trigonometric area formula: area = the area of triangle efg is 34.8 square units. what is the perimeter of triangle efg to the nearest unit? 29 units 30 units 41 units 60 units

The fractions to show the value of each 9 in the decima 0.999 are 9/10, 9/100, 9/1000.

To write the fraction that shows the value of each 9 in the decimal 0.999, we can use the following method

The digit 9 in the tenths place represents 9/10 or 0.9.

The digit 9 in the hundredths place represents 9/100 or 0.09.

The digit 9 in the thousandths place represents 9/1000 or 0.009.

Thus, the fractions are

0.9 = 9/10

0.09 = 9/100

0.009 = 9/1000

The value of the 9 on the left is related to the value of the 9 in the middle by a factor of 10.

The value of the 9 on the right is related to the value of the 9 in the middle by a factor of 10, so the 9 on the right is one-tenth the value of the 9 in the middle.

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First is to express all values the same way. For example, convert the fraction and percentage into decimal numbers:

60% → divide it by 100 and you get 0.6

7/11=0.63

Now you can order them

0.6<0.63<0.7

Using the original expressions you get that:

60%<7/11<0.7

Answer:

A ≈ 8.6 ft²

Step-by-step explanation:

the area (A) of the triangle is calculated as

A = \(\frac{1}{2}\) × 7 × 3 × sin55°

  = \(\frac{1}{2}\) × 21 × sin55°

  = 10.5 × sin55°

  ≈ 8.6 ft²( to 1 dec. place )

Answer:

Comprobar explicación

Check Explanation

Step-by-step explanation:

Los números negativos son números menores que 0. Son muy importantes en la naturaleza y en cualquier trato con los números. Por lo general, se escriben con un signo menos delante de ellos.

Las situaciones en las que el uso de números negativos son absolutamente necesarios incluyen

1) En los negocios, los números negativos se utilizan para indicar la deuda y la salida de efectivo.

2) En los circuitos eléctricos, se usan números negativos para describir el voltaje nominal cuando se invierten las polaridades de la batería.

3) En mediciones de temperatura para indicar temperaturas inferiores al punto de congelación del agua, especialmente en la escala Celsius (0°C).

4) Para indicar profundidades debajo del nivel del mar. El nivel del mar generalmente se designa como nivel 0 en términos de elevación.

5) En la numeración de los pisos debajo de la planta baja para un edificio alto.

6) En el análisis económico general, se utilizan para indicar una disminución de la economía, el PIB del país o un déficit en el presupuesto.

- En el análisis matemático general, los cálculos y las manipulaciones, los números negativos se usan ampliamente y son muy importantes.

- En química, los números negativos se utilizan para indicar la carga en los aniones (iones negativos).

¡¡¡Espero que esto ayude!!!

English Translation

6 situations in which the use of negative numbers is necessary.

Solution

Negative numbers are numbers that are lesser than 0. They are very important in nature and in any dealings with numbers. They are usually written with a minus sign in front of them.

The situations in which the use of negative numbers are absolutely necessary include

1) In business, negative numbers are used to indicate debt and outflow of cash.

2) In electrical circuits, negative numbers are used to describe the rated voltage when the polarities of the battery are reversed.

3) In temperature measurements to indicate temperatures lesser than the freezing point of water especially on the Celsius scale (0°C).

4)To indicate depths below the sea level. The sea level is usually designated to be 0 level in terms of elevation.

5) In the numbering of the floors below the ground floor for a tall building.

6) In general economic analysis, they are used to indicate a decline in the economy, country's GDP or deficit in budget.

- In general mathematical analysis, calculations and manipulations, negative numbers are used very extensively and are very important.

- In chemistry, negative numbers are used to indicate the charge on anions (negative ions).

Hope this Helps!!!

In a case whereby the sum of two consecutive numbers is 25 the largest of the consecutive numbers is 13.

Given that sum of two consecutive numbers is 25 , ans we were required to locatye the  largest of the consecutive numbers. The we can represent the consecutive numbers as x and x+1. According to the problem, the sum of these two consecutive numbers is 25:

x + (x+1) = 25

Simplifying the left side of the equation:

2x + 1 = 25

2x = 24

Dividing both sides by 2:

x = 12

So the first consecutive number is 12. The second consecutive number is 12 + 1 = 13. Therefore, the largest of the consecutive numbers is 13.

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The expression for the number of boy cousins will be f – 4.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Marcella has 4 fewer male cousins than female cousins.

Let f represent the number of female cousins.

Then the expression for the number of boy cousins will be

⇒ f – 4

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The amount of fencing he needs for this project is 247 feet.

Data;

To find the length of the fence required, we need to find the perimeter of the figure and note that this is excluding the perimeter of the house.

