Tim went 8 miles east and 15 miles north. Jan went 5 miles west and 12 miles north. How far apart are they?

Answers

Answer 1

Answer:

30miles

Step-by-step explanation:

As you can see in the graph, the distance between tim and jan is creating 2 right triangles

You can solve this using pythagoras theorem,

Triangle (1) :

[tex] x^{2} = {5}^{2} + {12}^{2} \\ {x} = \sqrt{{5}^{2} + {12}^{2} } \\ = \sqrt{169 } \\ = 13[/tex]

X (1) = 13 miles

Triangle (2):

[tex] {x}^{2} = {15}^{2} + {8}^{2} \\ x = \sqrt{ {8}^{2} + {15}^{2} } \\ = \sqrt{289} \\ = 17 [/tex]

X(2) = 17 miles

Now, the distance = x(1) + x(2)

= 13 + 17

=30 miles

Therefore, Tim and Jan are 30 miles apart

Tim Went 8 Miles East And 15 Miles North. Jan Went 5 Miles West And 12 Miles North. How Far Apart Are

Related Questions

Movie showings: At the 24/7 Classic movieplex, Gone with
Ahe wind shows every 120 minutes, Casablanca shows
every 140 minutes, and The Godfather shows e
every 90.
minctes. If all three movies have Just begun, in how
many minutes will they again all begin at the same time?

Answers

On solving the provided question, by LCM after 2520 minutes, all 3 movies will begin at the same time.

What is the L.C.M. of number?

The number that is the smallest of two or more natural numbers' common multiples is known as the Lowest Common Multiple (LCM) in mathematics.

IF we look from mathematical point  of view, the question is just asking what is the smallest numbers that is divisible by 120, 140 and 90, which is the L.C.M of these 3 number.

For instance, 12 is the least frequent multiple of 4 and 6. As a result, 12 is the lowest common multiple such that its elements are 4 and 6.

If we look at what the question ask, all the movies will begin at the same time if all the multiples of 120, 140 and 90 have a number in common and should be smallest.

Hence, after solving for L.C.M., we get 2520 as the L.C.M.

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i need help pls i have no clue what to do?

Answers

Answer:

Step-by-step explanation:

Ivy is incorrect. An ellipse would also fit her definition(since an ellipse has no corners and a shape that is round and closed)

Ethan is correct. A circle is a set of all points some fixed distance away from some fixed point.

Ebuka is incorrect. A half circle will also fit her definition.

In Nepal, some students paddle a kayak to get to school. Suppose it takes one student 1/4 hour to paddle 1/2 mile How far would the student paddle in `t` hours at this speed?
what is t

Answers

The distance that the student can travel in "t" hours if the speed is constant is:

distance = (2 mi/h)*t

How far would the student paddle in `t` hours at this speed?

Here we need to remember the relation between time, distance, and speed:

distance = time*speed.

Solving for speed, we will get:

Speed = distance/time

Here, we know that the student can travel 1/2 of a mile in 1/4 of an hour, then we have:

distance = 1/2 of a miletime = 1/4 of an hour.

With that, we can find the speed:

speed = (1/2 of a mile)/(1/4 of an hour) = 2 miles per hour.

Then the distance that the student can paddle in "t" hours is written as:

distance = (2 mi/h)*t

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Your grandmother tells you a story about a genie that offers two options for rewards.
● Option 1: $1,500,000
● Option 2: A magical $1 coin that triples every day. The coin turns into three coins on the first day. The three coins turn into nine coins on the second day. The nine coins triple to 27 coins on the third day. This doubling will continue for 28 days.

Write an equation that shows the number of coins n that you get when you choose option 2 after d days.
Key: d is the variable

Answers

The expression for the magical coin for d days will be [tex]C = (3)^d[/tex].

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that A magical $1 coin that triples every day. The coin turns into three coins on the first day. The three coins turn into nine coins on the second day. The nine coins tripled to 27 coins on the third day. This doubling will continue for 28 days.

