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3 years ago

How can you use greatest common factor and least common multiple to solve problems

Mathematics

1 answer:

ValentinkaMS [17]3 years ago

3 0

By doing 3x4 then you get the answer

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Find the perimeter and the area of the polygon with the given vertices. A (12,2) B (12,13) C (15,13) D (15,2)

ycow [4]

Answer:

perimeter= 28

area=33

Step-by-step explanation:

4 0

3 years ago

Doug hits a baseball straight towards a 15 ft high fence that is 400 ft from home plate. The ball is hit 2.5ft above the ground

Scorpion4ik [409]

Answer:

$125.4\ \text{m/s}$

Step-by-step explanation:

u = Initial velocity of baseball

$\theta$ = Angle of hit = $30^{\circ}$

x = Displacement in x direction = 400 ft

y = Displacement in y direction = 15 ft

$y_0$ = Height of hit = 2.5 ft

$a_y$ = g = Acceleration due to gravity = $32.2\ \text{ft/s}^2$

t = Time taken

Displacement in x direction

$x=u_xt\\\Rightarrow x=u\cos\theta t\\\Rightarrow t=\dfrac{x}{u\cos\theta}\\\Rightarrow t=\dfrac{400}{u\cos30^{\circ}}\\\Rightarrow t=\dfrac{400}{u\dfrac{\sqrt{3}}{2}}\\\Rightarrow t=\dfrac{800}{u\sqrt{3}}$

Displacement in y direction

$y=y_0+u_yt+\dfrac{1}{2}a_yt^2\\\Rightarrow y=y_0+u\sin\theta t+\dfrac{1}{2}a_yt^2\\\Rightarrow 15=2.5+u\sin30^{\circ}(\dfrac{800}{u\sqrt{3}})+\dfrac{1}{2}\times -32.2\times (\dfrac{800}{u\sqrt{3}})^2\\\Rightarrow \dfrac{400}{\sqrt{3}}-\dfrac{10304000}{3u^2}-12.5=0\\\Rightarrow 218.44=\dfrac{10304000}{3u^2}\\\Rightarrow u=\sqrt{\dfrac{10304000}{3\times218.44}}\\\Rightarrow u=125.4\ \text{m/s}$

The minimum initial velocity needed for the ball to clear the fence is $125.4\ \text{m/s}$

5 0

3 years ago

B) (x + 4) 1999 = 1<br> Find x

gulaghasi [49]

Answer:

Step-by-step explanation:

(X+4)1999=1

Open the bracket by multiplying 1999 by the values in the bracket

1999x + 7996 = 1

Collect like terms

1999x = 1-7996

1999x = -7995

Divide both sides by 1999

X = -3.99

8 0

4 years ago

How can I solve each system of liner equations by substitution?

natka813 [3]

I hope you can read cursive and I hope this helps! (:

8 0

3 years ago

What is 22 3/4÷2 as a fraction,?<br>

nordsb [41]

Answer:

11375 / 1000

Hope This Helps! Have A Nice Day!!

4 0

3 years ago