The perimeter of the figure is

\(P = 2(14+6) + 17 = 57in\)

The perimeter of the figure is 57in.

But we were told that every 3 in represents 13 feet.

\(3in = 13ft\\57in = x\\x = \frac{57 * 13}{3} \\x = 247ft\)

The amount of fencing he needs for this project is 247 feet.

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Part A: annual gross salary =  $51,200. Part B:  income tax= $46,080

Part C: annual income, after tax reduction =  $46,080.

Part D: fortnightly net income  $126.24 per day.

Before taxes, benefits, and other wage garnishments are taken out of an employee's paycheck, that amount is known as their gross pay. Net pay, often known as take-home pay, is the amount that is left after all withholdings have been taken into account.

Given data:

Earning from shop clerk - $50,000 per year.

Earning from gardening - $1,200 per year.

Part A: annual gross salary.

annual gross salary =  $50,000 +  $1,200

annual gross salary =  $51,200

Part B:  income tax.

income tax = 10% of gross income

income tax = 0.10 * 51,200

income tax = $5,120

Part C: annual income, after tax reduction:

Net income = Gross income - tax

Net income = 51,200 - 5,120

Net income = $46,080

Part D: fortnightly net income:

fortnightly net income = Total net income / 365 days

fortnightly net income = $46,080 / 365

fortnightly net income = $126.24 per day.

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Complete question:

Carlos earns $50 000 each year as a shop clerk and an extra $1200 each year for gardening on the weekend. Tax applied is 10% on gross income.

A, calculate his annual gross salary

B, use his gross salary to find his income tax

C, what is his annual income, after tax

D what is his fortnightly net income, to the nearest cent after tax?

Answer:

y=-4

I think it helps you

Step-by-step explanation:

\(\tt{-y+6y-16y+15y=-16 }\)

\(\tt{ 21y-17y=-16 }\)

\(\tt{4y=-16 }\)

\(\tt{ y=\dfrac{-16}{4} }\)

\(\bold{ y=-4 }\)

The expected value in a binomial situation with n = 18 and π = 0.60 is E(X) = np = 18 * 0.60 = 10.8.

In a binomial situation, the expected value, denoted as E(X), represents the average or mean outcome of a random variable X. It is calculated by multiplying the number of trials, denoted as n, by the probability of success for each trial, denoted as π.

In this case, we are given n = 18 and π = 0.60. To find the expected value, we multiply the number of trials, 18, by the probability of success, 0.60.

n = 18 (number of trials)

π = 0.60 (probability of success for each trial)

To find the expected value:

E(X) = np

Substitute the given values:

E(X) = 18 * 0.60

Calculate the expected value:

E(X) = 10.8

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a. The g(x) is concave up for x > 0. The g(x) is concave down for x < 0.

b. The inflection point of g(x) = 2x^3 + 1 is at x = 0.

To determine where the function g(x) = 2x^3 + 1 is concave up or concave down, we need to analyze the second derivative of the function. The concavity of a function changes at points where the second derivative changes sign.

a) First, let's find the second derivative of g(x):

g'(x) = 6x^2 (derivative of 2x^3)

g''(x) = 12x (derivative of 6x^2)

To find where g(x) is concave up, we need to determine the intervals where g''(x) > 0.

g''(x) > 0 when 12x > 0

This holds true when x > 0.

So, g(x) is concave up for x > 0.

To find where g(x) is concave down, we need to determine the intervals where g''(x) < 0.

g''(x) < 0 when 12x < 0

This holds true when x < 0.

So, g(x) is concave down for x < 0.

b) To find the inflection points of g(x), we need to look for the points where the concavity changes. These occur when g''(x) changes sign or when g''(x) is equal to zero.

Setting g''(x) = 0 and solving for x:

12x = 0

x = 0

So, x = 0 is a potential inflection point.

To confirm if x = 0 is indeed an inflection point, we can analyze the concavity on either side of x = 0:

For x < 0, g''(x) < 0, indicating concave down.

For x > 0, g''(x) > 0, indicating concave up.

Since the concavity changes at x = 0, it is indeed an inflection point.

Therefore, the inflection point of g(x) = 2x^3 + 1 is at x = 0.

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The area of the triangle is mathematically given as

A=20.8cm

This is further explained below.

The region that is surrounded by the perimeter of the triangle, also known as the three sides of the triangle, is referred to as the area of the triangle.

The space that is encompassed by all three of a triangle's sides is referred to as the triangle's area.

It is computed with the assistance of a variety of formulae that differ according to the kind of triangle, and the results are represented in square units such as centimeters squared, inches squared, and so on.

