Answer:
sin 33° = 0.545
Step-by-step explanation:
complementary angle to 57° is 33°
sin 33° = 0.545
A standard trick for finding the rational form of a repeated decimal:
Multiply by an appropriate power of 10 to move one "cycle" of the repeated pattern to the left side of the decimal point:
Now subtract
from this number and we lose the fractional part:
And from here you can solve for
.
Their car broke down 120 miles from home.
- Let d be Jerry and Milton's distance from home where their car broke down.
- Let t be the time it takes to travel to d with a speed of 30 mph.
- Let t' be the time it takes to travel back home at 20 mph.
<h3 /><h3>Finding the required equations</h3>
Since both distances to and fro are the same, we have that
30t = d (1) and 20t' = d (2)
30t = 20t' (3)
Also, since they wer gone for 10 hours, we have that t + t' = 10 (4)
So, t' = 10 - t
<h3 /><h3>Solving for t</h3>
Substituting t' into (3), we have
30t = 20(10 - t)
30t = 200 - 20t
30t + 20t = 200
50t = 200
t = 200/50
t = 4 hours.
<h3 /><h3>Solving for d</h3>
Substituting t into (1), we have
d = 30t
= 30 × 4
= 120 miles
So, their car broke down 120 miles from home.
Learn more about distance from home here:
brainly.com/question/24744891
Answer:
D. y = 4x + 9
Step-by-step explanation:
a line that passes through the point (-2, 1) and has a slope of 4
y = 4x + b
b = y - 4x
b = 1 - 4(-2)
b = 1 + 8
b = 9
So equation
y = 4x + 9
