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makkiz [27]
2 years ago
7

7. A boy on ice skates has a momentum of 200 kg m/s to the left at a velocity of 20

Mathematics
1 answer:
tankabanditka [31]2 years ago
4 0

Answer: 10 m/s

Step-by-step explanation:

Given

Momentum of boy P=200\ kg.m/s

Mass of boy is m=20\ kg

Momentum is the product of mass and velocity

P=mv

Substitute value

\Rightarrow 200=20\times v\\\Rightarrow v=10\ m/s

Thus, the boy is moving with a velocity of 10 m/s

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Solve inequalities.
grigory [225]

Answer:

10. 7n - 1 < -8

Isolate the variable, n. Do the opposite of PEMDAS. Treat the < as equal sign, what you do to one side, you do to the other. First, add 1 to both sides:

7n - 1 (+1) < - 8 (+1)

7n < - 8 + 1

7n < - 7

Isolate the variable, n. Divide 7 from both sides:

(7n)/7 < (-7)/7

n < -7/7

n < -1

n < -1 is your answer.

11. 3 > -7v + 4v

Combine like terms, then isolate the variable, v. First, add -7v and 4v together.

3 > (-7v + 4v)

3 > (4v - 7v)

3 > (-3v)

Isolate the variable, v. Divide -3 from both sides. Note that since you are dividing a negative number, you must flip the sign:

(3)/-3 > (-3v)/-3

3/-3 > v

-1 < v

v > -1 is your answer.

~

4 0
3 years ago
a scale drawing of a building needs to be made using the scale 1 in = 190 ft. how tall will the builging in the scale drawing be
Artist 52 [7]

Answer:

\boxed{\text{3 in}}

Step-by-step explanation:

1 in = 190 ft

x in = 570 ft

We can use ratio and proportion to solve this problem.

\begin{array}{cccl}\dfrac{1}{x} & = & \dfrac{190}{570} & \\\\570 & = & 190x & \text{Mutiplied by lowest common denominator (570x)}\\3 & = & x & \text{Divided each side by 3}\\\end{array}

The building will be \boxed{\textbf{3 in}} tall in the scale drawing.

3 0
3 years ago
By which rule are these triangles congruent?
Hunter-Best [27]

Answer:

A. AAS

Step-by-step explanation:

In both triangles, the line mn and jh are congruent, the angles k and g are congruent, and h and m are congruent.

5 0
2 years ago
If the simple interest on ​$4000 for 8 years is ​$2240​, then what is the interest​ rate?
mixer [17]

~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$2240\\ P=\textit{original amount deposited}\dotfill & \$4000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &8 \end{cases} \\\\\\ 2240 = (4000)(\frac{r}{100})(8) \implies 2240=\cfrac{32000r}{100}\implies 2240=320r \\\\\\ \cfrac{2240}{320}=r\implies 7=r

5 0
1 year ago
Whats the answer<br> 1 3 x + 9 ?
Natasha_Volkova [10]

Answer:-2

Step-by-step explanation:

7 0
3 years ago
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