Answer:
The nth terms: 15,24,33,42,51,60,69,78,87,96,105...
Step-by-step explanation:
The nth term of an arithmetic sequence is given by an = a + (n – 1)d. So, to find the nth term, substitute the given values a = 2 and d = 3 into the formula
Answer:
It is the second triangle.
Step-by-step explanation:
This is because the area of the square is given as 25^2 as the perpendicular, 144^2 as the base, and the hypotenuse is 169^2.
Length of the perpendicular = 5^2 (Because 25^2 / 5^2)
Length of the base = 12^2
Length of the hypotenuse = 13^2
So, the Pythagoras theorem is,
=>
=>
This is true, because, 13*13 = 12*12 + 5*5
=> 169 = 144 + 25
=> 169 = 169
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Answer:
First rectangular solid and second Rectangular solid
1. Bases are in the form of square having same dimensions
2. Height of first rectangular solid=2 ×Height of second rectangular solid
The true statements are
A) The bases are congruent.→The meaning of term congruent is that , the two bases are in the shape of square having same dimensions.
(B) No, The solids are not similar.as ratio of side lengths in not same in each case , because the ratio of heights of two solid is equal to .
(D) Volume of first solid = x *x*2 H=2 x²H
Volume of second solid = x*x*H=x²H
Ratio of volumes =2:1
So, option (D) is true.
(E) Surface area of first solid =2[x*x+x*2 H+2 H*x]
=2[x²+4 H*x]=2 *x*[x+4* H]
Surface area of second solid = 2[x*x+x* H+ H*x]=2[x²+2 H*x]=2* x*[x+ 2*H]
Option A, D, E are correct about two solids.
Step-by-step explanation: