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NNADVOKAT [17]
3 years ago
6

If we know the scale factor between two sides of similar figures will it be possible to find the area and volumescale factors wi

thout finding their area and volume? why or why not
Mathematics
1 answer:
vlabodo [156]3 years ago
3 0

Answer:

it is possible

Step-by-step explanation:

if you know the scale factors,,,its like knowing their sides hence can find their volumes

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What is the area of this polygon?
elena55 [62]
A= 192 cm squared
Why?
17 x 10= 170
4 x 11= 44
44 divided by 2 =22
170+ 22= 192 cm squared
3 0
2 years ago
Read 2 more answers
What is the factorization of the polynomial below? -x^2-15x-54
amid [387]
To factor a polynomial we need to find 2 numbers that add up to -15 and multiply into -54.
(-x -18)(x +3) Will be your answer.
8 0
3 years ago
A company that rents small moving trucks wants to purchase 25 trucks with a combined capacity of 28,000 cubic feet. Three differ
pickupchik [31]

Answer:

We have 4 solutions:

  • No 10-foot truck, 10  14-foot trucks, and 15 24-foot trucks
  • 2 10-foot trucks, 7 14-foot trucks, and 16 24-foot trucks
  • 4 10-foot trucks, 4  14-foot trucks, and 17 24-foot trucks
  • 6 10-foot trucks, 1 14-foot trucks, and 18 24-foot trucks

Step-by-step explanation:

Let the number of 10-foot truck with a capacity of 350 cubic feet purchased=a

Let the number of 14-foot truck with a capacity of 700 cubic feet purchased=b

Let the number of 24-foot truck with a capacity of 1,400 cubic feet purchased=c

The company wants to purchase 25 trucks, therefore.

  • a+b+c=25

Furthermore, the combined capacity of the trucks is 28,000 cubic feet.

  • 350a+700b+1400c=28000

Since the number of equations is less than the number of variables, you can not use a matrix equation to solve this problem.  The solution is most easily found using an augmented matrix.  

The augmented matrix is presented below:  

\left[\begin{array}{ccc|c}1&1&1&25\\350&700&1400&28000\end{array}\right]

Using the calculator, the reduced row echelon form is:

\left[\begin{array}{ccc|c}1&0&-2&-30\\0&1&3&55\end{array}\right]

where  

a- 2c=-30 means a =2c-30

b+3c=55 means b= 55-3c

We alter the value of c as long as neither a nor b becomes negative. Suitable values for c are 15, 16, 17, and 18:

\left|\begin{array}{|c||c||c|}a=2c-30&b=55-3c&c\\0&10&15\\2&7&16\\4&4&17\\6&1&18\end{array}\right|

We can easily  verify that, for each solution, the number of trucks adds up to 25 and the fleet capacity is 28,000 cubic feet.

We therefore have 4 solutions:

  • No 10-foot truck, 10  14-foot trucks, and 15 24-foot trucks
  • 2 10-foot trucks, 7 14-foot trucks, and 16 24-foot trucks
  • 4 10-foot trucks, 4  14-foot trucks, and 17 24-foot trucks
  • 6 10-foot trucks, 1 14-foot trucks, and 18 24-foot trucks
4 0
3 years ago
Why is (8+5)/25 irrational
laiz [17]

(8+5)/25 is rational. It simplifies down to a rational decimal.

(8+5/25)
13/25
0.52

3 0
8 months ago
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Dorado County, which has a population of about 6,720, is divided into 4 townships. About 1/4
Ostrovityanka [42]
Density of population = total population / area of the township

Emerson township:
Population of Emerson = 6720 * (1/4)
= 1680
Density of population = 1680 /344
= 5 per square miles

Franco township:
30% of 1680 = 0.3 * 1680 = 504
Population = 1680 + 504
= 2184
Density = 2184/512
= 4 per square mile
8 0
2 years ago
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