Answer:
θ ≈ 17.1°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan θ = 
= 
= 
, then
θ = 
( ) ≈ 17.1° ( to the nearest tenth )
<h3>
Answer: 23</h3>
The three angles of any triangle always add to 180, so,
z+62+95 = 180
z+157 = 180
z+157-157 = 180-157 .... subtract 157 from both sides
z = 23
As a check,
z+62+95 = 23+62+95 = 180
so the answer is confirmed.
Well, we could try adding up odd numbers, and look to see when we reach 400. But I'm hoping to find an easier way.
First of all ... I'm not sure this will help, but let's stop and notice it anyway ...
An odd number of odd numbers (like 1, 3, 5) add up to an odd number, but
an even number of odd numbers (like 1,3,5,7) add up to an even number.
So if the sum is going to be exactly 400, then there will have to be an even
number of items in the set.
Now, let's put down an even number of odd numbers to work with,and see
what we can notice about them:
1, 3, 5, 7, 9, 11, 13, 15 .
Number of items in the set . . . 8
Sum of all the items in the set . . . 64
Hmmm. That's interesting. 64 happens to be the square of 8 .
Do you think that might be all there is to it ?
Let's check it out:
Even-numbered lists of odd numbers:
1, 3 Items = 2, Sum = 4
1, 3, 5, 7 Items = 4, Sum = 16
1, 3, 5, 7, 9, 11 Items = 6, Sum = 36
1, 3, 5, 7, 9, 11, 13, 15 . . Items = 8, Sum = 64 .
Amazing ! The sum is always the square of the number of items in the set !
For a sum of 400 ... which just happens to be the square of 20,
we just need the <em><u>first 20 consecutive odd numbers</u></em>.
I slogged through it on my calculator, and it's true.
I never knew this before. It seems to be something valuable
to keep in my tool-box (and cherish always).
Answer:
Step-by-step explanation:
According to the Remainder Theorem; when P(y) is divided by y-a, the remainder is p(a).
The first polynomial is :
When p(y) is divided by y-5, the remainder is
When the second polynomial:
is divided by y-5.
The remainder is;
The two remainders are equal;
Answer:
Yes it does
Step-by-step explanation:
Why because “r” it means rows there could 1- infinite rows so S=7r (7 it means that each row has 7 seats) so let’s say r=2 (remember that is the # of rows are) so S=7(2)+ 2 (we replace r=2 on X) so 7•2=14 S=14+2=16 soo there are S=16 like 16 seats in 2 rows hope this could help y you understand....