The equation can be written as,

[tex]C = (3)^d[/tex]

At d = 28, the value of the coin will be,

C = (3)²⁸

C = $2.28 x 10¹³

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PLEASE HELP RADIUS I THINKEASTY!!

Answers

The approximate distance around the circular field is 172.7 feet.

How to find the distance around a circle?

A diagram of a roundabout is being designed to improve driver safety on a busy road.  The radius of the circular field planned for landscaping is 27.5 feet.

Therefore, the approximate distance around the outside of the circle can be calculated as follows:

The distance around the circle is the circumference of the circle.

Hence,

circumference of a circle = 2πr

where

r = radius

Therefore,

distance around the circle = 2 × 3.14 × 27.5

distance around the circle = 172.7 feet

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The scatterplot shows the relationship between the number of yards allowed by teams in the National Football League and the number of wins for that team in a recent season, along with the least-squares regression line. Computer output is also provided.

1 . State the equation of the least-squares regression line. Define any variables you use.

Answers

Answer:

16.84

Step-by-step explanation:

If f(x)=5x-1 and g(x) =2x^2+1 what is the value of (fxg)(-3)?

Answers

The value of (fxg)(-3) if f(x)=5x-1 and g(x) =2x^2+1 will be 94.

What is a function?

A function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. Let A & B be any two non-empty sets; mapping from A to B will be a function only when every element in set A has one end, only one image in set B. It is a relation “f” in which each element of set “A” is mapped with only one element belonging to set “B”. Also in a function, there can’t be two pairs with the same first element.

f(x)=5x-1

g(x) =2x^2+1

fxg = 5(2x^2+1) - 1

fxg = 10x^2 + 5 - 1

fxg = 10x^2 + 4

fxg(-3) = 10(-3)^2 + 4

fxg(-3) = 10(9) + 4

fxg(-3) = 90 + 4

fxg(-3) = 94

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Omar is going to invest in an account paying an interest rate of 6% compounded monthly. How much would Omar need to invest, to the nearest dollar, for the value of the account to reach $32,400 in 20 years?

Answers

Omar needs to invest $9,788, to the nearest dollar, for the value of the account to reach $32,400 in 20 years

What is compound interest rate?

Compound interest is computed as interest on the principle of an account plus any accrued interest.

Compound interest can be calculated using the following formula:

x = P (1+r/n[tex])^{nt}[/tex]

,where x = compound interest

P = principal (the initial deposit or loan amount)

r = annual interest rate

n = the number of compounding periods per unit of time

t = the number of time units the money is invested or borrowed for

Given:

Omar is going to invest in an account paying an interest rate of 6% compounded monthly.

A =  $32,400 in 20 years

First, convert R as a percent to r as a decimal

r = R/100

r = 6/100

r = 0.06 per year,

Then, solve the equation for P

P = A / (1 + r/n[tex])^{nt}[/tex]

P = 32,400.00 / (1 + 0.06/12[tex])^{(12)(20)}[/tex]

P = 32,400.00 / (1 + 0.005[tex])^{240}[/tex]

P = $9,787.91

P = $9788  to the nearest dollar.

Therefore, the investing amount is $9,788.

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sketch a contour map of the function. f(x, y) = x2 + 9y2

Answers

A contour map/ plot is a way of representing a function with a two-dimensional input and a one-dimensional output.

Contours are obtained by intersecting the surface with the horizontal plane using the equation z = c. So the contour equation at height c is f(x,y) = c.

There are three types of contour lines displayed on the map:

Intermediate, Index, Supplement. The index line is the thickest contour line, and the points along the line are usually function numbered. Contours do not branch or split. Page 5 Steep slopes are represented by dense contour lines. Contour lines never intersect, but they can touch.

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Kevin has six and one fourth feet of wood. he is making birdhouses and trimming the door of each house in wood. if he needs one half foot for each birdhouse, how many birdhouses can he make with the wood he has??​

Answers

When he has six and one-fourth feet of wood and one-half foot is needed for each birdhouse, he can create 12 birdhouses out of it.

what is unitary method ?

