Answer:
18in
Step-by-step explanation:
Given data
Height h= 15 in
Area= 135 in^2
The expression for the area is given as
Area= 1/2 Base * Height
substitute
135= 1/2* Base*15
135= 7.5 Base
Base= 135/7.5
Base= 18 in
Hence the base is 18in
Answer:
Step-by-step explanation:
Hello, please consider the following.
So this is divisible by 3.
Now, to prove that this is divisible by 9 = 3*3 we need to prove that
is divisible by 3. We will prove it by induction.
Step 1 - for n = 1
4+17=21= 3*7 this is true
Step 2 - we assume this is true for k so 
is divisible by 3
and we check what happens for k+1
is divisible by 3 and
is divisible by 3, by induction hypothesis
So, the sum is divisible by 3.
Step 3 - Conclusion
We just prove that is divisible by 3 for all positive integers n.
Thanks
The answer would be 13 1/2 because you turn the 12 into a fraction then change the division sign into a multiplication sign and find the reciprocal of 8/9 which is 9/8 you could now divide 12/1 divided by 9/8 you could cross simply then dove to get 27/2 and in the end you get 13 1/2 if you turn the improper fraction into a mixed number.
Answer:
Explanation:
(3/14)k - 1 - 4 - (2/7)k = 0
(3/14)k - (4/14)k - 5 = 0
(-1/14)k = 5
-k = 5 x 14
k = -70
