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Nadusha1986 [10]

3 years ago

7

Are the corresponding sides of similar hexagons are always congruent

1 answer:

Lerok [7]3 years ago

7 0

Two polygons are similar if their corresponding angles are congruent and their sides are in proportion.

The sides could be in a ration of 1:1 in which case the two hexagons have corresponding sides that are congruent, but they do not have to be. It could be the case that the sides of one are twice the length of the other so the ratio is 2:1. In this case the hexagons have the same shape but not the same size.

So the answer is this, the corresponding sides of similar hexagons may be congruent but do not have to be.

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A water pitcher holds 3.5 quarts of water. How many liters of water does it hold? (1 liter = 1.06 quarts)

xz_007 [3.2K]

Answer: 3.31

Step-by-step explanation:

Google “liter to quart conversion”

7 0

3 years ago

B) Alex invests $2000 in an account that has a 6% annual rate of growth. To the nearest year, when

wlad13 [49]

Answer:

part 1) 10 years

part 2) 10 years

Step-by-step explanation:

<u><em>The correct question is:</em></u>

Part 1) Alex invests $2000 in an account that has a 6% annual rate of growth compounded annually. To the nearest year, when will the investment be worth $3600?

Part 2) Alex invests $2000 in an account that has a 6% annual rate of growth compounded continuously. To the nearest year, when will the investment be worth $3600?

Part 1) we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$P=\$2,000\\A=\$3,600\\ r=6\%=6/100=0.06\\n=1$

substitute in the formula above

$3,600=2,000(1+\frac{0.06}{1})^{t}$

$1.8=(1.06)^{t}$

Apply log both sides

$log(1.8)=log[(1.06)^{t}]$

Applying property of exponents

$log(1.8)=(t)log(1.06)$

$t=log(1.8)/log(1.06)$

$t=10.09\ years$

Round to the nearest year

$t=10\ years$

Part 2) we know that

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

e is the mathematical constant number

we have

$P=\$2,000\\A=\$3,600\\ r=6\%=6/100=0.06$

substitute in the formula above

$3,600=2,000(e)^{0.06t}$

$1.8=[e]^{0.06t}$

Apply ln both sides

$ln(1.8)=ln[e]^{0.06t}$

$ln(1.8)=(0.06t)ln[e]$

$t=ln(1.8)/0.06$

$t=9.80\ years$

Round to the nearest year

$t=10\ years$

6 0

3 years ago

100% divided by __ = 35%

arlik [135]

Answer:

100 : x = 35

100 = 35 * x

x = 100/35 = 20/7

3 0

3 years ago

What is thirty two divided by the opposite of 4?

FinnZ [79.3K]

Answer:

Step-by-step explanation:

32/-4=-8

It will be nice if you give me brainliest.Good luck!

5 0

3 years ago

Read 2 more answers

Madeline works as a part time job at Parkland Hospital for $20 an hour. She worked for 20 hours last week and must pay 10% in ta

Veronika [31]

Answer:

$360.

Step-by-step explanation:

We know that Madeline works at a role of $20 per hour and worked 20 hours last week.

So we can predict that:

20 x 20 = Her pay.

20 x 20 = $400

Now including taxes, we deduct 10% of her pay, which is 0.1 x 400.

$400 x 0.1 = How much to deduct.

10% of $400 = $40

400 - 40 = Her take home pay.

$360 is her take home pay.

7 0

3 years ago