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alukav5142 [94]
2 years ago
11

What is the area of the polygon below?

Mathematics
1 answer:
Juliette [100K]2 years ago
5 0

Answer:

20 units²

Step-by-step explanation:

I have included the answer as well as an explanation and formula above. Note that the formula is only for area of trapeziums/trapezoids

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Find the angle made by the x axis and the terminal side resulting from connecting the origin to (5,7), rounded to the nearest in
prohojiy [21]
<h2>Answer:</h2>

55°

<h2> Step-by-step explanation:</h2>

To solve this, follow these steps:

i. <em>Make a sketch of the problem</em>.

The sketch has been attached to this response.

ii. <em>Label the sketch properly</em>

As shown in the sketch, θ is the angle between the x-axis and the terminal side resulting from connecting the origin to (5,7).

iii. <em>Solve using the tangent trigonometric ratio</em>

With the proper sketch and labelling, a right triangle is formed with the adjacent and opposite sides to the angle being  5 units and 7 units respectively.

Using the tangent formula,

tan θ = opposite / adjacent

tan θ = 7 / 5

θ = tan⁻¹ (7/5)

θ = tan⁻¹ (1.4)

θ = 54.46

θ = 55° to the nearest integer.

Therefore, the angle  made by the x axis and the terminal side resulting from connecting the origin to (5,7), rounded to the nearest integer is 55°

3 0
2 years ago
What is the area of Georgia rounded to the nearest square mile, The is square mile as 59,424.77?
bazaltina [42]

Answer:

59,425 sq mi

Step-by-step explanation:

When you want to round to the units place, you look at the digit in the number that is in the place to the right of that: the tenths place. Here, that digit is 7, which is more than 4. Because that digit is more than 4, 1 is added to the units place and all the digits to the right of that are dropped.

This gives you 59,424 +1 = 59,425.

_____

If the tenths digit were 4 or less, no change would be made to values in the units place or to the left of that. The tenths digit and digits to the right would be dropped.

... 59,424.3 ⇒ 59,424 . . . . . for example

7 0
3 years ago
What is 7/p=8/9? Solve for p
irina [24]

Answer:

Exact form, p = 63/8

decimal form, p = 7.875

Mixed number form, p = 7 7/8

Step-by-step explanation:

Solve for p by cross multiplying

7 0
2 years ago
Read 2 more answers
Will give brainiest and thx for the help
irinina [24]
C would be the correct answer I hope you have an amazing day!
7 0
2 years ago
What is the value of the equation -2/3x + 9 = 4/3 x -3?​
MArishka [77]

Answer:

x = 6

Step-by-step explanation:

\frac{-2}{3}x+9=\frac{4}{3}x-3\\\\\frac{-2}{3}x-\frac{4}{3}=-3-9\\\\\frac{-2-4}{3}x= - 12\\\\\frac{-6}{3}x = -12\\\\ -2x  -12\\\\x = \frac{-12}{-2}\\\\x = 6

3 0
2 years ago
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