Ben wants to buy a baseball cap that cost $24.50. The state sales tax is 8%, or 0.08. How much will he pay in sales tax ​

The value of x is 20.

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,

Sin 30 = 10 / x ______(10

We know that,

Sin 30 = 1/2 _____(2)

So,

Substituting (2) in (1).

1/2 = 10/x

x = 10 x 2

x = 20

Thus,

The value of x is 20.

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Answer:1 black 4 white

Step-by-step explanation:

It must be 2:3 so you have to change the current ratio from black to white(7:8) to 2:3

So the first number has to be the closets multiple of 2(8) and you have to divide 8 by 2 to get 4 and multiply that by 3 to get the ratio 8:12 which is equivalent to 2:3

Answer:

x = 4

Step-by-step explanation:

The inner and outer triangles are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{x}{5}[/tex] = [tex]\frac{8}{10}[/tex] ( cross- multiply )

10x = 40 ( divide both sides by 10 )

x = 4

Answer:

24% yes yes yes

Answer:

24% or [tex]\frac{6}{25}[/tex]=24%

Step-by-step explanation:

We know that

[tex]\frac{6}{25}[/tex]

Is the same as

6÷25

Then, using long division gives us

0.24

Lastly, multiplying 0.24 by 100 gives us

24

Now add the percent sign

24%

Answer:

wouldnt it be d

Step-by-step explanation:

Answer:

there are different intrest rates, depending on where it is. but im choosing 8400

Step-by-step explanation:

Answer:

f(11) = 9

Step-by-step explanation:

f(x) = 1/4(5-x)^2

f(x) = 1/4 (5-11) ^2

f(11) = 1.25 - 2.75 ^2

f(11) = 9

Answer:

I think it´s 12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

because 15% (or 0.15) times 80 equals 12.

Answer:

Area of triangle = 20 square yards

Step-by-step explanation:

The height of triangle = 5 yd

The base of triangle = 8 yd

We need to find area of triangle.

The formula used is: [tex]Area\: of\: triangle=\frac{1}{2}\times base \times height[/tex]

Putting values and finding area

[tex]Area\: of\: triangle=\frac{1}{2}\times base \times height\\Area\: of\: triangle=\frac{1}{2}\times 8 \times 5\\Area\: of\: triangle=4 \times 5\\Area\: of\: triangle=20\:square\:yards[/tex]

So, Area of triangle = 20 square yards

Answer:

x = 43000/9 or 4777.7 (i'm not 100% sure on this, so i apologize if i'm incorrect)

Step-by-step explanation:

The equation you were given was:

amount of solution • rate of concentration = amount of pure acid

By looking at the question, you can conclude that the amount of solution being used is 18%. You need to turn that into a decimal, therefore it'd be 0.18.

You can also conclude that the amount of pure acid being used is 860 milliliters. So, from this, you're able to fill in 2 parts of the equation:

0.18 • x = 860 mL

Now, all there's left to do is solve for x! To do this ,you'll need to rearrange the multiplication problem into a division problem.

860 / 0.18 = x

x = 43000/9 or 4777.7

Answer:

Step-by-step explanation:

Given function:

a) Maximum height is the vertex of the graph. Time needed:

If we double this time then diver will pass the peak point and it doesn't double the height

b) Maximum height is at vertex:

c) Distance from water after 2 seconds:

Answer:

4th one

Step-by-step explanation:

In geometry, a unit cube is a cube  whose each side is 1 unit long.

Answer:

4TH ONE

Step-by-step explanation:

Answer:

gave no examples.. this is what I got

Step-by-step explanation:

Answer: 8x−3

Step-by-step explanation:

Let's simplify step-by-step.

7−x−−5x−10+4x

=7+−x+5x+−10+4x

Combine Like Terms:

=7+−x+5x+−10+4x

=(−x+5x+4x)+(7+−10)

=8x+−3

If I Helped, Please Mark Me As Brainliest, Have A Great Day :D

Answer:

8 x -3

Step-by-step explanation:

because you do the equation on math w a y

Answer:

5

Step-by-step explanation:

good luck

Answer:

5) we get a=6

6) we get c=8

Step-by-step explanation:

The triangles given are similar.

When the triangles are similar, the ratio of corresponding sides are also similar.

5) If c = 12, find a

We will use the ratio

[tex]\frac{30}{12}=\frac{15}{a}[/tex]

Now cross multiply to find value of a

[tex]30*a=12*15\\a=\frac{180}{30}\\a=6\\[/tex]

So, we get a=6

6. If b = 6.4, find c

We will use the ratio

[tex]\frac{30}{c}=\frac{24}{6.4}[/tex]

Now cross multiply to find value of b

[tex]30*6.4=24*c\\c=\frac{192}{24}\\c=8\\[/tex]

So, we get c=8

Answer:

x = 2

Step-by-step explanation:

7(3x + 5) - x = 75

1. Distributive property

multiply 7 by whatever is in the parenthesis

7*3x + 7*5 - x = 75

21x + 35 - x = 75

2. Combine like terms

21x - x = 20x

20x + 35 = 75

3. Subtract 35 on both sides

20x + 35 - 35 = 75 - 35

20x = 40

4. Divide both sides by 20 since u want to isolate the variable

20x/20 = 40/20

x = 2

And thats ur answer

Hope this helped!

Answer:

21:84

Step-by-step explanation:

Answer:

Step-by-step explanation:

We have a box with 84 chocolates

63 are dark, milk=84-63=21

21/63=1/3 is the ratio

for each 1 milk chocolate we have 3 dark chocolates

Answer:

1/3 for a.

2/3 for b.

[character limit pass]

Answer:

i think it is b

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Plz mark brainliest

Answer:

X/12

Step-by-step explanation:

X - whole drywall

X/4 -quarters

X/4/3=X/12 fraction of a whole sheet is each of these small pieces

Answer:

B

Step-by-step explanation:

if you have a scientific calculator or you can also your phone it will show you the answer.

The value of expression in simplified form is,

⇒ - 77√30

The given expression is,

⇒ (- 7 √3) × (11 √10)

We can simplify it by multiply like terms,

⇒ (- 7 √3) × (11 √10)

⇒ (- 7 × 11) × (√3 × √10)

⇒ - 77 × √30

⇒ - 77√30

Therefore, The value of expression in simplified form is,

⇒ - 77√30

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Answer: -m^4

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

-1 x -1 x -1 = 1

Answer:

3x16+8x8

Step-by-step explanation:

3 lots of 16  

+

8 lots of 8

Answer:

I know that 1 and 3 are correct.

Step-by-step explanation:

3x16+8x8

There are 8 childrens tickets, which each cost 8 dollars so you multiply those.

There are three adult tickets, which each cost 16 dollars so you multiply those and then you add the two products together.

3x16+8²

8 squared is just 8x8.

There are three adult tickets, which each cost 16 dollars so you multiply those and then you add the two products together.

Answer:

the answer would be A

Step-by-step explanation:

Answer:

A. 1,876 tissue holders

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

The answer of this question is 60 degree

Answer:

The decibel level of this second sound is 48.021 decibels.

Step-by-step explanation:

The acoustic intensity ([tex]B_{dB}[/tex]), measured in decibels, is defined by the following formula:

[tex]B_{dB} = 10\cdot \log_{10}\left(\frac{I}{I_{o}} \right)[/tex] (1)

Where:

[tex]I_{o}[/tex] - Reference sound intensity, measured in watts per square meter.

[tex]I[/tex] - Real sound intensity, measured in watts per square meter.

If we know that [tex]B_{dB} = 42\,dB[/tex] and [tex]I_{o} = 10^{-12}\,\frac{W}{m^{2}}[/tex], then the real sound intensity of the first sound is:

[tex]\frac{B_{dB}}{10} = \log_{10}\left(\frac{I}{I_{o}} \right)[/tex]

[tex]\frac{I}{I_{o}} = 10^{\frac{B_{dB}}{10} }[/tex]

[tex]I = I_{o}\cdot 10^{\frac{B_{dB}}{10} }[/tex]

[tex]I = \left(10^{-12}\,\frac{W}{m^{2}} \right)\cdot 10^{\frac{42\,dB}{10} }[/tex]

[tex]I = 1.585\times 10^{-8}\,\frac{W}{m^{2}}[/tex]

The real sound intensity of the second sound is four times greater, that is:

[tex]I' = 6.340\times 10^{-8}\,\frac{W}{m^{2}}[/tex]

If we know that [tex]I_{o} = 10^{-12}\,\frac{W}{m^{2}}[/tex] and [tex]I' = 6.340\times 10^{-8}\,\frac{W}{m^{2}}[/tex], then the acoustic intensity of the second sound is:

[tex]B_{dB} = 10\cdot \log_{10}\left(\frac{I'}{I_{o}} \right)[/tex]

[tex]B_{dB} = 10\cdot \log_{10}\left(\frac{6.340\times 10^{-8}\,\frac{W}{m^{2}} }{10^{-12}\,\frac{W}{m^{2}} } \right)[/tex]

[tex]B_{dB} = 48.021\,dB[/tex]

The decibel level of this second sound is 48.021 decibels.

Answer:

x>-1

Step-by-step explanation:

Answer:

38 yards

Step-by-step explanation:

All you have to do is add up all that yardsgained and subtract the yards lost:

32-7+15-2=38

Answer:

38

Step-by-step explanation:

32-7=25

25+15=40

40-2=38

Answer:

64ft

Step-by-step explanation:

a+b/2xh

17+9=16

16/2=8

8x8=64ft