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3 years ago

4/12 + 1/4 =5/12 + 1/4 =

Mathematics

2 answers:

Rufina [12.5K]3 years ago

7 0

Answer: 4/12 + 1/4 = 7/12 5/12 + 1/4 = 2/3

Step-by-step explanation:

7nadin3 [17]3 years ago

5 0

Answer:

1= $\frac{7}{12}$

2= $\frac{2}{3}$

Step-by-step explanation:

1- $\frac{4}{12}$ + $\frac{1 x3}{4x3}$ = $\frac{4}{12}$ + $\frac{3}{12}$ = $\frac{4+3}{12}=\frac{7}{12}$

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Vlada [557]

Product of polynomials can be done by using distributive property of multiplication over addition. The needed product is: Option

<h3>What is distributive property of multiplication over addition?</h3>

Suppose a, b and c are three numbers. Then we have:

$a(b + c) = a\times b + a\times c$

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

<h3>What are like terms?</h3>

Those terms which have same variables raised with same powers.

For example, $5x^3$ and $x^3$ are like terms since variable is same, and it is raised to same power 3.

For example $x^3$ and $4x^4$ are not like terms as the variables are same but powers aren't same.

For the given case, the expression is $2x^4(3x^2 +4x +1)$

Using the distributive property of multiplication over addition, we get the product result as:

$2x^4(3x^2 +4x +1) = 6x^{4+2} + 8x^{4+1} + 2x^4 = 6x^6 + 8x^5 + 2x^4$

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Learn more about product of polynomials here:

brainly.com/question/9106484

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3 years ago

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AleksandrR [38]

30° and 60°.

<h3>Further explanation</h3>

We will solve the problem of the measures of angles in the triangle.

Recall this condition:

The acute angle ⇒ an angle of less than 90°.
The right angle ⇒ an angle of exactly 90°.
A right triangle ⇒ a triangle in which one angle is a right angle.
The interior angles ⇒ the angles inside a triangle.
All the interior angles in a triangle , i.e., $\boxed{ \ \angle A + \angle B + \angle C = 180^0 \ }$

<u>Given that:</u>

The ratio of the measure of the acute angle in a right triangle is ¹/₂.

<u>Question:</u>

Find the measures of the two angles.

<u>The Process:</u>

We call it the triangle ABC. An interior angle inside is a right angle, e.g., ∠A = 90°.

From the ratio of two other acute angles, i.e., 1: 2, we call it ∠B = x and ∠C = 2x.

Let's arrange the three angles in ABC triangle as follows:

$\boxed{ \ 90^0 + x + 2x = 180^0 \ }$

Both sides subtracted by 90°.

$\boxed{ \ x + 2x = 180^0 - 90^0 \ }$

$\boxed{ \ 3x = 90^0 \ }$

Both sides divided by 3.

We get $\boxed{ \ x = 30^0 \ }$

We substitute the value of x back into B and C.

$\boxed{\boxed{ \ \angle B = x\ } \rightarrow \boxed{ \ \angle B = 30^0 \ }} \\\boxed{\boxed{ \ \angle C = 2x\ } \rightarrow \boxed{ \ \angle C = 60^0 \ }}$