Help me solve this problem

The length of the missing leg is six

Step-by-step explanation:

Assuming that this is a right triangle, you can use the Pythagoras theorem

12^2+x^2=sqrt180^2

144+x^2=180

x^2=36

x=6

Therefore, the length of the missing leg is six.

Taking the above as a right angled triangle...

Pythagoras' rule can be applied to get the Missing side.

It goes...

Hyp² = Opp² + Adj²

Which translates to Hypotenuse, Opposite and Adjacent respectively.

Hyp = √180

Opp= 12

So we're missing Adj

Making adj the subject.

Adj = √ Hyp² – Opp²

= √[(√180)² – (12)²

= √ [ 180 – 144]

= √36

Adj = 6ft.

15% chance.

step-by-step explanation:

3/10 times, the 5 year old will get a tablet. 5/10 times, the 13 yer old will get a tablet. multiply both fractions to get 15/100 times, both would have a tablet.

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752