A circle is divided into two sectors in the ratio 3:7. If the radius of the circle is 7cm, calculate the length of the minor arc of the circle​

Answer:

45

Step-by-step explanation:

AEF is a similar triangle to ABC. that means it has the same angles, and the sides (and all other lines in the triangle) are scaled from the ABC length to the AEF length by the same factor f.

now, what is f ?

we know this from the relation of AC to FA.

FA = 12 mm

AC = 12 + 28 = 40 mm

so, going from AC to FA we multiply AC by f so that

AC × f = FA

40 × f = 12

f = 12/40 = 3/10

all other sides, heights, ... if ABC translate to their smaller counterparts in AEF by that multiplication with f (= 3/10).

the area of a triangle is

baseline × height / 2

aABC = 500

and because of the similarity we don't need to calculate the side and height in absolute numbers. we can use the relative sizes by referring to the original dimensions and the scaling factor f.

baseline small = baseline large × f

height small = height large × f

we know that

baseline large × height large / 2 = 500

baseline large × height large = 1000

aAEF = baseline small × height small / 2 =

= baseline large × f × height large × f / 2 =

= baseline large × height large × f² / 2 =

= 1000 × f² / 2 = 500 × f² = 500 ×(3/10)² =

= 500 × 9/100 = 5 × 9 = 45 mm²

Answer:

Step-by-step explanation:

Mean is the average of data set:

Mean

[tex]\\ \rm\leadsto \dfrac{\sum n}{n}[/tex]

[tex]\\ \rm\leadsto \dfrac{0.7+1.1+0.8+1.6+1.6+2.2+1.1}{7}[/tex]

[tex]\\ \rm\leadsto 1.3[/tex]

(4c - 3d)(3c + d) =

= 12c² + 4cd - 9cd - 3d² =

= 12c² - 5cd - 3d²

The expression (4c − 3d)(3c + d) is equivalent to 12c² - 5cd - 3d²

(4c − 3d)(3c + d)

Open the bracket

12c² + 4cd - 9cd - 3d²

Collect like terms

12c² - 5cd - 3d²

Hence, the equivalent value of the expression is : 12c² - 5cd - 3d²

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Answer: -37/100

Step-by-step explanation:

Given

-0.37

Convert to division form (Any division that can get -0.37)

-37 ÷ 100

Convert to fraction

[tex]\boxed{-\frac{37}{100} }[/tex]

Finally, always make sure the final fraction is no longer divisible.

Hope this helps!! :)

Please let me know if you have any questions

Answer:

D.52

Step-by-step explanation:

i'm probably overcomplicating because i haven't dpne these problems in a while and i don't remember the formula names so sorry if it sounds confusing:

the angle inscribed in the circle has an angle of 64 degrees, so the angle of the minor arc that the inscribed angle creates has an angle of 128 degrees (angle of arc = 2 times angle of inscribed angle'

now using the formula for the tangent lines, x=(major arc-minor arc)/2, the major arc=360-minor arc=360-128=232 so we have (232-128)/2=104/2=52 so x=52 degrees

Answer:

D

Step-by-step explanation:

Draw the central angle from the two tangent points. That angle will be twice the size of 64. So the central angle is 128.

x is the supplement of 128 or 52 degrees. You can show this by proving that the the central angle + x + 90 + 90 = 360

Central angle + x = 180

128 + x = 180

x = 52

Answer:

Answer: k - 16

Step-by-step explanation:

If she looses, it becomes less or smaller. Subtraction produces that result. K is a fairly large number. 16 is much smaller. So she has K - 16 left.

K - 16

Answer:

84 cm squared, 30 cm squared, 18 cm squared

Step-by-step explanation:

Formula for triangle area= 1/2 Base * Height

Area for triangle ABD= 1/2 (12cm)*(14cm)

                                   =84 cm squared

Area for triangle BC(orange triangle)= 1/2 (6cm)*(10cm)

                                   =30 cm squared

BC=  half of BD

Area for triangle CD(Green  triangle)= 1/2 (6cm)*(4cm)

                                   =12 cm squared

area of green triangle is 12cm^2

Step-by-step explanation:

1/2×6×4

3×4

12

Answer:

3x^2+6x-11

Step-by-step explanation:

g(f(x)) = g(x^2+2x-4) = 3(x^2+2x-4)+1 = 3x^2+6x-11

We have that

The  interval equivalent to each range is given below

[tex]x=3-5[/tex]

[tex]x'=7,8,9 ...[/tex]

From the Question we are told that

2  <  x  ≤  5   or   x  >7

Generally the interval equivalent is given as follow from the number line

(...-1,0,1...)

