Answer: h = 89
Step-by-step explanation: Hope correct :)
Answer:
The range of the measure of third side is
.
Step-by-step explanation:
Given:
measure of the first side = 25 yd
measure of the second side = 38 yd
We need to find the range for the measure of the third side.
Solution:
Let the measure of the third side be 'x'.
Now by Triangle Inequality property which states.
Measure of the third side must be less than the sum of the measures of other two side and greater than difference of the measures of other two side.
Sum of two sides = measure of the first side + measure of the second side = 
Difference of two sides = measure of the second side - measure of the first side = 
framing the above quote in equation form we get;

Hence the range of the measure of third side is
.
Answer:
I do not think you can simplify it any further
Step-by-step explanation:
If you mean 15p squared - 7 q squared
Because they have different variables; p and q cannot be combined unless it is multiplication or division.
Considering that it is allowed to repeat the digits in the three-digit code, we have,
10 x 10 x 10 ways
which is equal to 1000 ways.
For the scenario that only even numbers without repetition can be included, we have,
5 x 3 x 1 ways
which is equal to 15 ways.
The probability is therefore 15/1000 or 3/200.
Answer:
a(n) = 5*2^(n-1)
Step-by-step explanation:
The nth term of a geometric series is given by the relation :
a(n) = ar^(n-1)
Where, a = first term ; r = common ratio ; a(n) = nth term of the series.
Given the series : 5, 10, 20, 40,
First term, a = 5
Common ratio = a2/ a1 = a3/a2
Common ratio = 10/5 = 20/10
Common ratio = 2 = 2
Hence, nth term =
a(n) = 5*2^(n-1)