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3 years ago

Please help!! Brainliest!!

Mathematics

1 answer:

Serggg [28]3 years ago

3 0

I removed all eight corners, leaving the total area unchanged.

I removed the central cube of the top surface obtaining an increase of the surface area with four units.

I removed one cube from the middle of an edge at the top (any of the four remaining) and I arrived at a figure with ten cubes less then the original one but with the same surface area.

https://nrich.maths.org/787/solution

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What is the probability that the next person you meet was not born in February? No leap years.

Serjik [45]

Answer:

Step-by-step explanation:

Since there are 28 days in a regular February and 365 days in a total year, the probability that a random person is born in February is 28/365. This means that the probability that they were NOT born in February is 337/365, or answer choice A. Hope this helps!

6 0

3 years ago

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Help with this geometry question.

KATRIN_1 [288]

Plug in 4m in the space

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4 years ago

Write an equation in slope intercept form for the line that passes thru the points (4,-2) and (-5,7)

shepuryov [24]

Answer:

y = -x + 2

Step-by-step explanation:

The equation of a line in a slope intercept form is given as :

$y = mx + c$ , where m is the gradient and c, y - intercept.

First, let us find the gradient, m of the line that passes through the points, (4,-2) and (-5,7) using the relation ;

$m = \frac{y_2 - y_1}{x_2- x_1}$

By substitution we get

$m = \frac{7- (- 2)}{ - 5 - 4}$

$\implies m = \frac{7 + 2}{ - (5 + 4)}$

$\implies m = \frac{9}{ - 9} = - 1$

We substitute any of the points and the value of m into y= mx + c to find the value for c.

$\implies - 2 = 4( - 1) + c$

$\implies - 2 = - 4+ c$

Adding 4 to both sides.

$\implies 4- 2= - 4 + 4+ c$

$\implies 4- 2= + c$

$\implies c = 2$

Hence the equation of the line is :

y = -x +2

3 0

3 years ago

Simplify this equation please.

Sauron [17]

$\dfrac{\csc^2\theta-3\csc\theta+2}{\csc^2\theta-1}$

Identity:

$\sin^2\theta+\cos^2\theta=1\implies1+\cot^2\theta=\csc^2\theta$

So we can rewrite the denominator to get

$\dfrac{\csc^2\theta-3\csc\theta+2}{\cot^2\theta}$

Multiply numerator and denominator by $\sin^2\theta$ . Several terms will cancel since $\sin\theta\csc\theta=1$ . Also, $\cot\theta=\dfrac{\cos\theta}{\sin\theta}$ . We get

$\dfrac{1-3\sin\theta+2\sin^2\theta}{\cos^2\theta}$

Factorize the numerator, and write $\cos$ in terms of $\sin$ in the denominator to factorize it further to get

$\dfrac{(1-\sin\theta)(1-2\sin\theta)}{\cos^2\theta}=\dfrac{(1-\sin\theta)(1-2\sin\theta)}{1-\sin^2\theta}=\dfrac{(1-\sin\theta)(1-2\sin\theta)}{(1-\sin\theta)(1+\sin\theta)}$

The $1-\sin\theta$ factors cancel, leaving you with

$\dfrac{1-2\sin\theta}{1+\sin\theta}$

which you could simplify a bit further by writing

$\dfrac{1+\sin\theta-3\sin\theta}{1+\sin\theta}=1-\dfrac{3\sin\theta}{1+\sin\theta}$

3 0

4 years ago

Please help <br> Workout a b and c

STatiana [176]

Answer:

a=21° b=70°

Step-by-step explanation:

a=21°(Vertically Opposite Angles)

b+110°=180° (linear pair)

b=180-110

b=70°

[please mark me brainliest]

3 0

3 years ago

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