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3 years ago

What is the volume of this square-based pyramid with a base length of 6 feet and a height of 10 feet?

Mathematics

2 answers:

bulgar [2K]3 years ago

5 0

Answer:

60 or 90

Step-by-step explanation:

9966 [12]3 years ago

3 0

Answer:

120 feet

Step-by-step explanation:

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Is seven/tenth rational or irrational?

Scrat [10]

Answer: rational

a rational number is a number that can be expressed by a quotient or a fraction

4 0

3 years ago

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Write an equation of the perpendicular bisector of the segment with the endpoints (8,10) and ( -4,2).

ale4655 [162]

Answer:

The required equation is:

$y = -\frac{3}{2}x+9$

Step-by-step explanation:

To find the equation of a line, the slope and y-intercept is required.

The slope can be found by finding the slope of given line segment. A the perpendicular bisector of a line is perpendicular to the given line, the product of their slopes will be -1 and it will pass through the mid-point of given line segment.

Given points are:

$(x_1,y_1) = (8,10)\\(x_2,y_2) = (-4,2)$

We will find the slope of given line segment first

$m = \frac{y_2-y_1}{x_2-x_1}\\= \frac{2-10}{-4-8}\\=\frac{-8}{-12}\\=\frac{2}{3}$

Let m_1 be the slope of perpendicular bisector then,

$m.m_1 = -1\\\frac{2}{3}.m_1 = -1\\m_1 = \frac{-3}{2}$

Now the mid-point

$(x,y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\= (\frac{8-4}{2} , \frac{10+2}{2})\\=(\frac{4}{2}, \frac{12}{2})\\=(2,6)$

We have to find equation of a line with slope -3/2 passing through (2,6)

The equation of line in slope-intercept form is given by:

$y = m_1x+b$

Putting the value of slope

$y= -\frac{3}{2}x+b$

Putting the point (2,6) to find the y-intercept

$6 = -\frac{3}{2}(2)+b\\6 = -3+b\\b = 6+3 =9$

The equation is:

$y = -\frac{3}{2}x+9$

7 0

2 years ago

63.625 rounded to the nearest tenth

Ket [755]

Answer:

63.6

Step-by-step explanation:

63.625

63.6

7 0

2 years ago

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If Max makes 45 out of 60 shots with the basketball, how many would you expect him to make if he only shot the basketball 15 tim

exis [7]

Answer:

Step-by-step explanation:

Probability of Max making a shot is 45/60=¾

Here, probability, p=¾ or 0.75

The trials n=15

E=np where E is expectation

Now, when the shots out of 15 trials will be given by np=15*¾=11.25 shots

Rounded off to the nearest interger, this is approximately 11 shots.

Therefore, the possible number of shots in 15 trials for Max is equivalent to 11

7 0

3 years ago

I don't know number 10

yulyashka [42]

78500 is ur answer : ) : ) : )

3 0

3 years ago