A shirt is priced at $12. What is the price after a 15% discount and 7% sales tax?

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

tan a = [tex]\frac{sina}{cosa}[/tex], cot a = [tex]\frac{cosa}{sina}[/tex]

sec a = [tex]\frac{1}{cosa}[/tex], cosec a = [tex]\frac{1}{sina}[/tex]

Consider the left side

tana + cota

= [tex]\frac{sina}{cosa}[/tex] + [tex]\frac{cosa}{sina}[/tex]

= [tex]\frac{sin^2a+cos^2a}{cosasina}[/tex]

= [tex]\frac{1}{cosasina}[/tex]

= [tex]\frac{1}{cosa}[/tex] × [tex]\frac{1}{sina}[/tex]

= seca . coseca

= right side , thus proven

Answer:

[tex](13,-23)[/tex]

Step-by-step explanation:

Given

Translation: [tex](x,y) -> (x-4,y+15)[/tex]

Required

Determine the pre-image of (9,-8)

In (9,8)

[tex]x = 9[/tex] and [tex]y = -8[/tex]

So:

[tex](x,y) -> (x-4,y+15)[/tex]

Becomes

[tex](9,8) ->(x-4,y+15)[/tex]

By comparison:

[tex]x - 4 = 9[/tex]

[tex]y + 15 = 8[/tex]

Solving for (x):

[tex]x - 4 = 9[/tex]

[tex]x = 9 + 4[/tex]

[tex]x = 13[/tex]

Solving for (y):

[tex]y + 15 = -8[/tex]

[tex]y = -8 - 15[/tex]

[tex]y = -23[/tex]

Hence, the pre -image has a coordinate of [tex](13,-23)[/tex]

Answer:

2a + 3c + 4d

Step-by-step explanation:

This is the answer because:

1) Nothing further can be done to this equation since there are no like terms.

Therefore, the answer is 2a + 3c + 4d.

Hope this helps! :D

Answer:

8 minutes

Step-by-step explanation:

Step one:

given

A submarine is 105 feet below the surface of the water

depth of submarine= 105 feet

let the time of ascending be x

Required

The time taken to ascend up to 81 ft

Step two:

the expression for the situation is

81=105-3x

solve for x

3x=105-81

3x=24

divide both sides by 3

x= 24/3

x=8 minutes

Answer:

a for 2 b for 3 c for 1 and d is 4

Step-by-step explanation:

Answer: 6 in. x 10 in.

Step-by-step explanation:

Nash is making a framed enlargement of a Mary Cassatt postage stamp to present to a retired postmaster.

1. The scale of enlargement is 2 inches to 1 centimeter.

2. The actual length of the stamp = 3 centimeters

3. The length of frame =   2 x 3 = 6 inches

4. The actual width of the stamp = 5 centimeters

5. The width of frame =  2 x 5 = 10 inches

Conclusion: Because of this, the dimensions for the scale picture would be 6 by 10 inches

Answer:

15

225-75=150

150÷10=15

Answer:

t=10

Step-by-step explanation:

4=t/2.5

4=t/25/10

divide 25and10 by 5=5/2

4=t/5/2

4=t×2/5

multiply both sides of the equation by 5

5×4=t×2/5×5

20=t×10/5

20=t×2

— —

2. 2

10=t

Answer:

10 kg = 10g = 10 mg

Hope this helped ;)

Answer:

The correct answer is D) 200

Step by step explanation:

Let x be the number:

Then,

→15/100(x)=30

→3/20(x)=30

→3x/20=30

→3x=20⋅30

→3x=600

→x=600/3=200

Hope it helps!

