Answer:
Each side of the L-shaped sidewalk is 126 m and 32m respectively.
Step-by-step explanation:
Given:
Total length of the sidewalk = 158 meters
Cutting across the lawn the distance = 130 meters
The L-shaped lawn will be treated as a right angled triangle.
So the 130 m distance is the hypotenuse here.
Let one side of the L-shaped lawn be 'x' meter so the another side will be (158-x) meters.
Applying Pythagoras formula.
So,
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Applying quadratic formula;
Quadratic formula : 
where a=1 and b=-158 and c=4032
So the value of x= 126 and 32.
The length of each side of the sidewalk is 'x'= 126 m and '(158-x)'='(158-126)'=32 m
Answer: Mathematical distance is defined as the amount of space between two points. This distance can be calculated using the distance formula, which is just a derivation of the Pythagorean theorem, which is used to find the length of any one side of a right triangle when you know the other two sides
Step-by-step explanation:
Answer:
1138
Step-by-step explanation:
From the information given:
We can represent it perfectly in an exponential form:
where;
p = initial value = 120
q = base of the exponential form
q = 1 + r
here; r = rate in decimal = 10% = 0.1
Then q can now be = 1 + 0.1 = 1.1
Replacing it into the exponential form, we get:
where;
x = number of days and m = number of shoppers
Thus:
For the first day:
m = 120
For the second day:
m = 132
For the third day:
m = 145.2
For the fourth day
m = 159.72
For the fifth-day
m = 175.692
For the sixth-day
m = 193.2612
For the seventh-day
m = 212.58732
Thus; the total numbers of shoppers for the first 7 days is:
= 1138.46052
≅ 1138
A triangle is 180 so 180-110=70 and 70 divided by 2 is 35 so the other two angles are 35 degrees
Answer: Answer for figure one is origin (0,0)
Answer for figure two is (2,4) /
Step-by-step explanation:
a) Here we can see that given graph is the equation of cubic function which is
f(-x) = -f(x) that is given function is odd then rotational symmetry point is origin always ,therefore point of rotational symmetry is origin (0,0)
b) The rotational symmetry of an ellipse is 180 degrees about the center of the ellipse .
And here the center of given ellipse is (2,4) ,therefore its rotational symmetry is about (2,4) That is if we rotate the given ellipse 180 degrees about (2,4) it will be at its original position.
