Answer:
7040.76 Joule
Step-by-step explanation:
In order to make yourself be able to climb upstairs, you need to work against the force of gravity. The force with which you pull yourself up is equal to the force of gravity exerted on you by the gravitational force.
So here, the net force involved is Mass(in Kg) multiplied by Acceleration due to gravity.
132 pounds = 59.8742 Kg
Net force = 59.87 × 9.8 = 586.73
As we know, the workdone is calculated by Multiplying the Net force with the Net displacement. Here, in this case the net displacement is 12 meters.
So,
Workdone = 586.73 × 12 = 7040.76 Joule
To finish the demonstration that the quadrilateral JKLM is a rhombus we need to prove that side JK is congruent with side LM.
The length of a segment with endpoints (x1, y1) and (x2, y2) is calculated as follows:
![\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Substituting with points L(1,6) and M(4,2) we get:
![\begin{gathered} LM=\sqrt[]{(4-1)^2+(2-6)^2} \\ LM=\sqrt[]{3^2+(-4)^2} \\ LM=\sqrt[]{9+16^{}} \\ LM=5 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20LM%3D%5Csqrt%5B%5D%7B%284-1%29%5E2%2B%282-6%29%5E2%7D%20%5C%5C%20LM%3D%5Csqrt%5B%5D%7B3%5E2%2B%28-4%29%5E2%7D%20%5C%5C%20LM%3D%5Csqrt%5B%5D%7B9%2B16%5E%7B%7D%7D%20%5C%5C%20LM%3D5%20%5Cend%7Bgathered%7D)
Given that opposite sides are parallel, all sides have the same length, and, from the diagram, the quadrilateral is not a square, we conclude that it is a rhombus.
10+4x=5(x-6)+
x=7
I hope this helps
Answer:
20
Step-by-step explanation:
Maya has 120 caramel apples to sell.
Each caramel apple is covered with one topping.
1/5 of the caramel apples are covered with peanuts.
1/3 of the caramel apples are covered with chocolate chips.
3/10 of the caramel apples are covered with coconut.
The rest are covered with sprinkles.
find:
How many caramel apples are covered with sprinkles?
120 = (1/5 * 120) + (1/3 * 120) + (3/10 * 120) + sprinkles
120 = 24 + 40 + 36 + sprinkles
sprinkles = 120 - 24 - 40 - 36 = 20
therefore,
there are 20 caramel apples covered with sprinkles.
Answer:
Step-by-step explanation:
To find the distance between any two points, we can use the distance formula:
Our first point, A, is at (1, 1) and our second point, B, is at (-2, 8).
Let's let A(1, 1) be (x₁, y₁) and B(-2, 8) be (x₂, y₂). Substitute this into the distance formula:
Subtract:
Square:
Add:
This cannot be simplified.
So, the distance between the two points is √58 or about 7.6 units.
And we're done!
So... where's my cookie :)?
