Answer:
Solution : 3.6 miles
Step-by-step explanation:
The first step in solving this problem is to convert 15' to degrees --- (1) . 15' is represented as 15 minutes, so to convert to degrees we have 15 / 60 = 0.25°. Adding 20 + 15' we should get 20 + 0.25 = 20.25 (degrees).
Now remember that on the right side we have the football field, 62° 30'. Let's convert that 30' into degrees --- (2). 30 / 60 = 0.5, and 62 + 0.5 = 62.5.
Using both this information we can calculate the angle from the balloon to the horizontal. That would be 180 - 20.25 - 62.5 = 97.25°. Therefore the distance from the balloon to the soccer fields would be as follows,
distance / sin(62.5) = 4 / sin(97.25)
Let distance = x ...
x / sin(62.5) = 4 / sin(97.25),
x / 0.88701083317 = 4 / 0.99200494968,
x * 0.99200494968 = 4 * 0.88701083317,
x * 0.99200494968 = 3.548,
x = ( About ) 3.5766 miles
Given the options the distance from the balloon to the soccer fields would be 3.6 miles.
In the text box below, write a brief summary about the similarities and differences between Inequality Notation, Set-Builder Notation, and Interval Notation.
Answer and Step-by-step explanation:
Differences:
Interval notation is a set of real numbers that contains all real numbers lying between any two numbers of the set. For example set of all real numbers can be described in interval notation as 0 ≤ x ≤1. Interval notation press the solution set to equality, and it is important to express solution sets in calculus. Set builder notation is a mathematical notation for describing a set by its elements, and their member satisfies' properties.It describes the elements of a set instead of listing the element. For example the set {1, 2, 3, 4, 5, 6, 7, 8, 9} is written in builder notation will be {x/x is a counting number less than 10}.Inequality notation is a relation that makes a non equal comparison between two numbers. Set are also defined by using some inequalities like >, <, ≤, ≥. These are called inequality notations.
Similarities:
The purpose of inequality notation, set builder notation, and interval notation is the same because these notations used to describe a set and the characteristics of each element of a set. When a set is representing in set builder notation, it defines characteristics of elements. If the set is represented in interval notation, we need to know the upper and lower bound set. In inequality notation, the set is described by the graph on a number line.
Suppose the average yearly salary of an individual whose final degree is master's is $40 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $110 thousand. Find the average yearly salary of an individual with each of these final degrees.
Answer:
x=50000 dollars ( the average salary of bachelor degree)the average salary of Masters degree = 2x-400002(50000)-40000=60000 dollarsstep by step explanation :let x be the salary of individual with bachelor degree
Then the average salary of individual with Masters degree is:
(2x-40000)
the combined of two salaries is 110000:
x+(2x-40000)=110000
3x-40000=110000
3x=110000+40000
x=150000/3
x=50000 dollars ( the average salary of bachelor degree)the average salary of Masters degree = 2x-400002(50000)-40000=60000 dollarsAt a sale, coats were sold for $10 each. If the coats originally cost $20 each, what percentage of its original price was a coat sold for?
Answer: 50%
Step-by-step explanation:
10/20×100=50%
Answer:
50
Step-by-step explanation:
Please help me if you can..
Micha washed a car in 20 minutes. At this rate, how many hours would it take to wash 9 cars?
Answer:
3 hours
Step-by-step explanation:
he washed one car in 20 minutes so 9 cars will be 20 x 9=180minutes which is 3 hours
A cart starting from rest travels a distance of 12.7 meters in 3.6 seconds. The average speed of the cart is
Select one:
a. 3.5 m/s
b. 0.3 m/s
C. 45.7 m/s
d. 16.3 m/s
Answer:
A
Step-by-step explanation:
12.7 meters divided by 3.6 seconds is 3.527 round it up and it stays 3.5 m/s
The average speed of the cart is: 3.5 m/s
The correct option is (A).
What is Average speed?The average speed is the total distance traveled by the object in a particular time interval.
Given:
distance = 12.7m, time= 3.6 seconds
Average speed will be,
= Distance/time
=12.7/3.6
=3.522 m/s
Hence, the average speed is 3.522 m/s.
Learn more about average speed here:
https://brainly.com/question/12322912
#SPJ2
3. The first four terms of a sequence are:
T2 = 12+ 22
T3 = 12 + 22 + 32
T4 = 12 + 22 + 32 +42
T1 = 12
The n" term is given by Tn=n(n + 1)(2n + 1).
Work out the value of T23.
Step-by-step explanation:
tn=n(n+1)(2n+1)
t23=23(23+1)(2*23+1)
t23=36754
Answer:
The 23rd term is 2806.
