ILL GIVE BRAINLIEST PLEASE HELPPPP
Find the length of the missing side in the following right angled triangle (its trigonometry and i need step by step explanation plzzz ITS GONNA BE DUE IN AN HOUR HELP PLZZZZ)

To calculate Randy Burgarner's social security tax withholding, we first need to determine his gross monthly salary. Randy's total earnings to date are $14,400.00. Since we know that his gross monthly salary is $3,600.00, we can divide the total earnings by the number of months worked.

Social security tax withholding is $223.20 and medicare tax withholding for Randy Burgarner is $52.20. The solution to this problem is explained as under.

Total earnings to date: $14,400.00
Gross monthly salary: $3,600.00
Months worked = Total earnings to date ÷ Gross monthly salary
Months worked = $14,400.00 ÷ $3,600.00
Months worked = 4
Randy has worked for 4 months. Now we can calculate the social security tax withholding for this month.

The social security tax rate is 6.2% of the gross salary. To find the social security tax withholding, we multiply the gross monthly salary by the social security tax rate.
Social Security tax rate: 6.2%
Gross monthly salary: $3,600.00
Social Security tax withholding = Gross monthly salary × Social Security tax rate
Social security tax withholding = $3,600.00 × 6.2%
Social security tax withholding = $223.20
Therefore, this month's social security tax withholding for Randy Burgarner is $223.20.

Now let's calculate the Medicare tax withholding for this month.
The Medicare tax rate is 1.45% of the gross salary. To find the Medicare tax withholding, we multiply the gross monthly salary by the Medicare tax rate.
Medicare tax rate: 1.45%
Gross monthly salary: $3,600.00
Medicare tax withholding = Gross monthly salary × Medicare tax rate
Medicare tax withholding = $3,600.00 × 1.45%
Medicare tax withholding = $52.20

Therefore, this month's Medicare tax withholding for Randy Burgarner is $52.20.

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The measure of angle x and y are 55.8° and 34.2° respectively.

The figure in the image is a right triangle.

To solve for the missing angles, we use the trigonometric ratio.

Note:

Sine = opposite / hypotenuse

Cosine = Adjacent / hypotenuse

To solve for angle x:

sin( x ) = opposite / hypotenuse

sin( x ) = 14.8 / 17.9

Take the sine inverse

x = sin⁻¹( 14.8 / 17.9 )

x = 55.8°

To solve for angle y:

cos( y ) = adjacent / hypotenuse

cos( y ) = ( 14.8 / 17.9 )

Take the cosine inverse

y = cos⁻¹( 14.8 / 17.9 )

y = 34.2°

Therefore, the measure of angle y is 34.2 degrees.

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The monomial expressions that best estimates the behavior of

A. \(x-3\) as \(x\) approaches ∞ is \(x\), and as \(x\) approaches -∞ is \(-x\), B. \(x^2+4x+14\) as \(x\) approaches ∞ is \(x^2\), and as \(x\) approaches -∞ is \(x^2\) and C. the simplified ratio of \(f(x)\) as \(x\) approaches ∞ or -∞ is \(-\frac{1}{x}\) or \(\frac{1}{x}\), respectively.

A rational function is a function that can be expressed as the ratio of two polynomial functions. In this case, \(f(x)\) is a rational function with numerator \((x-3)\) and denominator \((x^2+4x+14)\).
As x approaches positive or negative infinity, the term x in the numerator and the quadratic term \(x^2\) in the denominator become dominant. Therefore, the best monomial expression to estimate the behavior of \(x-3\) as x approaches infinity is \(x\), and as \(x\) approaches negative infinity is \(-x\).
As x approaches positive or negative infinity, the quadratic term \(x^2\) in the denominator becomes dominant. Therefore, the best monomial expression to estimate the behavior of \(x^2+4x+14\) as \(x\) approaches infinity is \(x^2\), and as \(x\) approaches negative infinity is \(x^2\).
Using the results from parts (a) and (b), we can write the ratio of monomial expressions that best estimates the behavior of \(f(x)\) as \(x\) approaches infinity as \(\frac{x}{x^2}\), which simplifies to \(\frac{1}{x}\). Similarly, as x approaches negative infinity, the ratio of monomial expressions is \(-\frac{x}{x^2}\), which simplifies to \(-\frac{1}{x}\).

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Answer:

0

Step-by-step explanation:

Dont take my word for it but I think it should be 0      

Answer:

B

Step-by-step explanation:

Given the line of best fit

y = - 9.21x + 168.7

Substitute the weight of the pumpkin , that is x = 5, into the equation.

y = - 9.21(5) + 168.7

   = - 46.05 + 168.7

   = 122.65 ≈ 123 feet ( to the nearest foot )

Answer:

123 feet

Step-by-step explanation:

A) Function is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).

b)  The local minimum value of f is; 5608/2197 at x = -42/13, and the local maximum value of f is 139/8 at x = 7/2.

