1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ad-work [718]
3 years ago
7

Pia printed two maps of a walking trail. The length of the trail on the first map is 8 cm. The length of the trail on the second

map is 6 cm.
(Q. 1)
1 cm on the first map represents 2 km on the actual trail. What is the scale factor from the map to the actual trail? What is the length of the actual trail?
(Q. 2)
A landmark on the first map is a triangle with side lengths of 3 mm, 4 mm, and 5 mm. What is the scale factor from the first map to the second map? What are the side lengths of the landmark on the second map? Show your work.
Mathematics
1 answer:
Vlada [557]3 years ago
3 0
Scale :

Map 1 : Actual
1 cm   :  2 km
1 cm   :  200 000 cm          | Convert 2km to 200 000cm

Answer: The scale is 1 : 200 000 

Map 1 : Actual
1 cm   :  200 000 cm 
(x8)    :   (x8)
8 cm :  1 600 000cm

1 600 000 cm = 16 km

Answer: The length of the actual trail is 16 km

Map 1 : Map 2
8cm   :   6cm
1cm    :    0.75 cm

Answer : The scale is 1 : 0.75

Map 1 : Map 2
1    :  0.075 

3mm : 0.075 x 3 = 0.225mm

4mm : 0.075 x 4 = 0.3 mm

5mm : 0.075 x 5 = 0.375 mm

Answer: The side lengths are 0.225mm, 0.3 mm and 0.375 mm

You might be interested in
Solve the system by graphing. {-2x=2y-4, 2x-y=-5
Phantasy [73]

x=(2y-4)/-2

x=-y+2

2(-y+2)-y=-5

-2y+4-y=-5

-3y+4=-5

-3y=-9

y=3

x=-y+2

x=-3+2

x=-1

5 0
3 years ago
WhaThe factorization of x2 + 3x – 4 is modeled with algebra tiles.t is the factored form of x2 – x – 2?
Nataly [62]

Answer:

  x^2 -x -2 = (x -2)(x +1)

Step-by-step explanation:

To factor x^2 -x -2, you look for factors of -2 that have a sum of -1:

  -2 = (-1)(2) = (1)(-2) . . . . . the latter pair has a sum of -1

Then these are the constants in the binomial factors:

  x^2 -x -2 = (x +1)(x -2)

_____

<em>Comment on the question</em>

The fact that x^2 +3x -4 is modeled with algebra tiles seems to be irrelevant to the question that is actually asked.

4 0
2 years ago
Solve for x: 2(x 3)2 − 4 = 0 Round your answer to the nearest hundredth. X = 4. 41, 1. 59 x = 1. 34, 5. 24 x = −1. 34, −5. 24 x
gladu [14]

The two values when the provided quadratic equation is solved for the x are -4.41 and -1.59 to the nearest hundredth.

<h3>What is a quadratic equation?</h3>

A quadratic equation is the equation in which the unknown variable is one and the highest power of the unknown variable is two.

The standard form of the quadratic equation is,

ax^2+bx+c=0

Here, (<em>a,b,c</em>) are the real numbers and <em>x </em>is the variable.

To find the value of x, the following formula is used,

x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

The given equation is,

2(x+ 3)^2 - 4 = 0

To solve this equation, we need to apply some mathematical operations over it. Let's start with opening the brackets.

2(x+ 3)^2 - 4 = 0\\2(x^2+6x+9)-4=0\\2x^2+12x+14-4\\2x^2+12x+12=0\\x^2+6x+7=0

On comparing with standard equation we get,

a=1, b=6, c=7

Put this values in the above formula,

x=\dfrac{-(6)\pm\sqrt{(6)^2-4(1)(7)}}{2(1)}\\x=\dfrac{-(6)\pm\sqrt{(6)^2-4(1)(7)}}{2(1)}\\x=-4.41,-1.59

Hence, the two values when the provided quadratic equation is solved for the x are -4.41 and -1.59 to the nearest hundredth.

Learn more about the quadratic equation here;

brainly.com/question/1214333

5 0
2 years ago
If a piece of ribbon is 6 and 1 over 4. feet long, how long is it in inches?
timama [110]
The piece of ribbon would be 75 inches. The ribbon would be 75 inches because 1 foot would be 12 inches and you would multiply 12 by 6 to get 72. Then, 1/4 of a foot would be 3 inches because you could divide 12 and 4(the denominator you are dealing with) to get 3. Then, add 72 + 3 to get 75. Hope this helps!
5 0
3 years ago
X = ?<br><br>Find the composite function 20 points and brainliest
masha68 [24]
Answer:

Explanation:

fg(x) = (x+2)(3x^2 - 1)
= 3x^3 - x + 6x^2 - 2
= 3x^3 + 6x^2 - x - 2

gf(x) = (3x^2 - 1)(x + 2)
= 3x^3 + 6x^2 - x - 2

As you can see:

fg(x) = gf(x)
3x^3 + 6x^2 - x - 2 = 3x^3 + 6x^2 - x - 2
5 0
3 years ago
Other questions:
  • of the 125 students in 5th grade, 3/5 of them have a mobile phone. How many students do not have a mobile phone.
    6·2 answers
  • A hat costs $25. Tax is 8%. How much is the tax on the hat?
    13·2 answers
  • What is 0.32 as faction
    12·1 answer
  • An athlete trains for 75 mins each day for as many days as possible write an equation that relates the number of days d that the
    14·1 answer
  • What is the answer to this 100/10
    8·1 answer
  • Find the measure of ∠DBF (HURRY ASAP)
    11·2 answers
  • Given: Point B is the midpoint of segment AC and
    7·1 answer
  • Is Anyone wanna do this please I’ll do anything you’ll literally be my fav person ever please help
    11·1 answer
  • Consider the following polynomial:
    15·1 answer
  • write in algebraic expression1) quotient of a number b and 36 2) 45 divided into a number r3) sum of 21 and a number x4) a numbe
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!