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Annette [7]
3 years ago
9

Factor the expression 54x+8154x+81 using the GCF. 54x+81=54x+81=

Mathematics
1 answer:
nadya68 [22]3 years ago
6 0
We know that GCF stands for Greatest Common Factor and hence we need to apply this in solving the given problem. The solution is shown below:
54x+8154x+81
Combine same terms, we have:
8208X+81
Factoring with the greatest common factor which is 27
304x+3
The answer for the factored expression is 304X + 3.

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What is the momentum of each hockey player? Hockey player 1 has a mass of 65 kg and a velocity of 3.8 m/s
DaniilM [7]

Answer:

Momentum of  hocking player 1: 247\ kg\ m/s

Hockey player 2: =249.4\ kg\ m/s

Step-by-step explanation:

For first hockey player :

Given that

mass (m) =65\ kg

Velocity (v) =3.8\ m/s

p=mv\................(1)

where p is momentum

put the value in equation (1)

p=65\times3.8\\\\p=247kg\times m/s

For second hockey player :

Given that

mass (m) =58\ kg

velocity (v) =4.3\ m/s

p=mv\ ...............(2)

Where p is momentum

put the value in equation (2)

p=58\times4.3\\p=249.4\ kg\times m/s

6 0
3 years ago
Victor stands 20 meters from a building that is 45 meters tall. He looks up at the roof edge of the building. What is the measur
Gwar [14]

We know that the height of the building is 45m, and the distance between the building and victor is 20m. Since the problem does not state the height of Victor, we can assume that horizontal line of sight of Victor coincides with the base of the building. This gives us a right triangle with angle x and sides 45m and 20m, as you can see in the diagram.

Now, to find the value of the angle x, we will need a trigonometric function that relates the opposite side of our angle x with the adjacent side of it; that trigonometric function is tangent. Remember that tangent (\alpha) = \frac{oppositeside}{adjacentside}

We know for our diagram that the opposite side of Victor's angle of inclination, x, is the height of the building (45m), and the adjacent side of it is the distance between Victor and the building (20m). Now we can replace the values in our tangent equation to get:

tan(x)= \frac{45}{20}

But we need to find the value of x not the value of tangent, so we are going to use the inverse function of tangent, arctangent (arctan)

x=arctan( \frac{45}{20} )to solve the equation for x:

x=66

We can conclude that Victor's angle of inclination from he stands to the top of the building is 66°.



5 0
4 years ago
The sum of three consecutive odd integers is 81
Aliun [14]
N+2 and n+4.n+4 given that their sum is 81
5 0
3 years ago
Read 2 more answers
28 is what percent to 31
cupoosta [38]

if we take 31 to be the 100%, what is 28 off of it in percentage?

\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 31&100\\ 28&x \end{array}\implies \cfrac{31}{28}=\cfrac{100}{x}\implies 31x=2800\implies x=\cfrac{2800}{31} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill x\approx 90.32~\hfill

4 0
4 years ago
A worker earned $80 and 70% of it into the bank how many dollars did he put into the bank
MA_775_DIABLO [31]

Answer:

$56

Step-by-step explanation:

80 * .70 = 56

3 0
3 years ago
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