(a) To determine the intervals on which f is increasing or decreasing, we need to determine the critical points and then check the sign of the derivative on the intervals between them.

f(x)=8x³-42x-48x + 4

f'(x) = 24x² - 90

Setting f'(x) = 0, we get

24x² - 90 = 0

24x² = 90

x =±  √3.75

So, the critical points are;

x = -1 and x = 7/2.

We can test the sign of f'(x) on the intervals as; (-∞, -1), (-1, 7/2), and (7/2, ∞).

f'(-2) = 72 > 0, so f is increasing on (-∞, -1).

f'(-1/2) = -25 < 0, so f is decreasing on (-1, 7/2).

f'(4) = 72 > 0, so f is increasing on (7/2, ∞).

Therefore, f is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).

(b) To determine the local maximum and minimum values of f, we need to look at the critical points and the endpoints of the interval (-1, 7/2).

f(-1) = -49

f(7/2) = 139/8

f(-42/13) = 5608/2197

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The volume of the rectangular prism is approximately 0.2996 cubic meters.

Six rectangular faces that are congruent and parallel to one another make up the three-dimensional solid known as a rectangular prism. A rectangular cuboid is another name for it.

By multiplying the prism's length, width, and height, one may get the volume of a rectangular prism, which is the volume of the interior space of the prism.

Given that, area of the square base is 7 1/2 sq. m.

The side of the square base is thus,

√(7 1/2) ≈ 2.7386 m

The volume of the rectangular prism is given as:

Volume = length x width x height

Volume ≈ 2.7386 x 2.7386 x 1/5 m

Volume ≈ 0.2996 cubic meters.

Hence, the volume of the rectangular prism is approximately 0.2996 cubic meters.

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Answer:

0.9 of an inch

Step-by-step explanation:

Answer:

His beard will be 0.9 inches long after 12 weeks.

Step-by-step explanation:

0.075 x 12 = 0.9

Answer:

There are 2 solutions to square root x = 9

They are 3, and -3

Step-by-step explanation:

The square root of x=9 has 2 solutions,

The square root means, for a given number, (in our case 9) what number times itself equals the given number,

Or, squaring (i.e multiplying with itself) what number would give the given number,

so, we have to find the solutions to \(\sqrt{9}\)

since we know that,

\((3)(3) = 9\\and,\\(-3)(-3) = 9\)

hence if we square either 3 or -3, we get 9

Hence the solutions are 3, and -3

If a milk truck delivers 459 dozen gallons of milk to stores in 1 day. the equation to show the quantity of milk delivered in one day is

and the amount of milk delivered in one day is

The information necessary to find the quantity of milk delivered in one day is that 1 dozen is equal to 12 pieces

The total number of gallons of milk delivered

the equation is 459x

where x represents number in a dozen

amount delivered

= 12 * 459

= 5508 gallons of milks

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Answer:

both ratios  together is  21618750 is 363125

18,750 = A

216= B

18,750 : 216 =  3125 : 36

Step-by-step explanation:

hope that helps>3

Answer: The answer is 25/33

Step-by-step explanation:

To solve the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0, we can use algebraic methods and the unit circle to determine the values of x that satisfy the equation.

1. Start by rearranging the equation to a quadratic form: \(6sin^2(x)\) + 6sin(x) + 1 = 0.

2. Notice that the equation resembles a quadratic equation in terms of sin(x). Let's substitute sin(x) with a variable, such as u: \(6u^2\) + 6u + 1 = 0.

3. Solve this quadratic equation for u. You can use the quadratic formula or factorization methods to find the values of u. The solutions are u = (-3 ± √3) / 6.

4. Since sin(x) = u, substitute back the values of u into sin(x) to obtain the values for sin(x): sin(x) = (-3 ± √3) / 6.

5. To find the values of x, we can use the inverse sine function. Take the inverse sine of both sides: x = arcsin[(-3 ± √3) / 6].

6. The arcsin function has a range of [-π/2, π/2], so the values of x lie within that range. Use a calculator to find the approximate values of x based on the values obtained in step 5.

7. Plot the obtained x-values on the graph to show the solutions of the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0. The graph will illustrate the points where the curve intersects the x-axis.

