A rectangular lawn has a diagonal path running across it. The lawn is 10m wide and 15m long. Work out the length of the path

Answer:

your teacher is they are giving out FREEE tokens so why do you have to pay

Step-by-step explanation

Answer:

a)  cosθ  = [tex]\frac{-2\sqrt{85} }{85}[/tex]

Step-by-step explanation:

Step(i):-

Given point ( x , y ) = ( - 2 , 3 )

We know that the polar co-ordinates

  x = r cos θ and y = r sinθ

where   [tex]r = \sqrt{x^{2} +y^{2} }[/tex]  

            [tex]r = \sqrt{(-2)^{2} +(9)^{2} } = \sqrt{4+81} = \sqrt{85}[/tex]

Step(ii):-

           x = r cos θ

          cosθ   [tex]= \frac{x}{r}[/tex]

      cosθ  = [tex]\frac{-2}{\sqrt{85} } = \frac{-2}{\sqrt{85} } X \frac{\sqrt{85} }{\sqrt{85} }[/tex]

       cosθ  = [tex]\frac{-2\sqrt{85} }{85}[/tex]

Answer:

36 Quarters and 3 dimes

Step-by-step explanation:

4 x 9 = 36

10 x 3 + 30

Answer:

28 quarters and 23 dimes

Step-by-step explanation:

q = d + 5

.25a +.1d = 9.30

.25(d+5) +.1d = 9.30

.25d + 1.25 +.1d = 9.30

.35d = 8.05

d = 23

23 + 5 = 28

q = 28

Answer:

First quadrant

Step-by-step explanation:

Since, both x and y coordinates of the given point are positive.

Therefore, the point (10 , 25) lie in the first quadrant.

Answer:

$23,077

Step-by-step explanation:

Let the minimum amount you want to earn be represented as x

Therefore

6.5% of x = $1,500

6.5/100 × x = $1500

6.5x/100 = $1500

Cross Multiply

6.5x = $1500 × 100

x = $1500 × 100/6.5

x = $23076.923077

Approximately to the nearest dollar= $23,077

Therefore, the minimum amount he needs to sell in order to earn $1,500 if he earns a 6.5% commission on everything he sells is $23,077

Answer:

The equation is f = z - x

Step-by-step explanation:

The equation is

Given that

The total cost + online fee for one ticket is $32.25

Let us assume f be the cost of ordering each ticket online

Cost of each ticket be x = $24.95

And, the total cost = z = $32.25

Now the equation would be

x + f = z

So for f it would be

f = z - x

Answer:

Step-by-step explanation:

4 (x + 3) = 2x + 8   <----"four times the sum of a number and three is equal to eight more than twice the number."

Second, we want to solve the equation:

4 (x + 3) = 2x + 8

4x + 12 = 2x + 8

2x + 12 = 8       <-------subtract 2x from both sides of the equation.

2x = -4              <-------subtract -12 from both sides

x = -2                <-------divide both sides by 2 which leaves a negative answer

Third, we want to check the answer by substituting the value of -2 for x in the original equation.

4 (x + 3) = 2x + 8

4 (-2 +3) = 2(-2) + 8

-8 + 12 = -4 + 8

  4        =      4

4 (x + 3) = 2x + 8   <----"four times the sum of a number and three is equal to eight more than twice the number."

Second, we want to solve the equation:

4 (x + 3) = 2x + 8

4x + 12 = 2x + 8

2x + 12 = 8       <-------subtract 2x from both sides of the equation.

2x = -4              <-------subtract -12 from both sides

x = -2                <-------divide both sides by 2 which leaves a negative answer

Third, we want to check the answer by substituting the value of -2 for x in the original equation.

4 (x + 3) = 2x + 8

4 (-2 +3) = 2(-2) + 8

-8 + 12 = -4 + 8

  4        =      4

Given:

The graph of set of ordered pairs.

To find:

The domain of the set of number.

Solution:

Domain is the set of input values or x-values.

From the given graph it is clear that the set of ordered pair is:

{(1,2), (2,4), (3,1), (4,6), (5,4), (6,5)}

Here, the x-values are 1, 2, 3, 4, 5, 6. So, the domain is the set of these values.

Domain = {1, 2, 3, 4, 5, 6}

Therefore, the correct option is A.

Answer:

cero que la pregunta es el numero cuatorce

Step-by-step explanation:

Answer:

(a) 1.18

(b) 99.71

Step-by-step explanation:

to know the value of q in degrees we can use cosine of q

[tex]\cos (q) = \frac{OR}{OQ}\\\\\cos (q) = \frac{5}{13}\\\\q = \cos^{-1}(\frac{5}{13})\\\\q \approx 67.38[/tex]

now to radians

the formula is

[tex]x\times\frac{2\pi}{360}\\\\[/tex]

with x the degrees

[tex]67.38\times \frac{2\pi}{360}\\\\=\frac{67.38\pi}{180}\\\\\approx 0.374\pi\\\\\approx 1.18[/tex]

so the measure of angle q is 1.18 radians

so now for part b

[tex]A = \frac{r^2 \alpha }{2}\\\\[/tex]

with [tex]\alpha[/tex] being the central angle in radians

for degrees is the following

[tex]A = \frac{\theta}{360}\times \pi r^2[/tex]

so we have

[tex]A = \frac{13^2 (1.18)}{2}\\\\A = 99.71[/tex]cm^2

Answer:

the answer is B, complementary angles

Step-by-step explanation:

complementary angles are two angles that add up to 180 degrees

105 + 75 = 180

Answer:

The measure of the red angle says 20 degrees

the other angle is 70 degrees

Step-by-step explanation:

Answer:

25/64

Step-by-step explanation:

To get this answer, first you need to use the distributive property:

(-3/8)(-5/8) - (1/4)(-5/8)

Next, multiply:

15/64 - (-5/32)

Change the negative signs into a positive sign:

15/64 + 5/32

Multiply 5/32 by 2 on both top and bottom:

15/64 + (5)(2)/(32)(2)

You will then get:

15/64 + 10/64

Now, add the numerators. You will get:

25/64

This is your answer. I hope it helped!

Answer: 2x +3y ≤ 12

Step-by-step explanation:

Given: Lynn's mom has 12 eggs to use for this purpose..

i.e. she can use maximum 12 eggs.

A batch of cookies requires two eggs and a batch of brownies requires 3 eggs.

Let x= Number of batches of cookies , y= Number of batches of brownies

Then, 2x +3y ≤ 12 (maximum eggs = 12)

hence, the required inequality :  2x +3y ≤ 12

Answer:

1. I=P*i*t

1365=6500*7%*t

1365=455*t

t=3

2.-Students 40

   Like mathematics

= 40*80

=32

Don´t like it is

=40-32

=8

Step-by-step explanation:

1. I=P*i*t

1365=6500*7%*t

1365=455*t

t=3

2.-Students 40

   Like mathematics

= 40*80

=32

Don´t like it is

=40-32

=8

Answer:

77.08%

Step-by-step explanation:

850 - 480 = 370

(370 / 480 ) × 100 = 77.08333333%

Answer:

77%

Step-by-step explanation:

Answer:

No x-intercept/Zero

Step-by-step explanation:

f(x)=3x(3/4)x-4

To find x-intercept/zero, substitute f(x)=0

0=3x(3/4)x-4

To raise a fraction to a power, raise the numerator and denominator to that power

0=3x 3 x-4/4 x-4

Calculate the product

0=3 x-3/4 x-4

Since the right-hand side is always positive, the statement is false for any value of x

Since there is no solution for f(x)=0, there is no x-intercept/Zero  

Answer:

[tex]Scale = \frac{2}{3}[/tex]

Step-by-step explanation:

To solve this question, I'll use the coordinates of SV and S'V' as points of reference.

From the attachment:

[tex]S = (3,6)[/tex]

[tex]V = (15,3)[/tex]

[tex]S' = (2,4)[/tex]

[tex]V' = (10,2)[/tex]

First, calculate distance SV

Distance formula is:

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

For SV:

[tex]d_1 = \sqrt{(15 - 3)^2 + (3 - 6)^2}[/tex]

[tex]d_1 = \sqrt{(12)^2 + (-3)^2}[/tex]

[tex]d_1 = \sqrt{144 + 9}[/tex]

[tex]d_1 = \sqrt{153}[/tex]

For S'V'

[tex]d_2 = \sqrt{(10 - 2)^2 + (2 - 4)^2}[/tex]

[tex]d_2 = \sqrt{64 + 4}[/tex]

[tex]d_2 = \sqrt{68}[/tex]

The scale factor is then calculated using:

[tex]Scale = \frac{S'V'}{SV}[/tex]

[tex]Scale = \frac{d_2}{d_1}[/tex]

Substitute values of d1 and d2

[tex]Scale = \frac{\sqrt{68}}{\sqrt{153}}[/tex]

[tex]Scale = \sqrt{\frac{68}{153}}[/tex]

[tex]Scale = \sqrt{\frac{1}{2.25}}[/tex]

[tex]Scale = \frac{1}{1.5}[/tex]

Express as a proper fraction

[tex]Scale = \frac{1*2}{1.5*2}[/tex]

[tex]Scale = \frac{2}{3}[/tex]

Answer:

A. m = -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (0, 0)

Point (1, -2)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

6f

Step-by-step explanation:

Answer:

6:8:10:12

Step-by-step explanation:

Scale factor of 2-

3:4:5:6

multiply each number by 2

6:8:10:12

Answer:

Henry derived the value of m correctly

Step-by-step explanation:

insert m into the equation

3(3+2)=12+3

3(5)=15

15=15

Henry derived the value of m correctly

Answer:

The dialation is of 2

Step-by-step explanation:

QR = 3 units

QS = 2 units

RS = 2 units

Q'R' = 6 units

Q'S' = 4 units

R'S' = 4 units

So as you can see, this triangle has doubled it's size, since it has been multiplied by 2.

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

Thank you!

Step-by-step explanation:

Have a nice day/night lol

Answer:

1^2 +68=69

Step-by-step explanation:

by sqrt rooting 2 by 1 is 1

Answer:

A. 4+4

B. 2x4

C. a=2

D. a=5 b=7

Answer:

I think if I'm understanding it right it's 8 times larger but that may be wrong

Answer: 6.09756097561

Step-by-step explanation: that many times

Answer:

I believe the answer to part A is 55. I just added the number of french speakers to the number of females and then subtracted 16. If that answer is correct, then the answer to part b is 68.75%

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