Number of dogs in the shelter are 12
<u>Step-by-step explanation:</u>
Step 1:
Given that total animals = 108 and number of ferrets = 1/3 of 108. Find number of ferrets in the shelter.
Number of ferrets = 1/3 of 108 = 1/3 × 108 = 36
Step 2:
Given that of the remaining animals, number of cats = 5/6. Find the remaining animals and the number of cats.
Remaining number of animals = 108 - 36 = 72
Number of cats = 5/6 of 72 = 5/6 × 72 = 60
Step 3:
Find number of dogs in the shelter.
Number of dogs = 108 - (36 + 60) = 108 - 96 = 12
Step-by-step explanation:
In the following triangle, a= ? , b= 2cm.
m<B= 105° , m<C = 15° ,m< A =?
Now, we know that sum of the interior angles of the triangle = 180°
m<B+m<C +m< A =180°
105°+15°+m< A=180°
m< A= 180- 120° = 60°





Answer:
x = log 10/log 3
Step-by-step explanation:
3^x - 4 = 6
3^x = 10
We take log base 3 of both sides since log_3 3^x is simply x.
log_3 3^x = log_3 10
x = log_3 10
We have an answer for x, but it is a log base 3. We want log base 10.
Now we use the change of base formula.
log_b y = log y/log b
x = log 10/log 3
X+1=y+1
X-Y= 0
Hope this helped you