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Answer:

1)            3x^2  +  11x^3  +  4x^2  +  8x  -  8

                             X^2     3X       -2  

  Box (1):  3x^2    3x^4    Px^3    -6x^2

  Box (2):  2x       2x^3    6x^2    -4x

  Box (3):   4         4x^2    12x       -8

2)                  2x^2  +  7x  -  15

                            2x       -3      

     Box (1):     x      2x^2    -3x

     Box (2):    5     10x      -15

     2x^2  -  3x  +   10x  -  15

Step-by-step explanation:

Box Method: Solved

Hope it helps!

Answer:

its 3.

Step-by-step explanation:

plz mark brainliest :) :))))))))))))

a. The return on investment is $700.

b. The payment should be $20.

c. The total value is $10,680.

a.

Since the return on investment is 7%

And, the invested amount is $10,000

So, the return on investment should be

= 7% of $10,000

= $700

b. Since the expense ratio is 0.2%

So, here the payment be like

= 0.2% of $10,000

= $20

c. The total value should be

= $10000-$20 +$700

= $10680

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The values of the variables and numbers in radical form are presented as follows;

43a) x > -5

40a) a > 0

44b) x < 0

47e) x > 0

43b) x = The set of all real numbers

44a) The set of all numbers

45 a) x = 14

45 b) x = 0

45 c) x = -1

45 d) x = -4

45 e) x = 1

42 d)x = 5/196

9 e) x = 4

9 f) x = 8

9 a) √(0.6/36) ≈ 0.13

9 h) √((4 - 10)/(0.01)) = i·10·√6

A radical also known as a root is represented using the square root or nth root symbol and is the opposite of an exponent.

43 a) \(\sqrt{x + 5}\)

x + 5 > 0

Therefore, x > -5

40a) ∛a

a > 0

44b) √(-5·x)³

-5·x < 0

x < 0

47e) √(13 - (13 - 2·x))

(13 - (13 - 2·x)) > 0

13 > (13 - 2·x)

0 > -2·x

x > 0

43b) √|x| + 1

x = All real numbers

44 a) √(-2·x)²

√(-2·x)² = -2·x

x = Set of all numbers

45 a) √(x - 5) = 3

(x - 5) = 3² = 9

x = 9 + 5 = 14

45b) √(2·x + 4) = 2

2·x + 4 = 2²

2·x = 2² - 4 = 0

x = 0/2 = 0

45c) √(x·(x + 1)) = 0

(x·(x + 1)) = 0

(x + 1) = 0

x = -1

45 d) √(x + 5) = -1

(x + 5) = (-1)²

x + 5 = 1

x + 5 = 1

x = 1 - 5 = -4

x = -4

45e) √x + x² = 0

√x = -x²

(√x)² = (-x²)² = x⁴

x  = x⁴

1 = x⁴ ÷ x = x³

x = ∛1 = 1

x = 1

42d) \(\sqrt{\dfrac{5}{x} } +3= 17\)

\(\sqrt{\dfrac{5}{x} }= 17-3 =14\)

\(\dfrac{5}{x} }=14^2=196\)

\(x = \dfrac{5}{196}\)

9e) \(\sqrt{\dfrac{4}{x} } = 1\)

\(\dfrac{4}{x} } = 1^2\)

x × 1² = 4

x = 4

19f) ∛x - 2 = 0

∛x = 2

x = 2³ = 8

9a) \(\sqrt{\dfrac{0.6}{36} }\)

\(\sqrt{\dfrac{0.6}{36} }\) = \(\sqrt{\dfrac{1}{60} }= \dfrac{\sqrt{15}}{30} \approx 0.13\)

9h) \(\sqrt{\dfrac{4-10}{0.01} }\)

\(\sqrt{\dfrac{4-10}{0.01} }\)= √(-600) = √(-1)·√(600) = i·10·√6

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The value of 2 divided by 3 is 0.67

From the question, we have the following parameters that can be used in our computation:

2 divided by 3

To start with, we need to represent the expression properly as a quotient

So, we have the following representation

2 divided by 3 = 2/3

Evaluate the quotient expression using a calculator

This gives

2 divided by 3 = 0.67

Hence, the solution to 2 divided by 3 is 0.67

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Answer:

\(9\times 10^7\ \text{grains of sand}\)

Step-by-step explanation:

Given that,

A bricklayer needs to order 6300kg of building sand.

1 grain of this sand weighs \(7\times 10^{-5}\ kg\).

We need to find how many grains of sand are there in 6300 kg.

It can be just calculated as follows :

1 grain of sand =  \(7\times 10^{-5}\ kg\)

\(6300\ kg=\dfrac{6300}{7\times 10^{-5}}\\\\=9\times 10^7\ \text{grains of sand}\)

or

= 90000000  grans of sand

So, 6300 kg is equal to \(9\times 10^7\ \text{grains of sand}\).

