Mass and energy are relative
The equation E= mc^2 states that the amount of energy possessed by an object is equal to its mass multiplied by the square of the speed of light.
Hopes this helps!!
324, 361, 400
18^2=324
19^2=361
20^2=400
Answer:
The scale factor is 2/3.
Step-by-step explanation:
Given data,
The given image is (6,9)
The image after dilation is (4,6)
The scale factor is calculated by dividing the resultant image by the initial image.
For example, if the initial dimensions are (x1, y1) and the final dimensions are (x2,y2). The scale factor is calculated using x2/x1 = y2/y1 = Scale Factor
In our scenario,
x1 = 6
x2 = 4
y1 = 9
y2 = 6
Scale Factor = x2/x1
=> 4/6
=> 2/3
Similarly for y axis,
Scale Factor = y2/y1
=> 6/9
=> 2/3
Therefore, the scale factor is 2/3.
Answer:
The weight of Rachel is less than 40 Pounds.
The weight of Stephanie is less than 120 Pounds
Step-by-step explanation:
Sum of both both their weights is less than 160 pounds.
Let the weight of Rachel = k Pounds
⇒The weight of Stephanie = (3k) pounds
Now, according to the question:
k + 3k < 160
or, 4k < 160
⇒ k < 160/ 4 = 40
or, k < 40
⇒ The weight of Rachel is less than 40 Pounds.
and The weight of Stephanie is less than (3 k = 3 x 40) 120 Pounds
Answer:
∠G = 23.3
∠H = 42.8
∠J = 19.9
Step-by-step explanation:
<em>Tan(G) = 0.43</em>
=> G = Tan⁻¹(0.43)
=> <u>∠G = 23.3</u>
<em>Sin(H) = 0.68</em>
=> H = Sin⁻¹(0.68)
=> <u>∠H = 42.8</u>
<em>Cos(J) = 0.94 </em>
=> J = Cos⁻¹(0.94)
=> <u>∠J = 19.9</u>
Hope this helps!
