Step-by-step explanation:
3a-3(a+2)=10
3a-3a-6=10
+3 +3
6a-6=10
+6 +6
6a=16
10 is the stubstitution for 5 q, since 2 plus 5 equals 7. What is 10 divided by 5?
Answer:
9(n + 22) ≤ -15
Step-by-step explanation:
9 times the sum of a number and 22 is at most −15
Let n = number
Times = multiplication
Sum = Addition
9 * n + 22
We must add parenthesis on the end on 22 and before n
We must do this because it says 9 times the sum of a number and 22 which means that 9 is being multiplied by both n and 22
We would have 9(n + 22)
9(n + 22) is at most -15
At most meaning that -15 is the highest number that 9(n + 22) can equal
Because it says at most 9(n + 22) can equal -15 or anything less than -15
So at most can be replaced with ≤
9(n + 22) ≤ -15
Total time spent reading is = 8/9 hour
He spends 1/4 of the time reading world news. That is = 1/4 * 8/9 = 2/9 hour
Splits the remaining time equally. Remaining time = 8/9 - 2/9 = 6/9
Splitting it equally = 6/9 divided by 2 = 6/9 * 1/2 = 3/9 = 1/3
Time spent reading comic is = 1/3 hour
I hope this helps.
See the picture attached to better understand the problem
we know that
in the right triangle ABC
cos A=AC/AB
cos A=1/3
so
1/3=AC/AB----->AB=3*AC-----> square----> AB²=9*AC²----> equation 1
applying the Pythagoras Theorem
BC²+AC²=AB²-----> 2²+AC²=AB²---> 4+AC²=AB²----> equation 2
substitute equation 1 in equation 2
4+AC²=9*AC²----> 8*AC²=4----> AC²=1/2----> AC=√2/2
so
AB²=9*AC²----> AB²=9*(√2/2)²----> AB=(3√2)/2
the answer isthe hypotenuse is (3√2)/2