AB = ==> distance between the bottom of the plank; and the wall ===> 3 ft.
C ====> 49 degrees
For letter a, to solve for AC:
AC ==> HYPOTENUSE. The angle C is the OPPOSITE side of AB.
use sine :
sin A ===> opposite/hypotenuse
Solve:
sin 49 ====> 3/AC
AC ====> 3 / sin 49
AC ====> 3.96 ft.
For letter b, to solve for BC:
We are now given with the base (3 ft.); and; the hypotenuse (3.96 ft.) so we can use the Pythagorean theorem:
a^2 + b^2 = c^2
Let:
a ===> AB
b ===> BC
c ===> AC
(AB)^2 + (BC)^2 ===> (AC)^2
3^2 + (BC)^2 ===> (3.96)^2
(BC)^2 ===> (3.96)^2 - 3^2
(BC)^2 ===> 6.6816
sqrt (BC)^2 ===> sqrt 6.6816
Answer: BC ===> 2.58 ft.
Hope that helps!!!! : )
There's no such thing as parallel or perpendicular "to a point". A problem like that
will always want the new line to be parallel or perpendicular to another <em><u>line</u></em>.
-- If the new line is parallel to the given line, then they have the <em><u>same</u></em> slope.
-- If the new line is perpendicular to the the given line, then the slope of the
new line is [ <em><u>1 / slope of the given line</u></em> ].
In either case, you now have the slope of the new line and a point on it.
From there, you should have no trouble finding its equation.
Answer:
1. multiply 32 on both sides to get rid of the fraction
which leaves you with
68≤1-u
2. You can add the U to one side and subtract 68 from the other side
which leaves you with
u≤-67
Answer:
rectangle are congruent because opposite sides of rectangle are equal. We also know that diagonals of rectangle bisect each other
B) No. the x values and the y values do not all increase by the same number
