<h3>
Answer: 15 years old</h3>
=============================================
Explanation:
m = Maggie's age (some positive whole number)
4m = four times her age
4m-7 = seven years younger than 4m = brother's age
Add up her age (m) and her brother's age (4m-7) to get a sum of 68.
m+(4m-7) = 68
5m-7 = 68
5m = 68+7
5m = 75
m = 75/5
m = 15
Maggie is currently 15 years old.
Her brother is currently 4m-7 = 4*15-7 = 60-7 = 53 years old.
Their current year ages add to: 15+53 = 68 which confirms the answer.
Answer:
Step-by-step explanation:
<u>Use the formula:</u>
- degrees/360° = L/circumference
- or
- radians/π = L/circumference
<u>As per given:</u>
l = 12 feet, r = 10 feet
- degrees = 360°*12/(2*3.14*10) = 68.78°
- radians = π rad *12/(2π*10) = 0.6 rad
<h3>
Answer: Choice B) real and integer</h3>
Explanation:
The set of integers is {..., -3, -2, -1, 0, 1, 2, 3, ...} basically its the set of positive and negative whole numbers, including 0 as well. The set of whole numbers is {0, 1, 2, 3, 4, ...} so any positive number that does not a fractional or decimal part. The value 0 is included in the set of whole numbers. The natural numbers is {1, 2, 3, 4, ...} so it is the set of whole numbers but we kicked out 0 from this set. The set of natural numbers is also called the set of counting numbers.
If we take any two integers and divide them then you'll get a rational number. You cannot have zero in the denominator, but you can have any other integer. For example, 2 and 3 divide to get the fraction 2/3 which is a rational number. Numbers that we cannot express as a fraction of two integers are said to be irrational. An example of this is pi = 3.14 which is irrational. We cannot write pi as a ratio of two integers. One approximation is pi = 22/7, but this doesn't represent pi exactly. Any integer itself is rational. Something like -13 can be written as -13/1, so we cannot say -13 is irrational. That rules out choice A. Choice C is ruled out because negative numbers aren't natural numbers. The same can be said about -13 not being part of the whole number set {0, 1, 2, 3, 4, ...} so choice D is also false.
Answer:
x= plus or minus square root of 19 -4
Step-by-step explanation:
x^2+8x ___=3
take half of your b term (8) and then multiply by two and add or subtract it to both sides
x^2+8x+16=3+16
then combine like terms
x^2+8x+16=19
then factor your quadratic equation
(x+4)^2=19
now solve for x
take the square root of (x+4)^2 to get rid of the ^2
you then also have to square the 19 because what you do to one side you have to do to the other
(x+4)= square root of 19
subtract 4 from both sides
x= plus or minus square root of 19 -4
