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3 years ago

Simplify m(2+n-m)+3(3n+m^2-1)

Mathematics

1 answer:

mina [271]3 years ago

4 0

Answer:2m^2+mn+2m+9n-3

Step-by-step explanation:

m(2+n-m)+3(3n+m^2-1)

open brackets

2m+mn-m^2+9n+3m^2-3

Collect like terms

3m^2-m^2+mn+2m+9n-3

2m^2+mn+2m+9n-3

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A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 20 inches long

Pie

Answer:

Surface area of pyramid with base equilateral triangle is $390+100\sqrt{3}$ square inches

Step-by-step explanation:

Recall the following result:

The total surface area(S) of a regular pyramid is given by,

$S = \frac{1}{2}pl+B$ ...... (1)

Here, p represents the perimeter of the base , $l$ the slant height and B the base area of the pyramid.

From the given information:

Side of equilateral triangle = 20 inches

Slant height of the pyramid( $l$ ) = 13 inches.

First find the perimeter and Area of the base pyramid.

Perimeter of equilateral triangle(p) = $3 \times (side)$

= $3 \times 20 = 60 inches$

Area of equilateral triangle(B) = $\frac{\sqrt{3} }{4} \times (side)^{2}$

= $\frac{\sqrt{3} }{4} \times (20)^2 = 100\sqrt{3}$ square inches.

Substitute the above values in equation (1) as shown below:

$S=\frac{1}{2} \times 60 \times 13+100\sqrt{3}$

$S= 390+100\sqrt{3}$ square inches

Hence, the surface area of pyramid with base equilateral triangle is $390+100\sqrt{3}$ square inches.

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3 years ago

Help: frequencies (easy)

lesya692 [45]

The answer is C.

Hope this helps.

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3 years ago

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After giving 1/3 of his jawbreakers to his sister and 1/4 to his brother, Jason still had 40. How many jawbreakers did he give t

givi [52]

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4 years ago

Write 4 different mixed decimals that equal 11 wholes

Softa [21]

There are an infinite number of answers. One possible answer is 3.5+1.2+2.4+3.9=11. The explanation of how I arrived at this follows: A mixed decimal is a whole number followed by a fractional part so an example would be 3.4 or 2.5. To get 4 different mixed decimals that sum to 11 follow these steps: 1. Start with 11 and subtract any mixed decimal from 11 that is smaller than 11. So I will subtract 3.5 11-3.5=7.52. Take the 7.5 from the last step and subtract another mixed decimal from 7.5 that is smaller than 7.5. I will subtract 1.2 7.5-1.2=6.33. Take the 6.3 and subtract another mixed decimal from 6.3 that is smaller than 6.3. I will subtract 2.4 6.3-2.4=3.94. Now I take all of the numbers that I subtracted and add them together along with the 3.9 that was left over and I get 3.5+1.2+2.4+3.9=11

I hope that this helps you! =D

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3 years ago

a store is selling uniform shirts for 18.95 each. if samuel has a coupon for 1/4 off the price, how much would he pay for the sh

balandron [24]

First take the original price and multiple by 1/4 or .25. You should get 4.73 then you subtract that from 18.95 and your answer is 14.22

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