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sasho [114]
3 years ago
13

Shannon and Kelly spent $135 on gift certificates for their friends during the holidays. If this amount is 5/7 their total spend

ing money, how much spending money did they originally have? Set up an equation and solve.
Mathematics
1 answer:
Katena32 [7]3 years ago
4 0

Answer:

$189

Step-by-step explanation:

Let their total amount of spending money be x

given that $135 they spent is 5/7 of their total spending money,

mathematically:

135 = (5/7) x     (multiply both sides by 7)

135 (7) = 5x

945 = 5x

5x = 945  (divide both sides by 5)

x = 945 / 5

x = 189

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In a right triangle one leg measures a quarter of the other, how much do its acute angles measure? with procedure please​
KATRIN_1 [288]

Answer:

The answer to your question is 14° and 76°

Step-by-step explanation:

Data

leg 1 = x

leg 2 = x/4

angle 1 = ?

angle 2 = ?

Process

To solve problem use trigonometric functions. We must use the trigonometric function that relates both legs (tangent).

    tangent Ф = Opposite side / Adjacent side

-Substitution

    tan Ф = (x/4) / x

-Simplification

    tan Ф = x / 4x

    tan Ф = 1/4

-  Find Ф

     Ф = tan⁻¹(1/4) =  14°

- Find the other acute angle

  The sum of the internal angles in a triangles equals 180°

       Ф + Ф₁ + 90° = 180

-Solve for Ф₁

        Ф₁  = 180 - 90 - 14

-Result

        Ф₁ = 76°              

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