Carroll bikes 1 kilometer east, 4 kilometers north, and then 5 kilometers east again. How far is Carroll from her starting position?

Answers

Answer 1

Answer:

10.5 km

Step-by-step explanation:

this can be solved using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

1² + 4² =

1 + 16 = 17

√17 = 4.123km

4² + 5²

16 + 25 = 41

√41 = 6.40 KM

total distance = 6.4 + 4.12 = 10.52


Related Questions

find the measure of angle TFM​

Answers

Answer:

130°

Step-by-step explanation:

angle TFM + angle MFD = 180° (being a linear pair)

or, 4m + 142° +2m + 56°= 180°

or, 6m= 180°- 198°

or, m= -18°/6

so, m= -3°

now, angle TFM = 4m +142°= -12°+142°= 130°

Which polynomial represents the difference below?
(8x^2 + 9) - (3x^2 + 2x + 5)
A. 11x^2 – 2x+ 4
B. 5x^2 - 2x + 14
C. 5x^2 - 2x + 4
D. 11x^2 + 2x + 14
PLSSS help I don’t got da money for a trial

Answers

Answer: C. 5x^2-2x+4
all you need to do to figure this out is distribute the minus sign to the last part of the polynomial and then just combine the common factors in it.
hope this helps :)

Select the response that best answers the question below
In a school of 910 pupils, į are boys and
of the boys wear glasses. How many
boys wear glasses?
(A)
156
(B)
390
(C)
520
(D) 754​

Answers

Answer:

What is the number of boys? I think you forgot to add the number in.

Step-by-step explanation:

Don't worry, I'll still help you! I'll be here waiting! :)

A parallelogram-shaped window is divided into two sections by a rectangular piece of wood. Find the total of the area of the surface.

The total area of the glass surface is _ square inches

Answers

answer: 288 sq in
explanation: subtract 4 from 22 because 4 in is the wood in the middle.
22 - 4 = 18
then you do l x w
18 x 16 = 288

NEED HELP FAST!!!! PLEASE HELP!!

Answers

Answer:

AB: 3

BC: 5

CD: 3

DA: 5

Step-by-step explanation:

You’re welcome

Hey nejeke disk Keke henr ejekeneu disheveled woke

1 of 5
True or false?
The following is a statistical hypothesis:
Smoking damages your health.
Explain your answer in the comment box.
B
A
T

Answers

Answer:

True

Step-by-step explanation:

Smoking damages your entire cardiovascular system. Speaking of this Nicotine causes blood vessels to tighten, which restricts the flow of blood. Over time, the ongoing narrowing, along with damage to the blood vessels, can cause *peripheral artery disease*. Smoking also raises blood pressure, weakens blood vessel walls, and increases blood clots.

* Peripheral artery disease is a common circulatory problem in which narrowed arteries reduce blood flow to your limbs

Hope this helps :) Brainliest would be appreciated XD

If you can please help me with this question~ the question is the image :)

Answers

Answer:

B

Step-by-step explanation:

Start by using the distance formula to find the raidus

The two points are (-2,1) and (-4,1)

√((-4+2)²+(1-1)²)= 2

The radius is two and we have our center which means we can write

(x+2)²+(y-1)²=4

now it's just a matter of expanding everyhting

x²+4x+4+y²-2y-3=0

x²+y²+4x-2y+1=0

This is equal to B

Brainliest, 40 points

Answers

(4a³+6a²-10a-4)+(6a²+a²+a+7)

(4a³+6a³)+(6a²+a²)+(-10a+a) + (-4+7)

10a³+7a²-9a+3

OPTION D is the correct answer

Answer:

option d is the correct answer

I hope it helped U

stay safe stay happy

How did Progressives address the problems caused by industrialization?

Answers

The main objectives of the Progressive movement were addressing problems caused by industrialization, urbanization, immigration, and political corruption. ... By taking down these corrupt representatives in office, a further means of direct democracy would be established.

Round your answer to one decimal digit. The volume of a cylinder is 1 800 cm3. If the height of the cylinder is 40 cm then the diameter of the cylinder is

Answers

Answer:

7.57 cm

Step-by-step explanation:

Volume of a cylinder = πr²h

π = 3.14

r= radius

h = height

1,800 = 3.14 x r² x 40

r² = 1800 /(3.14 x 40)

r² = 14.33121

√14.33121 = r

r = 3.785658 cm

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

Diameter = 2 x 3.785658 cm = 7.57cm

y = 4 x − 1
y = − x + 4

Answers

Answer:

x=1 , y=3

Step-by-step explanation:

y = 4 x − 1

4(y = − x + 4)

y = 4 x − 1

4y= - 4 x +16

5y= 15

y=3

3=4x-1

+1     +1

4=4x

/4  /4

x=1


Help!!!!!! I Don’t Know The Answer It’s Hard

Answers

Answer:

D

Step-by-step explanation:

Have a great summer :)

Answer:

C

Step-by-step explanation:

The slope is negative, so we can exclude the graph A and D

If we substitute y with 2 and x with -3 we have

2 = -4/3 (-3) -2

2 = 4 - 2

2 = 2

the equality is verified so C is the answer

Write the quadratic equation in standard form:
-7x+4=x^2

Answers

it would be x^2+7x-4, you just move everything to one side.