Answer:

D 200

Step-by-step explanation:

Let the number we are find be x. We can write this as an equation:

30 = 15%*x = (15/100)x

Multiplying by 100/15 on both sides to isolate x:

x = 30(100/15) = 2(100) = 200

Therefore, 200 is our answer. I hope this helps! :)

Answer:

1) The first equation of the system is y = 2·x + 3

2) The second equation of the system is y = 3·x - 1

3) The solution of the system is (4, 11)

Step-by-step explanation:

1) From the coordinates of the first table, we have;

The points of the y-coordinate have a common difference of two

The rate of change of the function using the first and the last point is given as follows;

Rate of change = Slope, m = (7 - 1)/(2 - (-1)) = 2

The, equation of the line in point and slope form is, y - 7 = 2 × (x - 2)

∴ The equation of the line in slope and intercept form is y = 2·x + 3

Therefore, the first equation of the system is y = 2·x + 3

2) Similarly from the coordinates of the second table, we have;

The points of the y-coordinate have a common difference of six

The rate of change of the function using the first and the last point is given as follows;

Rate of change = Slope, m = (11 - (-7))/(4 - (-2)) = 3

The, equation of the line in point and slope form is, y - 11 = 3 × (x - 4)

∴ The equation of the line in slope and intercept form is y = 3·x - 1

Therefore, the second equation of the system is y = 3·x - 1

3) Equating both equations in the system of equations to find a common solution gives;

2·x + 3 = 3·x - 1

∴ x = 4

From y = 3·x - 1  or y = 2·x + 3, we have the value of y at the solution point as  y = 3 × 4 - 1 = 11 or 2 × 4 + 3 = 11

∴ y = 11 at point of the common solution of the system of equations

Therefore, the coordinates of the common point which is the solution of the system is (4, 11).

Answer:

Select the correct answer from each drop-down menu.

A system of linear equations is given by the tables.

x y

-1 1

0 3

1 5

2 7

x y

-2 -7

0 -1

2 5

4 11

The first equation of this system is y =

2

x + 3.

The second equation of this system is y = 3x −

1

.

The solution of the system is (

4

,

11

).

Step-by-step explanation:

Answer:

f(- 3) = 40

Step-by-step explanation:

To evaluate f(- 3), substitute x = - 3 into f(x), that is

f(- 3) = - 2(- 3) - 9(- 3) + 7 = 6 + 27 + 7 = 40

<DSR + <SRD + <RDS = 180° (Angle sum property)

2x + x +3x = 180°

6x = 180°

x = 180°/6

x = 30°

So, <SRD = x = 30°

<RDS = 3x = 3(30°) =90°

<DSR = 2x = 2(30°) = 60°

Hope it helps !

✌️

Jai hind !

Answer:

[tex]3x + 2x + x = 180 \\ 6x = 180 \\ \boxed{x = 30}[/tex]

Angles are 30°,60° and 90°.

Step-by-step explanation:

Since cosecx = 1 / sinx,

sinФ = 1 / cosecФ = 1 / (4/3) = 3/4.

Answer: pretty sure it is 56.5

Step-by-step explanation:

Step-by-step explanation:

13.8pie is correct answer of your question

Answer:

12%

Step-by-step explanation:

We can get SI of 3 years = 12005 - 9800 = 2205

SI for 5 years = (2205/3)*5 = 3675 [so that we can get principal amount after deducting SI]

Principal = 12005 - 3675 = 6125

So Rate = (100*3675)/(6125*5) = 12%

Answer:

C

Step-by-step explanation:

7.5 per ticket for every adult and 6 for every child to 7.5a+6c=1267 which is how much they made. Then since the theater sold 180 tickets then a+c=180

Answer:

As, this question is incomplete and without data we can not answer this question. But we can make it complete by adding our own values. Let's do it and calculate.

Average Time = 23.4 minutes is the time that Mrs Brim wanted to see.

Step-by-step explanation:

As, this question is incomplete and without data we can not answer this question. But we can make it complete by adding our own values. Let's do it and calculate.

Let's suppose, there are 10 students in the class of Mrs. Brim and she took 5 tests on subsequent days and made chart to know the average time her students took to solve the test.

Total time of test = 30 minutes

Average time taken by the students to solve the test on Day 1 = 25 minutes.

Average time taken by the students to solve the test on Day 2 = 27 minutes.

