The perimeter is composed of two straight parts and two semicircles. We can use this to break down the problem.
We can find the straight parts easily. They are given in the problem.
straight parts: 82 x 2 = 164 m
The two semicircles make a circle. We just have to find the circumference of a circle with a diameter of 66 cm to get the length of the semicircles.
semicircles: 2(π)(66/2) = 66(3.14) = 207.24 m
answer: 164+207.24 = 371.24 m
Peggy completed more because more equal parts that are smaller with more shaded means it has to be more.
Notice the picture below
so.... the angle of depression, is above in dashed lines.... however, the angle of depression, is identical to the angle of elevation from the water, since, both angles are "alternate interior" angles
now, using the 45-45-90 rule, then we know the swimmer is 90 feet from the lighthouse, then just use the tangent ratio to get "x"
Answer:
y = -
x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x - 3 ← is in slope- intercept form
with slope m = 3
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
, hence
y = -
x + c ← is the partial equation of the perpendicular line
To find c substitute (3, 1) into the partial equation
1 = - 1 + c ⇒ c = 1 + 1 = 2
y = -
x + 2 ← equation of perpendicular line
Answer:
vertex(-6,-3)
Step-by-step explanation:
x^2+12+36-36+26
(x+6)^2-10
v=(-6,-10)