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e-lub [12.9K]
2 years ago
6

Find the length of the third side. If necessary, round to the nearest tenth. 6 10

Mathematics
1 answer:
Pavlova-9 [17]2 years ago
6 0
If you round, it’ll be 7,0
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You have 8,640 grams of a radioactive kind of cesium. If its half-life is 30 years, how much
Vikki [24]

The mass of cesium left afer 120 years if the original mass of cesium is 8640 with an half-life of 30 years,  is 540 grams.

<h3>What is half-life?</h3>

This can be defined as the time taken for half the amount of a radioactive substance to decay.

To calculate the amount of cesium left after 120 years, we use the formua below.

Formula:

  • R' = R/(2^{T/t})............. Equation 1

Where:

  • R = Original amount of Cesium
  • R' = New amount of cesium
  • T = Total time
  • t = Half-life

From the question,

Given:

  • R = 8640
  • T = 120 years
  • t = 30 years

Substitute these values into equation 1

  • R' = 8640/(2^{120/30})
  • R' = 8640/2^{4}
  • R' = 8640/16
  • R' = 540 grams.

Hence, The mass of cesium left afer 120 years is 540 grams.

Learn more about half-life here: brainly.com/question/25750315

4 0
1 year ago
Am I correct? (Perfect Square Form)
natka813 [3]

Answer:

(x -3 )^2 = 10

Step-by-step explanation:

Given

x^2 - 6x - 1 = 0

Required: Express as a perfect square

x^2 - 6x - 1 = 0

Add 10 to both sides

x^2 - 6x - 1 +10= 0+10

x^2 - 6x +9= 10

Expand

x^2 - 3x  - 3x+9= 10

Factorize:

x(x - 3) - 3(x  - 3)= 10

Factorize:

(x -3 )(x - 3) = 10

(x -3 )^2 = 10

8 0
3 years ago
Mr.Wallace receives 10% commission on each sale that he makes. He earned $450 last week in commissions.How much were his sales?​
lesantik [10]

Answer:

4500 dollars

Step-by-step explanation:

6 0
3 years ago
Write the quadratic equation in factored form. Be sure to write the entire equation. x^2 + x - 12 = 0
nignag [31]
X^2 + X - 12 = 0

(X + 4)(X - 3) = 0

X = -4 and X = 3.
3 0
3 years ago
Haley has enlarged a 3-inch by 5-inch picture so that both the length and width are tripled. The area of the enlarged photo is h
77julia77 [94]

Answer:

9 times

Step-by-step explanation:

Area = length x breadth

area of picture not enlarged = 3 x 5 = 15in²

If length is tripled it becomes , 3 x 3 = 9in

If width is tripled, it becomes , 5 x 3 = 15in

Area of enlarged picture = 9in x 15in = 135in²

amount by which enlarged image is larger = 135in² /15in² = 9

5 0
2 years ago
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