Answer:

x² + 7x - 4 = 0

Step-by-step explanation:

A quadratic equation in standard form is

ax² + bx + c = 0 ( a ≠ 0 )

Given

- 7x + 4 = x² ( subtract - 7x + 4 from both sides )

0 = x² + 7x - 4 , that is

x² + 7x - 4 = 0 ← in standard form

A newsletter publisher believes that less than 49% of their readers own a laptop. For marketing purposes, a potential advertiser wants to confirm this claim. After performing a test at the 0.10 level of significance, the advertiser decides to reject the null hypothesis. What is the conclusion regarding the publisher's claim

Answers

Answer:

The answer is "At the 0,10 level, there should be enough proof that the percentage is below 49%"

Step-by-step explanation:

Null and alternative hypothesis:

[tex]H_0 :P \geq 0.49\\\\H_1:P<0.49 \ \ (\text{Left tailed test})\\\\[/tex]

Significance level: [tex]\alpha = 0.10[/tex]

It is decided that the null hypothesis at the defined meaning level is rejected.

identify one solution for this graph

Answers

Answer:

y>2/1+-4

Step-by-step explanation:

y> because it's shaded over and since it's not dashes it needs the underline

2/1 because it's goes to the left twice and up once

-4 because that's where it starts

If my box plot is ranged from 60-64 in height and inches what is the data value is the upper quartile ( q3)

Answers

Answer:

[tex]Q_3 = 64[/tex]

Step-by-step explanation:

Given

Box of a box plot with the range: 60 - 64

Required

The upper quartile

To do this, we simply identify the endpoint of the range

Given that the range of the box is 60 to 64.

We have:

[tex]Start = 60[/tex]

[tex]End = 64[/tex]

Hence:

[tex]Q_3 = 64[/tex]

In a square PQRS, PQ = 2x +3 cm and QR = 3x – 5 cm, then the value of x is

Answers

Answer:

x = 8 cm

Step-by-step explanation:

Given that,

In a square PQRS, PQ = 2x +3 cm and QR = 3x – 5 cm.

We need to find the value of x.

In a square, all the sides are equal. So,

PQ = QR

2x +3 = 3x – 5

3+5 = 3x - 2x

x = 8

So, the value of x is equal to 8 cm.

A total of 3600 athletes partipated in the Singapore 2010 youth Olympic Games. There were 1200 media representatives who reported on the games, 20,000 volunteers who helped out during the games and 370,000 spectators who attended the games. Find the ratio of The number of media representatives to the number athletes to the number of spectators

Answers

Step-by-step explanation:

answer is in the image above

Solve for x.

5x – 10 > 20 or 5x – 10 ≤ –15

Answers

For the one it

X>6


For the second one it’s x ≤ −1

the correct answer
A school bus has 25 seats, with 5 rows of 5 seats, 15 students from the first grade and 5 students from the second grade travel in the bus. How
many ways can the students be seated if all of the second grade students occupy the first row?
ОА 2P20
OB gPg 20115
oc. gg* 25 C14
OD. SPg ISPIS
Ol. 9Pg x 2g Cis

Answers

Answer:

5P5 × 20P15

Step-by-step explanation:

i think...

sorry if im wrong

good luck

Which of the following is equivalent to 5sqrt 13^3

Answers

Answer: D) 13^(3/5)

Step-by-step explanation: This is assuming that the question is asking the √13^3. With the five as the y root.

Solve 7x+6<3(x - 2).

Answers

Answer:

x<−3

Step-by-step explanation:

hope this works

How many questions were on Victoria test

Answers

25!

(80/100)*x=20
x=25

100% Verified

Hope this helps! :)

What is the area of a rectangle with a length of x + 5
and a width of 4?

Answers

Answer:

[tex]area = (length \times width) \\ = (x + 5) \times 4 \\ = (4x + 20) \: square \: units[/tex]

Does anyone know the Answer for this

Answers

y= -6, hope this helps

Answer:

The value of y when x = 8 is -8.

Step-by-step explanation:

y = 8 - 2x

y = 8 - 2*8

y = 8 - 16

y = -8

Have a nice day!

PLZ HELP ILL GIVE BRAINLY!!!1 NO LINKS!!!!!

Find the 9th term in the following arithmetic sequence: 17, 13, 9, 5,...

Hint: Write a formula to help you.

1st term+ common difference(desired term-1)

Answers

Answer:

the 9th term would be  -15

Step-by-step explanation:

Find the gradient of the line segment between the points (-3,2) and (4,4).

Answers

Answer:

slope = [tex]\frac{2}{7}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (4, 4)

m = [tex]\frac{4-2}{4-(-3)}[/tex] = [tex]\frac{2}{4+3}[/tex] = [tex]\frac{2}{7}[/tex]

Answer:

= 2

7

Step-by-step explanation:

slope = y2 - y1

x2 - x1

=4 - 2

4 - -3

= 2

7

y - 4 = 2

x - 4 7

7(y - 4) = 2(x - 4)

7y - 28 = 2x - 8

7y = 2x - 8 + 28

7y = 2x + 20

7 7 7

Gradient = 2

7

In the figure GHF=EHD. Which statement it true brother CP CTC?
A) FH=HE
B) DH=HF
C) GH=HD
D) GF=HD

Answers

I DONT KNOW THIS IS SO HARD:(((

Answer: DH and HF correspond.

The function f(x)=300x/x^2+200 represents the monthly sales in hundreds of cds x months after the cd was released. Each statement interpretes a key feature of the function based on the table. Which statement is an interpretation of the end behavior

Answers

Answer is d hope it helps

13. You are 3 inches taller than you were last year last year you were 60 inches tall. How tall are you now?

Answers

63 inches tall

Explanation: 60+3= 63

Answer:

63 inches tall.

Step-by-step explanation:

60 + 3 = 63.

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