Simply put, the unit technique is used to extract a single unit value from a multiple that is supplied. For example, 40 pens would cost 400 rupees, which is equal to the cost of one pen. This procedure could follow a regular procedure. a single nation. anything has a distinct identity. Its adjoint and reciprocal are equal in terms of mathematics, algebra, linear algebra, mathematical analysis, or mathematics of matrices or operators.

given

Kevin has six and one fourth feet of wood = 6 + 1/4 = 25/4

one half foot for each birdhouse = 1/2

so  number of birdhouses = 25/4 / 1/2 = 25/2

When he has six and one-fourth feet of wood and one-half foot is needed for each birdhouse, he can create 12 birdhouses out of it.

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Can anyone that’s good in math do this problem for me

Use the number line​ below, where RS=8y+4​, ST=2y+4​, and RT=58.
a. What is the value of​ y?
b. Find RS and ST.

Answers

The value of y is 58 and RS is 55.25 and ST is 17.5.

What is Equation?

Equation is an expression that consists of variables, constants, and operators, and expresses a relationship between them. It is a mathematical statement that two expressions are equal. Equations can be used to solve a wide variety of problems in mathematics, science, engineering, and other fields. Examples of equations include the Pythagorean Theorem, the equation of a circle, and the equation of a line. Equations can be written in a variety of forms, such as symbolic, graphical, and numerical.

The value of y can be found by solving the equation 8y+4=58. By subtracting 4 from both sides, we get 8y=54.

Dividing both sides by 8, we get y=6.75.

Therefore, RS=8y+4=8(6.75)+4=55.25 and

ST=2y+4=2(6.75)+4=17.5.

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Solve the following problem using the substitution method. Please make sure to show all of your work. Please and thank you!

7x + 6y = -9
y = -2x - 1

Answers

Answer:

x=3/5, y=-11/5. (3/5, -11/5).

Step-by-step explanation:

7x+6y=-9

y=-2x-1

------------

7x+6(-2x-1)=-9

7x-12x-6=-9

-5x-6=-9

-5x=-9+6

-5x=-3

x=-3/-5=3/5

y=-2(3/5)-1=-6/5-1=-6/5-5/5=-11/5

Which of the following are irrational numbers?



Choose the two correct answers.

Responses

100−−−√ 100 ⁢ ,

28−−√ 28 ⁢ ,

11−−√ 11 ⁢ ,

2.78¯¯¯¯

Answers

Answer:

11 and 28

Step-by-step explanation:

ok is a unatural and is the probability of the worst role in all of the curriculum in this field will

Answer:

11 and 28 are the numbers your looking for

Step-by-step explanation:

had a problem like this on a test

Two functions are shown below. Which function has a greater rate of change

Answers

Answer: Function B

Step-by-step explanation: Function A's equation would be y = x + 3 and although they have a greater y-intercept (starting point on x) the rate of change is less than Function B.

Which number sentence is true?
A. 12 < |-12|
B. |-12| < |-48|
C. |-48| < |48|
D. |12| > |-48|

Answers

B.) is correct

Reasoning

|-12|<|-48|

12<48, which is a true statement

Please help me!!! ASAP

Answers

Answer:

Step-by-step explanation:

Answer is 26.   Plug in each of the numbers. (8x4)-6

Let V be the set of all positive real numbers. Define + by U+V = UV-1 and . by C.V = V. Is V a vector space? Explain?

Answers

No, V is not a vector space with the operations defined in this way. Because the operations defined in this question do not satisfy the properties required for V to be a vector space.

A vector space is a collection of objects (vectors) that can be added together and multiplied ("scaled") by numbers, called scalars. These operations must satisfy certain properties to be considered a vector space.

For example, one of the properties is the associativity of vector addition, which means that (u + v) + w = u + (v + w) for any vectors u, v, and w in V. However, with the given definition of +, we have (U + V) + W = (UV-1) + W = U(VW-1) which is not equal to U + (V + W) = U(VW-1)

Another property is the distributivity of scalar multiplication over vector addition, which means that c(u + v) = cu + cv for any scalar c and any vectors u and v in V. But with the given definition of ., we have C(U+V) = C(UV-1) which is not equal to C.U + C.V = CUV-1

Furthermore, with the definition given the additive identity and the existence of additive inverse are not guaranteed.

