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insens350 [35]
3 years ago
15

The Colosseum in Rome has a total volume of 47 million cubic feet. When it was in use, it was 180 feet tall. Suppose a scale mod

el of the Colosseum is 5 feet tall. What is the model’s volume?
Mathematics
2 answers:
nataly862011 [7]3 years ago
4 0

Answer: (x)^2 + (y)^2 = 90,000

Step-by-step explanation: we know that

The equation of the circle (the roof of the Colosseum) in standard form is equal to (x-h)^2 + (y-k)^2 =r^2

where

(h,k) is the center and r is the radius

we have

(h,k)=(0,0) ----> is the origin

----> the radius is half the diameter

substitute

nevsk [136]3 years ago
3 0

Answer:

56 ft

Step-by-step explanation:

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Find the total volume. Please show your work.​
elena-s [515]

Answer:

Step-by-step explanation:

You have a half sphere and a cylinder.

Trick question! Note that the diameter of the cylinder is in meters, while the height is given in centimeters.

For cylinder:

 radius r = 5 m

 height h = 6 cm = 0.06 m

 volume = πr²h = π(5²)(0.06) = 1.5π m³

For sphere:

 radius r = 5 m

 volume of sphere = (4/3)πr³

 volume of half sphere =  (2/3)πr³ = (2/3)π5³ = (250/3)π m³

Total volume = 1.5π + 250π/3 ≅ 266.5 m³

4 0
2 years ago
what is the equation of a line that has a slope of -5 and passes through the point (0,2) a)y= -5x b)y= -5x + 2 c)y = 2x - 5
Free_Kalibri [48]

Answer:

y=-5x+2

Step-by-step explanation:

desmos

also -5= the slope and 2 was the y intercept aka B you had all Pieces

5 0
3 years ago
Pls help 25h²- 16t² factorise it​
noname [10]

Answer:

(5h-4t)(5h+4t)

Step-by-step explanation:

25h² - 16t²

adding  and subtracting 20ht from it        (√25 and √16 = 5x4 = 20):

25h² + 20ht - 20ht -16t²

factor:

(5h-4t)(5h+4t)

8 0
2 years ago
Read 2 more answers
What is the slope and y-intercept of a vertical line
Dmitry_Shevchenko [17]
Is there any numbers or a picture
7 0
3 years ago
My question is in the attachment.<br>​
Nikolay [14]

Answer:

5 and 25

Step-by-step explanation:

let the son's age be x then the father's age is x + 20

In 5 years

son = x + 5 and father = x + 20 + 5 = x + 25

Then

x + 25 = 3(x + 5) ← father is three times as old as son

x + 25 = 3x + 15 ( subtract x from both sides )

25 = 2x + 15 ( subtract 15 from both sides )

10 = 2x ( divide both sides by 2 )

5 = x and x + 20 = 5 + 20 = 25

si=on is 5 and father is 25

8 0
2 years ago
Read 2 more answers
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