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3 years ago

How many right angles are there in 270 degrees

Mathematics

1 answer:

jenyasd209 [6]3 years ago

6 0

$right\ angles=90^o\\\\therefore\ 270^o:90^o=\boxed{3\ (times)}$

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ollegr [7]

Answer:

P + Q = 1

Step-by-step explanation:

Given: $\frac{1+\sqrt{3} }{1-\sqrt{3} }$ = P - $\sqrt{Q}$

This is a question on surd, so we need to rationalize the denominator to have;

$\frac{1+\sqrt{3} }{1-\sqrt{3} }$ * $\frac{1+\sqrt{3} }{1+\sqrt{3} }$ = $\frac{1+\sqrt{3}+\sqrt{3} + 3}{1+\sqrt{3}-\sqrt{3} -3 }$

= $\frac{4+ 2\sqrt{3} }{1-3}$

= $\frac{4+2\sqrt{3} }{-2}$

= -2 - $\sqrt{3}$

Thus,

-2 - $\sqrt{3}$ = P - $\sqrt{Q}$

⇒ P = -2 and Q = 3

Therefore, the value of P + Q = -2 + 3

= 1

Thus,

P + Q = 1

5 0

3 years ago

What is the sum of the length of the longest meteor and the length of the shortest meteor? (4 points)

Nimfa-mama [501]

Answer:

two and one eighth inches

8 0

3 years ago

Describe the end behavior of f(x)=-2x^3 using the leading coefficient and degree, and state the domain and range

astra-53 [7]

Answer:

See explanation for end behavior below

Domain = All Real numbers

Range = All Real numbers

Step-by-step explanation:

This is a typical power function of order 3, and since its coefficient is a negative one (-2), its end behavior is:

As x becomes more and more negative (moving towards the left of the horizontal axis, the values for y will become larger and larger (reaching very positive numbers on the y scale). As x becomes larger and larger (moving towards large values on the positive side of the horizontal axis, the related y values will become more and more negative.

The Domain of the function (the x-values for which the function is defined) consists of all Real numbers.

The same is true for the Range, since the y-values spread over all the real number line.

5 0

3 years ago

which equation represents a line that passes through the point ( 6,-3 ) and is parallel to the graph of y = 3x + 1

Alex787 [66]

Answer:

Equation of a line that passes through the point ( 6,-3 ) and is parallel to the graph of y = 3x + 1 is $\mathbf{y=3x-21}$

Step-by-step explanation:

We need to write equation of a line that passes through the point ( 6,-3 ) and is parallel to the graph of y = 3x + 1

The equation will be in slope-intercept form i.e $y=mx+b$ where m is slope and b is y-intercept.

Finding Slope

Since the lines are parallel to each other, their slopes will be equal.

Slope of given line: y = 3x + 1 is 3 (Compare it with general equation $y=mx+b$ we get m = 3)

So, slope of required line is: m=3

Finding y-intercept

Using the point (6,-3) and slope m = 3 we can find y-intercept by using the formula:

$y=mx+b\\-3=3(6)+b\\-3=18+b\\b=-3-18\\b=-21$

So, we get y-intercept: b= -21

Equation of required line

The equation of required line having slope m=3 and y-intercept b = -21 is: $y=mx+b\\y=3x-21$

So, equation of a line that passes through the point ( 6,-3 ) and is parallel to the graph of y = 3x + 1 is $\mathbf{y=3x-21}$

8 0

3 years ago

Is a polyhedron basically a 3-D shape?

bazaltina [42]

Yep! Poly means "many," and hedron means "face." It quite literally means many faces.

8 0

3 years ago

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