Compare the numbers using <, >, or =. 0.78 ___ 0.708 < > =
Answer:
Tom’s age is 7 years
Mary’s age is 13 years
Step-by-step explanation:
Since we do not know the ages, let’s represent the ages by variables at first.
Let m represent mary’s age will t represent Tom’s age.
Now, let’s proceed to have equations.
Adding square of Tom’s age (t^2) to mary’s age give 62
t^2 + m = 62 •••••••(i)
Adding square of mary’s age (m^2) to Tom’s age give 176
m^2 + t = 176 •••••••(ii)
Now, to get the individual ages, we will need to solve both equations simultaneously.
Solving both equations simultaneously without mathematical softwares can be a little hard.
By the use of mathematical software ( wolfram alpha to be specific), we can input both equations and allow the software to solve.
By inputing these equations, we have the values of t to be 7 and m to be 13
And if we try to check by inspection, we can see that these values are actually correct.
7^2 + 13 = 62
13^2 + 7 = 176
Answer:
Step-by-step explanation:
The area and perimeter of the given shaded figure are respectively 33.12 unit² and 20.56 units.
Area and perimeter-based problem:
What information do we have?
Radius of semi-circle = 8 / 2 = 4 unit
Length of remain Rectangle = 8 unit
Width of remain Rectangle = 2 unit
Perimeter of shaded figure = πr + (l + 2b)
Perimeter of shaded figure = (3.14)(4) + [4 + (2)(2)]
Perimeter of shaded figure = 12.56 + 4 + 4
Perimeter of shaded figure = 20.56 units
Area of shaded figure = πr²/2 + lb/2
Area of shaded figure = (3.14)(4)²/2 + (8)(2)/2
Area of shaded figure = (3.14)(8) + 8
Area of shaded figure = 25.12 + 8
Area of shaded figure = 33.12 unit²
Answer:
A
Step-by-step explanation:
(y + 7) - (-8y + 14) = y + 7 + 8y - 14 = 9y - 7
vertex (1,-1) axis of symmetry is x=1, domain all real numbers (i think neg ys) range y is less equal than -1, y increases as x less 0 bug IMO x decreases
