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BlackZzzverrR [31]
3 years ago
6

8. John measured the diameter of four steel rods. Compare his measurements below. Which one is the

Mathematics
1 answer:
mylen [45]3 years ago
8 0
8)
B. 0.25 inches

9)
A. $438.81
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Simplify <br> −5x^4(−3x^2+4x−2)
malfutka [58]
112 me dió a eso mira haber si es si no trate.
6 0
3 years ago
Which equation can be used to calculate the surface area of the triangular prism net show below? The net of a rectangular prism.
gizmo_the_mogwai [7]

The  13\times10+12\times10+5\times10+\rm \frac{1}{2} \times 5 \times12+\rm \frac{1}{2} \times 5 \times12  equation can be used to calculate the surface area of the triangular prism.

It is given that the triangular prism net showing in the figure with dimensions.

It is required to find which equation can be used to find the surface area of the triangular prism net.

<h3>What is surface area?</h3>

It is defined as the area of 3-dimensional geometry surfaces area sum which is occupying the outer area of the object.

We know the area of a rectangle = length × width

Area of the top rectangle = 13×10

Area of the middle rectangle = 12×10

Area of bottom rectangle=  5×10

The formula for finding the area of a triangle:

\rm A=\frac{1}{2} \times bh

Area of right triangle = \rm \frac{1}{2} \times 5 \times12

Area of left triangle = \rm \frac{1}{2} \times 5 \times12

The surface area = Area of top+ Area of middle+ Area of bottom+ Area of    

                                a right triangle+ Area of the left triangle  

=13\times10+12\times10+5\times10+\rm \frac{1}{2} \times 5 \times12+\rm \frac{1}{2} \times 5 \times12

Thus, the 13\times10+12\times10+5\times10+\rm \frac{1}{2} \times 5 \times12+\rm \frac{1}{2} \times 5 \times12  equation can be used to calculate the surface area of the triangular prism.

Learn more about the surface area here:

brainly.com/question/1196953

3 0
3 years ago
Find the zeros of the following equation. x² + 6x = -9
blondinia [14]
<span>x² + 6x = -9
</span><span>x² + 6x + 9 = 0
</span><span>
(x + 3)(x + 3) = 0

x =  -3
</span>
4 0
3 years ago
What is factorisation ​
liubo4ka [24]

Factorization is a method of writing numbers as the product of their factors or divisors.

<em><u>Solution:</u></em>

<em><u>Factorisation:</u></em>

Factorization is a method of writing numbers as the product of their factors or divisors.

In other words we can say, Finding what to multiply together to get an expression.

It is like "splitting" an expression into a multiplication of simpler expressions.

<em><u>Methods of factorisation:</u></em>

  • Factoring out the GCF
  • The sum-product pattern
  • The grouping method
  • The perfect square trinomial pattern
  • The difference of squares pattern

<em><u>Factoring out the GCF:</u></em>

This methods means that factoring out common factors

For example:

12x^2 + 3x = 3x(4x + 1)

This can be used when each term in given expression shares a common factor

<em><u>The sum-product pattern</u></em>

A quadratic equation may be expressed as a product of two binomials

For example:

x^2 + 7x + 12 = (x + 3)(x + 4)

This method can be used for quadratic equations of form ax^2 + bx + c = 0

<em><u>The grouping method</u></em>

If the polynomial is of the form  ax^2 + bx + c and there are factors of ac that add up to b , we can use this method

For example:

2x^2 + 7x + 3\\\\2x^2 + 6x + 1x + 3\\\\2x(x + 3) + 1(x + 3)\\\\(x + 3)(2x + 1)

<em><u>The perfect square trinomial pattern</u></em>

If the first and last terms are perfect squares and the middle term is twice the product of their square roots , we can use this method

For example:

x^2 + 10x + 25\\\\(x + 5)^2

<em><u>The difference of squares pattern</u></em>

If the expression represents a difference of squares, we can use this method

Because a^2 - b^2 = (a + b)(a - b)

For example:

x^2 - 25\\\\x^2 - 5^2\\\\(x + 5)(x - 5)

6 0
4 years ago
the hypotenuse of a right triangle is 15 cm and the shorter leg is 9cm find the length of the other leg
vladimir2022 [97]

Answer:


Step-by-step explanation:


3 0
3 years ago
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