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Volgvan
2 years ago
7

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
<h3>Note that:</h3>
  • w: width
  • h: height
  • l: length
<h3>To find:</h3>
  • 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}}

<u>Hence</u><u>,</u><u> </u><u>the</u><u> </u><u>volume</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>given</u><u> </u><u>triangular</u><u> </u><u>prism</u><u> </u><u>is</u><u> </u><u>1</u><u>8</u><u>0</u><u> </u><u>cubic</u><u> </u><u>units</u><u>.</u>

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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<br><br> 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]
<span>y=4x-6
y=-4x+48
</span>4x-6= -4x+48
<span>0x=54
x=o</span>
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
Read 2 more answers
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