Answer:
The nearest option is -3 (negative 3)
So, Option B is correct.
Step-by-step explanation:
We need to solve the inequality 
Solving:
Step 1: Switching sides of inequality and reversing the inequality
Step 2: Adding 4 on both sides
Step 3: Dividing both sides by -3 and reversing the inequality
The nearest option is -3 (negative 3)
So, Option B is correct.
Trigonometry can be used to determine the height of a cell phone tower by using SOH CAH TOA or the Pythagorean theorem. If you look at it as a right triangle you can figure out how tall the tower is. If an angle is given (not a 90°angle) and the value of a side you can figure out all of the sides on the theoretical right triangle. Including the height of the tower.
1 )
1st and 2nd equation (multiply 1st by -2 ):
-2x - 10 y + 8 z = 20
2 x - y + 5 z = -9
---------------------------
- 11 y + 13 z = 11 / * ( -20 )
1st and 3rd:
- 2 x - 10 y + 8 z = 20
2 x - 10 y - 5 z = 0
-----------------------------
- 20 x + 3 z = 20 / * 11
----------------------------------
220 y - 260 z = -220
- 220 y + 33 z = 220
------------------------------
z = 0, y = -1, x = - 5
2 )
2 x - y + 5 = -4
- 2 x + 3 y - 5 = - 10
Substitution: y = 2 x + 9
- 2 x + 3(2 x + 9 ) = -5
4 x = - 32, x = -8, y = -7, z = 5
3 )
x + y + z = 11
1.5 x+3 y +1.5 z = 21
x = 2 y
------------------------
3 y + z = 11 / * (-2)
6 y + 1.5 z = 21
------------------------
- 6 y - 2 z = -22
6 y + 1.5 z = 21
------------------------
-0.5 z = -1, z = 2, y = 3, z = 6
Answer: the store used 6 pounds of peanuts, 3 pounds of almonds and 2 pounds of raisins.
Answer:
A. √25
General Formulas and Concepts:
<u>Math</u>
- Rational Numbers - numbers that can be written as integers, terminating decimals, or fractions
- Irrational Numbers - numbers that have non-terminating decimals i.e infinite decimals and cannot be written into a fraction
Step-by-step explanation:
<u>Step 1: Define</u>
A. √25
B. √123
C. √20
D. π
<u>Step 2: Identify</u>
A. √25 = 5; Rational
B. √123 ≈ 11.0905...; Irrational
C. √20 = 2√5 ≈ 4.47214...; Irrational
D. π ≈ 3.1415926535897932384626433832795...; Irrational
Therefore, our answer choice is A.
1/2 probability of 1 flip
1/2 x 1/2 x 1/2 x 1/2 = 1/16 probability
