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3 years ago

7. Assume two people, Swanson and Suzie, are standing 35 feet apart and are watching a boat

Mathematics

2 answers:

kolbaska11 [484]3 years ago

7 0

Answer:

78.4 ft

Step-by-step explanation:

Part I:

Missing angle = 180° - (130 + 30) (sum of angles in a triangle)

= 180° - 160°

Missing angle = 20°

Part II: distance (d) from Swanson to the boat

Law of Sines is given as:

$\frac{a}{sin(A)} = \frac{b}{sin(B)}$

Where,

a = d

A = 130°

b = 35 ft

B = 20°

Plug in the values and solve for d

$\frac{d}{sin(130)} = \frac{35}{sin(20)}$

Multiply both sides by sin(130) to make d the subject of the formula

$\frac{d}{sin(130)}*sin(130) = \frac{35}{sin(20)}*sin(130)$

$d = \frac{35*sin(130)}{sin(20)}$

$d = 78.4 ft$

maw [93]3 years ago

4 0

78.4 ft hope this helped good luck on the test or quiz or whatever it is good luck

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2 years ago

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The missing angle of the given triangle is 59°.

What is vertically opposite angles?

Angles that are vertically opposed to one another are always equal to one another. A vertical angle and the angle to which it is next are also supplementary angles; that is, they sum up to 180 degrees. As an illustration, if two lines connect to form an angle, say X=45°, then the angle's opposite angle is also 45°.

Here consider angle with 31° and 49° triangle is 1. We know that sum of all angles in triangle is add upto 180°. Then,

⇒ 49°+31°+x = 180°

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Then unknown angle in triangle 1 ia 100°.

Now according to the vertically opposite angle theorem , opposite angles are equal to each other. Then ,

In triangle 2 angle is 100° and 21°. Then missing angle is,

⇒ 100°+21°+missing angle =180°

⇒Missing angle = 180°-100°-21°

⇒Missing angle = 59°

Therefore the answer is 59°.

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1 year ago

A diagonals of a parallelogram measures 37 inches. The size measures 35 inches and 1 foot. Is the parallelogram a rectangle?

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No, a parallelogram is not a rectangle. meaning it has a completely different area formula, I know it sucks.

Formula: base × height

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There is a boardwalk game at Point Pleasant where you are blindfolded to throw darts at a board full of balloons. Each time a da

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The given number of balloons, green = 10, purple = 4, red = 5, tie-dye = 2, black = 3, gives;

a. 5/138

b. 25/276

c. 5/1012

d. 35/46

<h3>How can the different probabilities be calculated mathematically?</h3>

Given parameters;

Number of balls;

Green = 10

Purple = 4

Red = 5

Tie-dye = 2

Black = 3

Mode of selection = Without replacement

Number of balloons = 10+4+5+2+3 = 24

a. Probability of popping a red balloon = 5/24

Probability of popping a second red balloon = 4/23

Therefore;

Probability of popping two reds consecutively = 5/24 × 4/23 = 5/138

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Therefore;

Probability of popping a red and then a green balloon = 5/24 × 10/23 = 25/276

c. Probability that the first balloon that pops is a red = 5/24

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The probability, <em>P</em>, is therefore;

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Probability that the first balloon is not a tie-dye = 1 - 1/12 = 11/12

Probability that the second balloon is not a tie-dye = 21/23

Similarly;

Probability that the third balloon is not a tie-dye = 20/22 = 10/11

Which gives;

The probability, <em>P</em>, of popping anything but a tie-dye on three consecutive throws is therefore;

P = 11/12 × 21/23 × 10/11 = 35/46

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