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sergij07 [2.7K]
3 years ago
13

57.42

Mathematics
1 answer:
Fofino [41]3 years ago
7 0

Hi there!

\large\boxed{a = 6 m/s^{2}}

Use the kinematic equation to solve for acceleration:

a = \frac{v_{f}-v_{i}}{t}

Where:

vf = final velocity

vi = initial velocity

t = time

Plug in the given values:

a = \frac{65-35}{5}\\\\a = 30 / 5  \\\\=6 m/s^{2}

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Simplify the expression below (example x2 = x^2<br> (2a^2)(14a^5)
lutik1710 [3]

Answer:

28a^7

Step-by-step explanation:

Rewrite using commutative property of multiplication 2•14 (a^2a^5)

Multiply the a^2 and a^5

2•14a^7

Multiply the 2 and 14

28a^7

8 0
3 years ago
What are the answers
Marizza181 [45]

Answer:

Given any straight line and a point not on it, there "exists one and only one straight line which passes" through that point and never intersects the first line, no matter how far they are extended. This statement is equivalent to the fifth of Euclid's postulates, which Euclid himself avoided using until proposition 29 in the Elements. For centuries, many mathematicians believed that this statement was not a true postulate, but rather a theorem which could be derived from the first four of Euclid's postulates. (That part of geometry which could be derived using only postulates 1-4 came to be known as absolute geometry.)

Also draw the line straight line them up. To me it would be best if you use a ruler.

8 0
3 years ago
A rocket travels 2.8x10^4 km h^-1. find how far it travels in 5 hours
mixas84 [53]

It is given in the question that, a rocket travels 2.8x10^4 km h^-1.

It means in one hour, the rocket travels

2.8* 10^4km.

And we have to find how much the rocket travels in 5 hours, and for that we have to do multiplication, that is

2.8*10^4 *5 = 14*10^4 = 1.4* 10^5 km

8 0
3 years ago
4. Solve the following system of equations for x.
Ber [7]

We are given the system of equations -:

\large{ \begin{cases} 2x + 3y =  - 14 \\ y = 6x + 22 \end{cases}}

Since the second equation is y-isolated equation. It can be substituted as y = 6x+22 in the first equation.

\large{2x + 3(6x + 22) =  - 14}

Expand 3 in the expression so we can combine like terms and isolate x-variable.

\large{2x + 18x + 66 =  - 14}

Then combine like terms.

\large{20x + 66 =  - 14}

Get rid of 66 from the left side by subtracting both sides by itself.

\large{20x + 66 - 66 =  - 14 - 66} \\  \large{20x =  - 80}

To finally isolate the variable, divide both sides by 20 so we can leave x only on the left side.

\large{ \frac{20x}{20}  =  \frac{ - 80}{20} }

Simplify to the simplest form.

\large{x =  - 4}

Normally, we have to find the y-value too but since we only find x-value. The answer is x = -4.

Answer

  • x = -4

I hope this helps! If you have any questions or doubts regarding my answer, explanation or system of equations, feel free to ask!

5 0
3 years ago
Calculate the area of the shaded sector.<br><br> 11.73<br><br> 11.2<br><br> 11.4<br><br> 11.83
laiz [17]
The formula for the area of a circle is

A=πr²
plug in the data we know
A=π4²
A=16π

Since we only we need to find the area of the shaded section, we need to twerk this equation a bit. (remember that the shaded section is 84/360 of the original circle.)

A=84/360*16π
A=11.728
A=11.73 units²


answer: <span>A=11.73 units²</span>
4 0
3 years ago
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