Answer:
11.2
Step-by-step explanation:
First draw an imaginary straight line to separate the two shapes.
You will have a side of 10 in the traingle
And a side of 13 - 8 =5
Then
Using pythagoras theorem
Sqrt(10^2+5^2)=11.180
Answer:
(A) 4.03 x 10^14
Step-by-step explanation:
403,000,000,000,000
Scientific notation is of the form
a * 10 ^b
where a is a number from 1 to a number less than 10
Put the decimal in the number
403,000,000,000,000.
We need to move the decimal 14 places to the left to get the number to be between 1 and 10
4.03000000000000 so the b is 14
Since we moved it to the left b is positive
We can drop the extra zeros at the end (after the last nonzero digit)
4.03 *10^14
Answer:
D
Step-by-step explanation
Process capabilitty ration and process capability index are statistical tools which are often used to produced output within a limit.
3(-3 + 7x) ≤ -93
-3 + 7x ≤ -31
7x ≤ -28
x ≤ -4
Answer: x ≤ -4
-6(1 + 8x) ≥ 138
Multiplying or dividing both sides by a negative number flips the sense of the inequality.
1 + 8x ≤ 138/(-6) = -23
8x ≤ -24
x ≤ -24/8
Answer: x ≤ -3
7(6x - 4) ≥ 6x - 28
42x - 28 ≥ 6x - 28
36x ≥ 0
x ≥ 0
Answer: x ≥ 0
86 ≤ -4(1 - 5x) - 2x
86 ≤ -4 + 20x - 2x
90 ≤ 18x
5 ≤ x
Answer: x ≥ 5
Answer:
39
Step-by-step explanation:
Plug in 5 for a and 2 for d:
7x5+2x2
=35+4
=39
