Question : A map of the city is made using the scale 1 cm = 18 m. If the park in the city is 90 m long,
what is its length in the map?

Answers

Answer 1

Answer:

5 cm

Step-by-step explanation:

We can use a ratio to solve

1 cm      x cm

-------  = ---------

18 m         90 m

Using cross products

1 * 90 = 18x

Divide each side by 18

90/18 = 18x/18

5 =x

5 cm

Answer 2

[tex]\bf \large \longrightarrow \: \frac{1}{18} \: \times \: \frac{x}{90} \\ [/tex]

Now , Cross Multiplying

[tex]\bf \large \longrightarrow \: \: 18x \: = \: 90[/tex]

[tex]\bf \large \longrightarrow \: \:x \: = \: \frac{90}{18} \\ [/tex]

[tex]\bf \large \longrightarrow \: \:x \: = \: \cancel\frac{90}{18} \: ^{5} \\ [/tex]

[tex]\bf \large \longrightarrow \: \:x \: = \: 5[/tex]

Hence , the length of map is 5 cm.


Related Questions

Cho đa thức f(x) = biết rằng f(1)=f(-1); f(2)=f(-2).

Chọn câu đúng :

A. f ( x ) = f ( −x) với mọi x

B. f ( x ) = − f ( −x) với mọi x

C. f ( x ) = 2 f ( −x) với mọi x

D. f ( x ) = 3 f ( −x) với mọi x

Answers

Answer:

A

Giải thích:

f(1)=f(x)

f(-1) và f(-2)= f(-x)

=> f(1)=f(-1) =A. f(x)=f(-x)

determine the quadratic equation in standard form of a parabola with a zero at x=5 and vertex ar (-3, 32). start with factored form

a)find the other zero

b) create your factored form equation

c) create your standard form equation ​

Answers

Answer:

see image...

start with Graphing Form: y = a(x-h)²+ k

knowing that h is the x value (negative of it)  of the vertex , and k is the y value of the vertex

Graphing Form Equation: y =  a(x+3)²+32

you are also given that when the x value is 5 the y value has to be 0

0 = a(4)^2 + 32

a has to be - 1/2    

   

Step-by-step explanation:

describe the rule that describes the relationship between the numbers in the top row (x) and the bottom row (y) in the following table ​

Answers

Answer:

y(x) = 2x+3

Step-by-step explanation:

the rule is y(x) = 2x+3

Last question, thank you guys a lot for helping me out

Answers

Answer: Her earnings after taxes will be $415.80 (choice C)

How?

PER 1 HOUR: 0.77 x (13.50 x 1) = 0.77 x $13.50 = $10.395

PER 40 HOURS: 0.77 x (13.50 x 40h) = 0.77 x 13.50 x 40 = $415.80

If f(x) = x3 – 1, what is the ordered pair for x = -2.?

Answers

Answer:

(-2, -9)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Functions

Function Notation

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x³ - 1

x = -2

Step 2: Evaluate

Substitute in x [Function f(x)]:                                                                          f(-2) = (-2)³ - 1Exponents:                                                                                                        f(-2) = -8 - 1Subtract:                                                                                                            f(-2) = -9Rewrite:                                                                                                             (-2, -9)

Name three collinear points.

Answers

Answer: l,j,k

Step-by-step explanation:

please help! I will give brainliest to the right answer​

Answers

Answer:

75.36 is the answer.

Step-by-step explanation:

trust me bro.

Answer:

75.39822

Step-by-step explanation:

2πrh+2πr2=2·π·2·4+2·π·22≈75.39822

It said don't round your answer...

the train regularly travels 135 miles in 60 minutes.

What is the speed, in miles per minute, on this portion of the route?

