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vlabodo [156]
3 years ago
15

What is 25% of 40? ​

Mathematics
1 answer:
White raven [17]3 years ago
3 0

Answer:10

Step-by-step explanation:

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addison and kelsey are running on a path modeled by x^2+y^2-10x-18y-378=0, where the distance is in meters. what is the maximum
bulgar [2K]

The maximum distance is the <u>diameter of the circle</u>, which is of 44 units.

The equation of a circle of <u>radius r and center</u> (x_0,y_0) is given by:

(x - x_0)^2 + (y - y_0)^2 = r^2

  • The diameter is <u>twice the radius</u>, and is the <u>maximum distance</u> between two points inside a circle.

In this problem, the circular path is modeled by:

x^2 + y^2 - 10x - 18y - 378 = 0

We complete the squares to place it in the standard format, thus:

x^2 - 10x + y^2 - 18y = 378

(x - 5)^2 + (y - 9)^2 = 378 + 25 + 81

(x - 5)^2 + (y - 9)^2 = 484

Thus, the radius is:

r^2 = 484 \rightarrow r = \sqrt{484} = 22

Then, the diameter is:

d = 2r = 2(22) = 44

The maximum distance is the <u>diameter of the circle</u>, which is of 44 units.

A similar problem is given at brainly.com/question/24992361

7 0
2 years ago
A cylinder soup has a radius of 1,6 in and is 5/7 in. tall what is the volume
nata0808 [166]

Answer:

V=0.0623\ inch^3

Step-by-step explanation:

Given that,

The radius of cylinder, r = 1/6 inch

The height of the cylinder, h = 5/7 inch

We need to find the volume of the cylinder. The formula for the volume of a cylinder is given by :

V=\pi r^2 h\\\\=3.14\times (\dfrac{1}{6})^2\times \dfrac{5}{7}\\\\V=0.0623\ inch^3

So, the volume of the cylinder is equal to 0.0623\ inch^3.

6 0
3 years ago
F(m)=m^4-6m^3+5m^2+10m-4 at m=4
Alexandra [31]

Answer:

F(m) = -12

Step-by-step explanation:

Given the function:

F(m)=m^{4}-6m^{3}+5m^{2}+10m-4

When m = 4, we substitute the variable 'm' for the number 4:

F(m)=4^{4}-6(4)^{3}+5(4)^{2}+10(4)-4

F(m) = 256 - 384 + 80 + 40 - 4

F(m) = -12

6 0
3 years ago
In shop class, you make a table. The sides of the table measure 36" and 18". If the diagonal of the table measures 43", is the t
Lunna [17]

Answer: 75

Step-by-step explanation: took test and got it right. this is not fake like other people

5 0
2 years ago
Find the product. −2 (3.1) lol another
sergij07 [2.7K]

Answer:

-6.2

Step-by-step explanation:

multiply -2 times 3.1

6 0
3 years ago
Read 2 more answers
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