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4 years ago

Seth traveled 1 mile in 57.1 seconds. About how fast does Seth travel in miles per hour?

Mathematics

2 answers:

jeka57 [31]4 years ago

7 0

So, 60/57.1 = 1.05
1*1.05 = 1.05
1.05 * 60 = 63 mph
Hope this helps
Brainliest Please!

a_sh-v [17]4 years ago

4 0

63.0472854642 hope that helps.

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(20 points)Solve the equation cos x = sin (x + 22)

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Answer:

$\bold{x = 34^\circ}$

Step-by-step explanation:

Given:

$cos x = sin (x + 22^\circ)$

To solve:

The given equation.

Solution:

First of all, let us consider an important property of sine and cosine.

$sin(90^\circ-\theta )=cos\theta$

$cos(90^\circ-\theta )=sin\theta$

We can apply above property to solve for $x$ as per given equation.

$cos x = sin (x + 22^\circ)$

Changing $cosx$ to sine form:

$cosx=sin(90^\circ-x)$

$cosx=sin(90^\circ-x) = sin(x+22^\circ)$

$\therefore 90^\circ-x=x+22^\circ\\\Rightarrow 90^\circ-22^\circ=x+x\\\Rightarrow 2x=68^\circ\\\Rightarrow \bold{x = 34^\circ}$

So, solution to the equation $cos x = sin (x + 22^\circ)$ is:

$\bold{x = 34^\circ}$

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3 years ago

One sample of n = 10 scores has a mean of M = 8, and a second sample of n = 5 scores has a mean of M = 2. If the two samples are

schepotkina [342]

Answer:

The mean for the combined sample = 6.

Step-by-step explanation:

We have been given that one sample of n = 10 scores has a mean of M = 8.

So the sum of 10 scores for 1st sample will be: $10\times 8=80$

We are also told that second sample of n = 5 scores has a mean of M = 2.

So the sum of 5 scores for 2nd sample will be: $5\times 2=10$

When the both samples are combined, so total points will be: $80+10=90$ and total scores will be $10+5=15$ .

$\text {Mean for the combined sample}=\frac{\text{Total points of both data sets}}{\text{Total scores of both data sets}}$

$\text {Mean for the combined sample}=\frac{90}{15}$

$\text {Mean for the combined sample}=6$

Therefore, the mean for the combined sample will be 6.

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3 years ago

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3 years ago

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kondaur [170]

Answer:

81.2222 or 81 with 2 left over

Step-by-step explanation:

731/9 = 81.2222

81.2222 rounded down = 81

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3 years ago

On a survey, 6 students reported how many minutes it takes them to travel to school. Here are their responses.

g100num [7]

The mean would be 8.33

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