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3 years ago

In a 30-60-90 degree right triangle, the side opposite the 30-degree angle is

Mathematics

1 answer:

Afina-wow [57]3 years ago

6 0

Answer:

It is the short leg.

Step-by-step explanation:

The triangle and is called a right triangle and the side opposite the 30-degree angle is the shorter leg

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Which polynomial can be simplified to a difference of squares

Mrrafil [7]

<h2>Hello!</h2>

The answer is:

The polynomial that can be simplified to a difference of squares is the second polynomial:

$16a^{2}-4a+4a-1=16a^{2}=(4a)^{2}-(1)^{2}=(4-1)(4+1)$

To solve this problem, we need to look for which of the given quadratic terms given for the different polynomials can be a result of squaring (elevating by two).

So,

Discarding, we have:

The quadratic terms of the given polynomials are:

$First=10a^{2}$

$Second=16a^{2}$

$Third=25a^{2}$

$Fourth=24a^{2}$

We have that the coefficients of the quadratic terms that can be obtained by squaring are:

$16a^{2} =(4a)^{2} \\\\25a^{2} =(5a)^{2}$

The other two coefficients are not perfect squares since they can not be obtained by square rooting whole numbers.

So, the first and the fourth polynomial are discarded and cannot be simplified to a difference of squares at least using whole numbers.

Therefore, we need to work with the second and the third polynomial.

For the second polynomial, we have:

$16a^{2} -4a+4a-1=16a^{2}=(4a)^{2}-(1)^{2} =(4-1)(4+1)$

So, the second polynomial can be simplified to a difference of squares.

For the third polynomial, we have:

$25a^{2} +6a-6a+36=16a^{2}+36=(5a)^{2}+(6)^{2}$

So, the third polynomial cannot be simplified to a difference of squares since it's a sum of squares.

Hence, the polynomial that can be simplified to a difference of squares is the second polynomial:

$16a^{2}-4a+4a-1=16a^{2}=(4a)^{2}-(1)^{2}$

7 0

3 years ago

Read 2 more answers

Explain number 5 please

Burka [1]

The answer to your question would be B.
I hope this helped:D

7 0

3 years ago

What is the classification of the following triangle. scalene, isosceles, or right

Minchanka [31]

Answer:

scalene!!!

Step-by-step explanation:

6 0

3 years ago

What is the solution of this equation x + 6 =24

lawyer [7]

If you are looking for x then it is X = 18

3 0

3 years ago

Read 2 more answers

omar will donate up to $500 to charity. the money will be divided between two charities: the city of youth fund and educational

marshall27 [118]

Answer:

Please refer to the attached graph

Step-by-step explanation:

Knowing the following:

X = amount of money donated to the city youth fund

Y = amount of money donated to the educational growth foundation

We can write the statements in form of equations:

"Will donate up to $500, the money will be divided between two charities"

(a) $X + Y = \$ 500$

"The amount donated to the educational growth foundation to be at least four times the amount donated to the city youth fund"

(b) $Y \geq 4X$

If we graph both equations we can see the area where both conditions are met (see graph attached)

Where the blue line is (a) and the red line is (b)

Shaded area represent all the possible solutions for the donations, for example:

X=100 and Y=400 or

X=50 and Y=200, etc.

6 0

2 years ago