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lions [1.4K]
3 years ago
12

What’s the lowest common multiple of 120 and 75

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
5 0
<h2>Answer:  600</h2>

Step-by-step explanation:

prime factorization of 75:

75 = 3 × 5 × 5

prime factorization of 120:

120 = 2 × 2 × 2 × 3 × 5

LCM = 2 × 2 × 2 × 3 × 5 × 5

There for the LCM = 600

* HOPEFULLY THIS HELPS:) Mark me the brainliest:)!!

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I upped the steaks plz answer this, I will give brainiest
Bad White [126]

Answer:

\displaystyle   x =   \frac{3}{4}

Step-by-step explanation:

we are given that

\displaystyle P =  \left(x,  - \frac{  \sqrt{7} }{4}  \right)

we want to figure out x

remember that,

In <u>unit</u><u> </u><u>circle</u> x coordinate is considered cos and y coordinate is considered sin

so in order to figure out x we should figure out the value of <u>cos</u> to do we can consider <u>Pythagoras</u><u> trig</u><u> </u><u>indentity</u>

given by

\displaystyle  \sin ^{2} ( \theta)  +  {  \cos}^{2} ( \theta) = 1

we are given sin=-√7/4 thus

substitute:

\displaystyle   \left( - \frac{ \sqrt{7}  }{4}  \right) ^{2}   +  {  \cos}^{2} ( \theta) = 1

simplify square:

\displaystyle  \frac{7}{16}  +  \cos ^{2} ( \theta)  = 1

move left hand side expression to right hand side and change its sign:

\displaystyle   \cos ^{2} ( \theta)  = 1 -  \frac{7}{16}

simplify Substraction:

\displaystyle   \cos ^{2} ( \theta)  =  \frac{9}{16}

square root both sides:

\displaystyle   \cos ^{} ( \theta)  =   \pm\frac{3}{4}

since in unit circle cos is x and P belongs to Q:IV negative cos isn't applicable

hence,

\displaystyle   x =   \frac{3}{4}

5 0
3 years ago
What type of function is y=2x^2
anastassius [24]
I guess the function is a parabola with vertex at (0,0) and opens down so the range is (-infinity, 0].
4 0
3 years ago
These lines are below are parallel if the slope of the green line is -4 what is the slope of the red line
Alja [10]

Answer:

The slope would also be -4.

Step-by-step explanation:

This is because parallel lines have the exact same slope. Since these two lines are parallel and the first has a slope of -4, the second must as well.

7 0
3 years ago
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Which term best describes the relationship between the two events described below?
8_murik_8 [283]
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6 0
2 years ago
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Sviatoslav solved the quadratic equation x^2-x-1=0 by completing the square. In the process, he came up with the equivalent equa
zimovet [89]

Answer:

x=\frac{1+\sqrt5}{2} and  x=\frac{1-\sqrt5}{2}

and b=\frac{5}{4}

Step-by-step explanation:

We are given that a quadratic equation

x^2-x-1=0

We have to solve the equation by completing square and find the value of b.

(x)^2-2\times x\times \frac{1}{2}+(\frac{1}{2})^2-(\frac{1}{2})^2-1=0

(x-\frac{1}{2})^2-\frac{1}{4}-1=0

(x-\frac{1}{2})^2-\frac{1-4}{4}=0

(x-\frac{1}{2})-\frac{5}{4}=0

(x-\frac{1}{2})^2-(\frac{\sqrt5}{2})^2=0

(x-\frac{1}{2})^2=(\frac{\sqrt5}{2})^2

x-\frac{1}{2}=\frac{\sqrt5}{2} and x-\frac{1}{2}=-\frac{\sqrt5}{2}

x=\frac{\sqrt5}{2}+\frac{1}{2}=\frac{1+\sqrt5}{2}

And x=\frac{1}{2}-\frac{\sqrt5}{2}=\frac{1-\sqrt5}{2}

Therefore,x=\frac{1+\sqrt5}{2} and  x=\frac{1-\sqrt5}{2}

and b=\frac{5}{4}

6 0
3 years ago
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