Answer:
n=65th term
Step-by-step explanation:
AP:3,15,27,39......
From the AP
a=3
a+d=15
a+2d=27
3+d=15 (1)
3+2d=27 (2)
Subtract (1) from (2)
We have,
2d-d=27-15
d=12
54th term=a+(n-1)d
=3+(54-1)12
=3+(53)12
=3+636
=639
The term is 132 more than the 54th term
132+54th term
=132+639
=771
Find the term
771=a+(n-1)d
771=3+(n-1)12
771-3=12n-12
768=12n-12
768+12=12n
780=12n
n=780/12
=65
n=12
The term which is 132 more than the 54th term is the 65th term
What is the line of reflection between pentagons PQRST and P'Q'R'S'T'?
x = 0
y = x
y = 0
x = 1
Yes, the answer is A. x=0. Another way to say "reflect across the y-axis" is to say "reflect across the line x=0" since the line created by graphing x=0 is the same as the y-axis. An image that is a reflection across the y-axis, or across the line x=0, will have opposite x-coordinates from the pre-image but identical y-coordinates. In other words, the x value points just changed signs from negative to positive values since it went through the rule (x, y) → (−x, y).
Match Term Definition
Triangle A) perpendicular cross section of a cylinder
Rectangle B) perpendicular cross section of a pyramid
Circle C) shape created when a right triangle is rotated about the y-axis
Cylinder D) parallel cross section of a sphere
Answer:
Part A) Rectangle
Part B) Triangle
Part C) Cone
Part D) Circle
Step-by-step explanation:
Part A) Perpendicular cross section of a cylinder
The perpendicular cross section of a cylinder is a rectangle
The base of the rectangle is equal top the diameter of the circular base of cylinder and the height of the rectangle is equal to the height of the cylinder
Part B) Perpendicular cross section of a pyramid
Cross sections perpendicular to the base and through the vertex of a pyramid will be triangles
Part C) Shape created when a right triangle is rotated about the y-axis
When a right triangle is rotated about the y-axis, then it forms a cone.
The vertical leg of the triangle becomes the height of the cone.
The horizontal leg of the triangle becomes the radius of the cone.
The hypotenuse of the triangle becomes the slant height
Part D) Parallel cross section of a sphere
The parallel cross section of a sphere is a circle
All cross sections of a sphere are circles
Answer:
6<x<30
Step-by-step explanation:
x is between x and 30
greater than 6 but less than 30
I hope it helps!
Answer:
its 6 I just took the assignment
The answer is Always
Step-by-step explanation:
In this case, 40 hectograms is equal to 4000 grams.
To convert hectograms to grams, we need to know that 1 hectogram (hg) is equal to 100 grams (g).
Now, let's calculate the number of grams in 40 hectograms:
1 hectogram = 100 grams
Therefore, 40 hectograms will be:
40 hectograms = 40 * 100 grams
40 hectograms = 4000 grams
So, there are 4000 grams in 40 hectograms.
In summary, to convert hectograms to grams, we use the conversion factor of 1 hectogram = 100 grams. By multiplying the number of hectograms by 100, we get the equivalent weight in grams. In this case, 40 hectograms is equal to 4000 grams. This conversion is based on the metric system, where prefixes like hecto- and kilo- represent multiples of 100 and 1000, respectively, making it easy to convert between different units of weight.
To know more about hectograms:
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