Solve 15 + a = 31 for a

Mathematics

2 answers:

pentagon [3]2 years ago

5 0

Answer:

a = 16

Step-by-step explanation:

To solve your question all you have to do is subtract 15 on both sides so,

15 - 15 + a = 31 - 15

Which will give you,

15 - 15 = 0

31 - 15 = 16

So,

a = 16

Hope this helps!!

matrenka [14]2 years ago

3 0

Answer:

Step-by-step explanation:

$15 + a = 31$

Move constant to R.H.S and change its sign

$a = 31 - 15$

Subtract the numbers

$a = 16$

Hope this helps..

Best regards!!

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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°