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k0ka [10]
1 year ago
7

Determine if you would use the Pythagorean Theorem, Trigonometry or Inverse Trigonometry to solve the following example.31°000X1

9TrigonometryPythagorean TheoremInverse Trigonometry.

Mathematics
1 answer:
nignag [31]1 year ago
8 0

Given:

Given that a right triangle with one angle and one side.

Required:

To determine which of the option we need to use.

Explanation:

The given triangle is a right triangle and it having only one side and one angle.

Pythagorean Theorem : If in a triangle the square on one of the sides equals the sum of the squares on the remaining two sides of the triangle, then the angle contained by the remaining two sides of the triangle is right.

Therefore, here Pythagorean Theorem s not used.

We have to use the trigonometry formula.

\begin{gathered} \cos\theta=\frac{adj}{adj} \\  \\ \cos31=\frac{19}{x} \end{gathered}

Final Answer:

The option Trigonometry is correct.

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The diagram below shows a square inside a regular octagon. The apothem of the octagon is 15.69 units. To the nearest square unit
Musya8 [376]

Answer:

C.  647 square units

Step-by-step explanation:

To find the shaded area, subtract the area of the unshaded square from the area of the octagon.

<u>Area of the octagon</u>

\textsf{Area of a regular polygon}=\dfrac{n\:l\:a}{2}

where:

  • n = number of sides
  • l = length of one side
  • a = apothem

Given:

  • n = 8
  • l = 13
  • a = 15.69

Substitute the given values into the formula and solve for A:

\implies \textsf{Area}=\sf \dfrac{8 \cdot 13 \cdot 15.69}{2}

\implies \textsf{Area}=\sf \dfrac{1631.76}{2}

\implies \textsf{Area}=\sf 815.88\:\:square \:units

<u>Area of the square</u>

\implies \textsf{Area}=\sf 13^2=169 \:\:square \:units

<u>Area of the shaded region</u>

= area of the octagon - area of the square

= 815.88 - 169

= 646.88

= 647 square units (nearest square unit)

3 0
2 years ago
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If johnny had 5 apples and gave away 10 how many apples does he have?
Andrej [43]
5 apples because 10-5 =5
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3 years ago
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If a = b, then a - c ____ equals b - c. Select one: a. always b. sometimes c. never
FromTheMoon [43]

Always

a=b

subtract c from each side

a-c = b-c

8 0
3 years ago
16x 2 + 8x - 15 Mathematics?
Gala2k [10]
If you're factoring, your answer is

(4x - 3)(4x + 5)

You'll work it out this way:

16x^2 + 8x - 15

Since there's no GCF here, you multiply the first and third terms, giving you -240. Your next step is to find two numbers that have a sum of 8 and a product of -240. These numbers are 20 and -12. Plug those in and you've got:

16x^2 + 20x - 12x - 15

From here you divide it into two binomials. These are (16x^2 + 20x) and (-12x - 15).
When you take out the greatest common factors (4x and -3), they become:

4x(4x + 5) - 3(4x + 5)

Then you group what's outside of the parentheses together (4x - 3)
And bring what's inside of the parentheses down (4x + 5).
This brings your answer to

(4x - 3)(4x + 5)
5 0
3 years ago
An helicopter is hovering at an altitude of 3, 450 feet above sea level. It descends at a constant rate of change of 75 feet per
grandymaker [24]

Answer:

the one to the left because rigt

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