Answer:
See below
Step-by-step explanation:
-4 (1/3)^(n-1)
Part A
<em><u>For n = 1</u></em>
-4(1/3)^(1 - 1)
-4(1/3)^0 Anything to the 0 power (except 0) is 1
-4 (1)
-4
<em><u>n = 2</u></em>
-4(1/3)^(2 - 1)
-4*(1/3)^1
-4/3
<em><u>n = 3</u></em>
- 4(1/3)^2
-4/9
<em><u>n = 4</u></em>
-4/(1/3)^3
-4 / 27
Part B
The series converges.
1/3 is between -1 <= 1/3 <= 1
Part C
<em><u>Formula</u></em>
Sum = a/(1 - r)
a = - 4
r = 1/3
Sum = -4/(1 - 1/3) = -4//2/3 = - 4/(0.666666666...) = -6
Step-by-step explanation:
The cosine function, along with sine and tangent, is one of the three most common trigonometric functions. In any right triangle, the cosine of an angle is the length of the adjacent side (A) divided by the length of the hypotenuse (H). In a formula, it is written simply as 'cos'.
In any right angled triangle, for any angle:
The sine of the angle = the length of the opposite side
the length of the hypotenuse
The cosine of the angle = the length of the adjacent side
the length of the hypotenuse
The tangent of the angle = the length of the opposite side
the length of the adjacent side
So in shorthand notation:
sin = o/h cos = a/h tan = o/a
Often remembered by: soh cah toa
Answer:
1) 25 miles
2) 20 m
Step-by-step explanation:
Number 1 is going to be
because it's a right triangle
So
+ 
= 
625 =
c = 25 mile
Number 2 uses the same process, but changing to using C instead of A
a^2 = c^2 - b^2
a^2 = 625 - 225
a = \sqrt(400)
a = 20m
The answer is C because when it reflects the 4 stays negative and the 6 because negative because it reflected on the negative side
Hope this helped! :))
Answer:
<h2>
x = 19</h2>
Step-by-step explanation:
If the angles of a triangle are 45°, 45° and 90°, the the sides of the triangle are x. x and x√2
x√2 = 19√2 ⇔ x = 19