Answers

Answer:

2.25 miles per minute

Step-by-step explanation:

Speed = Distance/Time

135/60

2.25 miles per minute

Answer from Gauthmath

what is the value of the smallest of five consecutive integers if the least minus twice the greates equals -3

A. -9
B. -5
C. -3
D. 5

Answers

Answer: (b)

Step-by-step explanation:

Given

There are five consecutive integers and the least minus twice the greatest equals to -3

Suppose [tex]x,x+1,x+2,x+3,x+4[/tex] are the five consecutive integers

According to the question

[tex]\Rightarrow x-2(x+4)=-3\\\Rightarrow x-2x-8=-3\\\Rightarrow -x=8-3\\\Rightarrow x=-5[/tex]

option (b) is correct.

|Area of a square field is 617796cm² . Find length of its each side.

Answers

Answer:

length of its each side is 786 cm

Step-by-step explanation:

l² = 617796cm²

l = √617796

l = 786cm

Answer:

[tex]area \: of \: square = {l}^{2} [/tex]

[tex]617796 = {l}^{2} [/tex]

[tex] \sqrt{617796 } = l[/tex]

[tex]786 = l[/tex]

therefore ,l=786cm

ok so this... is confusing the hell outta me any help?

Answers

Answer:

y = 24

Step-by-step explanation:

The sum of the angles of a triangle is 180

A+B+C = 180

ABC = 60

We know 2x-4 = 60

2x -4+4 = 60+4

2x = 64

x = 64/2 = 32

A = 3x = 3(32) = 962x-4 = 60

B = 60

Using the first equation

96+ 60 +y = 180

156 +y =180

y = 180-156

y = 24

In Exercises 51−56, the letters a, b, and c represent nonzero constants. Solve the equation for x
2bx – bx = -8

Answers

Answer:

x = -8/b

Step-by-step explanation:

2bx – bx = -8

Combine like terms

bx = -8

Divide by b

bx/b = -8/b

x = -8/b

Urgently need help step by step explanation needed

Answers

Answer:

p=8

Step-by-step explanation:

-5log(p+1)+2=-8

-5log(p+1)=-10

log(p+1)=2

p+1=9, p=8

A rectangle has side lengths 2x + 3 and 5x - 2.
Write an expression without brackets for the area of the rectangle

Answers

Answer:

10x² + 11x - 6

Step-by-step explanation:

The area (A) is the product of the sides, that is

A = (2x + 3)(5x - 2) ← expand using FOIL

   = 10x² - 4x + 15x - 6 ← collect like terms

   = 10x² + 11x - 6

5. At a wedding reception, an equal
number of guests were seated at
12 round tables. The 13 people in
the wedding party were seated at
a rectangular table. There were 121
people at the reception altogether.
Which equation could you use to find
the number of guests, n, seated at each
round table?
A 12 + 13n = 121
B 12n + 13= 121
C 121 = 12n - 13
D 121 = 13n - 12

Answers

Answer:

b i think

Step-by-step explanation:

C , because there was 121 people in total which that is the total amount and then there’s 12 round tables and you are trying to figure out the number of guest seated at each round table which that makes 121=12n and since there was 13 people already sitting at a rectangle table then they don’t count so basically it’s 121=12n -13 . Because the people at the rectangle table don’t count anymore more because they are seating down in the rectangle table. And you just need to find out how many people need to sit at the round tables since there’s only 13 people sitting at the rectangle table. Hope this helps !

15. Mary was given data comparing students’ mark in math class and the number of classes missed. She plotted the data on the graph below and drew a line of best fit. Do you agree with Mary’s drawing of the line of best fit? Justify your answer. PLEASE HELP ITS RLLY IMPORTANT

Answers

Answer:

No

Step-by-step explanation:

The line of best fit should follow the correlation of the data and it should go through as many of the plotted data as possible.

The Data is showing a negative correlation but she has drawn on a positive correlation and it also only goes through 1 point.

Hope this helps :)

i am having problems with this problem.

