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nadezda [96]
3 years ago
12

Euclid’s root beer mug is shaped basically like a cylinder that is eight inches tall with a radius of three inches. Aristotle’s

root beer glass is shaped basically like a cone that is 18 inches tall with a diameter of four inches. Which vessel holds the most root beer?

Mathematics
1 answer:
olchik [2.2K]3 years ago
3 0

The Euclid's mug holds the most root beer.

Step-by-step explanation:

Euclid's mug :

Height = 8 inches

Radius = 3 inches

Volume = π(r x r) h

= (3.14) (9) 8

= 226.08 cubic inches

Aristotle's mug:

Height = 18 inches

Diameter = 4 inches

Radius = 2 inches

Volume = (1/3) π(r x r) h

= (1/3) (3.14) (4) 18

= 37.68 cubic inches

The Euclid's mug holds the most root beer.

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bixtya [17]
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6 0
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(06.02 mc) the equation of line cd is y=3x-3. Write an equation of a line perpendicular to line cd in slope intercept form that
Fynjy0 [20]

Answer:

y = - \frac{1}{3} x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

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y = 3x - 3 ← is in slope- intercept form

with slope m = 3

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{3}, hence

y = - \frac{1}{3} x + c ← is the partial equation of the perpendicular line

To find c substitute (3, 1) into the partial equation

1 = - 1 + c ⇒ c = 1 + 1 = 2

y = - \frac{1}{3} x + 2 ← equation of perpendicular line

6 0
4 years ago
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Given a temperature of 27°F, find the equivalent in °C.
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Step-by-step explanation:

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4 0
3 years ago
Find the perimeter of the triangle with vertices ​A(negative 2​,2​,3​), ​B(4​,negative 4​,3​), and ​C(7​,6​,4​).
gayaneshka [121]

Answer:

P\approx 28.872\,\text{units}

Step-by-step explanation:

We are given coordinates of each of the vertices of the triangle ABC, hence we can use the distance formula to find the lengths of each of the side.

the distance formula is generally written as:

r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2}

for the side AB: A(-2,2,3) and B(4,-4,3)

AB = \sqrt{(-2-4)^2+(2-(-4))^2+(3-3)^2}

AB = \sqrt{(-6)^2+(6)^2+(3-3)^2}

AB = \sqrt{72}

for the side BC: B(4,-4,3) and C(7,6,4)

BC = \sqrt{(4-7)^2+((-4)-6)^2+(3-4)^2}

BC = \sqrt{110}

for the side CA: C(7,6,4) and A(-2,2,3)

CA = \sqrt{(7-(-2))^2+(6-2)^2+(4-3)^2}

CA = \sqrt{98}

Now we all the sidelengths:

to find the perimeter we need to just sum the three side lengths:

P = AB + BC + CA

P = \sqrt{72} + \sqrt{110} + \sqrt{98}

P\approx 28.872\,\text{units}

this is the perimeter of triangle ABC

6 0
3 years ago
Evaluate.<br><br> 10^2 + 6 ⋅ 7 + 8<br><br> A. 70<br><br> B. 142<br><br> C. 150<br><br> D. 190
Kaylis [27]
I hope this helps you




100+42+8



100+50


150
8 0
3 years ago
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