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Oksi-84 [34.3K]
3 years ago
9

Calculate the area of quadrilateral ABCD. State the units of your answer.

Mathematics
1 answer:
cluponka [151]3 years ago
3 0

Answer:

158.76 cm²

Step-by-step explanation:

Quadrilateral ABCD is composed of 2 right triangles

Construct the line BD, then

Δ ABD and Δ BCD are the 2 right triangles.

The area (A) of a triangle is calculated using

A = \frac{1}{2} bh ( b is the base and h the perpendicular height )

Δ ABD with b = 18 and h = 7.5

A = \frac{1}{2} × 18 × 7.5 = 9 × 7.5 = 67.5 cm²

Δ BCD with b = 15.6 and h = 11.7

A = \frac{1}{2} × 15.6 × 11.7 = 7.8 × 11.7 = 91.26 cm²

Thus

area of ABCD = 67.5 + 91.26 = 158.76 cm²

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Strike441 [17]

The amount of the radioactive substance is 374.6 g

<h3>How to determine the amount of radioactive substance?</h3>

The given parameters are:

  • Initial, a = 424 mg
  • Rate, r = 6%
  • Time, t = 2 hours

The amount of the radioactive substance is calculated as:

A(t) = a(1 - r)^t

This gives

A(t) = 424 * (1 - 6%)^t

At 2 hours, we have:

A(2) = 424 * (1 - 6%)^2

Evaluate

A(2) = 374.6

Hence, the amount of the radioactive substance is 374.6 g

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2 years ago
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Answer:

1/2^4

Step-by-step explanation:

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3 years ago
The area of the circle is 132.7 square centimeters. What is the diameter
VladimirAG [237]
Equating the formula  (d is the diameter)

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d^2 = 132.7*4/\pi
d = \sqrt{169.044586}
d = 13.0017147331
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Which property is represented by the following equation? 2 + (3 + 4) = (2 + 3) + 4​
Marysya12 [62]

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associative prop

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A local grocery store is running a marketing promotion on social media. They are randomly choosing a winner from the entrants th
AlladinOne [14]

Using it's concept, it is found that the odds that the winner shops in the store 4 or more times a week are given by: 9:41.

<h3>What is the odd of an event?</h3>

It is given by the <u>number of desired outcomes divided by the number of non-desired outcomes</u>.

Researching the problem on the internet, it is found that 18% of the winners shop in the store 4 or more times a week, while 82% do not, hence:

18:82 = 9:41

The odds that the winner shops in the store 4 or more times a week are given by: 9:41.

More can be learned about odds at brainly.com/question/25683609

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