Answers

Answer:

-70

Step-by-step explanation:

keep adding -4 until you reach the 18th term for example

-2

-6

-10

-14

-18

-22

-26

-30

-34

-38

-42

-46

-50

-54

-58

-62

-66

-70

If 5 is added to the difference of 3 times of 4 and 7 find the number

Answers

Answer:

14

Step-by-step explanation:

3*4=12

3*7=21

Diff= 21-12

Diff= 9

Plus 5=9+5

The number is 14

rachel rides her bicycle due east at 9 miles per hour amos rides his bicycle due north at 12 miles per hour if they left from the same point at the same time how far apart will they be after 1 hour

Answers

The distance between Rachel and Amos after one hour is 15 miles.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Distance travelled by Rachel after one hour = 9 mph * 1 h = 9 miles

Distance travelled by Amos after one hour = 12 mph * 1 h = 12 miles

Let x represent the distance between Rachel and Amos, hence:

x² = 9² + 12²

x = 15

The distance between Rachel and Amos after one hour is 15 miles.

Find out more on equation at: https://brainly.com/question/2972832

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Using the Pythagorean Theorem, they will be 15 miles apart after one hour.

What is the Pythagorean Theorem?

The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:

[tex]h^2 = l_1^2 + l_2^2[/tex]

For this problem, considering their directions, their distance is the hypotenuse of a right triangle of legs 9 miles and 12 miles, hence:

[tex]d^2 = 9^2 + 12^2[/tex]

[tex]d = \sqrt{9^2 + 12^2}[/tex]

d = 15 miles

More can be learned about the Pythagorean Theorem at https://brainly.com/question/654982

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Use what you know about sine, cosine, and tangent to calculate the height of the buildings in the diagram below.

Answers

Answer:

x = 32 feet

Step-by-step explanation:

By applying tangent rule in ΔACD,

tan(40°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

             = [tex]\frac{AB+AC}{CD}[/tex]

             = [tex]\frac{x+BC}{87}[/tex]

x + BC = 73 -----(1)

By applying tangent rule in ΔBCD,

tan(25°) = [tex]\frac{BC}{CD}[/tex]

             = [tex]\frac{BC}{87}[/tex]

BC = 40.57

By substituting the value of BC in equation (1),

x + 40.57 = 73

x = 32.43

x ≈ 32 feet

One angle on the base of an isosceles triangle is 30°. What is the measure of its vertical angle?​

Answers

Answer:

120 degrees

Step-by-step explanation:

vertical angle of isoceles = 180 - 2(base angles) = 180 - 2(30) = 120

Answer:

isosceles triangle means both angle or sides equal so in this way

unknown angle + 30 + 30 = 180°

unknown angle+60=180

so unknown angle=120°

which is vertical angle

A man invested a certain amount of money in a bank at a simple interest rate of 5percent per annum. At the end of the year, his total amount un the bank was GHC 840,000.00. How much sid he invest in the bank.​

Answers

Answer: He invested 8,00,000.

Step-by-step explanation:

R = 5%

A = 840,000

T = 1 year

so

so

I = A-P

so

I = PTR/100

or, A-P = (p*1*5)/100

or, 840,000-P = 5p/100

or, 8,40,00,000-100P = 5p

or, 8,40,00,000 = 105P

so, p = 8,40,8,40,00,000

so, P = 8,00,000

What is the product of the fractions below?

Answers

The answer to this question is c because you add the numerator and you times the denominator!

Answer:

B

Step-by-step explanation:

6/11 * 7/3 = 6*7/11*3 = 42/33

We can simplify this by dividing both by 3.

