If an integer is both a square and a cube, it can be of the form:
<span>(<span>a3</span><span>)^2</span></span>
Now,
since a cube can be of the form 7k or 7k+-1(thanks to FoolForMath),
we write
<span><span>a^3</span>=7k</span>
and get the no to be
49k^2
, which is in the form of 7 times something
<span>49<span>k^2</span>=7×(7<span>k^2</span>)</span>
Now put
<span><span>a^3</span>=7k+−1</span>
Square it
and you'll get a number in the form of (7times something +1)
Answer:
1) 5
2) 0.2
Step-by-step explanation:
The complete question is attached below.
The x-axis represents the time in hours and y-axis represents the distance in kilometers.
The first question asks how many kilometers, does Kendrick walk per hour. The straight line represents the distance traveled at various amounts of time.
The point marked on the graph is against time = 1 hour and Distance = 5 km. So this shows:
Kendrick walks 5 kilometers in 1 hour.
In next part, we have to find how much time Kendrick takes to walk 1 kilometer.
Since, we know that:
Kendrick walks 5 kilometers in time = 1 hour
Dividing both sides by 5, we can write:
Kendrick walks 1 kilometer in time = 1/5 hour = 0.2 hour
So, Kendrick takes 0.2 hours to walk 1 kilometer.
Answer:
∠J=85°
Step-by-step explanation:
Theory to know when answering this question:
1. The sum of the angles in a quadrilateral (shape with four sides) is 360°
2. Similar shapes have the same angles
Point 1 tells us that ∠P+∠Q+∠S+∠R=360
Point 2 tells us that ∠F=∠P, ∠G=∠Q, ∠J=∠S, and ∠H=∠R.
∴∠F+∠Q+∠J+∠R=360
109+122+∠J+44=360
∠J=360-275=85°