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Svetllana [295]
3 years ago
6

Select the correct answer.

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
5 0

Answer:

2/x+1

Step-by-step explanation:

nghgjffhgfbcggfd

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Given that LON is a right angle, find the measure of x.​
sveta [45]

Answer:

x=30\°

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

m∠LOM+m∠MON=m∠LON ----> by angle addition postulate

we have

m∠LOM=2x°

m∠MON=x°

m∠LON=90° ----> is a right angle

substitute the values

2x+x=90

solve for x

3x=90

x=30\°

4 0
3 years ago
7(2c−5d)−3(d−2c) What’s this answer
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3 years ago
A cylinder has radius r and height h. A. How many times greater is the surface area of a cylinder when both dimensions are multi
Ierofanga [76]

Answer: A. Factor 2 => 4x greater

                   Factor 3 => 9x greater

                   Factor 5 => 25x greater

Step-by-step explanation: A. A cylinder is formed by 2 circles and a rectangle in the middle. That's why surface area is given by circumference of a circle, which is the length of the rectangle times height of the rectangle, i.e.:

A = 2.π.r.h

A cylinder of radius r and height h has area:

A_{1} = 2πrh

If multiply both dimensions <u>by a factor of 2</u>:

A_{2} = 2.π.2r.2h

A_{2} = 8πrh

Comparing A_{1} to A_{2} :

\frac{A_{2}}{A_{1}} = \frac{8.\pi.rh}{2.\pi.rh} = 4

Doubling radius and height creates a surface area of a cylinder 4 times greater.

<u>By factor 3:</u>

A_{3} = 2.\pi.3r.3h

A_{3} = 18.\pi.r.h

Comparing areas:

\frac{A_{3}}{A_{1}} = \frac{18.\pi.r.h}{2.\pi.r.h} = 9

Multiplying by 3, gives an area 9 times bigger.

<u>By factor 5</u>:

A_{5} = 2.\pi.5r.5h

A_{5} = 50.\pi.r.h

Comparing:

\frac{A_{5}}{A_{1}} = \frac{50.\pi.r.h}{2.\pi.r.h} = 25

The new area is 25 times greater.

B. By analysing how many times greater and the factor that the dimensions are multiplied, you can notice the increase in area is factor². For example, when multiplied by a factor of 2, the new area is 4 times greater.

3 0
3 years ago
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