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3 years ago

How many diagonals can be drawn in the shape below? 7 8 9 10

Mathematics

2 answers:

lyudmila [28]3 years ago

6 0

2 from top left corner to bottom right corner and bottom left to top right.
2 from bottom right to middle left and middle right to bottom left.
2 from top left to middle right and middle left top top right.
4 from bottom right to middle right and bottom left to middle left and top left to middle left and top right top middle right

2 + 2 + 2 = 6
or
2 x 3 = 6

6 + 4 =10

your answer is 10

stepladder [879]3 years ago

3 0

You can make 8 triangles from this shape.

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3 years ago

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vivado [14]

Answer:

Step-by-step explanation:

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5 0

3 years ago

Select all polynomial expressions that are equivalent to 6x^4 + 4x^3 – 7x^2 + 5x + 8.

Svetach [21]

Answer:

C and E

Step-by-step explanation:

Given

$Polynomial: 6x^4 + 4x^3 - 7x^2 + 5x + 8.$

Required

Select all equivalent polynomial

Scanning through the given options;

$A:\ 16x^{10}$

This is not equivalent because the degree of the polynomial begins from 10.

$B: 6x^5+ 4x^4 - 7x^3 +5x^2+ 8x$

This is not equivalent because the degree of the polynomial begins from 5.

$C: 6x^4+ 4x^3 - 7x^2 + 5x + 8$

Compare this to the given polynomial; They are equivalent

$Polynomial: 6x^4 + 4x^3 - 7x^2 + 5x + 8.$

$D: 8 + 5x + 7x^2 - 4x^3+ 6x^4$

Reorder

$D:\ 6x^4- 4x^3+ 7x^2+ 5x +8$

Compare this to the given polynomial; They are not equivalent because of the difference in sign in front of $7x^2$

$E:\ 8 + 5x - 7x\² + 4x^3+ 6x^4$

Reorder

$Polynomial: 6x^4 + 4x^3 - 7x^2 + 5x + 8.$

Compare this to the given polynomial; They are equivalent

$Polynomial: 6x^4 + 4x^3 - 7x^2 + 5x + 8.$

Hence:

Option C and E answers the question

4 0

3 years ago

The net of an isosceles triangular prism is shown. What is the surface area, in square units, of the triangular prism?

Stells [14]

Here, the surface area, in square units, of the triangular prism is 152 units².

We know that the area of any triangle can be calculated as

Area = 1/2 * base * height

The area of any rectangular figure can be calculated as

Area = length * width

Here, the length of the rectangular portion of the prism is 8 units.

The width of the lowermost rectangle is 5 units.

The area of the uppermost rectangle = the area of the lowermost rectangle = 8 * 5 units² = 40 units²

Again the width of the middle rectangle is 6 units.

So, the area of the middle rectangle = 6 * 8 units² = 48 units²

Now, the height and base of the triangles are 4 and 6 respectively.

So, the area of the left-hand side triangle = the area of the right-hand side triangle = 2 * (1/2) * 4 * (6/2) units² = 1 * 4 * 3 units² = 12 units²

Then the area of the triangular prism = area of rectangular portion + area of triangular portion = (2 * 40 + 48) + (2 * 12) units² = (80 + 48) + 24 units² = 128 + 24 units² = 152 units²

Therefore the surface area, in square units, of the triangular prism is 152 units². So, Option C is correct.

Learn more about the area here -

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3 0

2 years ago

Find the sum of the multiples of 3 from 3 to 99 inclusive

Oksana_A [137]

Multiples of 3 from 3 to 99 inclusive is a Aritmetic Progression where:

a1 = 3
an = 99
r = 3

Using the formula of general terms:

 $a_n=a_1+(n-1).r\\
\\
99=3+3(n-1)\\
\\
99-3=3n-3\\
\\
3n=99\\
\\
n=33$

Calculating sum:

 $S_{33}=\frac{33(a_1+a_{33})}{2}\\
\\
S_{33}=\frac{33(3+99)}{2}=\frac{33*102}{2}=1683$

3 0

3 years ago