Answer:
Step-by-step explanation:
<em>The question is illustrated with the attached figure.</em>
Required
Determine XY
To solve for XY, we make use of the tan function, which states that:
In this case:
Substitute 4 for YZ
Make XY the subject
So, the expression becomes:
Rationalize:
Answer:
right triangle
Step-by-step explanation:
because 15 would be the base so 11 and 12 would be the sides and fot the triangle to be acute or obtuse the total of the sides (11+12) has to be lass than the base (15), but it is more 23 so it has to be a right triangle.
Answer:
arc EFC = 237°
Step-by-step explanation:
arc DEF = 140°
arc EF = 140° - 83° = 57°
arc DC = arc FG
arc DC = (360° - 140° - 140°)/2 = 40°
arc EFC = arc CG + arc FG = arc EF = 140° + 40° + 57° = 237°
Answer:
70,900
Step-by-step explanation:
Complete the table of values for the function f(x) = (1/3)x for a, b, and c. x : -2, -1, 0, 1, 2. f(x) : a, b, c, 1/3, 1/9
balu736 [363]
Given:
The function is
To find:
The missing values for a, b, and c in the given table.
Solution:
We have,
At x=-2,
![\left[\because \left(\dfrac{a}{b}\right)^{-n}=\left(\dfrac{b}{a}\right)^{n}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20%5Cleft%28%5Cdfrac%7Ba%7D%7Bb%7D%5Cright%29%5E%7B-n%7D%3D%5Cleft%28%5Cdfrac%7Bb%7D%7Ba%7D%5Cright%29%5E%7Bn%7D%5Cright%5D)
At x=-1,
At x=0,
![\left[\because a^0=1, a\neq 0\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20a%5E0%3D1%2C%20a%5Cneq%200%5Cright%5D)
Therefore, the missing values of a,b and c are 9, 3, and 1 respectively.
