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2 years ago

4 less than four times a number is equal to three times the same number plus 1

Mathematics

1 answer:

madam [21]2 years ago

4 0

Answer:

Step-by-step explanation:

let x be the number we are looking for

Mathematically the statement “4 less than four times a number”

means 4x - 4

Mathematically the statement “three times the same number plus 1”

means 3x + 1

Statement 1 is equal to statement 2

means 4x - 4 = 3x + 1

We got an equation and we need to solve it :

4x - 4 = 3x + 1

⇔ 4x - 3x = 1 + 4

⇔ x = 5

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What is the distance between the building B (4, 6) and the station K (–6, –2)? Use a calculator to round to the nearest tenth.

Svetllana [295]

Answer:

The answer is

<h2>12.8 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

B (4, 6) and K (–6, –2)

The distance is

$|BK| = \sqrt{ ({4 + 6})^{2} + ({6 + 2})^{2} } \\ = \sqrt{ {10}^{2} + {8}^{2} } \: \: \: \: \: \: \: \: \: \\ = \sqrt{100 + 64} \: \: \: \: \: \: \: \: \: \\ = \sqrt{164} \\ = 2 \sqrt{41} \\ = 12.80$

We have the final answer as

<h3>12.8 to the nearest tenth</h3>

Hope this helps you

5 0

3 years ago

What is the volume of a right circular cylinder with a diameter of 46. 25 cm and a height of 18. 5 cm? Enter your answer in the

Sedbober [7]

The volume of the right circular cylinder is 31064.54 cm³.

What is the formula for the volume of cylinder?

Formula:

V = πr²h.............. Equation 1

Since,

V = Volume of the right circular cylinder

r = radius of the base of the cylinder

h = height of the cylinder.

We have given that,

r = 46.25/2 = 23.125 cm

h = 18.5 cm

π = 3.14

We have to calculate volume of right circular cylinder.

Therefore,

Substitute these values into equation 1

V = 3.14(23.125²)(18.5)

V = 31064.54 cm³

Therefore

The volume of the right circular cylinder is 31064.54 cm³.

Learn more about the volume of a cylinder here:

brainly.com/question/1082469

3 0

3 years ago

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densk [106]

Uhhh
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3 years ago

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Keith_Richards [23]

I’m not sure, but i think that you have to take the volume equation, and plug in the other variables (volume, area) to find the height

6 0

3 years ago

How do u know if a like is linear?

Sever21 [200]

Answer:

Step-by-step explanation:

Linear means strait but what are you asking ?

7 0

3 years ago