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barxatty [35]
3 years ago
5

Evaluate the expression.33 + 6( 2 + 36)

Mathematics
1 answer:
Ivenika [448]3 years ago
4 0

Good morning ☕️

Answer:

261

Step-by-step explanation:

Here we can proceed two ways

WAY1 : using the order of operations  

33 + 6( 2 + 36) = 33 + 6×(38)

                        =261

WAY2 : using distributive property

33 + 6( 2 + 36) = 33 + 6×2 + 6×36

                        = 33 + 12 + 216

                        =261

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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°              

3 0
3 years ago
Could someone answer this and explain an easier way to do this?
goblinko [34]

Answer:

Area of the figure = 109 cm. square

Step-by-step explanation:

The radius of the semi circle is 12 ÷ 2 = 6 cm.

Area of the semi circle = \frac{1}{2}\pi(6^{2})=18\pi

The radius of the quarter circle is 6 cm.

Area of the quarter circle = \frac{1}{4}\pi(6^{2}=9\pi

The area of the rectangle = 12 × 2 = 24

The area of the figure = 18π + 9π + 24 = 108.78 ≅ 109 cm. square

3 0
3 years ago
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Rom4ik [11]
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5 0
3 years ago
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Tcecarenko [31]
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Hope this helps

Have a great day/night
6 0
3 years ago
Read 2 more answers
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