Step-by-step explanation:
The other answerer has used the formula but i'm answering from the assumption that T1 to T4 are correct.
Each term is the sum of n terms of an arithmetic series with first term a1 = 12 and common difference d = 10.
Sum of n terms = (n/2)[2a1 + d(n - 1)]
So the sum of 23 terms =
= 23/2 (2*12 + 10 * 22)
= 11.5 * 244
= 2806.
what comes before one in the natural numbers
Answer:
Actually nothing comes before 1 in the natural numbers. 1 is first natural number.
Step-by-step explanation:
well 0 comes before 1 but it's not nature number.
hope it helped you:)
what is the mean of 10.4, 10.3, 11.7, 11.1, 8.0, 4.4, 2.6, 1.8, 2.5, 4.4, 7.3, 9.5
Answer:
This is rational number but it is non -torminating
Melissa and Rachel like to make funny hats. Melissa has made 202020 zebra-printed hats, and Rachel has made hhh striped hats. Together they have made a total of 424242 hats. Write an equation to describe this situation.
Answer:
42= 20 +hStep-by-step explanation:
Given from the problem statement
Melissa has made 20 zebra-printed hats
and Rachel has made h amount of striped hats
and also the total amounts of hats made by both of them is 42 hats
We can write a simple equation for the scenario as
[tex]42= 20 +h[/tex]
We can solve the equation to know the amount of hats made by Rachel
[tex]42= 20+h\\\\h= 42-20\\\\h= 22[/tex]
Hence Rachel has made 22 hats
Pete earns $8.50 per hour plus tips. On Tuesday, he received $16 in tips. How many hours did Pete work if he earned a total of $50 on
Tuesday?
Answer:
4 hours .
Step-by-step explanation:
4x8.50=34
34 + 16=50
Answer:
He worked 4 hours i think
Step-by-step explanation:
Take 50 and subtract his tips ($16)
then divide your answer by how much he makes an hour ($8.50)
Which algebraic expression represents this word description?
The quotient of nine and the sum of a number and one
Answer: [tex]9\div (x+1)[/tex]
Step-by-step explanation:
In algebra, Quotient of a and b is expressed as [tex]a\div b[/tex] .
Given phrase: The quotient of nine and the sum of a number and one
Let the number be x.
Then, the statement become: The quotient of nine and the sum of x and one.
i.e. [tex]9\div (x+1)[/tex] [since sum of x and 1 = x+1]
Hence, the algebraic expression represents the given word description is [tex]9\div (x+1)[/tex] .
Answer:
9 divided (x+1)
Step-by-step explanation:
apeex
Mary's bank account was overdrawn by
$21. If she deposits $60, find the new
balance.
Answer:
39
Step-by-step explanation:
If her bank account is overdrawn, that means that it has a negative balance. This means that without the $60, she has -$21 and once she deposits the $60, twenty one of the 60 will be subtracted
Answer: The answer is 39
Step-by-step explanation: -21+60=49
hope you like it :)
The diagonal of a square is 4 cm. Find its ar
ea.
Answer:
Area of square= d²/2
= 4²/2
= 16/2
= 8cm²
Step-by-step explanation:
A=
[tex]a {?}^{2} [/tex]
d=
[tex] \sqrt{2a} [/tex]
we can find A.USE THIS FORMULA
A =1/2 d squared
so 1/2×4 squared=8
8 is the answer
A bag contains 6 red marbles, 2 green, and 4 blue marbles. You randomly pick a marble and then pick a second marble, returning the marbles to.the bag each time. What is the probability of pulling a blue marble first and then a red marble.second?
Answer:
Probability of pulling a blue marble is 1/3 about 33% chance
Probability of pulling a red marble is 1/2 = 50% chance
Step-by-step explanation:
Total marbles = 6+2+4 = 12
4 of those 12 are blue
4/12=1/3 when reduced
________________________
Total marbles are still = 12
6 of the 12 are red
6/12=1/2 when reduced
Hope this helps! :)
i have to find the sides of the angles on this photo
Step-by-step explanation:
may be those can be QT and QN
Another way to write g(h(x))
Answer:
(gOh)(x) on edg 2020
Step-by-step explanation:
The graph below shows y = b(x). image c138745352264c59babfe805822b4e5e Which statement BEST describes the graph? A The graph shows a function because it has an x-intercept and a y-intercept. B The graph does not show a function because the range of the graph is not all real numbers. C The graph shows a function because each element of the domain is assigned to exactly one element of the range. D The graph does not show a function because many elements of the domain are assigned to the same element of the range.
