Answer: All of them can be a triangle except for #11 because the two shortest sides don't add up to more than the longest side.
#10 is a Pythagorean Triple so it is a right triangle.
To determine if the triangle is an acute or obtuse triangle, we just need to plug the values into the Pythagorean Theorem. If the sum of the legs squared is greater than the hypotenuse, it's an acute triangle. If the sum of the legs square is less than the hypotenuse, it's an obtuse triangle.
Using this logic, 7 & 12 will be obtuse while 8 & 9 will be acute.
Answer:
3n + 2
Step-by-step explanation:
-n+(-4)-(-4n)+6
= -n -4 +4n +6 [positive plus negative = negative; ∴ +(-4) = -4
=4n - n +6 - 4 negative plus negative = positive; ∴ -(-4n) = 4]
now subtract n from 4n and subtract 4 from 6
=3n + 2
Answer:
Total taxes = $1,520
Step-by-step explanation:
We have two separate calculations for the taxes:
The tax rate for the first $5,000 of Clarisa's gross pay is 1%, so the amount of tax paid in this case is
1% * 5000 = $50
The tax rate for the amount of value over $5,000 (that is, 54,000 - 5,000 = 49,000) is 3%, so the amount of tax is:
3% * 49,000 = $1,470
So, the total amount deducted for state taxes is:
Total taxes = 50 + 1470 = $1,520
Answer: There is a difference between rote counting and rational counting. Rote counting involves the memorization of numbers. Rational counting tells children "how many there are." For children to count rationally, they need to demonstrate one-to-one correspondence.
