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2 years ago

Please help!!!!!!!!!!!

Mathematics

1 answer:

yawa3891 [41]2 years ago

6 0

Answer:

h = 1,268 cm

Step-by-step explanation:

V = (π·r²·h)/3, general formula

83 = (π·4²·h)/3, substitute what is given V= 83 cm³ and r = 4 cm

83 ·3 = (π· 16·h)·3/3, multiply both sides by 3 and solve 4² = 16

249 = π·16·h, multiply 83·3 = 249 and 3/3 = 1

249/ π·16 = h , divide both sides by π·16

1,268.146587 = h, solve

1,268 ≈ h , is rounded to the nearest cm

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Slope of a vertical line that goes through the point (6,-5)

luda_lava [24]

Answer:

x=6

Step-by-step explanation:

Every point on a vertical line has the same x-value. Use the x-value of the point to find the equation of the vertical line.

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2 years ago

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Enter an equation in point slope for the line with points (6,9) and (7,9)

Jobisdone [24]

Answer:

y-9=0(x-6)

Or, equivalently: y=9

This represents a horizontal line

Step-by-step explanation:

Equation of the line

The point-slope form of the equation of a line is:

$y-k=m(x-h)$

Where m is the slope and (h,k) is a point through which the line passes.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

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

The points are (6,9) and (7,9). These points dfine a horizontal line, as we'll see later.

The slope is:

$\displaystyle m=\frac{9-9}{7-6}=0$

m=0

Now compute the equation in point-slope form:

y-9=0(x-6)

Solving for y:

y=9

This represents a horizontal line

7 0

2 years ago

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KengaRu [80]

I think the correct answer is A, but please do not be upset with me if it is incorrect.

8 0

2 years ago

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WITCHER [35]

Y= -2/6 +4 theyre decreasing because the slope is negative

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2 years ago

An isosceles triangle’s altitude will bisect its base. Which expression could be used to find the area of the isosceles triangle

omeli [17]

Answer:

$\dfrac{\sqrt{40}\cdot \sqrt{40}}{2}$

Step-by-step explanation:

The length of the base is the distance between the points 4+2i and 10+4i, so

$\text{Base}=|10+4i-(4+2i)|=|10+4i-4-2i|=|6+2i|=\sqrt{6^2+2^2}=\\ \\=\sqrt{36+4}=\sqrt{40}$

The middle point of the base is placed at point

$\dfrac{4+2i+10+4i}{2}=\dfrac{6i+14}{2}=7+3i$

The length of the height is the distance between the points 5+9i and 7+3i

$\text{Height}=|5+9i-(7+3i)|=|5+9i-7-3i|=|-2+6i|=\sqrt{(-2)^2+6^2}=\\ \\=\sqrt{4+36}=\sqrt{40}$

So, the area of the triangle is

$A=\dfrac{1}{2}\cdot \text{Base}\cdot \text{Height}=\dfrac{\sqrt{40}\cdot \sqrt{40}}{2}$

4 0

2 years ago