Answer:
C The graph shows a function because each element of the domain is assigned to exactly one element of the range.
Step-by-step explanation:
A The graph shows a function because it has an x-intercept and a y-intercept.
- Incorrect as functions are not x- and y- intercept only
B The graph does not show a function because the range of the graph is not all real numbers.
- Incorrect as the range is all real numbers
C The graph shows a function because each element of the domain is assigned to exactly one element of the range.
- Correct, this is the definition of a function
D The graph does not show a function because many elements of the domain are assigned to the same element of the range.
- Incorrect as per previous statement
Help with brothers math homework?I can't help because I forgot how to do this
Answer:
See below.
Step-by-step explanation:
The range of a graph is the span of y-coordinates the graph covers.
From the graph, we can see that the graph covers all y-values between the values of y=-8 and y=7.
Therefore, the range is all of the numbers in between them including them.
In interval notation, this is:
[tex][-8,7][/tex]
We use brackets instead of parentheses because we include the numbers.
And in set notation, this is:
[tex]\{y|-8\leq y\leq 7\}[/tex]
Answer:
Hey there!
The range is the possible y values.
Thus, we see here that the range is all numbers from -8 to 7.
Let me know if this helps :)
calculate the perimeter of a semi circle whose radius is 21cm
Radius of semicircle r = 21 cm
Perimeter of semicircle
= pi*r + 2r
= (22/7)*21 + 2*21
= 22*3 + 42
= 66 + 42
= 108 cm
Three times a number is equal to the sum of half the number and 30. What is the number?
Answer:
12.
Step-by-step explanation:
3x = 0.5x + 30
2.5x = 30
x = 30 / 2.5
x = 12
solve for x 4(2x+9)=-44+8
Yesterday morning, the temperature was -11°F. The temperature increased 7°F by noon and then decreased 4°F by nightfall. What was the temperature at nightfall last night?
Answer:
1
Step-by-step explanation:
1
These are solving proportions btw! 20/8 = 4k/32
Answer:
k = 20Step-by-step explanation:
[tex] \frac{20}{8} = \frac{4k}{32} [/tex]To find k first of all cross multiply
We have
32k = 640
Divide both sides by 32
That's
[tex] \frac{32k}{32} = \frac{640}{32} [/tex]We have the final answer as
k = 20Hope this helps you
Click and drag like terms onto each other to simplify fully. 1+x^2-3+2y+7x^2+3+3y
Answer:
8x^2 + 5y + 1
Step-by-step explanation:
1 + x^2 - 3 + 2y + 7x^2 + 3 + 3y
group like terms
= x^2 + 7x^2 + 2y + 3y + 1 - 3 + 3
add similar items
= 8x^2 + 2y + 3y + 1 - 3 + 3
add similar items
= 8x^2 + 5y + 1 - 3 + 3
= 8x^2 + 5y + 1
Answer:
[tex]\Huge \boxed{8x^2 +5y+1}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex]1+x^2-3+2y+7x^2+3+3y[/tex]
Grouping like terms.
[tex]7x^2 +x^2+2y +3y +3+1 -3[/tex]
[tex](7x^2 +x^2)+(2y +3y) +(3+1 -3)[/tex]
Combining like terms.
[tex]8x^2 +5y+1[/tex]
[tex]\rule[225]{225}{2}[/tex]
What is the value of the expression below when y=8 and z=8? 10y-3z
Answer:
56
Step-by-step explanation:
We are given the expression:
10y-3z
and asked to find the value when y=8 and z=8. Therefore, we must substitute 8 in for both y and z.
10(8)-3(8)
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Addition and Subtraction.
Multiply 10 and 8.
(10*8) -3(8)
80-3(8)
Multiply 3 and 8.
80 - (3*8)
80- 24
Subtract 24 from 80.
(80-24)
56
The value of the expression 10y-3z when y=8 and z=8 is 56.
Help..................
Answer:
1) Highest
2) Decreasing / Descending
Step-by-step explanation:
In a standard polynomial , terms are ordered from highest degree to lowest degree.
A test has five questions. To pass the test, at least three of the questions must be answered correctly. question ----> Find the probability that Mark guesses 4 questions correctly.
Answer:
1/5
Step-by-step explanation:
Total Question no. 5
Three must be answer correctly so 3/5 to pass
and 2/5 to fail
So 1/5 because to pass the test he can answer it correctly only one time
$9.40 per hour times 22 hours round to the nearest cent
Answer:
The answer is 206.8. But you want me to round to the nearest cent so the real answer is $207.00
Step-by-step explanation:
ALG II NEED HELP QUICK! Will mark the brainliest answer