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3 years ago

For the following right triangle find the side length x

Mathematics

1 answer:

laila [671]3 years ago

5 0

Answer:

x= 37

Step-by-step explanation:

$12^2+35^2=x^2\\144+1225= x^2\\1369=x^2\\\sqrt{1369} =\sqrt{x^2} \\x= 37$

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(8m-3n)^2 - (4m+3n)^2

natulia [17]

Answer:

$48m^2-72mn$

Step-by-step explanation:

We need to solve $(8m-3n)^2 - (4m+3n)^2$

We know that,

$(a+b)^2=a^2+b^2+2ab\\\\(a-b)^2=a^2+b^2-2ab$

Using the above formula,

$(8m-3n)^2 - (4m+3n)^2=(8m)^2+(3n)^2-2(8m)(3n)-[(4m)^2+(3n)^2+2(4m)(3n)]\\\\=64m^2+9n^2-48mn-(16m^2+9n^2+24mn)\\\\=64m^2+9n^2-48mn-16m^2-9n^2-24mn\\\\=48m^2-48mn-24mn\\\\=48m^2-72mn$

So, the final answer is $48m^2-72mn$ .

4 0

3 years ago

39.2 is what percent p of 112

madam [21]

39.2 is what percent p of 112

39.2/112

39.2 ÷ 112 = 0.35

Convert to percent:-

0.35 × 100 = 35
35%

3.92 is 35% of 112.

3 0

4 years ago

The volume of a rectangular prism is 6x3 + 25x2 + 21x − 10. The length of the prism is 2x + 5. The width of the prism is 3x − 1.

aev [14]

Expression for the height of the prism is x + 2

Solution:

Given that,

$Volume\ of\ a\ rectangular\ prism = 6x^3+25x^2 + 21x - 10$

$Length\ of\ prism = 2x + 5$

$Width\ of\ prism = 3x-1$

To find: height of prism

The volume of rectangular prism is given by formula:

$Volume = length \times width \times height$

Solving for height we get,

$height = \frac{volume}{length \times width}$

Substituting the values we get,

$height = \frac{6x^3+25x^2+21x-10}{(2x+5)(3x-1)}$

Factor the numerator

$height = \frac{(x+2)(3x-1)(2x+5)}{(2x+5)(3x-1)}$

Cancel the common factors,

$height = x + 2$

Thus expression for the height of the prism is x + 2

5 0

3 years ago

A Cadillac Escalade is 16 ft. long. The engineers are trying to create a model by using a scale of 1 inch of the model correspon

lord [1]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

What is the gcf of 64 and 16

Naily [24]

The gcf of 64 and 16 is16

6 0

3 years ago