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MAVERICK [17]
1 year ago
13

What will the new demensions of the rectangle below be after a dilation within scale factor of 9\4

Mathematics
1 answer:
timurjin [86]1 year ago
3 0

Answer

The new dimensions of the rectangle after dilation by scale factor of (9/4) include

New length = 72 feet

New width = 18 feet

Explanation

The relationship between new length, original length and scale factor of dilation is given as

New length = (Original length) × (Scale factor)

For this question,

Scale factor = (9/4)

Original length = 32 feet

New length = (Original length) × (Scale factor)

New length = 32 × (9/4) = 72 feet

New width = (Original width) × (Scale factor)

Original width = 8 feet

Scale factor = (9/4)

New width = (Original width) × (Scale factor)

New width = 8 × (9/4) = 18 feet

Hope this Helps!!!

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The sum of two numbers is 18 the sum of greater numbers and twice the smaller numbers is 25 the numbers
Gnoma [55]

Answer:

  the numbers are 7 and 11

Step-by-step explanation:

If you add the smaller to the sum of numbers, you have the sum of the greater and twice the smaller. That is ...

  18 + smaller = 25

  smaller = 25 -18 = 7

  larger = 18 -7 = 11

The two numbers are 7 and 11.

_____

If you like, you can write two equations. Let x and y represent the smaller and larger numbers, respectively.

  x + y = 18

  2x + y = 25

Subtract the first equation from the second:

  (2x +y) -(x +y) = (25) -(18)

  x = 7

  y = 18-x = 18-7 = 11

The numbers are 7 and 11.

7 0
3 years ago
Ian puts 300.00 into an account to use for school expenses the account earns 6%interest compounded annually how much will be in
romanna [79]

This problem is about componded interest. The formula for compounded interest is:

\begin{gathered} \text{Amount}=\text{Initial}\cdot(1+r)^t \\ \text{Where,} \\ \text{Amount is the total acumulative at time t.} \\ \text{Initial is the initial amount, at t=0} \\ r\text{ is the interest in decimal number.} \\ t\text{ is the time accordingly the interest, in this case is in years.} \end{gathered}

In this case, Initial = 300, r = 0.06 and t=10 so the total amount in the account after 10 years is:

\begin{gathered} \text{Amount}=300\cdot(1+0.06)^{10} \\ \text{Amount}=300\cdot1.06^{10} \\ \text{Amount}=300\cdot1.79085 \\ \text{Amount}=537.255 \end{gathered}

The amount after 10 years is 573.26.

4 0
1 year ago
5929×2959-300+900=________
miskamm [114]

Answer:17,544,511

Step-by-step explanation: 5929 x 2959= 17,543,911

17,543,911-300= 17,543,611

17,543,611 + 900 = 17,544,511

4 0
3 years ago
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What is the population variance for 138, 151, 169, 142, 176, 155, 132, 177
ruslelena [56]

Answer:

265.50000

Step-by-step explanation:

3 0
2 years ago
Help me pleaseeeeee I need to pass summer school
GalinKa [24]

Answer:

3(6) -1

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 2(6)+1

Step-by-step explanation:

first find r(6)

r(6) =3(6) -1

      = 18 -1

Then find s(6)

s(6) = 2(6)+1

Then divide

r(6)/s(6) = 3(6) -1

               ------------

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6 0
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