Mathematics, 08.08.2019 23:20 dwilburn01

In triangle abc, angle a is the right angle. what is the value of y?

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Answer from: dorianhenderson987

Step-by-step explanation:

In a right triangle, the side opposite to the 90 degree angle (here, side opposite to angle A) is known as the hypotenuse.

Also, the side that is "opposite" to the angle given (here side opposite is y to angle given 30 degrees) is the opposite side.

Since we want to find "opposite" and have "hypotenuse" , recalling trig ratios, we can say opposite/hypotenuse is the ratio SINE, so we can write:

$Sin(30)=\frac{y}{7}$

We solve for y:

$Sin(30)=\frac{y}{7}\\y = 7 Sin(30)$

Since the answer choice has angles in radians, we recall 30 degrees is $\frac{\pi}{6}$ radians.

Thus, the correct answer is $7Sin(\frac{\pi}{6})$ , or option A

Answer from: jdkrisdaimcc11

7sinΠ/6 (A)

Step-by-step explanation:

Since the triangle given is a right angled triangle, the SOH CAH TOA method will be employed.

Given opposite side to be 'y' (the side facing the acute angle)

The hypotenuse = 7feet(the longest side)

Any the angle theta = 30°

According to SOH;

sin(theta) = opposite/Hypotenuse

Sin30° = y/7

y = 7sin30°

Note that 180°=Πrad

30° = Π/6rad

y = 7sinΠ/6 (A)

Answer from: Quest

step-by-step explanation:

a. since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since 2010 0 1 2 3 4 5

profits made in 1000's 39 84 111 120 111 84

we find that profit gradually increases form 2010 to 2013 upto 120, then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a. since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line y = 120,000.

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