instructions: Find the actual distance if the map has a scale of 2 cm : 21 km. According to your Boss’ research, Manhattan and The Bronx are 8.6 cm apart on the map. What is their actual distance?

Answers

Answer 1

Answer:

Step-by-step explanation:

If we have the scale

2 cm: 21 km

8.6 cm will be

x=actual distance

x=(8.6*21)/2=90.30 km


Related Questions

How can you get the sugar out of the sweet tea?​

Answers

Answer:

use the thingy with the holes I guess

Help me answer the question in the attached document pleaseeee

Answers

Answer:

1. Yes

2. No

3.No

Step-by-step explanation:

Complete the equation: 43 in =ft .

Answers

Answer:

3.58333 feet

Step-by-step explanation:

the answer is 3’7 feet

Dana had 92€ until she spent 1 quarter. How much money does dana have now?

Answers

Answer:

67

Step-by-step explanation:

because a quarter is 25 cent and dana had 92 so all u have to do is take away 25 and you will get 67

Need this now plz


The formula for the area of a rectangle is A = l ∙ w, where A = area, l = length and w = width.


The area of a rectangle with a length of 12 inches and width of 5 inches is _____ square inches.

For the open space

A 34

B 17

C 60

Answers

Answer:

c.60

Step-by-step explanation:

12 x 5 = 60

Answer:

now you can give them brainlest

Chloe is making brownies that call for 4 large eggs to make 16 brownies. How many eggs will she need if she wants to make 40 brownies but keep the same great recipe flavor ?​

Answers

Well, if you multiply 4 by 2 and get 8 eggs that calls for 32 brownies. And since 4 eggs makes 16 brownies. That would mean that 2 eggs can make 8 brownies. Take the 8 eggs from earlier and at 2 eggs you get 40 brownies with the same flavor. So 10 eggs

Answer: 10 eggs

Step-by-step explanation:

you need to divide 40 by 16 then you multiply that by 4 and you get 10.

96 cm
с
B
ABC is a right angled triangle. if B = 90°, AC = 96 cm, C = 30°.
cm
AB =

Answers

Answer:

The length of AB is 48 centimeters.

Step-by-step explanation:

According to the given information, AC is the hypotenuse of the right triangle, since it is opposed to a right angle (angle B). BC is the leg adjacent to angle B, whereas AB is the leg opposed to angle C. Then, we can find the length of AB by the following trigonometric identity:

[tex]\sin C = \frac{AB}{AC}[/tex] (1)

If we know that [tex]AC = 96\,cm[/tex] and [tex]C = 30^{\circ}[/tex], then the length of [tex]AB[/tex] is:

[tex]AB = AC\cdot \sin C[/tex]

[tex]AB = (96\,cm) \cdot \sin 30^{\circ}[/tex]

[tex]AB = 48\,cm[/tex]

The length of AB is 48 centimeters.

3 divided by 1/2
What’s the answer

Answers

Answer:

I think its 6

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

Hey there! If you have any questions feel free to leave them in the comments below

3 ÷ [tex]\frac{1}{2}[/tex] = 6

You should flip the reciprocal and then multiply it by 3. 3 * 2 would = 6.

~I hope I helped you :)~

List the six (6) trigonometric ratios for the angle 2(pi)/3 using the unit circle.

Answers

The six trigonometric ratios are [tex]\sin{\theta}\\[/tex], [tex]\cos{\theta}[/tex], [tex]\tan{\theta}\\[/tex], [tex]\csc{\theta}\\[/tex], [tex]\sec{\theta}\\[/tex], [tex]\cot{\theta}\\[/tex]

[tex]\sin{\frac{2\pi}{3}} = \sin{\frac{\pi}{3}} = \frac{\sqrt{3}}{2}\\\cos{\frac{2\pi}{3}} = \cos{\frac{\pi}{3}} = \frac{1}{2}\\\tan{\frac{2\pi}{3}} = \tan{\frac{\pi}{3}} = \frac{\sin{\frac{\pi}{3}}}{\cos{\frac{\pi}{3}}} = \frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}} = \frac{2\sqrt{3}}{2} = \sqrt{3}\\\csc{\frac{2\pi}{3}} = \csc{\frac{\pi}{3}} = \frac{1}{\sin{\frac{\pi}{3}}} = \frac{1}{\frac{\sqrt{3}}{2}} = \frac{2}{\sqrt{3}}} = \frac{2\sqrt{3}}{3}\\[/tex]

