The ratio of Mark’s age to Reeta’s age is 3 : 5 Mark’s age is 24 years. Work out Reeta's age.

Answer:

O

Step-by-step explanation:

THIS IS ASSUMING THAT THE RADIUS OF THE CIRCLE IS 4 1/4 UNITS!

Answer:

Standard Equation: (x + 5)^2 + (y+5)^2 = 18.06

General Form: x^2 + 10x + y^2 + 10y + 31.94 = 0

Answer:

90%

Step-by-step explanation:

100%=120 pupils

           108pupils

 108 x 100= 10800/120=90 %

Answer:5 and 4

Step-by-step explanation:

5*4=20

5+4=9 which is a square number

Answer:

C = √137

Step-by-step explanation:

In the attached file

Answer:

1.6x-y=5--->equ.(i)

3x+4=y--->equ.(ii)

substitution method

6x-y=5

y=5+6x--->equ (iii)

Replace y=5+6x into equ--->(ii)

3x-5+6x=4

3x+6x=4+5

9x=9

divide both side by 9

9x/9=9/9

x=1

Replace x=1 into equ (iii)

6(1)-y=5

6-y=5

y=5+6

y=11

then your x and y is

x=1,y=11

Answer:

20x + 12y

Step-by-step explanation:

Apply distributive property.

(4 * 5x) + (4 * 3y)

=> (20x) + (12y)

Answer:

=(4)(5x+3y)

=(4)(5x)+(4)(3y)

=20x+12y

Step-by-step explanation:

=(4)(5x+3y)

=(4)(5x)+(4)(3y)

=20x+12y

Answers above.

Hope this helps.

Answer:

The answer is c because I just took the quiz.

Step-by-step explanation:

Your welcome!

Answer:

2

Step-by-step explanation:

Given: 5 quiz scores of a student in a statistics course are 6,6, 5, 8, 10

To find:  standard deviation of the population

Solution:

Mean (M) = [tex]\frac{\sum_{i=1}^{n}x_i}{n}[/tex]

here, [tex]x_i[/tex] denotes number of observations and n denotes number of observations.

Variance = [tex]\frac{\sum_{i=1}^{n}(x_i-M)^2}{n-1}[/tex]

Standard deviation = [tex]\sqrt{variance}[/tex]

[tex]M=\frac{6+6+5+8+10}{5}=\frac{35}{5}=7[/tex]

Variance = [tex]\frac{\sum_{i=1}^{n}(x_i-7)^2}{n-1}[/tex]

[tex]=\frac{\left [ (6-7)^2+(6-7)^2+(5-7)^2+(8-7)^2+(10-7)^2 \right ]}{5-1}\\=\frac{1+1+4+1+9}{4}\\=\frac{16}{4}\\=4[/tex]

Standard deviation = [tex]\sqrt{4}=2[/tex]

Answer:

[tex]15.90cm[/tex]

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Answer:

1/21

Step-by-step explanation:

Total: 7

P(reggae and reggae)

= 2/7 × (2-1)/(7-1)

= 2/7 × 1/6

= 1/21

Answer:

A on e2020

Step-by-step explanation:

The solution is, The length of line segment AB is 3.4cm.

Line segment is the part of line which have two endpoint and bounded by two distinct end points and it contain every point on the line which is between its endpoint.

here, we have,

The area of octagon is given as 2a^2(1+sqrt{2})

Where a is the side of octagaon.

All sides of octagon are same.

now, we get,

As, 2a^2(1+sqrt{2}) = 54cm

so, we have,

Then, a^2 = 54/2(1+sqrt{2})

a^2 = 54/4.828

a^2 = 11.19

a = 3.4 cm

Hence, The solution is, The length of line segment AB is 3.4cm.

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Answer:

where is the question?

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

6+2+0+4+1+3+8=24

All the numbers to see are, 6, 8, 0, 2, 4, 1.

And, The sum of all the numbers are 21.

