The cost was 1,784. they also had to pay 7.25% sales tax. what was the total amount paid

[tex]\text{Given that,}\\\\\cos \theta = -\dfrac 25 \\\\\implies \cos^2 \theta = \dfrac 4{25}\\\\\\\implies 1- \sin^2 \theta = \dfrac{4}{25}\\\\\\\implies \sin^2 \theta = 1-\dfrac{4}{25}\\\\\\\implies \sin^2 \theta =\dfrac{21}{25}\\\\\\\implies \sin \theta = \pm \sqrt{\dfrac {21}{25}} = \pm \dfrac{\sqrt{21}} 5\\\\\text{Since}~ \tan \theta>0,~ ~\text{the value of} ~\sin \theta ~\text{wii be:} \\\\\sin \theta = -\dfrac{\sqrt{21}}5[/tex]

Answer:

Source:

Answer:

The ordered pair is not a solution as both sides of the equation do not equal each other.  

Step-by-step explanation:

(3,2);  x + 6y = 13

(3) + 6(2) = 13

3 + 12 = 13

15 = 13

Answer:

its c

Step-by-step explanation:

Answer:

[tex]x=\frac{275}{62}[/tex] , [tex]y=\frac{127}{31}[/tex]

Step-by-step explanation:

We want to make the X's the same:

[tex]24x-15y=45[/tex]

[tex]24x+16y=172[/tex]

Because the signs of the X's are the same we subtract the 2 equations to make:

(I put the second one on top of the 1st)

[tex]31y=127[/tex]

So:

[tex]y=\frac{127}{31}[/tex]

Substitute y into either equation 1 or 2:

(I chose equation 1)

[tex]8x-5(\frac{127}{31})=15[/tex]

[tex]8x=5(\frac{127}{31}) + 15[/tex]

[tex]x=\frac{5(\frac{127}{31})}{8}[/tex]

So:

[tex]x=\frac{275}{62}[/tex]

The values of a and be for which x = 4 is a solution of the equation shown.

ax + 4 = 5x + b are infinitely many

The given equation is:

ax  +  4  =  5x   +  b

To find the values of a and b in the equation at x = 4, substitute x = 4 into the equation

4a  +  4  =  5(4)  +  b

4a  +  4   =  20  +  b

Collect like terms

4a  -  b  =  20  -  4

4a  -  b   =   16

Since there are two unknowns in just a single equation, the equation has more than 1 solution.

The values of a and be for which x = 4 is a solution of the equation shown.

ax + 4 = 5x + b are infinitely many

Learn more on linear equations here: https://brainly.com/question/13763238

Answer:

x= < 4 9/10

Step-by-step explanation:

I hope this helps

Have a great and blessed day

Answer:

K12 Answer

Step-by-step explanation:

Answer:

Function is slightly increasing

Step-by-step explanation:

PLATO

Step-by-step explanation:

(4x-1) × (2x+5)

3x × 7x

21x

The answer is = 21x

Answer: Sarah got 60 questions correct, 15 questions wrong, and she got 20% of the questions wrong.

Step-by-step explanation:

First, let's solve for how many questions Sarah got correct.

80% as a fraction can be simplified as [tex]\frac{8}{10}[/tex]. To find how many questions Sarah answered correctly, we can set up a proprtional relationship as follows:

[tex]\frac{8}{10}=\frac{?}{75}[/tex]

Next, after we cross multiply, 8 X 75 = 600, and 600 ÷ 10 = 60

So, Sarah got 60 out of 75 questions correct.

To find how many she missed, we can simply subtract 60 from 75 to get 15.

So, Sarah got 15 out of 75 questions wrong.

Finally, to find the percentage of the questions that Sarah got wrong, we can use the 15 out of 75 incorrect questions that we found earlier to create a percentage.

15 ÷ 75 = 0.2

0.2 X 100 = 20

So, Sarah got 20% of the questions wrong.

Step-by-step explanation:

it represents a point on the line defined by the function equation.

it means that after 12 seconds the chair lift will have reached a height of 334 ft (after a starting height of 220 ft).

Area =[tex]\pi r^{2}[/tex]

The diameter is double the length of the radius

7 ÷ 2 = 3.5

3.5 × 3.5 = 12.25

[tex]12.25\pi[/tex] = 38.4845100064751

38.4845100064751 rounded to the nearest tenth is 38.5

Answer:

A = 38.5 sq meters

Step-by-step explanation:

A = πr²

since diameter is 7, then radius is 7/2

A = π(7/2)²

A = 38.48

A = 38.5 rounded to nearest tenth

Answer:

D

Step-by-step explanation:

The line starts at 10 so I think it's that

Answer:

Slope of a line

m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}

m = slope

(x_1, y_1) = coordinates of first point in the line

(x_2, y_2) = coordinates of second point in the line

Step-by-step explanation:

Khan Academy

Slope review | Algebra (article) | Khan Academy

Answer:

C

Step-by-step explanation:

add top half of fractions and only if there are common denominators

Answer:

C) 1/7+1/7+1/7

Step-by-step explanation:

Make sure the denominator matches that of the answer, so since 3/7, 7 is the denominator, only b and c have 7 as a denominator. Second, all the denominators have to be equal in order for you to add the numerators. Since all denominators in C are 7, you can do 1+1+1 which equals to 3.

