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Gnesinka [82]
3 years ago
14

a scale drawing of a building needs to be made using the scale 1 in = 190 ft. how tall will the builging in the scale drawing be

if the building is 570 ft tall​
Mathematics
1 answer:
Artist 52 [7]3 years ago
3 0

Answer:

\boxed{\text{3 in}}

Step-by-step explanation:

1 in = 190 ft

x in = 570 ft

We can use ratio and proportion to solve this problem.

\begin{array}{cccl}\dfrac{1}{x} & = & \dfrac{190}{570} & \\\\570 & = & 190x & \text{Mutiplied by lowest common denominator (570x)}\\3 & = & x & \text{Divided each side by 3}\\\end{array}

The building will be \boxed{\textbf{3 in}} tall in the scale drawing.

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Nat2105 [25]

Answer:

1. Andrew grew 4 5/12 inches in 2 years

2. Abbey rode her bike for 3 3/8 hours in 2 days.

Step-by-step explanation:

When adding fractions you must have a common denominator for both of them.

First make the mixed fraction, improper fractions.

1 3/4 = 7/4

2 2/3 = 8/3

7/4 x 3/3 = 21/12

8/3 x 4/4 = 32/12

21 + 32 = 53

53/12 = 4 5/12

1 3/4 = 7/4

1 5/8 = 13/8

7/4 x 4/4 = 28/16

13/8 x 2/2 = 26/16

26 + 28 = 54

54/16 = 3 3/8

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

5 0
3 years ago
A Woman Leaves Home And Walks 3 Mi. West, And Then 2 Mi. South. What Is The Magnitude Of Her Displacement, and what direction mu
mojhsa [17]

Answer: 4 Mi Northeast

Step-by-step explanation:

  • west points left on a compass, and x points left on a graph so the value becomes x ⇒ ( 3x )
  • south points down on a compass, and y points down on a graph so the value becomes y ⇒ ( 2y )

Equation: V=3x +2 y

Solving Steps:

1. take the sum of the square of each vector component

3^2 + 2^2 = 9 + 4 = 13

2. take the square root of the result from from the last step

\sqrt{13}=3.60555127546

3. round to nearest whole number as told in your question

60555127546 ⇒ 4

4. find direction to go with number

- opposite of west is east

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ans = 4 Mi Northeast

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5 0
2 years ago
Ken invests 6,000 into two accounts one account earns 8% interest and the other earns 12% interest after one year his total inte
Len [333]

Answer: ken invested $3500 in the 8% account.

Step-by-step explanation:

Let x represent the amount invested in the account earning 8% interest.

Let y represent the amount invested in the account earning 12% interest.

Ken invests 6,000 into two accounts one account earns 8% interest and the other earns 12% interest. This means that

x + y = 6000

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time in years

I = interest after t years

Considering the account earning 8%

I = (x × 8 × 1)/100 = 0.08x

Considering the account earning 12%

I = (y × 12 × 1)/100 = 0.12y

After one year, his total interest earned from the two accounts totaled $580 . This means that

0.08x + 0.12y = 580 - - - - - - - - - - 1

Substituting x = 6000 - y into equation 1, it becomes

0.08(6000 - y) + 0.12y = 580

480 - 0.08y + 0.12y = 580

- 0.08y + 0.12y = 580 - 480

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7 0
3 years ago
Pls help ????????????
yulyashka [42]

Answer:

let the missing values be a , b , c ,d and e

So the mean of these values is $ 2225

<em>(a + b + c + d + e + 1900 + 2300 + 3000)/8 = 2225</em>

<em>a + b + c + d + e + 7200 = 2225*8</em>

<em>a + b + c + d + e = 17800 - 7200</em>

a + b + c + d + e = 10600 -------------------- let this be our first equation

Since the range is 3000 and the data is already in increasing order:

3000 - a = 2100

a = $ 900 --------- one down, 4 to go

Now lets get another equation through Median:

So the median value is 2450, since median is the middle value when the given set is written in increasing or decreasing order

since we are already given the increasing order of the numbers, we will make use of that

So, since there is no middle number since there are even amount of numbers, the average of the 2 mid numbers will be the Median

so, (2300 + c)/2 =  2450

2300 + c = 4900

c = $ 2600 ---------------------- two down, 3 to go

Now we will try to get another equation through mode

We are given that the mode of the numbers is 2900

we will take some help from the first equation for this part

a + b + c + d + e = 10600

900 + 2600 + b + d + e = 10600

b + d + e = 10600 - 3500

b + d + e = 7100

Since the mode is 2900, lets check if b + d + e = 3 (2900) since that would mean that 2900 is repeated 3 times

b + d + e = 2.45(2900)

since b + d + e is 2.45 times 2900 and 2900 is the most repeated number,

we can say that 2 of the 3 values is 2900

so,

2900 + 2900 + b = 7100

e = 7100 - 5800

e = $ 1300

so the complete list is: 900 , 1300 , 1900 , 2300 , 2600 , 2900 , 2900 , 3000

3 0
3 years ago
TRY Understand<br> -----------------<br> 2
Lynna [10]

Answer:

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7 0
2 years ago
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