42/3 = 14

33/3 = 11

So we get 14/11

need help with number 8

Answers

Answer:

x = 14 2/3

Step-by-step explanation:

it is a parallelogram.

that means AB is parallel to CD, and AD to BC.

it also means that the total angles at B and D must be equal. and the total angles at A and C.

and the sum of all angles in a parallelogram is 360 degrees.

so, we have

360 = 2×(4x + 4x + 8) + 2×(x + 10 + 2x + 8) =

= 8x + 7x + 16 + 2x + 20 + 4x + 16 =

= 21x + 52

308 = 21x

x = 14.666666666.... = 14 2/3

Carrie is asked to draw a triangle with the following specification
• at least two angles measuring 60°
Which of the following statements about this triangle is true?
A. One and only one triangle exists with the given condition, and it must be an equilateral triangle
В.
More than one triangle exists with the given condition, and all instances must be equilateral triangles
C
One and only one triangle exists with the given condition, and it must be an isosceles triangle
D
More than one triangle exists with the given condition, and all instances must be isosceles triangles





Answers

Answer:

just put in the cheat codes of life its not that hard

Answer:

answers is B

(Study island)

Step-by-step explanation:

Choose the complete predicate for the sentence below. My friend from school is going to a football game tomorrow. My friend My friend from school going to a football game tomorrow is going to a football game tomorrow

Answers

Answer:

The complete predicate is the following: "is going to a football game tomorrow."

Step-by-step explanation:

A sentence is spit into two main parts, the subject and the predicate. The subject is what the sentence is about and it typically occurs before the verb. Everything before the verb in this case would be the complete subject. What is left is the complete predicate. The complete predicate includes the verb and everything after it until the end of the sentence.

Answer:

The complete predicate is the following: "is going to a football game tomorrow."

Step-by-step explanation:

A sentence is spit into two main parts, the subject and the predicate. The subject is what the sentence is about and it typically occurs before the verb. Everything before the verb in this case would be the complete subject. What is left is the complete predicate. The complete predicate includes the verb and everything after it until the end of the sentence.

A national caterer determined that 37% of the people who sampled their food said that it was delicious. If the 144 people at the Valley Ridge Nursing Home are given the same food, and asked by tables what the deliciousness of the food, what is the mean of the sampling distribution of p-hat (the population proportion)

Answers

Answer:

Hence the mean of the sampling distribution of proportion is,  

[tex]\mu\hat p = p = 0.37[/tex].

Step-by-step explanation:

Here the given details are,  

p = 0.37  

1 - p = 1 - 0.37 = 0.63  

n = 144  

The mean of the sampling distribution of proportion is,  

[tex]\mu\hat p = p = 0.37[/tex]

Pippa had 35 stickers. She gave an equal number of stickers to 8 friends. She gave each friend as many stickers as possible and kept the rest for herself. How many stickers did Pippa keep for herself? What is the misconception which might lead some to select D) 27 A) 3 B) 4 C) 11 D) 27

Answers

Answer:

The answer is (A), Pipa kept 3 stickers to herself

Step-by-step explanation:

What is the length of leg s of the triangle below?
90°
45
6
172
45
O
A. 72
B. 5
C. 3
O O O O a
D. 6
E. 3.2
F. 36

Answers

Answer:

6

Step-by-step explanation:

It's a 45-45-90 triangle, it has two similar sides, since it has two similar angles, which are both 45°

so, side = s = 6

Answered by GAUTHMATH

The length of the leg s of the triangle below is 6.

Option D is the correct answer.

What is the Pythagorean theorem?

Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

Applying the Pythagorean theorem in the triangle.

√72² = s² + 6²

72 = s² + 36

s² = 72 - 36

s² = 36

s = √36

s = 6

We can also say that,

Opposite angles of equal sides are equal

So,

s = 6.

Thus,

The length of the leg s of the triangle below is 6.

Learn more about the Pythagorean theorem here:

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help
1) find the value of x
2)find length of a side of the square

Answers

Answer:

x = 12 , s = 41

Step-by-step explanation:

The sides of a square are equal , so

4x - 7 = 3x + 5 ( subtract 3x from both sides )

x - 7 = 5 ( add 7 to both sides )

x = 12

Then

length of side s is

s = 4x - 7 = 4(12) - 7 = 48 - 7 = 41

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