The triangle inequality states that in a triangle, any two of the side lengths must add up to a length that is greater than the third. That is, if you have a triangle with sides a, b, and c, then a+b>c, a+c>b, and b+c>a.
In this case, we are given two lengths of a triangle. Let's call those two values a and b, where a>b.
Then we have that c
Now we can also use another inequality, a
Now we can apply these limits to all the individual questions.
1) 13 - 10 < c < 13 + 10. This simplifies down to 3 < c < 23
2) 12 - 5 < c < 12 + 5. This simplifies down to 7 < c < 17
3) 11 - 4 < c < 11 + 4. This simplifies down to 7 < c < 15
Hope it help!
4 different salads, 7 different main courses, and 6 different desserts
Answer:
- pitcher: $48 million
- shortstop: $8 million
Step-by-step explanation:
The ratio of salaries can be written as ...
short : pitcher = 1 : 6
Then the fraction of the total that the shortstop received is ...
short : total = 1 : (1+6) = 1 : 7
The shortstop's salary was (1/7)×($56 million) = $8 million.
The pitcher's salary was 6 times that, so 6×($8 million) = $48 million.
The pitcher's salary was $48 million; the shortstop's, $8 million.
The value of the 5 in 581.03 is 100 times the value of the 5 in 5.472
Step-by-step explanation:
Each digit in a number has a place value.
The place value of 4 in 453.56 is hundreds (100), because 4 is in the hundred place
The place value of 2 in 1782.56 is ones (1), because 2 is in the unit place
The place value of 3 in 2.345 is tenth (0.1), because 3 is in the tenth place
∵ The number is 581.03
- Find the place of 5 in the number
∵ 5 is in the hundred place
∴ The place value of 5 is 100
∵ The number is 5.472
- Find the place of 5 in the number
∵ 5 is in the unit place
∴ The place value of 5 is 1
To find the value of the 5 in 581.03 is how many times the value of the 5 in 5.472 divide the place values of them
∵ 100 ÷ 1 = 100
∴ The value of 5 in 581.03 = 100 times the value of 5 in 5.472
The value of the 5 in 581.03 is 100 times the value of the 5 in 5.472
Answer: 3/25 and 9/20
Step-by-step explanation:
We take the number and covert it into a fraction
A 2 digit Numerator = a 3 digit denominator
A 3 digit Numerator = a 4 digit denominator
And so on...
Then We can reduce,
45/100 = 9/20
120/1000 = 3/25
Hope this helped!