Average time taken by the students to solve the test on Day 3 = 22 minutes.

Average time taken by the students to solve the test on Day 4  = 23 minutes.

Average time taken by the students to solve the test on Day 5 = 20 minutes.

Average Time in all Tests = Sum of all times / total number of days

Average Time = (25 + 27 + 22 + 23 + 20) / 5 days

Average Time = 117/5

Average Time = 23.4 minutes is the time that Mrs Brim wanted to see.

Answer and Step-by-step explanation:

It's very easy.

If you have two shapes, let's say triangles, the shapes are said to be similar if the corresponding angles are equal. For instance a triangle ABC with angles A = 45, B = 45 and C = 90 if there is another triangle PQR with angles P = 45, Q = 45 and R = 90, we say triangle ABC and triangle PQR are similar because their corresponding angles are equal.

Two triangles are said to be congruent if they are exactly the same in angles and size. All congruent shapes are similar but not all similar shapes are congruent.

To find area of similar shapes, we need what we call the scale factor of the enlargement.

If we have two similar shapes where by one is an enlargement of the other. Let's say the enlargement is in ratio 2:1. This ratio 2:1 is what we call scale factor. If we want to find the area of one shape given the area of a similar one to it, we make use of

Area = (scale factor)². For instance if we have two similar triangles, the area of the bigger is 16cm² and the scale factor is 2:1, we can find the area or the smaller by:

(2/1)² = 16/X = 4/1 = 16/X

4x = 16 and x = 4.

To find volume we use:

Volume = (scale factor)³ and the process is the same.

Answer:

(0,5)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The constant rate of change in this question simply means the slope

To get the slope, we simply get two points and apply the slope equation;

The points are;

(3,60) and (6,30)

The slope equation is;

m = (y2-y1)/(x2-x1) = (30-60)/(6-3) = -30/3 = -10 ft/s

So our answer is the first option as it represents a decent of -10 ft/s

Answer:

cotθ = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

Using the trigonometric identity

cot x = [tex]\frac{cosx}{sinx}[/tex], then

cotθ = [tex]\frac{-0.8}{-0.6}[/tex] = [tex]\frac{8}{6}[/tex] = [tex]\frac{4}{3}[/tex]

Answer:

The Width of each side of the bookmark in centimeters = 5cm

Step-by-step explanation:

A bookmark shaped like a rectangle has a total perimeter of38cm the length of the one of its sides is 14 what is the width of each side of the bookmark in centimeters

The formula for perimeter fo a rectangle =

P = 2L + 2W

Where L = Length

W = Width

Hence: From the above question:

38cm = 2 × 14 cm + 2 W

38cm = 28cm + 2W

2W = 38cm - 28cm

2W = 10cm

W = 10cm/2

W = 5cm

Hence, the Width of the rectangle(each side of the bookmark in centimeters) = 5cm

Answer:

A

Step-by-step explanation:

xy = 10/5 = 2

the other wrong because

xy = 1

xy = ½

xy = 11

Answer:

I think C

Step-by-step explanation:

The component form and magnitude of the vector is  < -6, -2>, √ 40, the correct option is A.

A vector is a quantity that needs both magnitude and direction for its representation.

A vector has origin (6, 2) and terminal point (0, 4).

The component of vectors is determined by the formula

<x,y> = < (x₂- x₁ ) , (y₂-y₁)>

<x,y> = < (0-6), (4-2)>

<x,y> = < -6, -2>

The magnitude of the vector is determined by

[tex]\rm |v| = \sqrt{x^2 +y^2[/tex]

|v| = √ 40

The correct options are  

LeftAngleBracket negative 6, 2 RightAngleBracket and StartRoot 40 EndRoot LeftAngleBracket negative 6, 7 RightAngleBracket and 40 LeftAngleBracket negative 2,6 RightAngleBracket and StartRoot 47 EndRoot LeftAngleBracket negative 2, 6 RightAngleBracket and StartRoot 40

To know more about Vectors

brainly.com/question/25705666

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