Kristen's school is due west of her house and due south of her friend Cooper's house. The
distance between the school and Cooper's house is 9 miles and the straight-line distance
between Kristen's house and Cooper's house is 10 miles. How far is Kristen's house from
school? If necessary, round to the nearest tenth.
miles

Answers

Answer 1

Answer:

Kristen's house is 4.4 miles away from her school

Step-by-step explanation:

Pythagora's Theorem

In any right triangle, the square of the measure of the hypotenuse is the sum of the squares of the legs. This can be expressed with the formula:

[tex]c^2=a^2+b^2[/tex]

Where

c = Hypotenuse or largest side

a,b = Legs or shorter sides

The situation described in the problem forms a right triangle shown in the image below.

Applying Pythagora's Theorem :

[tex]10^2=9^2+x^2[/tex]

Solving for x:

[tex]x^2=10^2-9^2[/tex]

[tex]x^2=100-81=19[/tex]

[tex]x=\sqrt{19}=4.4[/tex]

Kristen's house is 4.4 miles away from her school

Kristen's School Is Due West Of Her House And Due South Of Her Friend Cooper's House. Thedistance Between

Related Questions

my head is empty for now, i rly can't with online classes

so anyone wanna help me?

Answers

Answer:

The Y intercept is (0,7)

Step-by-step explanation:

If it is a y intercept, there will be a number in the y coordinate. For example, (x,y) if the point said (7,0) that would be the x intercept. Because it it (0,7) and in the y place that makes it a y intercept. I hope this helped :)

brainliest if its correct

Answers

the correct answer is c

what is the value or |-12.7| and |11.1/4| ?

Answers

Answer:

12.7, because the absolute value gets rid of the negative integer, and shows it true value which is positive 12.7.

Step-by-step explanation: Have a Happy Thursday :)

Tiana purchased a new dress at Kohl’s for $45.99. The sales tax in Maryland is 6%.
What was the total cost of Tiana’s dress

Answers

Answer:

Step-by-step explanation:

48.75

Two and a half hours later than 3:30 is
What is it??

Answers

Answer:

1 o'clock

Step-by-step explanation:

plz brainliest!

Answer:

6:00

Step-by-step explanation:

3:30+2:30=6:00

If that's what u mean


Select the correct answer.
You're given three angle measurements of 30°, 70°, and 80°.
How many triangles can you construct using these measurements?

A. 0
B. 1
C. 2
D. Infinitely many





Answers

The answer is C.2 that is the answer

Answer:

The answer is not 1 or 0

I think its D. infinitely many

Step-by-step explanation:

What is the circumference of a circle with radius 2.1 cm? Use > (inserts wavey = sign) 3.14.

Answers

Step-by-step explanation:

The formula for the circumference of a circle is 2*pi*radius

Circumference = 2(3.14)(2.1)

= 13.188cm

PLEASE HELP MEEEE!!!!!!!

Answers

Answer:

its a black picture...?

Step-by-step explanation:

help with what- theres no problem its black

Graph the following
y−2=2/3(x+4)

Answers

in the future you can go to desmos graphing calculator

Solve for the variable. You may use the hangers to help you.

40 = 2f + 12
f
f
40
12

Answers

Answer:

i don't know what the hangers are for but the calculation is given below

Step-by-step explanation:

40 = 2f + 12

40 - 12 = 2f

28 = 2f

28/2 = f

14 = f

therefore f = 14

1. Gold is an element. What does an element of gold contain? (S8P1.a) DOK 5 point
1
one kind of compound
O a single type of atom
O a simple mixture of different atoms
O one mixed substance of two different metals

Answers

One single type of atom.

Giving 40 points

Solve each system by substitution

Answers

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Given}}} : [/tex]

-4x - y = 19 -------- Equation ( i ) x - 2y = -7 ----------- Equation ( ii )

[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]

Value of x & y

[tex] \underline {\underline{ \text{ Solution}}} : [/tex]

From equation ( i ) :

-4x - y = 19

-y = 19 + 4x

-y = - ( -19 - 4x )

y = -4x - 19 ------ Equation ( iii )

Substituting the value of y from equation ( iii ) in equation ( ii ) , we get :

[tex] \tt{x - 2y = - 7 }[/tex]

⇾ [tex] \tt{x - 2( - 4x - 19) = - 7}[/tex]

⇾ [tex] \tt{x + 8x + 38 = - 7}[/tex]

⇾ [tex] \tt{9x = - 7 - 38}[/tex]

⇾ [tex] \tt{9x = - 45}[/tex]

⇾ [tex] \tt{x = \frac{ - 45}{9}} [/tex]

⇾ [tex] \boxed{ \tt{x = - 5}}[/tex]

Substituting the value of x in equation ( i ) , we get :

⇾ [tex] \tt{ - 5 - 2y = - 7}[/tex]

⇾ [tex] \tt{ - 2y = - 7 + 5}[/tex]

⇾ [tex] \tt{ - 2y = - 2}[/tex]

⇾ [tex] \tt{y = \frac{ - 2}{ - 2}} [/tex]

⇾ [tex] \boxed{ \tt{y = 1}}[/tex]

The possible solution of the system is ordered pair ( x , y ) = ( -5 , 1 ) .