Therefore, V is not a vector space with the operations defined in this way.

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Which of the following shows the Commutative Property of Multiplication?

I NEED HELP PLEASE ASAP I HAVE LIKE $ MINUETS HURRY PLS!

Answers

The commutative property is given by a×b=b×a

What is the commutative property?

The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer. The property holds for Addition and Multiplication, but not for subtraction and division.

Given here: The law simply states that with addition and multiplication of numbers, you can change the order of the numbers in the problem and it will not affect the answer. Let the two numbers be a and b

Then we get a×b=b×a

Hence, The commutative property is given by a×b=b×a

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1. What would be the next number in the pattern? (1 point)
1
1 1 1
324
108 36 12
O
OO
55|41|w|.
01
27

Answers

The next number in the given pattern is 1/4

What is Geometric Progression ?

Geometric progression can be defined as the sequence of numbers in which the common ratio between any consecutive numbers is same.

Given sequence ,

1/324  , 1/108 , 1/36 , 1/12

Lets check whether they are in Geometric sequence or not.

So,

r = 1/108  /  1/324

r = 324/108

r = 3

And

r = 1/36  /  1/108

r = 108/36

r = 3

So, The common ratios are same , it is in Geometric sequence

So , the next term could be

= 1/12  *  3

= 1/4

So, the next term could be 1/4

Hence, The next number in the given pattern is 1/4

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(6x ^ 3 - x ^ 2 - 14x + 5):(2x - 1)​

Answers

The final result of  algebra is: (6x^3 - x^2 - 14x + 5) : (2x - 1) = 3x^2 - x - 7 + 5/(2x-1)This is the simplified form of the given expression.

What is simplification?

Simplification is the process of making an expression or equation simpler and easier to understand or work with. In mathematics, simplification often involves combining like terms, removing unnecessary operations, or reducing the number of terms in an expression. The goal of simplification is to obtain an equivalent expression that is clearer, more manageable, and easier to interpret.

Here ,

is the step by step process:

(6x ^ 3 - x ^ 2 - 14x + 5):(2x - 1)

Step 1: Divide 6x^3 by 2x and write the quotient 3x^2.

Step 2: Multiply the denominator (2x - 1) by the quotient (3x^2)

Step 3: Subtract the result from the numerator and bring down the next term of the numerator ( x^2)

Step 4: Repeat the process by dividing the x^2 by 2x and write the quotient -x.

Step 5: Multiply the denominator (2x - 1) by the quotient (-x)

Step 6: Subtract the result from the numerator and bring down the next term of the numerator ( -14x)

Step 7: Repeat the process by dividing the -14x by 2x and write the quotient -7

Step 8: Multiply the denominator (2x - 1) by the quotient (-7)

Step 9: Subtract the result from the numerator and bring down the next term of the numerator (5)

Step 10: We can see that the degree of the remainder is less than the degree of the denominator so we can write the remainder as 5/(2x-1)

So the final result is:(6x^3 - x^2 - 14x + 5) : (2x - 1) = 3x^2 - x - 7 + 5/(2x-1)

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USE PATTERNS AND STRUCTURE
A jewelry Desinger Buys a new color of gem to add to his collection. The number of gems he buys is divisible by 2. Which color of gem did he buy?



GLASS GEM COLLECTION
red sapphire. 48
Blue sapphire. 55
Pink sapphire 65
Golden Sapphire 37

Answers

he bought the red gems

explanation: 48 is the only number divisible by 2 here.

HELLPPP
In*Delta*DEF, e = 1.8inches; m angle F=104^ and m angle D=52^ Find the length of f, to the nearest 10th of an inch.

Answers

The length of the triangle DEF f is 4.3 units.

How to find the side of a triangle?

