26.5 ..................................
Answer: 125 centimeters
1,250 millimeters
Step-by-step explanation:
'centi' means hundred. 100 centimeters go into a meter.
'milli' means thousand. 1,000 millimeters go into a meter. Easy math from there.
The slope of the line that passes through (5,−10) and ( 11 , − 12 ), in simplest form is: -1/3
<em><u>Recall:</u></em>
- The slope of a line passing across through two points can be calculated using:
<em><u>Given two points:</u></em>
(5,−10) and ( 11 , − 12 )
Slope (m) = -2/6
Slope (m) = -1/3
Therefore the slope of the line that passes through (5,−10) and ( 11 , − 12 ), in simplest form is: -1/3
Learn more about slope of a line on:
brainly.com/question/3493733
Step-by-step explanation:
tan(Θ + 30°)
Use angle sum formula:
tan(A + B) = (tan A + tan B) / (1 − tan A tan B)
So we can write this as:
(tan Θ + tan 30°) / (1 − tan Θ tan 30°)
tan 30° = 1/√3, so:
(tan Θ + 1/√3) / (1 − 1/√3 tan Θ)
Multiply top and bottom by √3:
(√3 tan Θ + 1) / (√3 − tan Θ)
I suspect you meant
"How many numbers between 1 and 100 (inclusive) are divisible by 10 or 7?"
• Count the multiples of 10:
⌊100/10⌋ = ⌊10⌋ = 10
• Count the multiples of 7:
⌊100/7⌋ ≈ ⌊14.2857⌋ = 14
• Count the multiples of the LCM of 7 and 10. These numbers are coprime, so LCM(7, 10) = 7•10 = 70, and
⌊100/70⌋ ≈ ⌊1.42857⌋ = 1
(where ⌊<em>x</em>⌋ denotes the "floor" of <em>x</em>, meaning the largest integer that is smaller than <em>x</em>)
Then using the inclusion/exclusion principle, there are
10 + 14 - 1 = 23
numbers in the range 1-100 that are divisible by 10 or 7. In other words, add up the multiples of both 10 and 7, then subtract the common multiples, which are multiples of the LCM.
