = sec²(x)
sec²(x)-tan(x) = 1, not -1
false
C. -cos^2 theta-1= sin^2
cos²(x) + sin²(x) = 1
sin²(x) = 1-cos²(x), our 1 is positive not negative, so false
D. Cot^2 theta - csc^2 theta=-1
cot²(x) + 1 = csc²(x)
isolating 1
1 = csc²(x) - cot²(x)
multiplying both sides by -1
-1 = cot²(x) - csc²(x)
TRUE
What is the 9th term of the geometric sequence 4, -20, 100, ...
<span>First term, a = 4 </span>
<span>common ratio, r = –20 / 4 = –5 </span>
<span>..... ..... ..... ..... = 100 / –20 = –5 </span>
<span>9th term = 4 ( –5 ) ^ ( 9 - 1 ) </span>
<span>..... ...... = 4 ( –5 ) ^ 8 </span>
<span>..... ...... = 4 ( 390,625 ) </span>
<span>..... ...... = 1,562,500 </span>