[tex]\sec{\frac{2\pi}{3}} = \sec{\frac{\pi}{3}} = \frac{1}{\cos{\frac{\pi}{3}}} = \frac{1}{\frac{1}{2}} = \frac{2}{1} = 2\\\cot{\frac{2\pi}{3}} = \cot{\frac{\pi}{3}} = \frac{1}{\tan{\frac{\pi}{3}}} = \frac{1}{\sqrt{3}} = \frac{\sqrt{3}}{3}[/tex]

Algebra 2 2.11 system of Linear inequalities

Answers

Answer:

Constraints;

T + F ≤ 2000

4t ≥ F

T ≥ 0

F ≥ 0

Step-by-step explanation:

T- Technology stock

F - food stocks

T + F ≤ 2000

4t ≥ F

T ≥ 0

F ≥ 0

Now one has to use linear programming to solve this problem.

Perform the indicated operation. (2x + y)^2

Answers

Answer: 2x^2 + y^2

Hope this helps :)

A travel agency is advertising a vacation package that includes $250 fora $40a day for hotel. The agency also offers the option of eating breakfast and lunch at the hotel for
$10 a day for the length of the hotel stay.

Answers

Answer:

V(d) = 50d + 250 us the answer

The equation for the function V(d) is V(d) = 5d + 250 if the travel agency is advertising a vacation package that includes $250 for $40a day for a hotel.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that,

A travel agency is advertising a vacation package that includes $250 for $40a day for a hotel.

The agency also offers the option of eating breakfast and lunch at the hotel for $10 a day for the length of the hotel stay.

The equation for the function can be framed as follows:

Per day expense  = 40 + 10 = 50

Fixed expense = 250

V(d) = 5d + 250

Thus, the equation for the function V(d) is V(d) = 5d + 250 if the travel agency is advertising a vacation package that includes $250 for $40a day for a hotel.

Learn more about the function here:

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Michael has been saving his money and wants to invest it. After doing some research, he has decided to invest $20,000 into a Certificate of Deposit. The interest rate on the CD is 3% with a term of five years, and the interest is paid out annually. Based on recent inflation, Michael is planning on an annual inflation rate of 2%. How much interest will Michael earn on this CD in the first year, based on the real interest rate? $200 $600 $1,000 $1,400


IT IS NOT $600!!! THE CORRECT ANSWER IS $200 ON EDGE2020

Answers

Answer:

Interest earned= $200

Step-by-step explanation:

Giving the following information:

Initial investment= $20,000

Interest rate= 3%

Inflation rate= 2%

First, we need to calculate the real interest rate. The inflation rate decreases the value of money through time. We need to deduct from the interest rate, the inflation rate.

Real interest rate= 0.03 - 0.02= 0.01

Now, we can calculate the interest earned in year 1:

Interest earned= PV*(1+i)^n - PV

Interest earned= 20,000*(1.01^1) - 20,000

Interest earned= $200

Answer:

200

Step-by-step explanation:

The distance a spring will stretch varies directly with how much weight is attached to the spring if a spring stretches 11 inches is 75 pounds attached how far will it stretch with 65 pounds attached round to the nearest 10th of an inch

Answers

Answer:

the weight that attached to the spring is 9.5 inches

Step-by-step explanation:

The computation is shown below:

inches per pound is

= 11 inches ÷ 75 pounds

Now for 65 pounds, it would be

=  11 inches ÷ 75 pounds × 65 pounds

= 9.5 inches

Hence, the weight that attached to the spring is 9.5 inches

The same is relevant and considered

A hiker travels at 2.8 miles per hour at a heading of N49°W from a ranger station. After 4 hours, how far north and how far west is the hike from the ranger station?

Answers

Answer:

Step-by-step explanation:

The diagram showing the pictorial view is attached below.

