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3 years ago

What is the surface area of this triangular pyramid?

Mathematics

1 answer:

solniwko [45]3 years ago

3 0

Answer:

Step-by-step explanation:

Hence, the surface area of a triangular pyramid is 140 square units.

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Convert the polar representation of this complex number into its standard form z=4(cos150+isin150).

Katen [24]

Answer:

Step-by-step explanation:

Using the exact values

cos150° = - cos30° = - $\frac{\sqrt{3} }{2}$

sin150° = sin30° = $\frac{1}{2}$

Given

z = 4(cos150° + isin150° ) , substitute values

= 4(- $\frac{\sqrt{3} }{2}$ + $\frac{1}{2}$ i )

= - 2 $\sqrt{3}$ + 2i , that is

(- 2 $\sqrt{3}$ , 2 ) → B

7 0

3 years ago

David has 36 apple and pear trees in his gardens. If he plant 4 more apple trees, he will have the same amount of apple and pear

amm1812

Answer:

16 apples, 20 pears

Step-by-step explanation:

36+4=40

So 40/2= 20 or an even amount of both apples and pears

20-4= 16 ~Original amount of apples

36-16=20 ~Amount of pears

6 0

3 years ago

I need help with this question

timofeeve [1]

Answer:

67 people i believe. I am not 100% sure..

Step-by-step explanation:

3 0

3 years ago

two friends have a conversation mario tells roberto "the money i have is twice that you have" roberto answer "if you give me 6 d

crimeas [40]

Answer:

Before anyone gives anyone money, Mario has 24 dollars and Roberto has 12 dollars. After they give each other money, both of them have 18 dollars.

Step-by-step explanation:

Mario has twice as much as Roberto, BUT if Mario gives Roberto 6 dollars, then they have the same amount.

M = 2R

M - 6 = R + 6

To isolate M, you need to add 6 on both sides.

M - 6 + 6 = R + 6 + 6

M = R + 12

M = 2R

Substitute M for the value above that we found.

R + 12 = 2R

Now we subtract R on both sides, so that only one side has the variable R.

R - R + 12 = 2R - R

12 = R

M = 2R

Substitute for the value of R.

M = 2 x 12

M = 24

3 0

3 years ago

At the end of 2006, the population of Riverside was 400 people. The population for this small town can be modeled by the equatio

andriy [413]

The correct format of the question is

At the end of 2006, the population of Riverside was 400 people. The population for this small town can be modeled by the equation below, where t represents the number of years since the end of 2006 and P represents the number of people. $P = 400 ( 1.2 )^ t$ Based on this model, approximately what was the increase in the population of Riverside at the end of 2009 compared to the end of 2006?

(A) 291

(B) 691

(D) 1440

Answer:

The increase in the population at the end of 2009 is 291 people

Step-by-step explanation:

We are given the equation as $P = 400 ( 1.2 )^ t$

where

P = No of People

t= No of Years

it is given that in the year 2006 the population is 400

this will only happen when we take t= 0

so for

Year value of t

2006- t = 0

2007- t = 1

2008- t = 2

2009 t = 3

No of people in 2009 will be

$P = 400(1.2)^3$

= 400*1.728

P = 691.2

Since the equation represents no of people so it can't be in decimals, Therefore the population will be 691

Increase = P(2009) - P(2006)

= 691 - 400

= 291

The increase in the population at the end of 2009 is 291 people.

4 0

3 years ago