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PSYCHO15rus [73]
3 years ago
7

As the earth rotates, it travels a distance of 80 miles in 5 minutes. At this constant rate, which equation best represents y, t

he total distance the earth travels in x minutes?

Mathematics
1 answer:
solniwko [45]3 years ago
6 0

Answer:

y=16x

Step-by-step explanation:

So, you are given the equation as if y=total distance the earth travels in x minutes. If you are given that you travel 80 miles in 5 minutes, you can plug  these value into the variables they are representing and solve for the constant.

Visual:

y=xk          y=miles        x=minutes         k=constant

Plug in your values and you get:

80=5k

Now, you solve for k by diving 5 on both sides, which leaves you with k=16.

Now you plug your value for k into the original equation, leaving you with y=16x

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En un triángulo rectángulo A es un ángulo agudo y Sen A = 4/5 ¿Cuál será el valor de Tan A?
Nonamiya [84]

Answer:

\displaystyle \tan A=\frac{4}{3}

Step-by-step explanation:

<u>Funciones Trigonométricas</u>

La identidad principal en trigonometría es:

sen^2A+cos^2A=1

Si sabemos que A es un ángulo agudo (que mide menos de 90°), su seno y coseno son positivos.

Dado que Sen A = 4/5, calculamos el coseno:

cos^2A=1-sen^2A

Sustituyendo:

\displaystyle cos^2A=1-\left(\frac{4}{5}\right)^2

\displaystyle cos^2A=1-\frac{16}{25}

\displaystyle cos^2A=\frac{25-16}{25}

\displaystyle cos^2A=\frac{9}{25}

Tomando raíz cuadrada:

\displaystyle cos\ A=\sqrt{\frac{9}{25}}=\frac{3}{5}

La tangente se define como:

\displaystyle \tan A=\frac{sen\ A}{cos\ A}

Substituyendo:

\displaystyle \tan A=\frac{\frac{4}{5}}{\frac{3}{5}}

\displaystyle \tan A=\frac{4}{3}

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3 years ago
Y/18 = 6/9<br><br> solve for Y with explanation
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3 years ago
Tammy has a job that has a weekly salary of $1,200 but wants to switch a job that has a monthly salary of $11,700. How much more
iogann1982 [59]

Answer:

$1529.8

Step-by-step explanation:

Given:

Tammy has a job that has a weekly salary of $1,200.

But wants to switch a job that has a monthly salary of $11,700

Question asked:

How much more will she make per week if she switch to the new job?

Solution:

Monthly salary of a new job, she wants to switch = $11,700

Weekly salary  of a new job, she wants to switch = ?

As we know : 1 month = 4.286 Weeks

Salary of 1 month for a new job, she wants to switch = $11,700

Salary of  4.286 Weeks  for a new job, she wants to switch =  $11,700

Salary of 1 Week  for a new job, she wants to switch = 11700\div4.286=\$2729.81

Now, we have to find that How much more she will make per week,  if she switch to the new job.

More money she will make for a new job she wants o switch = Weekly salary for a new job, she wants to switch  - Weekly salary of current job

More money she will make, for a new job = $2729.8 - $1200 = $1529.8

Therefore, she will  make $1529.8 more  per week if she switch to the new job.

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3 years ago
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Alex

Answer:

174339220050

Step-by-step explanation:

50(3^20)

=(50)(3486784401)

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