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kaheart [24]
2 years ago
5

A shark swimming in the ocean sees a passing fish swimming by and accelerates at 2 m/s2 to a speed of 20 m/s to overtake it, doi

ng so in 3 seconds. What was the shark’s initial speed? Round to 1 decimal place and include unit in your response.
Mathematics
1 answer:
ratelena [41]2 years ago
5 0

Answer:

The answer to your question is:      is = 14 m/s

Step-by-step explanation:

Data

acceleration = 2 m/s² = a

final speed = 20 m/s = sf

time = 3 seconds = t

initial speed = ? = is

Formula

sf = is + at

is = sf - at

Substitution

                        is = 20 - (2)(3)

                        is = 20 - 6

                        is = 14 m/s

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Hazel covered a box with felt. The dimensions of the box are shown in the figure below:
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2 years ago
A kind teacher gives you 20 cents for every question you get right, but you have to pay the
sergey [27]

Answer:

Let n be the number of questions you got right. Then

30-n equals the number of questions you got wrong.

So:

A) 20n-10(30-n)=180

30n-300=180

30n=480

n=16

30-n=14

B)You got <u>16</u> questions right and <u>14</u> questions wrong.

7 0
2 years ago
There are 90 sixth graders at Wilson Middle School. Only 50% of the sixth graders will attend the morning assembly. How many six
SVETLANKA909090 [29]

Answer: 45


Step-by-step explanation:

Divide 90 by 2 and you will the the answer of 45.

7 0
2 years ago
Read 2 more answers
Un globo vuela entre dos ciudades A y B, que distan entre sí 1.500 m. Los tripulantes del globo ven la ciudad A con un ángulo de
enot [183]

Answer:

La altura del globo con respecto al suelo es 449,6 metros.

Step-by-step explanation:

La afirmación está incompleta. El enunciado completo es: "Un globo vuela entre dos ciudades A y B, que distan entre sí 1.500 m. Los tripulantes del globo ven la ciudad A con un ángulo de depresión de 27°, mientras que para ver la ciudad B es de 36°. ¿Cuál es la altura aproximada del globo con respecto al suelo?

El diagrama geométrico de la situación se encuentra descrita en el archivo adjunto. La altura aproximada del globo puede obtenerse con ayuda de las funciones trigonométricas, en este caso, se recomienda utilizar la función tangente de los ángulos de depresión:

Ciudad A

\tan 27^{\circ} = \frac{h}{1500\,m-x}

0,510 = \frac{h}{1500\,m-x}

Ciudad B

\tan 36^{\circ} = \frac{h}{x}

0,727 = \frac{h}{x}

Donde h y x son la altura con respecto al suelo y la distancia horizontal con respecto a la ciudad A.

A continuación, se elimina la altura de ambas ecuaciones por igualación y se determina la distancia horizontal del globo con respecto a la ciudad A:

0,727\cdot x = 0,510\cdot (1500\,m-x)

1,237\cdot x = 765\,m

x = 618,432\,m

Finalmente, la altura del globo con respecto al suelo es:

h = 0,727\cdot x

h = 0,727\cdot (618,432\,m)

h = 449,600\,m

La altura del globo con respecto al suelo es 449,6 metros.

6 0
2 years ago
A sailor is looking at a kite. If he is looking at the kite at an angle of elevation of 36and the distance from the boat to the
Nonamiya [84]

Answer:

Height of the kite from the ground is 29.2 feet.

Step-by-step explanation:

For better explanation of the solution, see the figure attached :

The angle formed by the height of kite to that of the surface of the ground is right angle.

⇒ m∠ABC = 90°

Let angle of elevation be θ

Now, to find height of the kite : find length of AB

In right angled triangle ABC , using tan rule, we have\tan\theta=\frac{Perpendicular}{Base}\\\\\tan36^{\circ}=\frac{AB}{BC}\\\\\implies \tan36^{\circ}=\frac{AB}{40}\\\\\implies AB=0.73\times 40\\\\\bf\implies AB=29.2\thinspace{ feet}

Hence, Height of the kite from the ground is 29.2 feet.

7 0
2 years ago
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