Answer:
5 hours
Step-by-step explanation:
276/12= 23
115/23= 5
Answer:
Width = 18 inches
Length = 59 inches
Step-by-step explanation:
The length of a rectangle is five more than triple the width. If the perimeter is 154 inches, what are the dimensions
Perimeter of a rectangle = 2L + 2W
The length of a rectangle is five more than triple the width.
L = Length = 5 + 3W
W = Width
If the perimeter is 154 inches, what are the dimensions
Hence,
154 = 2L + 2W
154 = 2(5 + 3W ) + 2W
154 = 10 + 6W + 2W
Collect like terms
154 - 10 = 8W
144 = 8W
W = 144/8
W = 18 inches
Length = 5 + 3W
Length = 5 + 3(18)
Length = 5 + 54
Length = 59 inches
Answer: 21 , 72 , 75
Step-by-step explanation:
The one that could represent the three sides of a right angle triangle must obey Pythagoras theorem , that is
a = side of right triangle
b = side of right triangle
c = hypotenuse
Let's check the sides one after the other
1.
this means that
this could represent the three sides of a right triangle
2.
3.
4.
Therefore , the only combination that could represent the three sides of a right triangle will be 21 , 72 , 75
<h2>
Ordered triple are (4,-2,1)</h2>
Step-by-step explanation:
We need to find ordered triple of 2x + 5y - 3z = -5 , 3x + 2y + 7z = 15 and 5x - 4y + 6z = 34
2x + 5y - 3z = -5 -------------------------eqn 1
3x + 2y + 7z = 15 -------------------------eqn 2
5x - 4y + 6z = 34 -------------------------eqn 3
eqn 1 + eqn 2
5x + 7y + 4z = 10 -------------------------eqn 4
eqn 4 - eqn 3
11y - 2z = -24 -------------------------eqn 5
eqn 1 x 3
6x + 15y - 9z = -15 -------------------------eqn 6
eqn 2 x 2
6x + 4y + 14z = 30 -------------------------eqn 7
eqn 7 - eqn 6
-11y + 23z = 45 -------------------------eqn 8
eqn 5 + eqn 8
21 z = 21
z = 1
Substituting in eqn 8
-11y + 23 x 1 = 45
-11 y = 22
y = -2
Substituting in eqn 1
2x + 5 x -2 - 3 x 1 = -5
2x = 8
x = 4
Ordered triple are (4,-2,1)
Step-by-step explanation:
Given that,
Mass of Ella is 56 kg and mass of Tyrone is 68 kg.
Position of Ella is 1.5 m on the ramp.
Potential energy of an object is given by :
P = mgh
It is directly proportional to the position of an object.
If Tyrone stands at the top of ramp at more height than Ella, it will have more potential energy. Hence, the correct option is (d) "If Tyrone stands at the top of a 2 m high ramp, his potential energy will be greater than Ella's."