Answer:
The answer to your question is x = 37.74
Step-by-step explanation:
Data
Right triangle
hypotenuse = c = 45
angle = 33°
adjacent side = x
Process
To solve this problem use trigonometric functions. The trigonometric function that relates the adjacent side and the hypotenuse is cosine.
cos Ф = Adjacent side / Hypotenuse
-Solve for Adjacent side
Adjacent side = hypotenuse x cosФ
-Substitution
Adjacent side = 45 x cos 33
-Simplification
Adjacent side = 45 x 0.839
-Result
Adjacent side = x = 37.74
Answer:
a recursive formula gives the value of a specific term based on the previous term
Step-by-step explanation:
Answer:
y = -(8/5)x + 3
Step-by-step explanation:
Step 1: Rewrite the given equation into slope-intercept form by solving for y
8y−16=5x
8y = 5x + 16
y = (5/8)x + 2
Perpendicular lines have slopes that are opposite reciprocals of each other. That means you take the slope, flip the fraction, and change the sign.
Here our given line is y = (5/8)x + 2 so the slope 5/8
The opposite reciprocal of 5/8 is -8/5
We set up the equation
y = -(8/5)x + b
we are given a point (x, y) of (5, -5), so plug that in and solve for b
-5 = -(8/5)(5) + b
-5 = -8 + b
3 = b
So our equations is y = -(8/5)x + 3
Answer:
Choices 4 & 2
Step-by-step explanation:
-7x+14> -3x -6
-14. -14
-7x> -3x -20
+3x. +3x
-4x> -20
Divide eah side by negative four with gets u 5 but since you divided by a negative you have to flip the sign
x<5 instead of x>5
So 5 and 10 are greater than x making them the answers to the inequality
