Quick vocab:
sin=sine
cos=cosine
tan=tangent
theta=the angle
o=opposite side from angle
h=hypotenuse of triangle
a=adjacent side to angle
Three equations:
sin(theta)= o / h
cos(theta)= a / h
tan(theta)= o / a
Explanation of problem:
sin(x)= o / h
sin(x)= 16cm / 28cm
You'll substitute the 16cm in for o and 28cm for h
This is because 16cm is on the side that's opposite from the angle
28cm is on the hypotenuse of the triangle
One way to find the hypotenuse is look where the 90° is at and it's opposite from that
since you're trying to find the angle you'll have to inverse the sin to get it on the other side of the equal sign
Inverse is doing the opposite of so the inverse of sin is sin^-1

x = sin^-1 (16cm/28cm)
Answer:
x = 34.84990458°
I don't know how far rounded you'll need it
I hope this helped!
If the question is how much Cody will jog to save ratio 4miles:3 miles
The ratio is

We can just multiply 1 miles by ratio to see how much Cody will jog, so

miles
The result is

miles
The graph that matches the following system of equation is; the picture of a coordinate plane with line y equals negative 4x minus 1 and line y equals minus 3 over 2 times x plus 4. They intersect at negative 2, 7.
<h3>What is the graph of a function?</h3>
The graph of a function y = f(x) shows the position of the x-intercepts and y-intercepts from the graph from which the slope can be drawn.
The system of linear equations can be rewritten in slope-intercept form as follows:
y = -4x - 1
y = -3/2x + 4
From the graph, the two equations intercept at point (-2,7).
Learn more about plotting the graph of a function here:
brainly.com/question/3939432
#SPJ1
If you would like to know the value of the 2.9% tax, you can calculate this using the following steps:
2.9% tax of $46 shoes = 2.9% * 46 = 2.9/100 * 46 = $1.334
If you would like to know what is the whole price you have to pay for the shoes (including the tax), you have to add $46 and $1.334:
$46 + $1.334 = $47.334