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KiRa [710]
2 years ago
6

An artist is creating a sculpture where a globe with a diameter of 48 inches sits in a cone like a scoop of ice cream. She wants

the cone of her sculpture to be geometrically similar to an actual ice cream cone that has a diameter of 2 1/2 inches and height of 6 inches. What should be the height of the cone in the artists sculpture?
Mathematics
1 answer:
brilliants [131]2 years ago
8 0

Answer:

115.2 inches

Step-by-step explanation:

What we must do is calculate the ratio between the real version and the version to be imitated, in this case the ice cream cone.

To calculate the ratio, we will do it through the diameter:

48 / 2.5 = 19.2

So the ratio is 19.2: 1

Which means that one inch of the ice cream cone represents 19.2 inches in the real version.

Therefore, in the case of height it would be:

6 * 19.2 = 115.2

Therefore, the height should be 115.2 inches.

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An observation deck extends 120 feet out above a valley. The deck sits 70 feet above the valley floor. If an object is dropped f
Rzqust [24]

Answer:

2

Step-by-step explanation:

The height formula given is:

h = -16t^2 + 70

That means the object will be initially (t=0) at the height 70 feet, from where it will be dropped.

If we want to know the time when the object will be at height 6 feet, we just need to use h=6 in the equation, and then calculate the value of t:

6 = -16t^2 + 70

16t^2 = 64

t^2 =4

t = 2 s

So, it will take 2 seconds for the object to be 6 feet above the valley floor.

8 0
3 years ago
F(x)= x/5<br> Given the function f above, what is the value of f(100)?
Lera25 [3.4K]

Answer:

20

Step-by-step explanation:

f(x)= x/5

To solve for f(100), we substitute 100 for x everywhere in the equation:

f(100) = (100)/5

f(100) = 20

8 0
3 years ago
The product of a number and twenty more than that number.
harina [27]

Answer: 20+35=55+20=75

x^{2} x^{2} x^{2} x^{2} x^{2} x^{2} x^{2} x^{2} x^{2} x^{2}

Step-by-step explanation:

4 0
2 years ago
Marco wants to buy a new smartphone that costs $495, with some additional accessories. He has already saved $75. Write and solve
Eddi Din [679]
He needs 420 to buy a new smartphone and accessories.

75-495= 420
420+75= 495
4 0
3 years ago
A table is on sale for 464 , which is 36% less than the regular price.
viva [34]
The original price was 725.
Explanation:
"36% less than" means taking 36% away from 100%. 100-36 is 64, so 64% remains when 36% is taken away. So, 64% of the original table's price is 464.
So, if the original price was x, 464=0.64x
Solve this by dividing both sides by 0,64:
725=x
So, the original price was 725.
3 0
3 years ago
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