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2 years ago

Which technique is vital for giving an effective presentation?

Mathematics

1 answer:

Georgia [21]2 years ago

4 0

Answer:

Use eye contact and speak clearly and deliberately.

Step-by-step explanation:

let me know if you have any questions

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ASAP What is the lateral area of this regular octagonal pyramid?? Explain your answer if you can plz thanks

Archy [21]

The lateral area would be 298.7 cm².

The lateral area is the area of all of the lateral faces of the pyramid. There are 8 triangles making up the lateral faces. Each has a base of 6.6. The formula for the area of a triangle is

A=1/2bh,

so we still need the height of the triangle.

The height of each lateral triangle is the slant height of the pyramid. The slant height of the pyramid forms a right triangle with the height of the pyramid and the "radius" as it were of the pyramid. Thus we use the Pythagorean theorem:

8²+8²=h²
64+64=h²
128=h²
√128=√(h²)
8√2 = h

Substituting this into our area formula we have:
A=1/2(6.6)(8√2)

We will go ahead and multiply this by 8, since there are 8 lateral faces:
LA=8(1/2)(6.6)(8√2)
LA = 298.7

3 0

3 years ago

Read 2 more answers

86,921 in expanded form

Rudik [331]

86921 = 80000 + 6000 + 900 +20 +1

3 0

2 years ago

Read 2 more answers

Renata wins a $20 gift card to an online music site. After Renata purchases 16 songs, the gift card has a remaining

amm1812

Answer: $y=20-1.25x$

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope of the line and "b" is the y-intercept.

You need to analize the information given in the exercise.

You know that gift card had a total of $20. Then, since she started to buy the songs with $20, you can identify that:

$b=20$

Since Renata purchased 16 songs and the gift card had a remaining balance of $0 after this, you can find the cost of each song. This is:

$\frac{20}{16}=\$1.25$

Therefore, she spent $1.25 per song. This means that the slope is:

$m=-1.25$

Then, you get that the equation that represents the relationship between "y" (the remaining balance on Renata's gift card) and "x" (the number of songs purchased) is:

$y=20-1.25x$

7 0

3 years ago

Can anyone help me with this?

Serga [27]

I don't understand ur hand writing sorry

4 0

3 years ago

Thank you very much anh you

Neko [114]

Hello from MrBillDoesMath!

Answer:

See discussion below

Discussion:

The sum of the interior angles of a polygon of n sides is (n-2)* 180. As the polygon in #4 has 7 sides , the sum of the interior angles is (7-2)*180 = 5 * 180 = 900.

We can also compute the sum of the interior angles by adding up each of the angles (expressed in terms of x) shown in #4. Starting at the top of the polygon and proceeding counterclockwise gives:

900 = (8x +34) + (10x+21)+(9x+30)+(7x+45)+(5x+44)+(12x+13)+(6x+29) =>

(8x + 10x+9x+7x+5x+12x+6x) + (34+21+30+45+44+13+29) =

57x + 216

This simplifies to

900 = 57x + 216 => subtract 216 from both sides

900-216 = 57x => 900-216= 684

684= 57x => divide both sides by 57

684/57 = x => as 684/57 = 12

x = 12

The diagram has makes repeated use of the same variable for vertices. That is, the diagram shows 4 P's, 1 Q, 2 R's, 0 S's, and 1 T making it impossible to determine the values of some angles. For example, consider m RST -- whatever that means.

#5 uses the same ideas but the vertices are properly labeled (I'll leave the grunt of determining the individual angles to you but here are the main points).

Sum of interior angles = (7 -2) * 180 = 5 * 180 = 900.

900 = (8x+62) + (7x+66)+(5x+83)+(6x+55)+(10x+42)+(8x+45)+(4x+67) =>

900 = (8x + 7x +5x+6x+10x+8x+4x) + (62+66+83+55+42+45+67)

900= 48x + 420 =>

900 -420 = 48x => subtract 420

480 = 48x => divide by 48

x = 480/48 = 10

Thank you,

MrB

6 0

3 years ago