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3 years ago

A large scoop of ice cream at Tasty Treats ice

Mathematics

1 answer:

Alja [10]3 years ago

5 0

Answer:

$50.24\ \text{inches}^2$ of ice cream is there to eat in this scoop.

Step-by-step explanation:

A large scoop of ice cream at Tasty Treats ice cream Shop has radius of 4 inches. It is required to find how much ice cream is there to eat in this scoop. It means we need to find the area of the ice cream scoop. It is given by :

$A=\pi r^2\\\\A=3.14\times (4)^2\\\\A=50.24\ \text{inches}^2$

So, $50.24\ \text{inches}^2$ of ice cream is there to eat in this scoop.

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A remote control car races down the street at 26 miles per hour. Two hours later a second remote control car races straight down

Neporo4naja [7]

Answer:

4 hours

Step-by-step explanation:

Given

Car 1:

$Speed = 26mph$

$Time = h$

Car 2:

$Speed = 52mph$

$Time = h - 2$ --- i.e. 2 hours after car 1

Required

Determine the time car 1 will meet car 2

To do this, we calculate the distance of both cars using:

$Distance = Speed * Time$

For Car 1:

$Distance = 26 * h$

$Distance = 26h$

For Car 2:

$x^{2} Distance = 52 * (h - 2)$

Open bracket

$Distance = 52h - 104$

When car 2 meets up with car 1, they are at the same distance.

So:

$26h = 52h - 104$

Collect Like Terms

$26h - 52h = -104$

$-26h = -104$

Solve for h

$h = \frac{-104}{-26}$

$h = 4$

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Write the decimal in expanded form using Powers of 10 with exponents. 562.816

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<em>Comment on this problem</em>

Understanding this representation of place value goes a long way toward understanding scientific notation. It also helps understanding of numbers written in bases other than 10.

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