Ask question

Ask question

All categories

3 years ago

13

What type of triangle is a 45-45-90 triangle?

2 answers:

Lelu [443]3 years ago

7 0

The answers are 3. right, and 5. isosceles. It is a right triangle because any triangle with a 90 degree angle is a right triangle, and it is isosceles because its two other angles, 45 and 45 degrees, are equal, meaning that their legs are the equal length as well.

Fofino [41]3 years ago

6 0

3. Right
5. Isosceles

Isosceles triangles have 2 sides measuring the same length and a right triangle contains a 90 degree angle

You might be interested in

For which system of equations is (-2,2)

nikklg [1K]

Answer:

A

Step-by-step explanation:

4 0

3 years ago

Part A: Create a third-degree polynomial in standard form. How do you know it is in standard form? (5 points)

Svetlanka [38]

Answer:

(See explanation for further details)

Step-by-step explanation:

a) Let consider the polynomial $p(x) = 5\cdot x^{3} +2\cdot x^{2} - 6 \cdot x +17$ . The polynomial is in standards when has the form $p(x) = \Sigma \limit_{i=0}^{n} \,a_{i}\cdot x^{i}$ , where $n$ is the order of the polynomial. The example has the following information:

$n = 3$ , $a_{0} = 17$ , $a_{1} = -6$ , $a_{2} = 2$ , $a_{3} = 5$ .

b) The closure property means that polynomials must be closed with respect to addition and multiplication, which is demonstrated hereafter:

Closure with respect to addition:

Let consider polynomials $p_{1}$ and $p_{2}$ such that:

$p_{1} = \Sigma \limits_{i=0}^{m} \,a_{i}\cdot x^{i}$ and $p_{2} = \Sigma \limits_{i=0}^{n}\,b_{i}\cdot x^{i}$ , where $m \geq n$

$p_{1}+p_{2} = \Sigma \limits_{i=0}^{n}\,(a_{i}+b_{i})\cdot x^{i} + \Sigma_{i=n+1}^{m}\,a_{i} \cdot x^{i}$

Hence, polynomials are closed with respect to addition.

Closure with respect to multiplication:

Let be $p_{1}$ a polynomial such that:

$p_{1} = \Sigma \limits_{i=0}^{m} \,a_{i}\cdot x^{i}$

And $\alpha$ an scalar. If the polynomial is multiplied by the scalar number, then:

$\alpha \cdot p_{1} = \alpha \cdot \Sigma \limits_{i = 0}^{m}\,a_{i}\cdot x^{i}$

Lastly, the following expression is constructed by distributive property:

$\alpha \cdot p_{1} = \Sigma \limits_{i=0}^{m}\,(\alpha\cdot a_{i})\cdot x^{i}$

Hence, polynomials are closed with respect to multiplication.

4 0

3 years ago

A dice is rolled 4 times. What is the probability of showing a 6 on every roll?

Oliga [24]

Answer:

1/6

Step-by-step explanation:

If the dice is rolled 4 times than the probability you will roll a 6 is 1/6 since there are only six numbers

3 0

3 years ago

Is 4/3 and 8/6 a proportion

Alexus [3.1K]

Answer:

yes

Step-by-step explanation:

If you divide one into the other and the answer is 1 then they are of the same ratio.

6 0

3 years ago

Read 2 more answers

What is the product?

Kazeer [188]

Answer:

2) -81t² +16

Step-by-step explanation:

(9t -4)(-9t -4) = (9t x -9t) + (9t x -4) + (-4 x -9t) + (-4 x -4)

= -81t² - 36t + 36t + 16

= -81t² + 16

4 0

3 years ago

Read 2 more answers