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Elenna [48]
3 years ago
14

Element X decays radioactively with a half life of 11 minutes. If there are 180 grams of Element X, how long, to the nearest ten

th of a minute, would it take the element to decay to 17 grams?
Mathematics
1 answer:
Simora [160]3 years ago
3 0

Answer:

37.4 minutes I believe.

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3200 2560, 2048, 1638.4 what is the common ratio. Express your answer as a decimal.​
ad-work [718]

Answer:

1561.6

Step-by-step explanation:

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3 years ago
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PQ and QR are two sides of a regular 12-sided polygon. PR is the diagonal of the polygon.
skelet666 [1.2K]

The size of angle PRQ is 15°

Step-by-step explanation:

In any regular polygon of n-sided

  • All sides are equal in length
  • All angles are equal in measure
  • The measure of each interior angle is \frac{(n-2)*180}{n}
  • The measure of each exterior angle is \frac{360}{n}
  • The sum of the measures of the interior and exterior angle at the same vertex is 180°

∵ PQ and QR are two sides of a regular 12-sided polygon

∴ PQ = QR

∵ PR is a diagonal

∴ ∠PQR is an interior angle of the polygon

- By using the rule of the interior angle above

∵ n = 12

∴ m∠PQR = \frac{(12-2)*180}{12}

∴ m∠PQR = 150°

In Δ PQR

∵ PQ = QR ⇒ sides in a regular polygon

- Δ PQR is an isosceles Δ

∴ m∠PRQ = m∠RPQ ⇒ base angles of an isosceles Δ

The sum of the measures of the interior angles of a triangle is 180°

∵ m∠PQR + m∠PRQ + m∠RPQ = 180°

∴ 150 + m∠PRQ + m∠RPQ = 180°

- Subtract 150 from both sides

∴ m∠PRQ + m∠RPQ = 30

∵ m∠PRQ = m∠RPQ

- Divide their sum by 2 to find the measure of each one

∴ m∠PRQ = m∠RPQ = 30 ÷ 2 = 15°

∴ m∠PRQ = 15°

The size of angle PRQ is 15°

Learn more:

You can learn more about the triangles in brainly.com/question/3945600

#LearnwithBrainly

4 0
3 years ago
Find x and y intercepts <br> 7-3y=9x
Alecsey [184]

Answer:

the y intercept is 2 1/3 and the x intercept is 392/500

Step-by-step explanation:

i just used desmos it helps

4 0
3 years ago
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Using SET NOTATION, what is the solution set for the following equation? a² - 3 = 22
UNO [17]

The solution set is \{-5,5\}

Explanation:

The given equation is a^{2}-3=22

To determine the solution set of the equation, let us solve the equation.

Adding both sides of the equation by 3, we have,

a^2=25

Taking square root on both sides of the equation, we get,

a=\sqrt{25}, a=-\sqrt{25}

a=5, a=-5

Thus, the solution of the equation is a=5, a=-5

The solution set of the equation is the set which contains all the solutions of the equations.

Thus, writing the solutions of the equation using set notation, we have,

\{-5,5\}

Thus, the solution set is \{-5,5\}

4 0
3 years ago
Apply the distributive property to factor out the greatest common factor of 55 + 35​
alekssr [168]

Answer:

Step-by-step explanation:

5(11+7)

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