[tex] \red{ \boxed{ \boxed { \tt{Our \: final \: answer : \boxed{ \tt{( - 5 \:, 1 \: )}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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2. Solve the equation for x.
14 - x = 5x - 4

Answers

Answer:

x=3

Step-by-step explanation:

14-x=5x-4

Add the x from the left side to the right

14=6x-4

and the 4 to the left side

16=6x

6x=18

x=3

Answer:

x = 3

Step-by-step explanation:

If we substitute  x for 3 it will give u the following expression:

14 - 3 = 5 x 3 - 4

If we solve both these expressions they will both give us: 11

This will prove the equation correct

What is the gradient of the line that passes through the points (0,0) and (5,-10)

Answers

Answer:

[tex]\displaystyle m=-2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (0, 0)

Point (5, -10)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m. Slope and gradient is the same.

Substitute in points [SF]:                    [tex]\displaystyle m=\frac{-10-0}{5-0}[/tex][Fraction] Subtract:                             [tex]\displaystyle m=\frac{-10}{5}[/tex][Fraction] Divide:                                [tex]\displaystyle m=-2[/tex]

Answer:

Let "m" be the slope of the line passing through the point.

[tex]m = \frac{y_ 2 - y_1}{x_ 2 - x_1 } = \frac{( - 10 - 0)}{(5 - 0)} = \frac{ - 10}{5} = \boxed{- 2 }[/tex]

-2 is the gradient of the line that passes through the points (0,0) and (5,-10).

Nine randomly selected customers at a local fast-food restaurant ordered meals having the following calorie counts: 975,520, 1560
.872, 1029,534,362,954, and 1019. Let y denote the calorie content of a meal ordered at this restaurant. Find the following sum.

Answers

Answer: 7825 calories

Step-by-step explanation:

Feom the question, we are told that the meals have the following calories content meals having the following calorie counts: 975,520, 1560

.872, 1029,534,362,954, and 1019.

The sum of the calories will be:

= 975 + 520 +1560 + 872 + 1029 + 534 + 362 + 954 + 1019.

= 7825 calories

Solve this equation. Please show work.

log(4m-10)=1

Answers

Answer:

m=5

Step-by-step explanation:

1. Convert the logarithm into exponential form using the fact that [tex]log_{a}[/tex](x)=b is equal to x=[tex]a^{b}[/tex] so ... 4m-10=[tex]10^{1}[/tex]

2. Any expression raised to the power of 1 equals itself so ... 4m-10=10

3. Move the constant to the right-hand side and change its sign so ... 4m=10+10

4. Add the numbers so ... 4m=20

5. Divide both sides of the equation by 4 so ... m=5, m>[tex]\frac{5}{2}[/tex]

6. Check if the solution is in the defined range so ... m=5

PLEASE I WILL MARK BRAINLIEST
JUST TELL ME HOW TO SLOVE IT

Answers

Answer:

x=5

Step-by-step explanation:

So first we want to find x by itself, so we can subtract 4 from both sides:

x=5

That is your simple answer!

Step-by-step explanation:

[tex] \huge{ \sf{x + 4 = 9}}[/tex]

~ Move 4 to right hand side and change it's sign :

⟼ [tex] \huge{ \sf{x = 9 - 4}}[/tex]

~ Subtract 4 from 9

⟼ [tex] \huge{ \sf{x = 5}}[/tex]

[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \bold{ \text{5}}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ツ

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What is x ?
-2x + 7x - 62 = 83

Answers

Answer:

x = 29

Step-by-step explanation:

Yes the answer is 29

Pierre had $42 before he paid his club dues. Evaluate the expression 42 − d for d = 25 to find how much money Pierre had left after he spent $25 on dues

Answers

Answer:Pierre has $17 left

Step-by-step explanation:

Amount of money before dues = $42

according to the expression 42-d, d represents dues= $25

Amount left = Amount of money before dues - Amount of dues

                  = $42- $25

                  =$17

Pierre has $17 left after he spent $25 on dues.

Which number is between -0.49 and 0.01 on a number line?

Answers

I really don’t know but maybe this will help you now and later

Which statements are true? Select all that apply.​

Answers

9514 1404 393

Answer:

  A, B, D  

Step-by-step explanation:

The figure is symmetrical about the horizontal centerline, so triangles, angles, and segments above that line are congruent with corresponding segments below that line. Choices A, B, D are true statements.

__

There is nothing in the figure to indicate that ΔFGK is isosceles, so statement C cannot be considered to be true.


