You can use the Pythagorean theorem.
10^2+24^2=diagonal^2
Diagonal=26 inches
Answer:
Step-by-step explanation:
3x+2y=14
x+2y=6
2x=8
x=4
Substitute 4 x in equation 1
3(4)+2y=14
y=1
Base case: if <em>n</em> = 1, then
1² - 1 = 0
which is even.
Induction hypothesis: assume the statement is true for <em>n</em> = <em>k</em>, namely that <em>k</em> ² - <em>k</em> is even. This means that <em>k</em> ² - <em>k</em> = 2<em>m</em> for some integer <em>m</em>.
Induction step: show that the assumption implies (<em>k</em> + 1)² - (<em>k</em> + 1) is also even. We have
(<em>k</em> + 1)² - (<em>k</em> + 1) = <em>k</em> ² + 2<em>k</em> + 1 - <em>k</em> - 1
… = (<em>k</em> ² - <em>k</em>) + 2<em>k</em>
… = 2<em>m</em> + 2<em>k</em>
… = 2 (<em>m</em> + <em>k</em>)
which is clearly even. QED
He is not correct because 3.5 is actually 3 and 1/2
not 3/5
hope that helps @:)
Answer:
785.4cm^3
Step-by-step explanation:
(10÷2)^2*π=25π
25π*10=250π≈785.4