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3 years ago

What is the value of "x"

Mathematics

1 answer:

UNO [17]3 years ago

3 0

Answer:

x = 30°

sum of the internal angles of any triangle is 180°.

x + 2x + 3x = 180°

6x = 180°

x = 30°

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The radioactive element americium-241 has a half-life of 432 years. How many years will it take a 10 gram mass of americium-241

geniusboy [140]

<h2>Answer: 816 years</h2>

This problem can be solved using the <u>Radioactive Half Life Formula: </u>

<u />

$A=A_{o}.2^{\frac{-t}{h}}$ (1)

Where:

$A=2.7g$ is the final amount of the material

$A_{o}=10g$ is the initial amount of the material

$t$ is the time elapsed (the quantity we are asked to find)

$h=432y$ is the half life of americium-241

Knowing this, let's find $t$ from (1):

$2.7g=(10g).2^{\frac{-t}{432y}}$

$\frac{2.7g}{10g}=2^{\frac{-t}{432y}}$

$0.27g=2^{\frac{-t}{432y}}$

Applying natural logarithm in both sides:

$ln(0.27g)=ln(2^{\frac{-t}{432y}})$

$-1.309=-\frac{t}{432y}ln(2)$

$-t=\frac{(-1.309)(432y)}{0.693}$

<u></u>

<u>Finally:</u>

$t=816y$

3 0

3 years ago

Liza's cousin Marie bought her a ring for 250 euros in France. Liza wants to pay Marie for it in U.S. dollars. If the foreign ex

EleoNora [17]

Answer:

416.67 dollars

Step-by-step explanation:

the exchange rate between U.S. dollar and euro is given as

Exchange rate = 1:0.6

1 U.S. dollar /1 euro = 0.6

cross-multiplying both side

1 x 1 U.S. dollar = 0.6 x 1 euro

1 U.S. dollar = 0.6 euro

multiplying both side by 10

10 U.S. dollar = 0.6 x 10 euro

10 U.S. dollar = 6 euro

dividing both side by "6"

10 U.S. dollar/6 = 6 euro/6

(10/6) U.S. dollar = 1 euro

1 euro = (10/6) U.S. dollar

the ring was bought for 250 euros , we need to convert 250 euros in dollars.

multiplying both side by 250

250 x 1 euro = (250 x 10/6) U.S. dollar

250 euro = 416.67 U.S. dollar

so liza should pay 416.67 U.S. dollar to marie.

4 0

3 years ago

Light travels about 180 million kilometers in 10 minutes. How far does it travel in one minute? How far does it travel in one se

astraxan [27]

Answer:

18 million kilometers in one min. and 0.3 million kilometers in one second

Step-by-step explanation:

so the one min. is easy because all you have to do is take 180 and divide it by 10 and you get 18 million kilometers in one min. and then you would take 18 and divide it by 60 and you would get 0.3 million kilometers in one second

8 0

4 years ago

Read 2 more answers

First, Diana scores 12 points in total with three arrows. On her second turn, she scores 15 points. How many points does she sco

kotegsom [21]

Answer:

Third turn point = 21 points

Step-by-step explanation:

Given:

First turn point = 12

Second turn point = 15

Find;

Third turn point

Computation:

First turn point = 12

Assume;

Point for outer circle = a

Point for inner circle = b

So,

3a = 12

Point for outer circle = 4 point

Second turn point = 15

So,

2a + b = 15

2(4) + b = 15

Point for inner circle = 7

Third turn point = 3 x 7

Third turn point = 21 points

6 0

3 years ago

An IV bag contained 1000 ml of a solution. The solution was administered to a patient and now there is 400 ml left in a bag afte

Jet001 [13]

Answer: 100 ml each hour.

Step-by-step explanation:

1000 -400 =600 used from original amount.

Divide 600/6 = 100 ml per hour.

8 0

4 years ago