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

The sine law can be used to find the side of a triangle. Therefore, let's find the side f of the triangle using sine law.

Therefore,

a / sine A = b / sin B = c / sin C

Hence,

e / sin E = f / sin F

E = 180 - 104 - 52

E = 24 degrees

Therefore,

1.8 / sin 24 = f / sin 104

cross multiply

1.8 sin 104 = f sin 24

divide both sides by sin 24

f = 1.8 sin 104  / sin24

f = 1.8 × 0.97029572627 / 0.40673664307

f = 1.7465323073 / 0.40673664307

f = 4.29277407617

f = 4.3 units

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Help me please!!!!!!

Answers

Answer:

a

Step-by-step explanation:

What is the name for a line that intersects two or more lines?

Answers

Answer:

 line that intersects two or more lines at a distinct points is known as transversal line.

The tallest tree in the world is in redwood California as of April 2019 if you’re standing on the trail 220 feet from the bottom of the tree you have to look up it is 60° angle to see the top how tall is the tree

Answers

Answer:

220√3

Step-by-step explanation:

220 x tan60°

220√3

Which is the volume of the cone shown below
A 2016
B 1344
C 504
D 4032

Answers

The volume of a cone is given by the formula V = (1/3) * π * r^2 * h Where the volume of this cone is approximately A:2016.

What is volume of cone?

The volume of a cone is a measure of the amount of space inside the cone.

It is calculated using the formula: V = (1/3) * π * r^2 * h, where V is the volume, r is the radius of the base of the cone, h is the height of the cone, and π is the mathematical constant pi (approximately equal to 3.14).

The volume of the cone is the amount of space inside the cone, and is measured in cubic units (such as cubic centimeters, cubic meters, etc.).

From the diagram, we can see that the radius of the base of the cone is 4 and the height is 8. Plugging these values into the formula, we get:

V = (1/3) * π * 4^2 * 8

V = (1/3) * π * 16 * 8

V = (1/3) * 64π

The volume of this cone is approximately A:2016.

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How many ounces are 12 pounds? (There are `16 ounces in one pound) A. 160oz B. 176oz C. 192oz

Answers

The answer is C. 192.

Answer:  192 oz

Step-by-step explanation:

thats the answer

A man walks 16 miles east and then walks 12 miles due north. How far is the tired man from his starting point?

Answers

Pythag, 16^2+12^2=c^2
256+144=c^2
400=c^2
20=c
He is 20 miles away from his starting point

TOP Electronics is a small business with five employees. The mean (average) weekly salary for the five
employees is $360. If the weekly salaries of four of the employees are $340, $340, $345, and $425, what is
the salary of the fifth employee?

Answers

The answer is  $350

How to find the Median?

By ranking the wages of a group of employees in descending order, you may determine the median base salary by finding the wage that is in the Middle of the distribution . 50 percent of earnings fall below the median, while 50 percent of salaries rise above the median.

Explanation

The average of a set of numbers is known as the mean. If there are five salaries involved and the mean is $360, the total can be calculated by

Average = Total / number

Total = (Average)(Number)

Total = $360 * 5 = $1800

Four of the wages are spoken for, so we add them up and take $1800 out of the equation to get our result.

so $340 + $340 + $345 + $425 = $1450

and $1800 - $1450 = $350

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The population of a city was 34,000 at the beginning of 1937. Its
population steadily increased by 6.8% every year from 1937 to 1997.
Which of these is the closest to the population of the city at the end of
1970?

Answers

Answer:

298078.228074

Step-by-step explanation:

we add 6.8% of the population to the city each year

city population in year x + 1 = city population in year x + 6.8% of city population in year x = city population in year x + 0.068 * city population in year x = 1 * city population in year x + 0.068 * city population in year x = 1.068 * city population in year x

we multiply the population by 1.068 each year to get the next year's population

thus, over a period of y years, we would multiply the population by 1.068 y times.

start = 34000 in 1937

difference in years = 1970 - 1937 = 33

final amount = 34000 * 1.068 33 times = 34000 * 1.068^33 = 298078.228074

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