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Delicious77 [7]
3 years ago
5

A star track runner ran 315 feet in nine seconds. What was his average speed in feet per second?

Mathematics
1 answer:
Burka [1]3 years ago
3 0
315 / 9 = 35
35 feet per second
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Given a right triangle with a hypotenuse of 6 cm and a leg of 4cm, what is the measure of the other leg of the triangle rounded
slega [8]

Answer:

4.5 cm=L2

Step-by-step explanation:

This problem can be solved using the pythagorian theoreme:

H=\sqrt{L1^{2}+L2^{2}  }

Where:

H=6 cm

L1=4 cm

L2=?

We isolate our incognita an we get:

\sqrt{H^{2}-L1^{2}} =L2

We supplant with the given data:

\sqrt{(6cm)^{2}-(4cm)^{2}} =L2

\sqrt{36cm^{2}-16cm^{2}} =L2

\sqrt{36cm^{2}-16cm^{2}} =L2

\sqrt{20cm^{2}} =L2

4.5 cm=L2

5 0
3 years ago
Group Sales Math Quiz
Andre45 [30]

Answer:

okay let's start

Step-by-step explanation:

3\% =  \frac{3}{100}  \\  = 0.03 \\ total \: sales \:  = 150000 \\ 0.03 \times 150000 = 4500 \\ \: for \: a \: month \\ therefore \: for \: a \: year \\ 4500 \times 12 = 54000 \\  \\ the \: answer \: is \: d

4 0
2 years ago
What are the restrictions for a? 2a^2+a-15/5a^2+16a+3
koban [17]

ANSWER


The restrictions are

a\ne -3,a\ne -\frac{1}{5}


EXPLANATION


We were given the rational function,


\frac{2a^2+a-15}{5a^2+16a+3}


The function is defined for all values of a, except



5a^2+16a+3=0


This has become a quadratic trinomial, so we need to split the middle term.


We do that by multiplying the coefficient of x^2 which is 5 by the constant term which is 3. This gives us 15.


The factors of 15 that adds up to 16 are 1 and 15.


We use these factors to split the middle term.




5a^2+15a+a+3=0


We now factor to get,


5a(a+3)+1(a+3)=0


We factor further to get,


(a+3)(5a+1)=0



This implies that,


(a+3)=0,(5a+1)=0


This gives


a=-3,a=-\frac{1}{5}


These are the restrictions.





8 0
3 years ago
What is the approximate value of 31 square root? MAFS.8.NS.1.2<br> 5<br> 6<br> 15<br> 16
PtichkaEL [24]

Answer:

6

Step-by-step explanation:

\sqrt{31} =5.56

Since it's 5.56, you'll want to round UP because 5 is in the tenths and is closer to 6

4 0
2 years ago
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Solve: absolute value of (6-4x) &lt; 24
Valentin [98]

Answer:

the answer is 9/2 therfore im just trying to get more words in

8 0
3 years ago
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