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Svetlanka [38]
3 years ago
11

Will mark BRAINLIEST !

Mathematics
2 answers:
Neko [114]3 years ago
8 0

Step-by-step explanation:

if u like this answer plz mark as brainlist

Gekata [30.6K]3 years ago
7 0

Angle formed by each blade = 40°

So, total angle formed by 3 blades

= 40° × 3 = 120°

Total angle of a circle = 360°

Ratio of angle formed by total circle to angle formed by the 3 blades

= 360° : 120°

= 360 : 120

= 3 : 1

Total area of circle

= πr²

= π(3m)²

= π9m²

Let the area of blades be x.

So, area of total circle : x = 3 : 1

= π9m² : x = 3 : 1

= π9m²/x = 3/1

= π9m²/3 = x/1

= π9m²/3 = x

= π3m² = x

So, the area of all three blades is π3m².

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The number 2400 is first increased by 30%.The value obtained is next decreased by 20%.Find the final number
kvasek [131]

<em>2400 is increased by 30%.</em>

so,

2400 + (30/100 * 2400)

2400 + (30 * 24)

2400 + 720

3120

<em>this number is decreased by 20%.</em>

so,

3120 - (20/100 * 3120)

3120 - (2 * 312)

3120 - 624

2496

therefore, the final number will be 2496.

3 0
3 years ago
Use the Pythagorean theorem to determine which of the following give the measures of the legs and hypotenuse of a right triangle
Masteriza [31]

Answer: 3, 4,5 and 17, 15,8

give the measures of the legs and hypotenuse of a right triangle.

Step-by-step explanation:

In order for the measures of the legs and hypotenuse given to form a right angle triangle, they must be Pythagorean triples. A Pythagoras triple is a set of numbers that perfectly satisfy the Pythagorean theorem. The Pythagorean theorem is expressed as

Hypotenuse² = opposite side² + adjacent side². We will apply the theorem to each set of numbers given.

1) 3, 4, 5

5² = 3² + 4² = 9 + 16

25 = 25

It is a Pythagorean triple

2) 4, 11, 14

14² = 11² + 4² = 121 + 16

196 = 137

It is a Pythagorean triple

3) 9, 14, 17

17² = 14² + 9² = 196 + 81

289 = 277

It is not a Pythagorean triple

4) 8, 14, 16

16² = 14² + 8² = 196 + 64

256 = 260

It is not a Pythagorean triple

5) 8, 15 , 17

17² = 15² + 8²

289 = 225 + 64

289 = 289

It is a Pythagorean triple

Therefore, 3, 4,5 and 17, 15,8

give the measures of the legs and hypotenuse of a right triangle.

8 0
3 years ago
If the area of a rectangle with length (4x) is 4x2 + 12x, find the width.​
8090 [49]

Answer:

The width of a rectangle is: w = x+3

Step-by-step explanation:

Given

The length of rectangle = l = 4x

The area of rectangle = A = 4x² + 12x

To determine

The width of rectangle = w = ?

We know that the formula of the area of the rectangle is

A = wl

substitute A = 4x² + 12x and l = 4x in the equation to determine the width w of the rectangle

4x² + 12x = w×4x

w = [4x² + 12x] / [4x]

Factor 4x² + 12x:   4x(x+3)

w = [ 4x(x+3) ] /  [4x]

w = x+3

Therefore, the width of a rectangle is: w = x+3

3 0
3 years ago
What is the amount of a $4,000.00 annuity due at 12 percent compounded semiannually for 3 years?
Dmitriy789 [7]

Answer:

$ 5674.076

Step-by-step explanation:

The question is on compound interest

The formulae = A= P(1+ r/n) ^nt .......where P is the principal amount, r is the rate of interest in decimal, n is number of compoundings per year and t is the total number of years.

Given; P= $4,000.00 , r=12/100=0.12, n=2 and t=3

Substituting values in the equation  A= P(1+ r/n) ^nt

A= 4000 ( 1+0.12/2)^2×3

A=4000(1.06)^6

A=$ 5674.08

3 0
3 years ago
Ms jenkins has a grass lawn that is 24m wide and 30m long. mr jenkins cuts the grass at a reate of 9m per minute. how long will
Kisachek [45]

It will take Mr. Jenkins 1 hr and 20 minutes to cut all the grass.

To know how long it will take Mr. Jenkins to cut all the grass, get the total area of the lawn and divide it by the rate Mr. Jenkins cut the grass.

The area of the lawn can be calculated using the formula for the area of a rectangle given by:

A = l x w

where l is the length and w is the width.

Using this formula, the grass lawn that is 24 m wide and 30 m long has an area of:

A = l x w

where

l = 30 m

w = 24 m

A = 30 m x 24 m

A = 720 m^2

Meanwhile, the time it will take Mr. Jenkins to cut the grass lawn with an area of 720 m^2 can be computed using the rate.

amount = rate x time

720 m^2 = 9 m^2/minute x t

t = 720 / 9

t = 80 minutes = 1 hr 20 minutes

To know more about rate, visit brainly.com/question/24950565.

#SPJ4

5 0
1 year ago
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