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Here,

In the figure,

All the numbers which can be seen are,

⇒ 6, 8, 0, 2, 4, 1

Now, Add all the numbers, we get;

⇒ 6 + 8 + 0 + 2 + 4 + 1

⇒ 21

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Answer:

55

Step-by-step explanation:

All triangles have a sum of 180°

180 - 40 = 140

Since the triangle is an isosceles triangle, then you are going to divide 140 by 2 because the base angles of an isosceles triangle are congruent.

140 / 2 = 70

Now that we know that the measurement of the two base angles is 70, we can find h.

2h represents the exterior angles. Exterior angles are always supplementary to the interior angles. So, we can simply subtract 70 from 180.

180 - 70 = 110

Now, we can divide 110 by 2 to find h.

110 / 2 = 55

So, h equals 55. So, the answer is the third option.

Answer: false

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

unless u used a ruler nothing would find it out

HOPE THIS HELPS

Answer:

25%

Step-by-step explanation:

50% x 50%

Answer:

A. 1/5

Step-by-step explanation:

got on edge

Answer:

[tex] = 7 \frac{9}{14} \\ [/tex]

Step-by-step explanation:

[tex]9 \frac{1}{2} - 1 \frac{6}{7} \\ \frac{19}{2} - \frac{13}{7} \\ \frac{133 - 26}{14} \\ = \frac{107}{14} \\ = 7 \frac{9}{14} [/tex]

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Answer:

   4)  c = 38

   5)  x = 50

Step-by-step explanation:

4) The marked angles are a "linear pair", meaning their total is 180°:

  3c° +(2c -10)° = 180°

  5c = 190 . . . . . . . divide by °, add 10, collect terms

  c = 38 . . . . . . . . . divide by 5

__

5) The interior angle at C brings the total of the marked angle and the interior angle to 360°

  330° + (interior angle) = 360°

  (interior angle) = 30° . . . . . . . . . subtract 330°

The interior angles of the triangle total 180°, so we have ...

  x° +2x° +30° = 180°

  3x = 150 . . . . . . . . . . . . . divide by °, subtract 30

  x = 50 . . . . . . . . . divide by 3

Answer:

it matters were you are going

Step-by-step explanation:

Answer:

The multiplication property of 1

Step-by-step explanation:

Any number that multiplied by one gives the number

Answer:

45° 45° 90°

Step-by-step explanation:

The whole figure is a rectangle, so the blue triangle is right. It is isosceles, so the angles are 45° 45° 90°

Answer:

Step-by-step explanation:

Answer:

x = 9  or  x = -9

Step-by-step explanation:

x² - 4 = 77

then

x² - 4 + 4 = 77 + 4

then

x²  = 81

then

x² - 81 = 0

then

x² - 9² = 0

then

(x - 9)(x + 9) = 0

then

x - 9 = 0  or  x + 9 = 0

then

x = 9  or  x = -9

__________________________

:)

Answer:

C

D

Step-by-step explanation:

C. It is in quadrant I and III

D. It is a hyperbola

Answer: The correct options are

(B) (x-6)^2+y^2=36,

(D) (x+6)^2+y^2=36.

Answer:

And we can find the distance between JK like this:

[tex] d_{JK} =\sqrt{(3-3)^2 +(2+1)^2}= 3[/tex]

And we can do something similar for KL and we got:

[tex] d_{KL} =\sqrt{(-5-3)^2 +(2-2)^2}= 8[/tex]

And we can do something similar for LM and we got:

[tex] d_{LM} =\sqrt{(-5+5)^2 +(-1-2)^2}= 3[/tex]

And we can do something similar for MJ and we got:

[tex] d_{MJ} =\sqrt{(-5-3)^2 +(-1+1)^2}= 8[/tex]

And the perimeter would be:

[tex] P = d_{JK} + d_{KL} +d_{LM} +d_{MJ} = 3+8+3+8 =22[/tex]

Step-by-step explanation:

For this case we can use the formula for the euclidean distance given by:

[tex] d = \sqrt{(y_2 -y_1)^2 +(x_2 -x_1)^2}[/tex]

And we can find the distance between JK like this:

