Answer:
Sam initially made 45 bread rolls
Step-by-step explanation:
Let x = total number of bread rolls made by Sam. He gives 2/5 of the bread to his neighbor. This means he gave 2/5 × x =
2x/5 bread rolls to his neighbor.
The remainder would be x - 2x/5 =3x/5
He gave 4/9 of the remainder to his cousin = 4/9 ×3x/5=12x/45
=4x/15
He has 15 bread rolls left
Total number of bread rolls = what he has left + what he gave his cousin + what he gave his neighbor
x = 15 + 4x/15 + 2x/5
Taking LCM of 15 and cross multiplying
15x= 225+4x + 6x
15x = 225 +10x
15x-10x = 225
5x = 225
x = 225/5 =45
Sam initially made 45 bread rolls
You can use the trig ratios. Draw a diagram to see which one is appropriate.
Tan would be used.
Tan29=x/20
20Tan29=x
Put this into your calculator and see what you get
Interval notation is used to write a set of real numbers from one value to another value.
On the left, you start with left parenthesis or left bracket.
Then you follow by two numbers separated by a comma.
You then finish with a right parenthesis or right bracket.
To include a number, use a square bracket.
To exclude a number use parenthesis.
To write the set of numbers, you need to list the smallest number in the set followed by the largest number in the set. An interval is always stated with two numbers, from the smallest in the set to the largest in the set. The numbers are always separated by a comma.
Examples:
1) All numbers from 6 to 10, including 6 and 10.
Algebra: 6 <= x <= 10
Interval: [6, 10]
Notice brackets since both 6 and 10 are included in this interval.
2) All number from 5 to 20, including 5 but not including 20.
Algebra 5 <= x < 20
Interval: [5, 20)
Bracket with 5 means include 5. Parenthesis with 20 means 20 is not included.
3) All numbers greater than or equal to 7.
Algebra: x >= 7
Interval: [7, ∞)
The 7 has a bracket because it is included. Infinity always has parenthesis.
With the infinity symbol, always use parenthesis, not square bracket.
4) All numbers less than -5.
Algebra: x < - 5
Interval: (-∞, 5)
Now for your problems.
10.
This is a line. Both the domain and range all all real numbers.
That means the interval is from negative infinity to positive infinity.
(-∞, ∞)
Both the domain and range are that same interval, all real numbers, from negative infinity to positive infinity.
13.
The domain is all real numbers as you can see the x-coordinates extend left forever and right forever. The domain is the same interval as the domain and range of problem 10.
The range is zero and all positive numbers.
You can think of it a all values of y such that y is greater than or equal to zero. Notice that zero is included in the interval.
[0, ∞)
Since zero is included, we use a left bracket, not left parenthesis.
With infinity, we alyways use parentheses, not brackets.
Answer:
6.
Step-by-step explanation:
1) OA=d/2=20/2=10;
2) AB=AC/2=16/2=8;
