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alex41 [277]
2 years ago
13

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

teger
Mathematics
1 answer:
prohojiy [21]2 years ago
3 0
<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°

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Murrr4er [49]
Given:
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finance charge = 20
term = 14 days.

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<span>1. Divide the finance charge by the loan amount.
20/300 = 0.0667

2. Multiply the result by 365. 
0.0667 x 365 = 24.35

3. Divide the result by the term of the loan.
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7 0
3 years ago
How do I figure this out?
balu736 [363]

it is 1 2 twelve I can end without 20 word my friend so deal with it

6 0
3 years ago
Only answer this if you have an explanation and if you know what the answer is.
Klio2033 [76]

Answer:

G

Step-by-step explanation:

Since there are 50 students being asked, to find a percentage, put the output (the number of students that chose each genre) and the input (the number of students asked all together) in ratio form as a fraction. You will get the fractions 10/50, 16/50, 20/50, and 4/50. Multiply each denominator by two to get the percentage. You will get 20/100, 32,/100, 40/100, and 8/100. If you look at the four answers provided, you can cross out J immediately because it shows that "Other" was the greatest percentage, when it is in fact the smallest. H can be crossed out as well, since the percentage for "Mystery" is over 20% when it should be exactly at 20%. F can be crossed out as well because it shows that "Other" takes up 10%, when it is actually a bit less, 8%. G is the best choice because the percentage that "Other" takes up is a bit less than 10%, so it's safe to say that it shows 8%.

8 0
3 years ago
Write an exponential expression: choose a number between 0 and 10 to be the base and another number between 0 and 10, different
lesya [120]

Answer:

2^4

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Step-by-step explanation:

In the question above :

Write an exponential expression:

Base = number between 0 and 10

Exponent = number different from the base between 0 and 10

Let base = 2

Let exponent = 4

Hence, exponential expression will be

Base^exponent

2^4 (standard form)

Expanded form:

2 * 2 * 2 * 2 (multiply 2 in 4 places)

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2 years ago
Geraldo has 3 fewer marbles then yan. Together, they have 21 marbles. Which represents this situation ?
Kazeer [188]

Answer:

Step-by-step explanation:

X = number of Yan's marbles.  x-3 = number of Geraldo's marbles

annswer: x + (x - 3) = 21

hopes this helps :)

3 0
3 years ago
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