The height of Dougal is 1.84 metres. The height of Seb is 1.7 metres. Write the height of Dougal as a fraction of the height of Seb. Give your answer in its simplest form. Write your fraction in the form a / b eg * 19/16 would be 19/16

Answer:

A counterclockwise rotation of 270º about the origin is equivalent to a clockwise rotation of 90º about the origin. Given a point (4, 5), the x-value, i.e. 4 and the y-value, i.e. 5 are positive, hence the point is in the 1st quadrant of the xy-plane.

Step-by-step explanation:

Step-by-step explanation:

Ax − B = C

Dy + E = F

Solve for x and y:

x = (B + C) / A

y = (F − E) / D

So the sum of x and y is:

x + y = (B + C) / A + (F − E) / D

For x + y to be as large as possible, A, E and D must be small, and B, C, and F must be large.  With some trial and error:

x + y = (9 + 8) / 1 + (7 − 3) / 2

x + y = 17 + 2

x + y = 19

For x + y to be as small as possible, we want the first term to be a small fraction, and the second term to be as negative as possible.  So A must be large, B + C must be small, F must be less than E, and D must be small.

x + y = (3 + 4) / 8 + (2 − 9) / 1

x + y = ⅞ − 7

x + y = -6⅛

Answer:

182

Step-by-step explanation:

You add all of them together and you will get the same answer if you would simplify it i simplified it

Answer:

The answer is "K= 102"

Step-by-step explanation:

Given:

Number of employees = 7128

sample size =70

k=?

Formula:

[tex]\to K= \frac{\text{Number of employees}}{\text{sample size}} \\\\[/tex]

        [tex]= \frac{7148}{70} \\\\= 102.11\ \ \ \ or \ \ \ 102[/tex]

Answer:

the final temperature is 39.0

Answer:

x^2+8x

Step-by-step explanation:

instructions included above :)

Answer....

[tex] \boxed{ {x}^{2} + 8x}[/tex]

[tex] \boxed {\tt{Step-by-step \: explanation:-}}[/tex]

(6x²+10x-1)+(-5x²-2x+1)

=6x²+10x-1-5x²-2x+1

=6x²-5x²+10x-2x-1+1

=x²+8x

Answer:

-1

Step-by-step explanation:

We can write a ratio:

15/5 = 36/x

Let "x" equal the unknown part of the triangle.

Solution:

15/5 = 36/x

~Cross multiply

15x = 180

~Divide 15 to both sides

x = 12

Best of Luck!

Answer:

84

Step-by-step explanation:

4*6*7/2=84

The number line that shows the points −12/5 and –2.8 is Option A.

Integers are arranged at equal intervals along horizontal straight lines called number lines. A number line can be used to represent every number in a series. The endpoints of this line go on forever. Some will have a defined beginning and end. It refers to those as closed number lines. Number lines might be alternatively left empty or blank. A number ladder is a vertical number line.

The given numbers are: −12/5 and –2.8

As we can re-write -12/5 in decimal form= -2.4

Now, we need to mark the number on the number line.

As the number -2.4 lies between -2 and -3 on the left side of zero.

and, -2.4 lies between -the numbers 2.5 and -3.0 on the left side of zero.

Learn more about number line here:

brainly.com/question/13425491

#SPJ2

Answer:

Is there a missing number? If there isn't the answer will be 43.

Answer:

the answer will be 43 np

Answer:

Step-by-step explanation:

x + 3•(+1) = 2•x + 4•(-1)

x + 3  =  2x - 4

  -3         -3

 x  =  2x - 7

-2x      -2x

- x  =  -7

÷(-1)     ÷(-1)

  x = 7

Answer: approximately 7.07

Step-by-step explanation:

The distance formula is [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]. Since we are given teo points, we can plug them in and solve.

[tex]d=\sqrt{(4-3)^2+(0-(-7))^2}[/tex]       [parenthesis]

[tex]d=\sqrt{(1)^2+(7)^2}[/tex]                         [exponent]

[tex]d=\sqrt{1+49}[/tex]                                [add]

[tex]d=\sqrt{50}[/tex]                                      [square root]

[tex]d=7.07[/tex]

The distance is approximately 7.07.

Answer:

A0.15

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

527 / 17 = 31

Answer:

220 10 4

Step-by-step explanation:

Step-by-step explanation:

Hey there!!

It 's so simple.

You remember common property of triangle. (i.e sum of interior angle of a triangle is 180°)

So,

77° + 31° + x = 180°

x + 108° = 180°

x = 180° - 108°

Therefore the measure of angle x is 72°.

Hope it helps....

Answer:

[tex]h<-15[/tex]

Step-by-step explanation:

[tex]-18+7h>12+9h[/tex]

Add 18 to both sides:

[tex]-18+7h+18>12+9h+18[/tex]

[tex]7h>9h+30[/tex]

Subtract 9h from both sides:

[tex]7h>9h+30[/tex]

[tex]-2h>30[/tex]

Multiply both sides by -1 and flip the symbol:

[tex]\left(-2h\right)\left(-1\right)<30\left(-1\right)[/tex]

[tex]2h<-30[/tex]

Divide both sides by 2:

[tex]\frac{2h}{2}<\frac{-30}{2}[/tex]

[tex]h<-15[/tex]

Answer:

Sample response:

Both inequalities use the division property to isolate the variable, y. When you divide by a negative number, like –7, you must reverse the direction of the inequality sign. When you divide by a positive number, like 7, the inequality sign stays the same. The solution to the first inequality is y > -23, and the solution to the second inequality is y <>

Answer:

7.1 cm

Step-by-step explanation:

The diagonal of a cube connects two opposite corners.

You can use the diagonal of a cube in a right triangle in which it is the hypotenuse. The legs of the triangle are a diagonal of a face and an edge.

Let the length of the edge be s.

a^2 + b^2 = c^2

[tex] s^2 + 10^2 = (\sqrt{150})^2 [/tex]

[tex] s^2 + 100 = 150 [/tex]

[tex] s^2 = 50 [/tex]

[tex] s = \sqrt{50} [/tex]

[tex] s = 5\sqrt{2} [/tex]

s = 7.1

Answer: 7.1 cm

Answer:

225 feet

Step-by-step explanation:

-245 plus -83 then add 103

Answer:

Around 22200 dollars

Step-by-step explanation:

Firstly, it was depreciating 20% per year for 17 years. So, if we were to go back in time, it would be appreciating by 25%. Therefore, after doing the plugging in, it is 500 * 1.25^17. The initial value is around 22200. It is around 22204, to be exact.

Answer:

Step-by-step explanation:

Amari ran 3/4 distance Mary ran

A = 3/4  M

Amari ran 12 miles

12 = 3/4 M                Multiply by 4

12 * 4 = 3*M              Combine    

48 = 3M                   Divide by 3

48/3 = M

M = 16

So Mary ran 16 miles.  

Answer:

eliminated, the bedtime increases by one minute. ... Description: This activity requires students to tell time to the half-hour (e.g. 4:00, 5:30, 11:30).

Step-by-step explanation:

Answer:

b = y - mx

Step-by-step explanation:

Given

y = mx + b ( subtract mx from both sides )

y - mx = b

Answer:

Question: 1

 Subtract 9 from each side.

 Divide each side by 2

 Add 11 to each side.

 Divide each side by 4

Question: 2

10x +2 = 32

10x = 30

x = 3

Question: 3

19 -4c = 17

-4c = -2

c = 1/2 or 0.5

Question 4:

1.1x + 1.2x -5.4 = -10

2.3x = -4.6

x = -2

Question: 6

6(5 − 8v) + 12 = −54

6( 5 - 8v ) = -66

( 5 - 8v ) = -11

-8v = -16

v = 2

Step-by-step explanation:

Answer:

224 meters

I took the test, and got it right.

Answer:

224 meters

Step-by-step explanation:

Have a great day!

Answer:

add ans subtract like normal

Step-by-step explanation:

Step-by-step explanation:

To add decimals, follow these steps: Write down the numbers, one under the other, with the decimal points lined up. Put in zeros so the numbers have the same length .Then add, using column addition, remembering to put the decimal point in the answer.

subtraction also in the same way only place the large no up and small down and do subtraction.

I hope this helps....

Answer:

The answer is

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]

where

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

From the question the points are

(12,-7) and (-6,15)

The midpoint is

[tex]M = ( \frac{12 - 6}{2} , \: \frac{ - 7 + 15}{2} ) \\ = ( \frac{6}{2} \: , \: \frac{8}{2} )[/tex]

We have the final answer as

Hope this helps you