Answer:
Length of the hypotenuse = 3√5 units
Step-by-step explanation:
Given:
Right triangle sides
a = 3
b = 6
Find:
Length of the hypotenuse
Computation:
Length of the hypotenuse = √a² + b²
Length of the hypotenuse = √3² + 6²
Length of the hypotenuse = √9 + 36
Length of the hypotenuse = √45
Length of the hypotenuse = 3√5 units
change the mixed numbers to improper fractions
3 3/5 = (5*3+3)/5 =18/5
2 1/4 = (4*2+1)/4 = 9/4
18/5 divided by 9/4
copy dot flip
18/5 * 4/9
18/9 * 5/4 =
10/4
5/2
return to a mixed number
2 1/2
The two algebraic fractions can be added or subtracted only if they have the common denominators. So when adding or subtracting algebraic fractions the first thing that must be done is to take the LCM of the denominators and convert the denominators to same expressions. Only after this step the fractions can be added or subtracted. If this step is not performed, the operations cannot be performed correctly. This concept is similar to the addition and subtraction of simple fractions.
Answer:6
Step-by-step explanation:
using BIDMAS: Brackets,Indices,division,multiplication,addition,subtraction.
1) Firstly you do the problem in the brackets. (-19 - -20) two negatives next to each other make a plus(+) meaning (-19 - -20) = (-19+20) which = 1
2) Next Step is to do the multiplication section. Since we got 1 in place instead of (-19 - -20) we multiply -3 by 1 which = -3.
3) Now the equation we have is 11 + -8 - -3. In BIDMAS both addition and subtraction are equal therefore we can do it in any order. 11 + -8 is the same as 11 - 8 = 3
4) The problem we have now is 3 - -3, like we said before two negatives next to each other make an addition sign(+) so 3 - -3 = 3+3 = 6, therefore getting the answer 6.
Thank you for reading,please let me notify me if I've missed anything out!
Answer:
Richard will pay $30.
Step-by-step explanation:
Because "x" is equivalent to the amount of video games he rents, you would replace "x" with 5. Do the math, and you would get 10+20=30! Hope this helps!