Answer:
1. y = 14.718
2. ??
3. y = 39.794°
Step-by-step explanation:
<em>HINT the side we already know and the side we are trying to find, we use the first letters of their names and the phrase "SOHCAHTOA" to decide which function:
</em>
SOH...
Sine: sin(θ) = Opposite / Hypotenuse
...CAH...
Cosine: cos(θ) = Adjacent / Hypotenuse
...TOA
Tangent: tan(θ) = Opposite / Adjacent
1. Sine: sin(θ) = Opposite / Hypotenuse
sin(42°) = y / 22
so on your calculator enter 42 then sin = 0.669
0.669 = y/22 multiply both sides by 22 to get y
y = 14.718
2. is there any other information??
3. The two sides we know are Opposite 40 and Adjacent 48.
SOHCAHTOA tells us we must use Tangent.
Calculate Opposite/Adjacent = 40/48 = 0.833
Find the angle from your calculator using tan-1
Tan y° = opposite/adjacent = 40/48 = 0.833
tan-1 of 0.833 = 39.794°
The value of x in the triangle is 9.3
<h3>How to find the side x of a triangle?</h3>
The side x of a triangle can be found as follows:
The triangle ABC is similar to triangle ADE.
Therefore, corresponding sides of similar triangles are in the same ratios.
Hence,
7 / 13 = x / x + 8
cross multiply
7(x + 8) = 13x
7x + 56 = 13x
subtract 7x from both sides of the equation
7x - 7x + 56 = 13x - 7x
56 = 6x
divide both sides by 6
x = 56 / 6
x = 9.33333333333
x = 9.3
learn more on triangle here: brainly.com/question/2292453
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The little tic marks on each of the triangle's sides are there to tell you that the sides are all equal, and therefore, yes, it is an equilateral triangle.
Since all the sides are equal, a geometry theorem tells us that all the angles are equal.
You may try to set the two expressions for the two angles equal to each other, but you will still be stuck.
Since all three angles are equal, and since there are a total of 180 degrees in a triangle, each angle has to be 60 degrees.
So to find y, set the expression for angle A equal to 60 and solve for y.
60 = 5y + 10
50 = 5y
10 = y
y = 10
Answer:
It means there is an exponent
Step-by-step explanation:
