if a scarf is 25 percent off and normally cost 20 dollars how much will it cost after 6.5 percent sales tax is paid?​

The amount of juice the cup can hold given that the cup has diameter of 8 centimeters and a height of 12 centimeters is 602.88 cm³

To know the amount of juice the cup can hold, we shall obtain the volume of the cup.

We shall use the formula for obtaining volume of cylinder to obtain the volume of the cup. Details below:

Volume = πr²h

Volume = 3.14 × 4² × 12

Volume = 3.14 × 16 × 12

Volume = 602.88 cm³

Thus, we can conclude from the above calculation that the amount of juice the cup can hold is 602.88 cm³

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If she wants to meet her target distance 3/20 steps need to be taken.

Emily made the decision to walk 4/5 kilometers every day in order to keep healthy. She walked a distance of 2/5 miles to work and a distance of 1 mile for lunch.

The desired range is 4/5 miles.

walked for 2/5 miles and for 1/4 miles.

Total miles walked is \(\frac{2}{5} + \frac{1}{4}\)

= \(\frac{13}{20}\)

Mileage walked overall is +

LCD is 20

add the fractions after matching the denominators

The desired range is 4 to 5 miles.

Now deduct the distance you walked from the goal distance.

\(\frac{4}{5} - \frac{13}{20} \\\\\frac{16}{20} - \frac{13}{20} \\\\\frac{3}{20}\)

the required walking distance is 3/20

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Answer:

9

Step-by-step explanation:

18%of 50

18/100×50

0.18×50= 9

Answer:

9

Step-by-step explanation:

18% of 50

We can rewrite it as,

> 18/100 * 50

Solving,

Hence,18% of 50 = 9

Answer:

The length of a is equal to 14.9.

The angle measure of b is equal to 71°.

The length of c is equal to 25.5.

General Formulas and Concepts:
Pre-Calculus

Law of Sines:
\(\displaystyle \bold{ \frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c} }\)

Step-by-step explanation:

Step 1: Define

Identify given from triangle.

Length corresponding with x°: 14.9

Other given angle: 71°

Length corresponding with 71°: 25.5

Step 2: Find Values

∴ we have completed the expression using Law of Sines.

---

Topic: Precalculus

Unit: Trigonometry

If A and B are mutually exclusive, P(A ∩ B) = 0.True.

When two events A and B do not have any common outcomes, they are referred to as mutually exclusive events. The occurrence of one event implies that the other cannot occur. The probability of their intersection is always zero (P(A ∩ B) = 0).Mutually exclusive events are events that cannot occur at the same time. It's impossible for both events to happen since they don't have any outcomes in common. For example, rolling a six on a die and rolling a three on the same die are mutually exclusive events.The formula for the probability of the union of two events is:P(A ∪ B) = P(A) + P(B) - P(A ∩ B)Where P(A ∩ B) is the probability of their intersection.

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To write the equation of a circle you need the coordinates of the center (h,k) and the radius (r):

For the given circle:

Center: (3,5)

Radius (distance between center and circunference): 7 units

h= 3

k= 5

r= 7

Equation:

Answer:

\(\frac{20}{13}\) + \(\frac{5}{13}\) \(\sqrt{3}\)

Step-by-step explanation:

Given

\(\frac{5}{4-\sqrt{3} }\)

To rationalise the denominator, multiply the numerator/ denominator by the conjugate of the denominator.

The conjugate of 4 - \(\sqrt{3}\) is 4 + \(\sqrt{3}\)

= \(\frac{5(4+\sqrt{3}) }{(4-\sqrt{3})(4+\sqrt{3}) }\)

= \(\frac{20+5\sqrt{3} }{16-3}\)

= \(\frac{20+5\sqrt{3} }{13}\)

= \(\frac{20}{13}\) + \(\frac{5}{13}\) \(\sqrt{3}\)

Answer:

-6 and 7

Step-by-step explanation:

-6 and 7 multiply to be -42.

When you add the two values: -6+7=1

Their sum is 1!

Hope this helps

Answer:

2, -1

Step-by-step explanation:

The 16 factors of -42 are

1, 2, 3, 6, 7, 14, 21, 42

-1, -2, -3, -6, -7, -14, -21, -42

The pair of factors that have a sum of 1 is

2, -1

2 + (-1)

=1

3, -2 also

7, -6 also.

Answer:

They should walk on a bearing of 59.4 degrees

Step-by-step explanation:

Given

\(South = 4.2km\)

\(West = 7.1km\)

Required

The bearing back to the base

The given question is illustrated with the attached image.

To do this, we simply calculate the measure of angle a using:

\(\tan(a) = \frac{Opposite}{Adjacent}\)

\(\tan(a) = \frac{7.1}{4,2}\)

\(\tan(a) = 1.6905\)

Take arctan of both sides

\(a = \tan^{-1}(1.6905)\)

\(a = 59.4^o\)

The bearing that the scout should work is N59.4W for the shortest distance

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let  A represent the angle that the scouts walk

tan∠A = 4.2/7.1

A = 30.6°

The bearing that the scout should work is N59.4W (90 - 30.6) for the shortest distance

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Answer: there is no answer

Step-by-step explanation:

Answer:

25.1 degrees

Step-by-step explanation:

So, we’re trying to solve for angle x, and we’ve been given the opposite and the hypotenuse. Recalling SohCahToa, we can figure out that the best trigonometric function for this problem would be sine, as sine is the Opposite/Hypotenuse.

sin(x) = O/H

sin(x) = 4.2/9.9

sin(x) = 0.4242424242…

Next, we need to isolate x. In order to do that, we need the inverse of sin, which is sometimes known as arcsine.

arcsin(sin(x)) = arcsin(0.424242…)

^This part simplifies to just x:

x = arcsin(0.424242…)

Using a calculator, this is found to be 25.1 when rounded to the nearest tenth. Therefore, the answer is x = 25.1 degrees.

Hope this helps!

The one that belongs where the "x" is is "Oxygen is used up."

By using unitary method, we found that the cost of 5m cloth is Rs. 1050.

According to the unitary method, the cost of 1 meter of cloth is equal to the total cost of 7 meters of cloth divided by 7. That is,

Cost of 1m cloth = Total cost of 7m cloth/7

We know that the total cost of 7m cloth is Rs. 1470. Therefore,

Cost of 1m cloth = 1470/7

Cost of 1m cloth = Rs. 210

This means that the cost of 1 meter of cloth is Rs. 210. Now, we need to find the cost of 5m cloth. To do that, we can use the unitary method again.

Cost of 5m cloth = Cost of 1m cloth x 5

Cost of 5m cloth = Rs. 210 x 5

Cost of 5m cloth = Rs. 1050

Therefore, the cost of 5m cloth is Rs. 1050.

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Answer: B

Step-by-step explanation: These lines are parallel. If you count over then down from point to point, then the slope for both lines is negative since it is going down, the slop is -2/1

Answer:

Step-by-step explanation:

1). \(((3^2)^{3} )^{\frac{1}{3} }\) = 3² = 9

2). \((x^{3} )^{\frac{2}{3} }\) = 4² = 16

3). \(((15^{3} )^{\frac{1}{3} } )^{2}\) = 15² = 225

4). \(((21^{3} )^{\frac{1}{3} } )^{2}\) = 14² = 196 (Sorry I made a mistake, the base should be 14)

5). \((5^{3} )^{\frac{2}{3} }\) = 25

6). ( \((16^{3} )^{\frac{1}{3} }\) )² = 256

Answer: No real solutions

Step-by-step explanation: to solve for x and find a solution you need to take the square root of -144

This is not possible as this a negative number . There is a solution if we use complex numbers, but this not included in the question

Answer:

5x+19=6x+1

5x+18=6x

18=x

x=18

Hope This Helps!!!

Answer:

Lower right

Step-by-step explanation:

In a linear function, you always add the same number to the y to get the next y. See in that table the first y is 7. Add 2 to get to 9. So to be linear, you need to add 2 to get each other y. So, 7, 9, 11, 13, that's how you know it's a linear function because you add 2 to get the next y term (the fancy term is a common difference, but the idea is simple!)

Answer:

it the last chart the that saids

Step-by-step explanation:

x=2,4,6,8

y=7,9,11,13

you just have to subtract the y and then the x and divide them by each other

like this this the y = 9-7=2 and then the x = 4-2 =2 you divide what you got for x and y 2/2 =1 and do the same for the other and it be the same number for it to be linear function

using exponents, On simplifying the equation, we get =4m+8.

The PEMDAS order of operations must be followed when you want to simplify a mathematical equation without using parenthesis (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction). There are no parenthesis in the expression, so you may start looking for exponents. If it does, first make that simpler.

Work simplification is to develop better work processes that boost output while cutting waste and costs.

Simplifying an expression is the same as solving a mathematical issue. When you simplify an equation, you essentially try to write it as simply as you can. There shouldn't be any more multiplication, dividing, adding, or deleting to be done when the process is finished.

Given equation,

m-(8-3m)

=m-8+3m

=4m+8

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Answer:

divide -11 to -11 (-11/-11)

Step-by-step explanation:

The journey along Line segment X Y is longer than the path along Line segment Z Y, and the path along Line segment Z Y is longer than the path along Line segment A B, hence Option-A is the correct answer.

Given that,

He makes paths that follow Line segments A and B, X and Y, and Z and Y through the garden.

We have to find which accurately compares the pathways' lengths.

We know that,

The length of the third side in a triangle is proportional to the angle Ф  if the lengths of the two sides that make up the angle Ф are fixed.

XY > YZ because XY's opposing angle (79°) is greater than YZ's (65°).

As before, YZ > AB because the opposing angle of YZ (65°) is greater than that of AB (36°).

Since both sides of the angle are the same length (8 feet),

As a result, assertion A. is accurate. (Answer)

Therefore, The journey along Line segment X Y is longer than the path along Line segment Z Y, and the path along Line segment Z Y is longer than the path along Line segment A B, hence Option-A is the correct answer.

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Answer:

It's A

Step-by-step explanation:

I got 100 on the quiz

Answer:

The answer is 140

The yellow part which is shaded is 14x10 which equals 140

Answer:

20%

Step-by-step explanation:

200 mocha flavored cupcakes of the 500 cupcakes were sold. (200/500).

Reduce to 2/5. Then multiply 20/20 to 2/5 and get 20/100.

20% cupcakes were mocha flavored.

The logic behind me rewriting the fraction to 20/100 was because 200/500 could easily be divided be 100 and 5.

Answer:40%

Step-by-step explanation: 200/500=?/100

2/5 x 20/20= 40/100

40%

Answer: 3.675 seconds

Step-by-step explanation:

Hi, when the object hits the ground, h=0:

h=−16t^2+48.6t+37.5

0=−16t^2+48.6t+37.5

We have to apply the quadratic formula:  

For: ax2+ bx + c  

x =[ -b ± √b²-4ac] /2a  

Replacing with the values given:  

a=-16 ; b=48.6; c=37.5

x =[ -(48.6) ± √(-48.6)²-4(-16)37.5] /2(-16)  

x = [ -48.6 ± √ 4,761.96] /-32

x = [ -48.6 ± 69] /-32

Positive:  

x = [ -48.6 + 69] /-32 = -0.6375

Negative:  

x = [ -48.6 - 69] /-32 = 3.675 seconds (seconds can't be negative)

Feel free to ask for more if needed or if you did not understand something.  

Answer:

C

Step-by-step

The amount of the annual withdrawals will be $16,574.24.

The given data in the problem is;

P = annual payment

PV= present value = $150,261

r= rate of intreast = 9.1% =9.1/100= 0.091

n = time period= 20

\(P=\frac{r\times PV}{1-(1+r)^{-n}}\)

\(P=\frac{0.091\times 150261}{1-(1+0.091)^{-20}}\)

\(P=16754.24\)

Therefore, the amount of the annual withdrawals will be $16,574.24.

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To determine the amount of sodium in a hot dog, we can set up a system of equations using the given information:

Let's assume the amount of sodium in a hot dog is represented by "x" (in mg).

From the first statement, we can form the equation:

4x + 2(0) = 3360

Since there is no sodium in cottage cheese (0 mg), the equation simplifies to:

4x = 3360

Similarly, from the second statement, we can form the equation:

2x + 5(0) = 4720

Again, simplifying the equation, we have:

2x = 4720

Now, we can solve the system of equations to find the value of x, representing the amount of sodium in a hot dog.

By solving the first equation:

4x = 3360

x = 840

And by solving the second equation:

2x = 4720

x = 2360

We have obtained two different values for x, which indicates that there may be an error or inconsistency in the given information. Therefore, we cannot accurately determine the amount of sodium in a hot dog based on the provided data.

It's important to note that the inconsistency could be due to a mistake in the data or a misunderstanding in the problem's description. If the data is correct, further clarification or additional information would be necessary to accurately determine the amount of sodium in a hot dog.

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