<h2>Answer: </h2>
<u>In a right triangle, Relation of base and hypotenuse is cosine</u>.
cos40° = 10/h
0.76604 = 10 × h
0.76604h = 10
h = 10/0.76604 = 13.05units.
0.25•4=1
5.5/.25=22
Clara would have to run 22 laps
1 modulo 9 is the set of numbers as follows:
(0(9) + 1), (1(9) + 1, ....)
which is:
1, 10, 19
All we have to do is divide 1000 by 9, and round down.
1000/9 = 111.111......
There are 111 numbers.
Now let us check our work.
the set is as follows:
(1,10,19, ....... (111)9 +1)
(1, 10, 19 ........ 1000)
We are within 1000.
Therefore, 111 of the 1000 smallest positive integers are congruent to 1 modulo 9.
Answer:
x = - 8 , x = 2
Step-by-step explanation:
the absolute value function always gives a positive result, however, the expression inside can be positive or negative, , that is
x + 3 = 5 ( subtract 2 from both sides )
x = 2
or
-(3 + x) = 5
- 3 - x = 5 ( add 3 to both sides )
- x = 8 ( multiply both sides by - 1 )
x = - 8