Answer:

3:55

Step-by-step explanation:

add 35 to 20 then put the hour =

3:55

Answer:

7:5 is another ratio equivalent to 56:40

Step-by-step explanation:

56/8 = 7

40/8 = 5

Answer:

hope this helps

Step-by-step explanation: an equivalent ratio in simplest form would be 7:5

this is found by dividing 56 by 8 which is 7 and 40 dividd by 8 which is 5

7:5

Answer:

The y = 0.5 the x = 1

Step-by-step explanation:

The y = 0.5 the x = 1

Answer:

y=1/2x

Step-by-step explanation:

y=mx+b, where m is the slope, b is the y-int and y and x are variables.

y=1/2x+0 is the answer but you dont need to add the 0.

To get the slop you do RISE/RUN which in this case is 1/2

Hope that helps. Brainliest is appreciated

Answer:

9/4 (1.75 - 21/4)

=9/4 (1.75 - 5.25)

=2.25 -3.5

= -1.25

I think your f answer is wrong

there should be -1.25

Answer:

18f+6

Step-by-step explanation:

The equation for slope intercept form is y = mx + b.

An example would be y = 3x + 4 or y = -2/5x - 4

don't quote me on this but I'm pretty sure it's H multiplication property of inequality

=====================================================

Work Shown:

(height)/(shadow length) = (height)/(shadow length)

(5 ft)/(6.5 ft) = (x ft)/(26 ft)

5/(6.5) = x/26

5*26 = 6.5*x

130 = 6.5x

6.5x = 130

x = 130/(6.5)

x = 20

The palm tree is 20 feet tall, which is the same height as a 2 story building (assuming each floor is 10 ft).

The equation showing the relationship between w and t is [tex]w = 4t[/tex]

From the table, we have the following points:

(0,0) and (1,4)

Start by calculating the slope (m)

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{4 -0}{1 -0}[/tex]

Simplify the numerator and the denominator

[tex]m = \frac{4}{1}[/tex]

Divide 4 by 1

[tex]m = 4[/tex]

The equation is then calculated as:

[tex]w = m(t - t_1) + w_1[/tex]

This gives

[tex]w = 4(t - 0) + 0[/tex]

Simplify

[tex]w = 4t[/tex]

Hence, the equation is [tex]w = 4t[/tex]

Read more about linear equations at:

https://brainly.com/question/14323743

Inequalities are used to represent unequal expressions.

The inequalities are given as:

[tex]x - 99 \le -104[/tex]

[tex]x - 51 \le -43[/tex]

[tex]150 + x \le 144[/tex]

[tex]75 < 69 - x[/tex]

Start by solving for x in all the inequalities

[tex]x - 99 \le -104[/tex]

Make x the subject: Add 99 to both sides

[tex]x \le 99 - 104[/tex]

[tex]x \le -5[/tex]

[tex]x - 51 \le -43[/tex]

Make x the subject: Add 51 to both sides

[tex]x \le 51 - 43[/tex]

[tex]x \le 8[/tex]

[tex]150 + x \le 144[/tex]

Make x the subject: Subtract 150 from both sides

[tex]x \le 144 - 150[/tex]

[tex]x \le -6[/tex]

[tex]75 < 69 - x[/tex]

Make x the subject: Add x to both sides, and subtract 75 from both sides

[tex]x < 69 - 75[/tex]

[tex]x < -6[/tex]

Hence, the solutions to the inequalities are: [tex]x \le -5[/tex], [tex]x \le 8[/tex], [tex]x \le -6[/tex] and [tex]x < -6[/tex]

See attachment for the number graphs

Read more about inequalities at:

https://brainly.com/question/11713066

Answer:

#1 and #3

Step-by-step explanation:

The reasonable estimate for the length of side DE is 3 units

Find the diagram of the question attached. The given triangle ABC and BDE are similar triangles.

Using the similarity theorem of a triangle, this is expressed as:

AC = DE

Using the pythagoras theorem to get the length of AC:

AB^2 = AC^2 + BC^2

5^2 + AC^2 + 4^2

AC^2 = 25 - 16

AC^2 = 9

AC= 3

Since AC = DE, hence the reasonable estimate for the length of side DE is 3 units

Learn more on similar shapes here: https://brainly.com/question/14285697

Answer:

5/3

Step-by-step explanation: