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slamgirl [31]
3 years ago
14

a=13 c=15 A=53 Two sides and an angle​ (SSA) of a triangle are given. Determine whether the given measurements produce one​ tria

ngle, two​ triangles, or no triangle at all. Solve each triangle that results.
Mathematics
1 answer:
Sergeu [11.5K]3 years ago
7 0

Answer:

The given measurement will produce only 1 triangle

Step-by-step explanation:

Given:

a = 13

c = 15

∠A = 53°

now, applying the law of sine, we have

(a/sinA) = (c/sinC)

on substituting the values, we get

(13/sin53°) = (15/sinC)

or

sinC = 0.921

or

C = 67.14°

also, sum of all the angles of a triangle = 180°

thus,

∠A + ∠B + ∠C = 180°

53° + 67.14° + ∠B = 180°

or

∠B = 59.85°

now,

again applying the law of sine, we have

(a/sinA) = (b/sinB)

on substituting the values, we have

(13/sin53) = (b/sin59.85°)

or

b = 14.07

now, we have all the dimension of the triangle and have obtained the unique values,

Therefore, the given measurement will produce only 1 triangle

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Answer:

$110.37

Step-by-step explanation:

Assuming the monthly payment is made at the beginning of the month, the formula for the monthly payment P that gives future value A will be ...

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They should deposit $110.37 at the beginning of each month.

6 0
3 years ago
The members of a health spa pay annual membership dues of $300 plus a charge of $2 for each visit to the spa. Let Y denote the d
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Answer:

Y = 300 + 2X

Y( in dollars)

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Step-by-step explanation:

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8 0
3 years ago
A. 16
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9514 1404 393

Answer:

  C.  8√3/3

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42. Use the Quadratic Equation to find the Roots of x2 + 3x - 3=0
almond37 [142]

Answer:

Step-by-step explanation:

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x = -----------------

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