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Rus_ich [418]
3 years ago
11

a car moves 35 miles per hour travels a distance of 51.3 feet each second. about how far does a car travel in 7.1 seconds ?

Mathematics
1 answer:
Sergio039 [100]3 years ago
8 0
If you would like to know about how far does a car travel in 7.1 seconds, you can calculate this using the following steps:

51.3 feet ... 1 second
x feet = ? ... 7.1 seconds

51.3 * 7.1 = x * 1
x = 51.3 * 7.1
x = 364.23 feet

The correct result would be 364.23 feet in 7.1 seconds.
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Albert wants to show that tan(theta)sin(theta)+cos(theta)=sec(theta). He writes the following proof:
Nataly_w [17]
We have that
<span>tan(theta)sin(theta)+cos(theta)=sec(theta)
</span><span>[sin(theta)/cos(theta)] sin(theta)+cos(theta)=sec(theta)
</span>[sin²<span>(theta)/cos(theta)]+cos(theta)=sec(theta)

</span><span>the next step in this proof
is </span>write cos(theta)=cos²<span>(theta)/cos(theta) to find a common denominator
so

</span>[sin²(theta)/cos(theta)]+[cos²(theta)/cos(theta)]=sec(theta)<span>

</span>{[sin²(theta)+cos²(theta)]/cos(theta)}=sec(theta)<span>

remember that 
</span>sin²(theta)+cos²(theta)=1
{[sin²(theta)+cos²(theta)]/cos(theta)}------------> 1/cos(theta)
and 
1/cos(theta)=sec(theta)-------------> is ok

the answer is the option <span>B.)
He should write cos(theta)=cos^2(theta)/cos(theta) to find a common denominator.</span>
6 0
3 years ago
Read 2 more answers
The Pythagorean theorem is a² + b² = c². Solve for b. b=±c+a−−−−√ b=±c2−a2−−−−−−√ b=±c2+a2−−−−−−√ b=±c−a−−−−√
uysha [10]

a^{2} +b^{2} =c^{2}

As we have to solve for b, it means we have to isolate b

So first of all subtract a^{2} from both sides

So we get

b^{2} =c^{2} -a^{2}

Now we need b , but its b^2 , so we can take square root on both sides.


taking square roots on both sides

b= +- \sqrt{c^2 -a^2}


Hence option B is correct

4 0
3 years ago
Passes through (3,5) and (-1,5)
AlladinOne [14]
Presumably we're being asked for the line which passes through (3,5) and (-1,5) which is simply y=5.


3 0
3 years ago
It was reported in your department meeting that over the past year your hospital decreased the number of employees by four perce
Tju [1.3M]

Answer:

Number of people employed this year = 373

Step-by-step explanation:

Let the number of employees this year = x

These employees were decreased by 4% then the remaining number of employees this year = x - (4% of x)

= x - 0.04x

= 0.96x

If last year number of people employed were 389 then the number of people employed this year = 0.96×389

= 373.44

When rounded to whole number, number of people employed this year = 373.

7 0
3 years ago
The square of a number is 12 less then 7 times the number. 2hat is the number
Salsk061 [2.6K]
Hello.

The are answer is 4 or 3 
<span>

3^2 = 7(3) - 12
9 = 21 - 12
9 = 9

</span>4^2 = 7(4) - 12
16 = 28 - 12
16 = 16

Have a nice day
3 0
3 years ago
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