Answer: 1.27 in
Step-by-step explanation:
100= 16 (3.14 (2.5/2)^2 x t)
t= 1.27 in
Answer:(5/3,5/3)
Step-by-step explanation: I did the test ;D
Answer:
The standard general equation for a straight line is:
y = mx + C. You said the slope of line is 2/3. m is always the slope in this context. So with the numerical value slope we have the line
Y = 2/3 X + C. You also said the line passes through the point (1, -4) that is the X value is 1 and the y value is -4. Substitute these value into the linear equation to find C, as follows
-4 = 2/3 + c. and so C = - 4 - 2/3 = -14/3 and so the equation of line is :
y = 2x/3 + 14/3 or if you like 3y = 2x + 14
It is important to remember that the convention of the bracketted numbers e.g. (1,-4) or ( 1, -4, z), say is that the first number in the brackets indicates the X value, the second the y value and the third, the z value in the case of 3 D coordinates.
Answer:
You will need 20 sides to complete the loop.
Step-by-step explanation:
The question isn't quite clear given how small the corner is, but I assume that we are looking to complete the circle if the pentagon and square are repeated in a loop
We can also see - assuming that those are proper equal-sided polygons, that PQ is the same length as PV
With that in mind, We can solve this by noting that the angle of a corner in a square is 90 degrees, and in a pentagon it's 108 degrees.
108 - 90 is equal to 18. This means that PQ is at eighteen degrees to YP. Also, QM, (which will be equivalent to the next VP is eighteen degrees to PQ.
This means that each polygon is rotated 18 degrees relative to it's neighbour.
With all that we can say that the total polygons we need to form a circle is 360/18 = 20, So you will need 20 polygons, or ten squares and ten pentagons to complete the loop.