The answer is the square root of (12^2 + 5^2), which is 13. You're correct
Answer:
8 feet
Step-by-step explanation:
Rectangles have congruent opposite side lengths. This means that if one of its longer sides were 2 1/3 feet and one of its shorter sides were 1 3/4 feet then the other longer side would also be 2 1/3 feet and the other shorter side would be 1 3/4 feet.
Therefore to find the perimeter, you would take the given side lengths and multiply them each by 2 to account for both of the congruent sides.
- 2(2 1/3) + 2(1 3/4) = perimeter of rectangle
To multiply these fractions they would have to be converted into improper fractions. Multiply the whole number by the denominator and add the numerator---keeping the denominator the same in the converted form.
Now you can multiply these fractions by 2. Multiply the numerators by 2 and keep the denominator the same.
- 2(7/3) + 2(7/4)
- 14/3 + 14/4
To add them they should have common denominators so multiply 14/3 by 4/4 and 14/4 by 3/3.
- 14/3 (4/4) = 56/12
- 14/4 (3/3) = 42/12
Add 54/12 and 42/12 together by combining the numerators and keeping the denominators the same.
You can simplify this improper fraction even more by dividing 96 by 12 since 12 is a factor of 96.
The perimeter of the rectangle is 8 feet.
Answer:
5.7 units
Step-by-step explanation:
The distance from point P to QS is the distance from point P (1, 1) to the point of interception R(-3, 5).
Use distance formula to calculate distance between P and R:

Let,


Plug in the values into the formula.




(to nearest tenth)
Answer:
14.29
Step-by-step explanation:
Let p be the price of the cd
we take the price of the cd plus the tax and it must be less than or equal to 15
the tax is the price of the cd times 5 %
p + p*.05 ≤15
Combine like terms
p*1.05 ≤15
Divide each side by 1.05
p ≤15/1.05
p ≤14.28571429
Rounding to the nearest cent
p ≤14.29
The maximum price is 14.29