How long does it take for an investment to quadruple in value if it is invested at 11% compounded
continuously? Type the exact answer as your answer (no decimal approximations).

Answers

Let's assume we have $100 and an interest rate of 7%. For the $100 to quadruple it means that the future value would be $400. Thus, because we are talking about compounding daily we will set us the equation as follows:

100 * (1+1.07)x = 400

Then we will take 400 and divide it by 100 getting:

1.07X = 4

Now we have encountered a problem where we do not know exponent, so we will use logarithm to calculate such and transform our equation to: Log1.07(4)=X

Using our calculator we will find that it takes about 20.4895 days to quadruple the money invested under 7% interest rate compounded daily.

2nd: Using the same $100 but with the rate of 5.5% compounded continuously we will be using A=PERT formula

where:

P (principal) is equal to hypothetical $100

E (e) is a mathematical constant, which is approximately 2.718

R (rate) is the interest rate, in our case it is 5.5%

T (time) is the time required for money to grow

A (amount) is the final amount desired, which is 4 times larger of $100, thus $400

We have the following:

400 = 100 * e0.055t

400/100 = e0.055t

4 = e0.055t

Then we will apply natural log to both sides of the equations and get the following:

ln(4) = ln(e0.055t)

Since e is the base of ln(x) the equation simplifies to:

ln(4) = 0.055t

Using the calculator to find ln(4) we are getting:

1.38629 = 0.055t

Lastly find t

t = 1.38629/0.055

t = 25.20535202

Plug the answers back to the original equation to verify the answers.

1st part of the question answer: t = 20.4895

2nd part of the question answer: t = 25.20535202

I REALLY NEED HELP ON THIS!!! The graph below shows the amount of snowfall recorded in New York during that time. Write an equation to represent the relationship between amount of snow accumulated and time.

Answers

Answer:

Y=.5x

Step-by-step explanation:

For every hour you gain half an inch of snow so for every 2 hours you gain one inch of snow. Hope ths helps

7x (6 x t) and (7 x 6) x t​

Answers

If your question is which propperty is used in that opperation

Answer: The commutative property of multiplication

Step-by-step explanation: The comutative property of multiplication says that the order in which elements are multiplied the result is the same.

PLEASE HELP ME
Solve for X and Z

Answers

9514 1404 393

Answer:

x = 1z = 11

Step-by-step explanation:

If we assume that the segment marked (2x+1) is a midsegment, then it is half the length of the parallel base:

  2(2x+1) = 8x-2

  4x +2 = 8x -2 . . . . eliminate parentheses

  4 = 4x . . . . . . . . . . add 2-4x to both sides

  1 = x . . . . . . . divide by 4

__

The above assumption makes the two segments marked with z-expressions be the same length:

  3z = z +22

  2z = 22 . . . . . .  subtract z

  z = 11 . . . . . . . . . divide by 2

The values of X and Z are 1 and 11, respectively.

Please help, pic attached!

Answers

Answer:

(y − 9) (y − 2)

Step-by-step explanation:

Factor  y^2 − 11y + 18 using the AC method.

(y − 9) (y − 2)

The “AC” method or factoring by grouping is a technique used to factor trinomials. A trinomial is a mathematical expression that consists of three terms.


The purpose of inverse trig functions is to identify the ____ that yield the given ____.
A) trigonometry function, value
B) value, angles
C) trigonometry function, angle
D) angle, value

Answers

Answer:

A

Step-by-step explanation:

Ok so I am pretty sure it’s A that’s why I think so yeah

2.) Which is equivalent to 3 (а- 9)?
За - 9
OOption 2
оза + 9
оза - 27

Answers

Answer:

3a-27

Step-by-step explanation:

Distribute the 3

3 x a is 3a

3 x 9 is 27

3a - 27

distribute the 3 to everything in the parenthesis

3 (a) = 3a
3 (-9) = -27

The perimeter of a parallelogram is 88 cm and one of its adjacent sides is longer
than the other by 10 cm. Find the length of each of its sides.​

Answers

Answer:

sides are 17 cm and 27 cm

Step-by-step explanation:

let the side be x then the adjacent side is x + 10

The perimeter is then

x + x + x + 10 + x + 10 = 88, that is

4x + 20 = 88 ( subtract 20 from both sides )

4x = 68 ( divide both sides by 4 )

x = 17

and x + 10 = 17 + 10 = 27

The sides of the parallelogram are 17 cm and 27 cm

Solve for n: 2n = n + 3

Answers

Answer:

Step-by-step explanation:

Here you go mate

Step 1

2n=n+3  Equation/Question

Step 2

2n=n+3  Simplify

2n=n+3

Step 3

2n=n+3  Subtract n

answer

n=3

The value of n is given by the equation n = 3

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

2n = n + 3   be equation (1)

On simplifying the equation , we get

Subtracting n on both sides of the equation , we get

2n - n = 3

n = 3

Therefore , the value of n is 3

Hence , the equation is n = 3

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

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