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:
17/12
Step-by-step explanation:
a positive improper fraction. the numerator becomes the denominator.
Answer:
432 ft²
Step-by-step explanation:
First lets find radius (r);
r = d/2
r = 24/2
r = 12
Now let's find the area;
A = π(12)²
A = 3(144)
A = 432 ft²
Hope this helps!
Answer:
5. mCD is 27.8° | 7. mAFC 52.3° |
Step-by-step explanation:
Answer:
-1/18
Step-by-step explanation:
First, you have to change both fractions to have like denominators. The LCM of 2 and 9 is 18.
Second, you have to multiply -1/2 by 9/9 to get a denominator of 18. -1/2 x 9/9 is - 9/18.
Third, you have to multiply 4/9 by 2/2 to get a denominator of 18. 4/9 x 2/2 = 8/18.
Fourth, -9/18 + 8/18 = -1/18
Hope this helps!
