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3 years ago

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While on a one-hour trip, a small boat travels 32 km north and then travels 45 km east. what is the direction of the boat's aver

age velocity for the one-hour trip? 27° north of east 35° north of east due east 54° north of east 45° north of east?

1 answer:

Anuta_ua [19.1K]3 years ago

4 0

Sent a picture of the solution to the problem (s).

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PLEASE HELPP !! The ceiling of Stacy's living room is a square that is 25 ft long on each side. Stacy knows the diagonal of the

EleoNora [17]

Answer:

a) d = 36 ft. ( using Pithagoras´theorem )

b) d = 36 ft ( Using ( function sin ) trigonometry

Step-by-step explanation:

a) Using Pythagoras´Theorem:

Diagonal (d) is the hypothenuse of a right triangle of side 25 feet, and according to Pythagoras´Theorem in a right triangle.

d² = a² + b²

In this particular case a = b = 25 feet then

d² = (25)² + ( 25)²

d = √ 2 * (25)²

d = √2 * 25

d = 1,414*25

d = 35,35

d = 36 ft.

b) Using trigonometry:

We know that sin 45° = cos 45° = √2 / 2

In a right triangle

sin α = opposite side / hypothenuse (d)

sin 45° = √2 / 2 = 25/ d

√2 *d = 2* 25

d = 50/√2

d = 50 / 1,414

d = 35,36

d = 36 ft

6 0

3 years ago

ALGEBRA<br> EQUATION<br> PLEASE HELP ASAP<br><br> -3=12y-5(2y-7)

Dovator [93]

Simplify:

−3=12y−5(2y−7)

−3=12y+(−5)(2y)+(−5)(−7)(Distribute)

−3=12y+−10y+35

−3=(12y+−10y)+(35)(Combine Like Terms)

−3=2y+35

Flip the equation.

2y+35=−3

Subtract 35 from both sides.

2y+35−35=−3−35

2y=−38

Divide both sides by 2.

2y/2=−38/2

y=−19

3 0

3 years ago

Read 2 more answers

How are the graphs of the functions f(x) = and g(x) = related?

RSB [31]

The x variable, that is being multiplied.

4 0

3 years ago

3. Factor the following trinomial. x^2 - 15x + 56.

makkiz [27]

Answer:

(x-7) (x-8)

Step-by-step explanation:

Break the expression into groups:

= x(x-7) -8(x-7)

Factor out x from:

x^2-7x x(x-7)

Factor out -8 from -8x+56:

-8(x-7)

=x\left(x-7\right)-8\left(x-7\right)

8 0

2 years ago

Read 2 more answers

The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater

LenaWriter [7]

Answer:

Function 1 has the larger maximum at (4, 1)

Explanation:

After observation, graph of function 1 has vertex at Maximum (4, 1)

In order to find vertex of function 2, complete square the equation.

f(x) = -x² + 2x - 3

f(x) = -(x² - 2x) - 3

f(x) = -(x - 1)² - 3 + (-1)²

f(x) = -(x - 1)² - 2

Vertex form: y = a(x - h)² + k where (h, k) is the vertex

So, here for function 2 vertex: Maximum (1, -2)

<h3>Conclusion:</h3>

Function 1 = Maximum (4, 1), Function 2 = Maximum (1, -2)

Function 1 has greater maximum value of (4, 1) as "1 is greater than -2"

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1 year ago