Answer:

what models

Step-by-step explanation:

Answer:

below

Step-by-step explanation:

consecutive angles are supplementary in parallelogram

q+t = 180

3x+5+9x-17 = 180

12x-12 = 180

x-1 = 15

x=16

r=t = 127°

q=s = 53°

Answer:

Angle R is 127 degrees and Angle S is 53 degrees

Step-by-step explanation:

We know that adjacent angles in a parallelogram are supplementary, meaning that they add up to 180 degrees.

With this, we can create an equation to solve for x with the values given for Q and T

Q+T = 180

(3x+5)+(9x-17) = 180

12x -12 = 180

12x = 192

x = 16

Now we can find the angles of Q and T given the value of x

Q = (3x+5)

Q = (3*16+5)

Q = 53 degrees

T = (9x-17)

T = (9*16-17)

T = 127 degrees

Since opposite angles in a parallelogram are congruent,

angle S = angle Q and angle R = angle T

Answer:

8?

Step-by-step explanation:

Do you mean \(\sqrt{64}\)? If so, when simplified it becomes 8.

Answer:

d = 8

Step-by-step explanation:

Given

8 + 4d = 5d ( subtract 4d from both sides )

8 = d

Answer:

d=8

Step-by-step explanation:

8+4d=5d

1. subtract 8 from both sides > 8+4d-8=5d-8

2. simplify > 4d=5d-8

3. subtract 5d from both sides > 4d-5d=5d-8-5d

4. simplify again > -d = -8

5. divide both sides by -1 > -d/-1 = -8/-1

6. simplify again > d=8

Answer:

see explanation

Step-by-step explanation:

If the ratios of the 3 pairs of corresponding sides of the 2 triangles are equal , then the triangles are similar (SSS postulate )

the3 ratios of the 2 triangles , left to right are all equal to

\(\frac{3}{4}\)

Then the triangles are similar by the SSS postulate

the corresponding angles of similar triangles are congruent, then

∠ c = 60°

Also both triangles have 3 congruent sides and are therefore equilateral triangles with all angles equal to 60°, so

c = 60°

When teaching the client how to use sublingual nitroglycerin (SL NTG) for relief of chest pain at home, the following statements should be included to ensure proper usage and safety.

When instructing the client on the use of sublingual nitroglycerin (SL NTG) for chest pain relief at home, it is essential to cover the following key points:

1. Purpose and indication: Explain that SL NTG is used to relieve angina or chest pain caused by coronary artery disease. Emphasize that it is not meant for prevention but for immediate relief during an episode of chest pain.

2. Proper administration technique: Instruct the client to place the tablet or spray under the tongue and allow it to dissolve or spray it onto or under the tongue. Advise against swallowing or chewing the medication.

3. Dosage and frequency: Specify the appropriate dosage and how frequently the medication can be taken, as prescribed by their healthcare provider. Highlight the importance of following the prescribed dosage and not exceeding the recommended frequency.

4. Response time: Explain that SL NTG acts quickly and should provide relief within a few minutes. Inform the client to seek emergency medical assistance if the chest pain persists or worsens after taking one dose of SL NTG.

5. Storage and expiration: Educate the client on proper storage conditions, such as keeping the medication in its original container, away from light and moisture. Emphasize the importance of regularly checking the expiration date and replacing the medication when it expires.

6. Side effects and precautions: Discuss potential side effects such as headaches, dizziness, and low blood pressure, and advise the client to report any concerning or persistent side effects to their healthcare provider. Stress the importance of informing healthcare providers about the use of SL NTG before undergoing any medical procedures or taking other medications.

7. Emergency instructions: Instruct the client to call emergency services immediately if they experience severe chest pain or if their symptoms do not improve after taking SL NTG.

By providing clear instructions and addressing these important points, the client can effectively and safely use sublingual nitroglycerin for chest pain relief at home. However, it is crucial to consult with a healthcare professional for personalized guidance and to ensure proper usage based on the client's specific medical condition and needs.

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Answer:

I=$48

t=2 years

r=8%

Principal=(I×100)/(t×r)

($48×100)/(2×8)

$4800/16

$300

Draw a flower

Draw a cupcake

Draw a butterfly

Draw a tree

Draw a cartoon character

Draw a heart

Draw a cat

Draw a sun

Draw a bird

Draw a landscape

Draw a cloud

Draw a house

Draw a star

Draw a fish

Draw a snowman

Draw a rainbow

Draw a car

Draw a dog

Draw a person

Draw a fruit

Remember, practice makes perfect! So, keep practicing and exploring your creativity.

Answer: sm1 took my answer down but yes draw a cartoon character or something similar to an old school drawing try giving the character a new look something u never drawn before

Step-by-step explanation: