Answer:
13
Step-by-step explanation:
Divide:
27 ÷ 2 = 13 r1
So, he can buy 13 but has a dollar left.
Hope this helps you out! : )
Answer:
120
Step-by-step explanation:
10% of 1.2 = .12
.12 = 120
Answer:
4√2/7
Step-by-step explanation:
Suppose cos(x)=-1/3, where pi/2≤x≤ pi
tan(2x) = sin(2x)/cos(2x)
Since sin2x = 2sinx cosx
cos 2x = 2cos²x-1
Substitute
tan(2x) = 2sinx cosx/ 2cos²x-1
Given cosx = -1/3
adjacent = -1
hyp = 3
opp = √3²-(-1)²
opp = √9-1
opp = √8
sinx = opp/hyp
sinx = √8/3
tan(2x) = 2sinx cosx/ 2cos²x-1
tan(2x) = 2(√8/3)(-1/3)/ 2(-1/3)²-1
tan2x= (-2√8/9 )÷ (2/9 - 1)
tan2x = -4√2/9 * 9/-7
tan 2x = 4√2/7
Answer:
The 500th term is 3,517
Step-by-step explanation:
Here in this question, we are given an explicit formula to calculate the 500th term of the sequence
The formula to use is ;
a + (n-1)d
where a refers to the first term which is 24 in this case, while d is the common difference which is the difference between success terms and that is 52-45 = 45-38 = 7 and finally n is 500
Now we make a substitution into the formula and we have
24 + (500-1)7
= 24 + (499)7
= 24 + 3493 = 3,517
