Frank can build a fence in twice the time it would take Sandy. Working together, they can build it in 7 hours. How long will it take each of them to do it alone?
Answer
If Frank and Sandy can build the fence in 7 hours, they must be building
1
7
of the fence every hour.
Now, let the amount of time it takes Sandy be
x
hours so that Frank takes
2
x
hours. Sandy can build
1
x
of the fence every hour and Frank can build
1
2
x
of the fence every hour.
We now have the following equation to solve.
1
x
+
1
2
x
=
1
7
2
+
1
2
x
=
1
7
21
=
2
x
x
=
21
2
=
10.50
Thus, Sandy takes
10.50
hours and Frank takes
21
hours.
The angle where the letter S is which would be angle RSQ = 1/2 x (131 +43) = 87
the angle opposite os RSQ would be PST and that would equal the same as RSQ which is 87
so 2 angles = 87 +87 = 174
so the other 2 angles need to equal 360 - 174 = 186
since opposite angles equal each other divide that by 2 so 186 / 2 = 93
so both angle RST and PSQ are 93
The answer is D 93 degrees
Answer: velocity-time graph
Step-by-step explanation: The principle is that the slope of the line on a velocity-time graph reveals useful information about the acceleration of the object. If the acceleration is zero, then the slope is zero (i.e., a horizontal line). If the acceleration is positive, then the slope is positive (i.e., an upward sloping line).
Answer:
122.7792 sq. m
Step-by-step explanation:
diameter= 8.4 m
therefore, radius = r = 4.2 m.......( as radius is 1/2 of diameter)
height = h= 12 m
only the exterior is to painted so the total surface area of the cylinder is taken,
total surface area of cylinder = 2π r( h+r)
=2* 3.14* 4.2*(12+4.2)
=122.7792 sq. m
Answer:
(- 2, 4 )
Step-by-step explanation:
A translation of 5 units left means subtract 5 from the original x- coordinate.
A translation of 6 units up means add 6 to the original y- coordinate.
Thus
(3, - 2 ) → (3- 5, - 2 + 6 ) → (- 2, 4 )
