Answer:
1/4th of total cost = $12
so
for total cost = $12 X 4
= $ 48
the game cost is $48
A right triangle has one leg with unknown length, the other leg with length of 5 m, and the hypotenuse with length 13 times sqrt 5 m.
We can use the Pythagorean formula to find the other leg of the right triangle.
a²+b²=c²
Where a and b are the legs of the triangle and c is the hypotenuse.
According to the given problem,
one leg: a= 5m and hypotenuse: c=13√5 m.
So, we can plug in these values in the above equation to get the value of unknown side:b. Hence,
5²+b²=(13√5)²
25 + b² = 13²*(√5)²
25 + b² = 169* 5
25+ b² = 845
25 + b² - 25 = 845 - 25
b² = 820
b =√ 820
b = √(4*205)
b = √4 *√205
b = 2√205
b= 2* 14.32
b = 28.64
So, b= 28.6 (Rounded to one decimal place)
Hence, the exact length of the unknown leg is 2√205m or 28.6 m (approximately).
Answer:
absolutely no idea if this is right but i put the first one
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given
Required
The equivalent expression
We have:
Expand
Further expand
Apply laws of indices
If b>a, b-a=5 so b=5+a
ab=126, using b from above
a(5+a)=126
5a+a^2=126
a^2+5a-126=0
(a+14)(a-9)=0, since a<0 the numbers are
-14 and -9
