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photoshop1234 [79]
3 years ago
11

Type the correct answer in each box. Spell all words correctly.

Mathematics
1 answer:
pogonyaev3 years ago
3 0

Answer:

Charlie is incoerre

Step-by-step explanation:

Given that :

Line of sight to top of flagpole = 16 feets

Angle of elevation = 60°

The height of the flagpole :

Applying trigonometry to the drawing in the attached picture :

We use:

Sinα = opposite / hypotenus

This enables us to use the value of the hypotenus (line of sight) to obtain the missing height value (h)

Sin(60°) = h / 16

h = 16 * sin 60

h = 16 * 0.8660254

h = 13.856406

Hence flagpole is about 13.86 feets high

Charlie's reasoning is incorrect, the line of sight constitutes the hypotenus and not Adjacent and hence, shoul

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KATRIN_1 [288]
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6x < - 6                 3x > 21
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4x + 5 > 25
4x > 25 - 5
4x > 20
x > 20/4
x > 5
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5 - 2x > = 27
-2x > = 27 - 5
-2x > = 22
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6 0
3 years ago
Read 2 more answers
The diagonals of a parallelogram ABCD intersect at O.find ar(AOB),if ar(ABCD)is 44cm^2
prisoha [69]

Answer:

11\text{ cm}^2

Step-by-step explanation:

Given: In a parallelogram ABCD, diagonals intersect at O and ar(ABCD) is 44 \text{cm}^2.

We need to find the area of triangle AOB.

We know that each diagonal divide the parallelogram in two equal parts and diagonals bisect each other.

It means both diagonals divide the parallelogram in 4 equal parts.

ar(AOB)=\dfrac{1}{4}\times ar(ABCD)

ar(AOB)=\dfrac{1}{4}\times 44

ar(AOB)=11

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5 0
3 years ago
Spila Motors Inc. earned income of $69,000 from its operating activities for a specified period. During the same period, it sold
11111nata11111 [884]

The right answer is Option C.

Step-by-step explanation:

Income = $69000

Gain = $3000

Total earned= Income + Gain

Total = 69000+3000=\$72000

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Expenses on non operating activities = $8000

Total expenses = 33000+8000 = $41000

Profit = Total earned - Total expenses

Net\ profit=72000-41000=\$31000

The net profit made by Spila was $31000.

The right answer is Option C.

Keywords: net profit, subtraction

Learn more about subtraction at:

  • brainly.com/question/4279146
  • brainly.com/question/4354581

#LearnwithBrainly

5 0
3 years ago
PLEASE HELP WILL MARK BRAINLIEST!!
noname [10]

Answer:

m∠A = 91°

m∠B = 146°

m∠C = 89°

m∠D = 34°

Step-by-step explanation:

  • If the four vertices of a quadrilateral lie on the edge of a circle, then this quadrilateral is called cyclic quadrilateral
  • In the cyclic quadrilateral each two opposite angles are supplementary (means the sum of their measures is 180°)
  • The sum of the measures of the interior angles of any quadrilateral is 360°

In quadrilateral ABCD

∵ A, B, C, And D lie on the circumference of the circle

∴ ABCD is a cyclic quadrilateral

∴ The sum of the measures of each opposite angles is 180°

∵ ∠A and ∠C are opposite angle in the cyclic quadrilateral ABCD

∴ m∠A + m∠C = 180°

∵ m∠A = (2x + 3)°

∵ m∠C = (2x + 1)°

- Add them and equate the answer by 180

∴ (2x + 3) + (2x + 1) = 180

- Add the like terms in the left hand side

∴ 4x + 4 = 180

- Subtract 4 from both sides

∴ 4x = 176

- Divide both sides by 4

∴ x = 44

Substitute the value of x in the expressions of angle A, C, D

∵ m∠A = 2(44) + 3 = 88 + 3

∴ m∠A = 91°

∵ m∠C = 2(44) + 1 = 88 + 1

∴ m∠C = 89°

∵ m∠D = x - 10

∴ m∠D = 44 - 10

∴ m∠D = 34°

- ∠B and ∠D are opposite angles in the cyclic quadrilateral ABCD

∴ m∠B + m∠D = 180°

∴ m∠B + 34 = 180

- Subtract 34 from both sides

∴ m∠B = 146°

5 0
3 years ago
The length of a rectangle is 4 cm longer than its width. If the perimeter of the rectangle is 44 cm, find its area.​
adell [148]
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Width:w
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4 years ago
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