In every mile, there is 1760 yards.
1760 x 8
14080 yards in 8 miles.
27, 36, and 45.
Here's a good nines trick.
9
18
27
36
45
If you pay attention is just adds a ten and minuses a 1 from each number.
8,7,6,5. And 1,2,3,4.
Hope this helps :)
3rd option would be correct in my opinion
Answer:
613 inches
Step-by-step explanation:
Area right triangle = 10,710
Formula for area of a triangle = 1/2(base x height)
We need to find the base because height and area is given
Reverse divide by 2 by doing multiply by 2
10,710 x 2 = 21420
Revers multiply by 612 by dividing by 612
21420 / 612 = 35
Base = 35
Formula for hypotenuse = a² + b² = c²
In this case a = 35, b = 612, and c = hypotenuse
35² + 612² = c²
1225 + 374544 = c²
375769 = c²
Square root of 375769 = 613
Hypotenuse = 613
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
X= shorter leg
x+6= longer leg
(x+6)+6= hypotenuse
Use the Pythagorean theorem to find the length of each side.
a= one leg
b= other leg
c= hypotenuse.
SHORTER LEG:
a^2 + b^2= c^2
substitute each length above
x^2 + (x+6)^2= [(x+6)+6]^2
square each set of parentheses; add inside right side parentheses before squaring
x^2 + (x+6)(x+6)= (x+12)(x+12)
squaring is multiplying each parentheses by itself one time; use the FOIL method: multiply first, multiply outside, multiply inside, multiply last
x^2 + x^2 + 6x + 6x + 36= x^2 + 12x + 12x + 144
combine like terms
2x^2 + 12x + 36= x^2 + 24x + 144
subtract x^2 from both sides
x^2 + 12x + 36= 24x + 144
subtract 24x from both sides
x^2 - 12x + 36= 144
subtract 144 from both sides
x^2 - 12x - 108= 0
factor
(x + 6)(x - 18)= 0
set each parentheses equal to 0
x + 6= 0
x= -6
x - 18= 0
x= 18 cm shorter leg
***Since a side cannot be a negative number, x= 18. Substitute x=18 to find the other sides.
LONGER LEG:
= x+6
= 18 + 6
= 24 cm longer leg
HYPOTENUSE:
= (x+6)+6
= 18 + 6 + 6
= 30 cm hypotenuse
CHECK:
18^2 + 24^2= 30^2
324 + 576= 900
900= 900
ANSWER:
x= 18 cm shorter leg
x+6= 24 cm longer leg
(x+6)+6= 30 cm hypotenuse
Hope this helps! :)