For 2  <  x  ≤  5  

Here  this means x is less than 2 and less than or equal to 5

Therefore

A range of numbers

[tex]x=3-5[/tex]

For  x  >7

Here x is greater than 7  i.e

[tex]x'=7,8,9 ...[/tex]

in conclusion

The  interval equivalent to each range is given below

[tex]x=3-5[/tex]

[tex]x'=7,8,9 ...[/tex]

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Answer:

(2,5] U (7,∞)

Step-by-step explanation:

got it correct.

One circle is 360°, that means, 180° is half of the circle.

Then, the required rotation may be performed according to this property. For more details see the attached picture.

Answer: 1cm cubed

Step-by-step explanation:

Cube Formula = L x W x H

= 1 x 1 x 1

= Volume of cube

= 1cm cubed

Answer:

x = -5

Step-by-step explanation:

0.2x-8=0.4x-7

First, add 8 to both sides.

0.2x-8+8=0.4x-7+8

0.2x=0.4x-1

Next, subtract 0.4x from both sides.

0.2x-0.4x=0.4x-1-0.4x

-0.2x=1

Divide both sides by -0.2:

-0.2x/-0.2=1/-0.2

x=-5

Step-by-step explanation:

-5c+5c+2c–6c–16=c

-16c - 16=c

-16 = c + 16c

-16 = 17c

-16/17 = c

Answer:

128

Step-by-step explanation:

★» -30, 10

★» Yes, I use ★» at the beginning of each sentence, it's my style.

Answer:Its c

Step-by-step explanation:

H ;-)

x = -3 and y = -2

2x² - 5xy - y³ =

= 2 · (-3)² - 5 · (-3) · (-2) - (-2)³ =

= 2 · 9 - 30 - (-8) = 18 - 30 + 8 =

= -12 + 8 = -4

Answer:

[tex]2 {x}^{2} - 5xy - {y}^{3} \\ x = - 3 \\ y = - 2 \\ 2 { (- 3)}^{2} - 5 \times - 3 \times - 2 - { (- 2)}^{3} \\ 2 \times 9 + - 30 - - 8 \\ = 18 - 30 + 8 \\ = - 4 \\ thank \: you[/tex]

Answer: 8:16

Step-by-step explanation:

Ratios are like fractions, you can DIVIDE, so...

16 divided by 2 is 8

32 divided by 2 is 16

So there you have it!

Answer:

yesjndndkkwkdkdndkiskdn

Answer:

3.50 on each cuz 15-8=7 and 7÷2= 3.5 or 3.50

Answer:

P = 6x + 14

Step-by-step explanation:

P = 2l + 2w

where P is perimeter, l is length, and w is width

l = x + 7

w = 2x

So P = 2(x+7) + 2(2x)

Distribute the 2 to the x and 7.

P = 2*x + 2*7 + 2*2x

Multiply each term out

P = 2x + 14 + 4x

Group the xs

P = 2x + 4x + 14

Combine like terms

P = 6x + 14

Answer:

The answer is 4

Step-by-step explanation:

Given,

[tex]x=-2,\,y=6[/tex]

Now, the expression

∴[tex](x+3)(y-2)\\=>(-2+3)(6-2)\\=>(1)(4)\\4[/tex]

hope you have understood this...

pls mark my answer as the brainliest

Answer:

rational integer and whole

Answer:

D. Rational, integer, and whole.

Step-by-step explanation:

0 can be written in a ton of fraction forms (like [tex]\frac{0}{2645648}[/tex]), so it is rational.

Whole numbers include 0 and the natural numbers, but natural numbers alone, don't include 0.

Integers are the whole numbers and they negative opposites.

Answer:

45^45=2025, so the last digit is 5.

Step-by-step explanation:

Answer:

18. 2 times a number p squared

19. 3 times a number m to the power of 5

20. 1/2 plus 2

Step-by-step explanation:

Answer:

2016 cubic units

Step-by-step explanation:

12 * 12 * 14 = 2016

Answer:

2,016

Step-by-step explanation:

volume formula is width*length*height

= 12*12*14= 2016unit^3

Answer:

5H + 2R + 6

Step-by-step explanation:

7H + 2(R + 3) – 2H

7H + 2R + 6 - 2H

(7H - 2H) + (2R) + (6)

5H + 2R + 6

Area= 91

Step-by-step explanation:

if the width is 7 then the length is 13

13 times 7 is 91

Lets write the repeatations

a=c.

Hence this data has no mode.

Answer:

(6_4)(6+4)

6(6+4)-4(6+4)

36+24-24-16

36-16

[tex](x-3)(2x+5)=2x^2+5x-6x-15=\boxed{2x^2-x-15}\\\\(3x+7)(2x-1)=6x^2-3x+14x-7=\boxed{6x^2+11x-7}[/tex]