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Viktor [21]
2 years ago
7

A large basin has the shape of a hemisphere with a radius of 25 inches. Calculate the area of rhe circle of water if the basin i

s filled to a depth of 10 inches​
Mathematics
1 answer:
ANTONII [103]2 years ago
7 0

Answer:

100pi in^2, or 314.16 in^2 to nearest hundredth.

Step-by-step explanation:

The areas of the surface of water for  full basin and area for the surface when the depth is 10 inches are in the ratio 25^2 : 10^2 = 6.25 : 1. (because the depth of the water = radius of the water when the basin is full).

The area for a full basin =  pi r^2 = 625pi in^2.

So the area  when depth is 10 inches =  625pi / 6.25 = 100pi in^2.

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Classifying the fruit in a basket as apple, orange, or banana, is an example of the ___________ level of measurement?
Serggg [28]

-ratio

-interval

-nominal

-ordinal

Answer:

Nominal

Step-by-step explanation:

-Ratio level of measurement means that you can build a fraction.

-interval level of measurement means that the distance that exists between values is important.

-Nominal means that the values are only named and there is no organization.

-Ordinal means that the values can be ordered by rank.

According to this, the answer is that classifying the fruit in a basket as apple, orange, or banana, is an example of the nominal level of measurement.

3 0
3 years ago
Read 2 more answers
A parallelogram has base (2x - 1) metres and height (4x - 7) metres.
Jobisdone [24]

Answer:

0.4069 ; 1.843

Step-by-step explanation:

Given:

Base of parallelogram, b = (2x - 1)

Height = (4x - 7)

Area = 1

Area of parallelogram = Base * height

Area of parallelogram = (2x - 1) * (4x - 7)

(2x - 1) * (4x - 7) = 1

8x² - 14x - 4x + 7 = 1

8x² - 18x + 7 - 1 = 0

8x² - 18x + 6 = 0

Divide through by 2

4x² - 9x + 3 = 0

Solving the quadratic equation :

Using the formula

-b ± √(b² - 4ac) / 2a

a = 4 ; b = - 9 ; c = 3

Plugging in the values :

-(-9) ± √((-9)² - 4(4)(3)) / 2(4)

9 ± √(81 - 48) / 8

9 ± √33 / 8

(9 ± 5.7445626) / 8

(9 - 5.7445626) / 8) = 0.4069

(9 + 5.7445626) / 8 = 1.843

4 0
3 years ago
For the function f(n) = 2n - 7, determine n when f(n) = 11
Gelneren [198K]
In the equation f(n) = 2n - 7
     f(11) = 15
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3 years ago
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The actual distance between parks is 24 miles On a map these parks are 8 inches apart How many miles are equal to one inch on th
vaieri [72.5K]

Each inch in the map is equivalent to 8 miles.

Explanation:

There is a distance of 24 miles between two parks. This 24 miles is represented by an 8-inch gap in the map.

So 8 inches on that particular map = 24 miles in real life.

To find the distance that an inch on the map represents we must divide both sides of the above equation. Since we need to calculate how much distance 1 inch represents we divide both the sides by 8 so that 8 inches on the map changes into 1 inch.

\frac{8}{8} inches on the map = \frac{24}{8} miles between the two parks in real life,

1 inch on that particular map = 3 miles in real life.

So each inch on the given map is equal to 8 miles in real life.

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3 years ago
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