Answer:
Kalida
Step-by-step explanation:
Kalida : 9 minutes / 3 laps = 3 minutes/ lap
Sonya : 7 minutes / 2 laps = 3.5 minutes/ lap
The perimeter of a rectangle is twice the sum of its side lengths.
P=2(L+W), we are told that L=3W and P=176 so
2(3W+W)=176
2(4W)=176
8W=176
W=22 ft, since L=3W
L=66 ft
So the yard is 22 feet wide and 66 feet long.
Please find the attached diagram for a better understanding of the question.
As we can see from the diagram,
RQ = 21 feet = height of the hill
PQ = 57 feet = Distance between you and the base of the hill
SR= h=height of the statue
=Angle subtended by the statue to where you are standing.
= which is unknown.
Let us begin solving now. The first step is to find the angle
which can be found by using the following trigonometric ratio in
:

Which gives
to be:

Now, we know that
and
can be added to give us the complete angle
in the right triangle
.
We can again use the tan trigonometric ratio in
to solve for the height of the statue, h.
This can be done as:





Thus, the height of the statue is approximately, 8.45 feet.
Answer:
Equation
is in the standard dorm.
Step-by-step explanation:
Here, the x - intercept = 4 , so ( 4,0) is a point on the line.
and the y - intercept = 5, so ( 0,5) is a point on the line.
So, the slope of the equation is given as = 
Now, the SLOPE INTERCEPT FORM of an equation is :
y = mx + b: here m = slope and b = y- intercept
or, 
Now, standard form is Ax +By = C
So, the standard form is 
Hence, the above equation 
is in the standard dorm.
Answer:
35
Step-by-step explanation:
Since i=-1, we can rewrite the equation as 3-[4(-1)} multiplied by 6+(-1). Since
4 x-1=, 3-(-4)=7. 6-1=5, and 7x5=35.