Answer:
m<1 = 60°
m<2 = 30°
m<3 = 90°
Step-by-step explanation:
Recall some properties of Rectangle. Thus:
The four angles of a rectangle are right angles = 90° each.
Opposite sides of a rectangle are also parallel to each other.
With the knowledge of these, we can solve for angles 1, 2, and 3.
Thus:
m<1 = 60° (alternate interior angles are congruent)
m<2 + m<1 = 90° (complementary angles)
m<2 + 60° = 90° (substitution)
m<2 = 30° (substraction property of equality)
m<3 = 90° (angle of a rectangle)
Answer:
82.8
Step-by-step explanation:
i think this is correct dont get mad if im wrong but im 80% sure im right
Answer:
722.50
Step-by-step explanation:
not exactly sure its right but i did use a calculator so I'm pretty sure it's right
The slope intercept formula is:
y = mx + b
m is the slope
b is the y-intercept
In this case the slope is...
1
The y-intercept is...
(0, -4)
Plug these numbers in for m and b respectively:
y = 1x + (-4)
y = x - 4
Hope this helped!
~Just a girl in love with Shawn Mendes
9514 1404 393
Answer:
a) 3.491 in/s
b) 3.333 RPM
c) 0.349 rad/s
Step-by-step explanation:
We know the arc length for a given radius and angle is ...
s = rθ
so the linear speed along the arc is ...
s' = rθ' = (10 in)(20π/180 rad/s) = 10π/9 in/s ≈ 3.491 in/s
__
The rotation rate of 20°/s is an angular velocity of ...
(20°/s)(60s/min)(1 rev/360°) = 3.333 RPM
__
In the first part, we found the angular speed to be π/9 radians/sec. That's about ...
π/9 rad/s ≈ 0.349 rad/s
