All categories

3 years ago

What is AE? Answer in units.

Mathematics

1 answer:

mr Goodwill [35]3 years ago

3 0

Answer:

Step-by-step explanation:

∆EAB~∆EDC(AAA SIMILARITY CRITERION)

AE/DE=AB=DC

2x+10/x+3=10/4

x+5/x+3=5/4

4x+20=5x+15

5=x

AE=2x+10

AE=20units

You might be interested in

A manufacturer needs to pay $300 to start making a certain new product. Besides the initial costs of $300, this product will als

maw [93]

Answer:

$\displaystyle \frac{300+18x}{x}\le 24$

Step-by-step explanation:

<u>Average Cost</u>

Making a certain new product costs $300 plus $18 per product.

The total cost for x products is given by:

300 + 18x

To get the average cost, we divide the total cost by the number of products manufactured:

$\displaystyle A=\frac{300+18x}{x}$

If the manufacturer wants to keep the average cost at $24 or less:

$\mathbf{\displaystyle \frac{300+18x}{x}\le 24}$

This is the required inequality

6 0

3 years ago

Drag each tile to the correct box

ValentinkaMS [17]

Answer:

Arranging the solutions from the least to the highest;

1. 1.743 x 10⁻²

2. 3.626 x 10⁻²

3. 4.64 x 10⁻²

4. 3.162 x 10²

5. 4.214 x 10³

Step-by-step explanation:

The solutions of the mathematical expression are calculated as follows;

$1. \ \ (4.3\times 10^6)(9.8\times 10^{-4}) = (4.3\times 9.8\times 10^{6-4}) = (42.14\times 10^2)= 4.214 \times 10^3$

$2. \ \ (2.9\times 10^7)(1.6\times 10^{-9}) = (2.9\times 1.6\times 10^{7-9}) = 4.64\times 10^{-2}$

$3. \ \ \frac{(4.7 \times 10^3)(8.6\times 10^{-7})}{(3.8\times 10^{-4})(6.1 \times 10^2)} = \frac{(4.7\times 8.6\times 10^{3-7})}{(3.8\times 6.1\times 10^{-4+2})} = \frac{4.042 \times 10^{-3}}{2.318\times 10^{-1}} = 1.743\times 10^{-2}$

$4. \ \ (4.9\times 10^3)(7.4\times 10^{-6}) = (4.9\times 7.4\times 10^{3-6}) = 3.626\times 10^{-2}$

$5. \ \ \frac{(3.9 \times 10^5)(8.7\times 10^{-3})}{(3.7\times 10^{-5})(2.9 \times 10^8)} = \frac{(3.9\times 8.7\times 10^{5-3})}{(3.7\times 2.9\times 10^{-4 +8 })} = \frac{3.393 \times 10^{-1}}{1.073\times 10^{-3}} = 3.162\times 10^{2}$

Arranging the solutions from the least to the highest;

1. 1.743 x 10⁻²

2. 3.626 x 10⁻²

3. 4.64 x 10⁻²

4. 3.162 x 10²

5. 4.214 x 10³

4 0

3 years ago

Read 2 more answers

3x^2-18x+24 find factor

Tema [17]

3x^2-18x+24
3(x^2-6x+8)
3(x-4)(x-2)

3 0

3 years ago

243.875 to nearest tenth, hundredth, ten, and hundred

IgorC [24]

243.875 to the nearest tenth = 243.9
243.875 to the nearest hundredth = 243.88
243.875 to the nearest ten = 240
243.875 to the nearest hundred = 200
This number is going to be a little bit trickier. The basic law of rounding is that is the number is less than 5, it is going to stay the same. If the number is greater than or equal to 5 then it rounds up to the next number.

8 0

3 years ago

Someone grew an average of 0.5 cm per month last year. How many inches did they grow in a year.

ivolga24 [154]

One inch is equivalent to 2.54 centimeters. if they grew .5(12)=6 cm then you would.divide six by 2.54 and get approximately 2.36inches

6 0

3 years ago