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2 years ago

Please asapmathematics

Mathematics

2 answers:

WITCHER [35]2 years ago

5 0

1/2×6×6×10

=180 units^3

hope this helps

Mnenie [13.5K]2 years ago

3 0

<h3>Given:</h3>

w= 6 units
h= 6 units
l= 10 units

w: width
h: height
l: length

The volume of the given triangular prism.

<h3>Solution:</h3>

Triangular prism is a 3 sided prism with same area of cross section with 2 triangular bases.

$\large\boxed{Formula: V= \frac{wl}{2}×h}$

Let's solve!

First, let's multiply width and height.

$6×6$

$= 36$

Now, we'll have to divide the answer by 2.

$\frac{36}{2}$

$= 18$

Then, multiply the answer by length.

$18×10$

$\large\boxed{V= 180 \: {units}^{3}}$

Hence, the volume of the given triangular prism is 180 cubic units.

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Using the Factor Theorem, which of the polynomial functions has the zeros 2, radical 3 , and negative radical 3 ?

Alja [10]

Using the factor theorem, it is found that the polynomial is:

$f(x) = x^3 - 2x^2 - 3x + 6$

Given by the first option

---------------------------

Given a polynomial f(x), this polynomial has roots $x_{1}, x_{2}, x_{n}$ using the factor theorem it can be written as: $a(x - x_{1})*(x - x_{2})*...*(x-x_n)$ , in which a is the leading coefficient.

---------------------------

In this question:

$x_1 = 2$
$x_2 = \sqrt{3}$
$x_3 = -\sqrt{3}$
By the options, leading coefficient $a = 1$

Thus:

$f(x) = (x - 2)(x - \sqrt{3})(x + \sqrt{3})$

$f(x) = (x - 2)(x^2 - 3)$

$f(x) = x^3 -2x^2 - 3x + 6$

Which is the polynomial.

A similar problem is given that: brainly.com/question/4786502

5 0

3 years ago

Simplify (-2x^3)^2·y·y^9 -4x^6y^8 -4x^4y^8 4x^6y^10 -4x^4y^10 Answer: 4x^6y^10

Veseljchak [2.6K]

I don’t know I want points

7 0

3 years ago

GET BRAINLIEST FOR THE CORRECT ANSWER AND EXPLANATION!

Tresset [83]

Interpreting the inequality, it is found that the correct option is given by F.

------------------

The first equation is of the line.
The equal sign is present in the inequality, which means that the line is not dashed, which removes option G.

In standard form, the equation of the line is:

$x + 2y = 6$

$2y = 6 - x$

$y = -0.5x + 2$

Thus it is a decreasing line, which removes options J.

We are interested in the region on the plane below the line, that is, less than the line, which removes option H.

------------------

As for the second equation, the normalized equation is:

$3x^2 + 3y^2 = 12$

$3(x^2 + y^2) = 12$

$x^2 + y^2 = 4$

Thus, a circle centered at the origin and with radius 2.
Now, we have to check if the line $x + 2y - 6 = 0$ , with coefficients $a = 1, b = 2, c = -6$ , intersects the circle, of centre $x = 0, y = 0$
First, we find the following distance:

$d = \sqrt{\frac{|ax + by + c|}{a^2 + b^2}}$

Considering the coefficients of the line and the center of the circle.

$d = \sqrt{\frac{|1(0) + 2(0) - 6|}{1^2 + 2^2}} = \sqrt{\frac{6}{5}} = 1.1$

This distance is less than the radius, thus, the line intersects the circle, which removes option K, and states that the correct option is given by F.

A similar problem is given at brainly.com/question/16505684

3 0

3 years ago

Find the value of x in the solution to the system of equations shown.

ale4655 [162]

y=4x-6
y=-4x+48
4x-6= -4x+48
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x=o

8 0

4 years ago

Mr. Nelson is buying property in the shape of a triangle to build a new house. If the property costs $42.50 per square foot, how

julsineya [31]

First, you find the area of the figure. Use the formula a=h(b/2)

a=h(b/2)
a=47(98/2)
a=47(49)
a=2303

Now, you multiply that by $42.50 to find out how much he will pay.

2,303x42.50=97,877.50.

He will pay $97,877.50.

5 0

3 years ago

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Please asapmathematics