From the image, the distance of the hiker traveled which is denoted by "h" can be determined as follows:

h = 2.8 mi/hr × 4 hr

h = 11.2 mi

Using the trigonometric function;

The distance of how  far North is the hike from the ranger station can be determined by using the function of Sin θ

[tex]Sin \theta = \dfrac{opposite}{hypotenuse}[/tex]

[tex]Sin(41^0) = \dfrac{x}{11.2}[/tex]

x = Sin 41 (11.2)

x = 0.6561(11.2)

x = 7.34832

x ≅ 7.35 miles

The distance of how far west the hike from the ranger station is calculated by using:

[tex]cos \theta = \dfrac{adjacent}{hypotenuse}[/tex]

[tex]cos (41^0)= \dfrac{y}{11.2}[/tex]

y = 0.7547 × (11.2)

y = 8.45 miles

i need help with this question

Answers


I don't know if you've learnt this, but there's something called the KFC rule (you use it when dividing fractions), so k basically stands for keep (so you keep the first fraction), f stands for flip (so you flip the second fraction) and c stand for change (you change the division sign to a multiplication sign)

So you get

5/20*11/5

55/100

which is 11/20

so, an answer of 11/20 would make Quintin correct

9514 1404 393

Answer:

  11/20

Step-by-step explanation:

It is appropriate to "invert and multiply".

  [tex]\dfrac{5}{20}\div\dfrac{5}{11}=\dfrac{5}{20}\times\dfrac{11}{5}=\dfrac{5\times11}{5\times20}=\boxed{\dfrac{11}{20}}[/tex]

A caterpillar moves across the grass at a rate of 423 feet every 7 minutes. How fast does the caterpillar move in feet per minute?

Answers

If it moves 423 feet in 7 minutes, you divide 423 by 7 to see how much it moves per minute, which is Around 60.4 feet per minute

Ryan drove 480 miles and used 20 gallons of gas. How many miles did Ryan’s car get per gallon? Write an equation that would solve this problem.

Answers

The answer is 24 MPG

The length of a cell phone is
1.4 inches and the width is
4.4 inches. The company making the cell phone wants to make a new version whose length will be
1.75 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone?

Answers

Answer:

The width of new phone = 5.5 inches

Step-by-step explanation:

Given that:

Length of cell phone = 1.4 inches

Width of cell phone = 4.4 inches

Ratio of length to width = 1.4 : 4.4

Length of new version = 1.75 inches

Width of new version = x

Ratio of length to width = 1.75 : x

As the relation is proportional;

[tex]1.4:4.4 ::1.75:x[/tex]

Product of mean = Product of extreme

4.4 * 1.75 = 1.4x

7.7 = 1.4x

1.4x = 7.7

Dividing both sides by 1.4

[tex]\frac{1.4x}{1.4}=\frac{7.7}{1.4}\\x=5.5\\[/tex]

Hence,

The width of new phone = 5.5 inches

Figure VWYX is a kite.

Kite V W Y X is shown. Sides V W and W Y are congruent, and sides V X and Y X are congruent. Angles V and Y are right angles. Angle W is (18 x minus 2) degrees and angle X is (12 x + 2) degrees.

What is the measure of angle VXY?

72o
74o
106o
108o

Answers

Answer:

B 74

Step-by-step explanation:

right on edge

The solution is, The value of x is 6.

What is  simplification?

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have.

given that,

Figure VWYX is a kite.

Sides V W and W Y are congruent, and sides V X and Y X are congruent.

Angles V and Y are right angles.

Angle W is (18 x minus 2) degrees and angle X is (12 x + 2) degrees.

The total of angles in any quadrilateral is 360°.

Angles V and Y are 90° each,

so the total of W and X must be 180°.

we have,

 (18x -2) +(12x +2) = 180

 30x = 180

 x = 180/30

    = 6

The value of x is 6.

To learn more on simplification click:

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A submarine out of death of 2167 feet ascends to a depth of 609ft. How far did the submarine ascend?

Answers

Answer:

A submarine was situated 800 feet below sea level. If it ascends 250 feet, what is its new ... Roman Civilization began in 508 B.C. and ended in 476 A.D. How long did Roman Civilization last? 476-(-508) = 476+508 = 984 ...

A bacteria culture starts with 900 900 bacteria and grows at an exponential rate. After 4 4 hours there will be 3600 3600 bacteria. Give your answer accurate to at least 4 decimal places.

