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3 years ago

Find the Area of the shaded region. Round your answer to the nearest tenth.

Mathematics

1 answer:

Masteriza [31]3 years ago

5 0

Answer:

610m^2

Step-by-step explanation:

first we find the total area:

25*42=1050

then, we find the area of the white rectangle:

20*22=440

to find the area of the shaded region (which i'm assuming is the blue part), we can subtract the total area by the area of the white rectangle:

1050-440=610

so, the total area is 610m^2.

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Vaselesa [24]

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$2 \frac{1}{2} \times 3 \frac{2}{5} = 8 \frac{1}{2}$

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3 0

3 years ago

Read 2 more answers

The top of the Boulder Dam has an angle of elevation of 1.2 radians from a point on the Colorado River. Measuring the angle of e

Nana76 [90]

Answer:

382.925 feets

Step-by-step explanation:

The solution diagram is attached below :

Converting radian measurement to degree :

radian angle * 180/π = degree angle

1.2 * 180/π = 68.755°

0.9 * 180/π = 51.566°

Height of dam is h:

Using trigonometry :

Tan θ = opposite / Adjacent

Tan 68.755° = h / x

h = x Tan 68.755° - - - (1)

Tan 51.566° = h / (155+x)

h = (155+x) tan 51.566° - - - (2)

Equate (1) and (2)

x Tan 68.755 = (155+x) Tan 51.566

x Tan 68.755 = 155tan 51.566 + x tan 51.566

x Tan 68.755 = 195.32311 + x Tan 51.566

x Tan 68.755 - x Tan 51.566 = 195.32311

x(tan 68.755 - tan 51.566) = 195.32311

x * 1.3120110 = 195.32311

1.3120110x = 195.32311

x = 195.32311 / 1.3120110

x = 148.87307

Using :

h = x Tan 68.755

h = 148.87307 * tan(68.755)

h = 382.92539

h = 382.925 feets

5 0

3 years ago

If m ∥ n, m∠1 = (5x + 12)°, and m∠2 = (7x – 16)°, what is m∠3?

asambeis [7]

Answer:

98°

Step-by-step explanation:

m∠1 = m∠2

5x + 12 = 7x - 16; substitute the given

2x = 28

x = 14

m∠2 + m∠3 = 180; supplementary angles

82 + m∠3 = 180

m∠3 = 180 - 82

m∠3 = 98 degrees

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3 years ago

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PLZ HELP NEDD IT RN!

tensa zangetsu [6.8K]

Answer:

Your answer is mean absolute deviation.

Step-by-step explanation:

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4 years ago

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Two students from a group of eight boys and 12 girls are sent to represent the school in a parade. If the students are chosen at

n200080 [17]

Answer: The probability of selecting at least one boy (the probability that the 2 students selected are not both girls) is 62/95 or 0.6526

Step-by-step explanation:

From the question, the students to be chosen must be selected from a group of eight boys and twelve girls. This means that the total number of students that these two students must be chosen from is:

8 + 12 = 20 students.

The next step would be to find the probability of selecting a boy:

= Total number of boys/Total number of students

= 8/20

We will also find the probability of selecting one girl from the group

= Total number of girls/Total number of students

= 12/20

To find the probability that the two selected students are not girls is the same as finding the probability of selecting at least one boy. To do this, we will first find the probability of choosing all girls and then subtract it from 1.

The probability of selecting or choosing 2 girls (without replacement)

(12/20) × (11/19)

= 132/380

= 33/95

Then, the probability of selecting at least one boy (the probability that the students chosen are not both girls)

= 1 - (33/95)

= (95/95) - (33/95)

= 62/95 or 0.6526

8 0

4 years ago