[tex] d_{JK} =\sqrt{(3-3)^2 +(2+1)^2}= 3[/tex]

And we can do something similar for KL and we got:

[tex] d_{KL} =\sqrt{(-5-3)^2 +(2-2)^2}= 8[/tex]

And we can do something similar for LM and we got:

[tex] d_{LM} =\sqrt{(-5+5)^2 +(-1-2)^2}= 3[/tex]

And we can do something similar for MJ and we got:

[tex] d_{MJ} =\sqrt{(-5-3)^2 +(-1+1)^2}= 8[/tex]

And the perimeter would be:

[tex] P = d_{JK} + d_{KL} +d_{LM} +d_{MJ} = 3+8+3+8 =22[/tex]

The perimeter of the rectangle with the given vertices is: 22 units.

Recall:

Thus, find the length (JK) and width (KL) of the rectangle.

Width of rectangle = distance between J(-1,3) and K(2,3):

[tex]JK = \sqrt{(3 - 3)^2 + (2 - (-1))^2} \\\\JK = \sqrt{(0)^2 + (3)^2} \\\\JK = \sqrt{9} \\\\JK = 3[/tex]

Length of rectangle = distance between K(2,3) and L(2,-5)

[tex]KL = \sqrt{(-5 - 3)^2 + (2 - 2)^2} \\\\KL = \sqrt{(-8)^2 + (0)^2} \\\\KL = \sqrt{64} \\\\KL = 8[/tex]

Perimeter of the rectangle = 2(length x width)

Perimeter of the rectangle = 2(8 + 3)

Perimeter = 2(11)

Perimeter = 22 units

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Answer:

3π/4 radians

Step-by-step explanation:

arctan(tan(x/3))=1

x/3=π/4 rad

x = 3π/4 radians

Answer:

Option 3.

Step-by-step explanation:

Let T=Total, B=Brother and S=Sister. By using given diagram, we get

[tex]n(B)=28+68=96[/tex]

[tex]n(S)=82+68=150[/tex]

[tex]n(T)=28+68+82+52=230[/tex]

[tex]n(B\cap S)=68[/tex]

Using this information, we get

[tex]P(B)=\dfrac{n(B)}{n(T)}=\dfrac{96}{230}\approx 0.42[/tex]

[tex]P(S)=\dfrac{n(S)}{n(T)}=\dfrac{150}{230}\approx 0.65[/tex]

[tex]P(S|B)=\dfrac{P(B\cap S)}{P(B)}=\dfrac{n(B\cap S)}{n(B)}=\dfrac{68}{96}\approx 0.71[/tex]

[tex]P(B|S)=\dfrac{P(B\cap S)}{P(S)}=\dfrac{n(B\cap S)}{n(S)}=\dfrac{68}{150}\approx 0.45[/tex]

The probability P(S|B) has the largest value.

Therefore, the correct option is 3.

Step-by-step explanation:

sec(2x) − tan(2x)

Write in terms of sine and cosine:

1/cos(2x) − sin(2x)/cos(2x)

(1 − sin(2x)) / cos(2x)

Use double angle formulas:

[ 1 − 2 tan x / (1 + tan²x) ] / [ (1 − tan²x) / (1 + tan²x) ]

Multiply by reciprocal:

[ 1 − 2 tan x / (1 + tan²x) ] × [ (1 + tan²x) / (1 − tan²x) ]

Distribute 1 + tan²x:

(1 + tan²x − 2 tan x) / (1 − tan²x)

Factor:

(1 − tan x)² / ((1 − tan x) (1 + tan x))

Simplify:

(1 − tan x) / (1 + tan x)

Rewrite using 1 = tan(45°):

(tan(45°) − tan x) / (tan(45°) + tan x)

Use angle difference formula:

tan(45° − x)

Answer:

5,10,15,20,25,30,25,40,45,50,55,

Step-by-step explanation:

Answer:

  g = 676

Step-by-step explanation:

Multiply by 13:

  g/13 = 52

  13(g/13) = 13(52)

  g = 676