Answers

Answer:

R = 41.42% (Approx)

Step-by-step explanation:

Given:

Current bacteria P = 900

Future bacteria A = 3,600

Amount of period = 4 hour

Find:

Growth rate r

Computation:

A = p[1+r]ⁿ

3,600 = 900[1+r]⁴

4 = [1+r]⁴

1.4142 = 1+r

r = 0.4142

R = 41.42% (Approx)

Answer please I’ll give extra points !

Answers

There is a positive correlation because it has a positive line of best fit.

solve the equation: the booster club of the baseball team bought pizza to sell at a concession stand. the school donated three pies to the sale. each pie was then cut into 8 pieces and sold . there were a total of 64 pieces to sell. how many pies did the booster club purchase

Answers

Answer:

Booster club purchased 5 pies.

Step-by-step explanation:

Let the number of pies purchased by booster club be represented by n. The school also donated 3 pies to sell.

So that,

Total number of pies = n + 3

Given that there was 64 pieces of pies to sell after cutting each pie into 8 pieces.

Thus,

8( n + 3) = 64

8n + 24 = 64

8n = 64 - 24

8n = 40

Divide both sides by 8 to have,

n = 5

The number of pies purchased by booster club is 5.

Solve the following polynomial:
(
x

2
)
2
(
x
+
2
)
4
(
x

5
)
2

Answers

Answer: 16 • (x - 2) • (x + 2) • (x - 5)

Step-by-step explanation: 1

(((2•(x-2)•(x+2))•4)•(x-5))•2

STEP

2

:

Equation at the end of step 2

((2•(x-2)•(x+2)•4)•(x-5))•2

STEP

3

:

Equation at the end of step 3

(8 • (x - 2) • (x + 2) • (x - 5)) • 2

STEP

4

:

Equation at the end of step 4

8 • (x - 2) • (x + 2) • (x - 5) • 2

STEP

5

:

Final result :

16 • (x - 2) • (x + 2) • (x - 5)

Select the correct answer from each drop-down menu. Quadrilateral ABCD is translated 7 units down and 2 units to the right. The length of side AB of the original quadrilateral is units. After the translation, the length of side AB will .

Answers

Answer:

select the correct answer from each drop-down menu. quadrilateral abcd is translated 7 units down and 2 units to the right. the length of side ab of the original quadrilateral is units. after the translation, the length of side ab will .

its first year of operation Big Lake Camp had 40 campers this year the tents was under 80% of the first year how many campers participated this year ​

Answers

Answer:
72 campers
Step-by-step explanation:
you would have to multiply the percent to the amount of campers in Big Lake Camp in the first year:
40(1.8) = 72

Ann writes the inequality d ≤ 16, where d equals the number of days, to represent this scenario.

Answers

Answer:

Answer is C

Step-by-step explanation:

A scenario describing the inequality {d ≤ 16} is given below.

What is inequality?

An inequality compares two or more numbers or expressions with one another. For example -

2x + 4y > 7

2x + 5y < 6

Given is that Ann writes the inequality d ≤ 16, where { d } equals the number of days.

A scenerio to represent this inequality is -

" Mike was not able pay the rent for the past 2 months. His landlord had asked him to pay the total rent within the 16 days."

Therefore, we can represent the given inequality as a scenario mentioned above.

To solve more questions on inequality, visit the link below

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Last month, a truck driver made
5 round-trips to Los Angeles and some round-trips to San Diego.
Write an expression that shows how many miles he drove in all.
Identify and describe the part of the expression that shows how
many miles he drove and trips he made to San Diego.

Answers

Example Answer:

You could represent a round trip to Los Angeles with the variable: x

You could represent the number of miles in a round trip to Los Angeles with the variable: a

You could represent a round trip to San Diego with the variable: y

You could represent the number of miles in a round trip to San Diego with the variable: b

your equation would be: xa + yb

Factoring in what we know, the example equation would be:

5a + yb

How many 1/3 1b. portions can you get out of a 6 2/3 bag of nuts?help me pls

Answers

Answer:

20

Step-by-step explanation:

Divide 6 2/3 by 1/3

Answer:

I think the answer would be 20

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