We know the opposite and adjacent sides of angle B, so we can use the inverse tangent to solve for its value.
tan(B)^-1 = 3/4
B = 64.4 degrees
Answer:
Answer choice C) 3a-3
Step-by-step explanation:
Your perimeter is of (10a-6). The first step would be multiply 2a by 2 since you have to sides. Which would give you to 4a. Next you will have to subtract 4a from (10a-6). This would give you 6a-6. Finally divide by two and you will get 3a-3.
Answer:
<u>-53</u>, f(n) = -6(n-1) + 13
Step-by-step explanation:
given the equation to this linear/arithmetic sequence for the nth term: f(n) = -6(n-1) + 13
f(12) = -6(12-1) + 13
f(12) = -6(11) + 13
f(12) = -66 + 13
f(12) = -53
*substitute and simplify*
______________
f(n) = f(1) + d(n-1)
given f(1) = 13, f(2) = 7, and f(3) = 1
7-13 = 1-7 = <u>-6</u> = d
= f(1) + d(n-1)
f(1) = <u>13</u> so
the equation must be f(n) = <u>13</u> <u>-</u><u> </u><u>6</u>(n-1) or -6(n-1) + 13
Step-by-step explanation:
this problem seeks to test our knowledge on word problems and algebra
<u>Solution</u>
let the base be x, and
the height h = 2x+4
We know that area of a triangle is given as

substituting our given values we have

re-arranging we have

we can now find two factors that will add up to give 2 and multiply to give -168
they are 14 and -12
The possible base of the triangle is 14 in
and the height is

Answer:
a) 129 University of California undergraduates at Berkeley.
b) (i) social-class (ordinal), (ii) money (continuous), (iii) education (ordinal)
, (iv) respected job (ordinal), (v) number of candies (continuous)
c) The main question is to find the relationship between socio-economic class and unethical behaviour
Step-by-step explanation:
a) 129 University of California undergraduates at Berkeley.
b)
i) social-class (ordinal)
ii) money (continuous)
iii) education (ordinal)
iv) respected job (ordinal)
v) number of candies (continuous)
c) The main question is to find the relationship between socio-economic class and unethical behaviour