Generally, the equation for Area the is mathematically given as

A = 1/2 * base * height

Therefore

A= 1/2 * 8 * 5.2

A=20.8cm

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Answer:

-2r-7<3

Step-by-step explanation:

Answer:

A. 9y + 3 = 0

Step-by-step explanation:

To know if a function is linear without graphing it, check if the function is a polynomial of the first degree, because linear functions are polynomials of the first degree. This means that the power of the x-value should be equal to 1.

The only function without this trait is 9y + 3 = 0, so that is our nonlinear function.

hope this helps :)

Answer:

A typical deck has 12 face cards (4 kings, 4 queens, and 4 jacks) and 4 sevens. The odds of drawing and replacing a face card are 12/52, or 3/13. The odds of drawing a seven are 4/52 or 1/13.

We may multiply the probabilities to obtain the likelihood of both occurrences occurring:

(3/13) x (1/13) = 3/169

As a result, the chance of getting a face card, replacing it, and then drawing a seven is 3/169.

Answer:The derivative of cos(x) is -sin(x). The derivative of sin(x) is cos(x)

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

the function increases by 2, so when you go backwards, the values will decrease by two hence, -3

Answer:

The tank decreased from 10cm to 7 cm so the tank had lost its 3cm of the water. 3cm was the 30% of lost from water. So there was a 30% decrease from water tank.

To test the claim that the mean weight of tortilla chip bags from Factory A is the same as the mean weight from Factory B, we can conduct a two-sample t-test.

The null hypothesis, denoted as H0, assumes that the means are equal: μA = μB. The alternative hypothesis, denoted as Ha, assumes that the means are not equal: μA ≠ μB.

We calculate the test statistic, which follows a t-distribution under the null hypothesis, using the formula:

t = (xA - xB) / sqrt((sA^2 / nA) + (sB^2 / nB))

where xA and xB are the sample means, sA and sB are the sample standard deviations, and nA and nB are the sample sizes.

Plugging in the values:

t = (11.09 - 11.03) / sqrt((0.04^2 / 120) + (0.09^2 / 90))

Calculating this expression, we find the value of t. We then compare this value to the critical value of the t-distribution at a significance level of 0.05, with degrees of freedom equal to (nA - 1) + (nB - 1).

If the calculated t-value falls outside the critical region, we reject the null hypothesis and conclude that there is evidence to support the claim that the mean weight of tortilla chip bags from Factory A is different from the mean weight of bags from Factory B. Otherwise, if the calculated t-value falls within the critical region, we fail to reject the null hypothesis, indicating that there is not enough evidence to support the claim of a difference in means.

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Answer:

7680000

Step-by-step explanation:

I used my calculator.

Answer:

7,680,000

Step-by-step explanation:

I did the math for you :-)

Step-by-step explanation:

Let x = 0.3333333...

Then 10x = 3.3333333....

We have 9x = 3, so x = 3/9 or 1/3.

When you are skiing on a mountain with an altitude 12 meters and angle of depression is 21 degrees then you will ski down for a distance of 31.57 meters.

Solution:

Here we have ,

Height i.e altitude of mountain (h) = 12 meters

Angle of depression (∅) =21°

And let the distance coverd be (b)

Using theorm of trigonometery,

tan∅ = \(\frac{height}{base}\)

       = \(\frac{12}{b}\)

Therefore,

tan(21°) = \(\frac{12}{b}\)

b = \(\frac{12}{tan(21)}\)

b = \(\frac{12}{0.38}\)

b = 31.57 meters

Hence ,

You will ski down 31.57 meters.

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The angle x in the diagram is 98 degrees.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angle, alternate exterior angles, vertically opposite angles, same side interior angles etc.

Therefore, let's find the angle of x using the angle relationships as follows:

The size of the angle x can be found as follows:

82 + x = 180(same side interior angles)

Same side interior angles are supplementary.

Hence,

82 + x = 180

x = 180 - 82

x = 98 degrees

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To verify that the identity function, Id: V → V, has the stated limit at a, we need to show that for any x in V, the limit of Id(x) as x approaches a is equal to a.To verify that the constant function, c: V → W, has the stated limit at c, we need to show that for any x in V, the limit of c(x) as x approaches c is equal to c.

(i)To verify that the identity function, Id: V → V, has the stated limit at a, we need to show that for any x in V, the limit of Id(x) as x approaches a is equal to a.

Given any x in V, we have:

limx→a Id(x) = limx→a x = a

Since the limit of x as x approaches a is a, we have:

limx→a Id(x) = a

Therefore, the identity function has the stated limit at a.

(ii) To verify that the constant function, c: V → W, has the stated limit at c, we need to show that for any x in V, the limit of c(x) as x approaches c is equal to c.

Given any x in V, we have:

limx→c c(x) = limx→c c

Since the limit of c as x approaches c is c, we have:

limx→c c(x) = c

Therefore, the constant function has the stated limit at c.

For the identity function, the limit at a is always a, regardless of the value of x.

For the constant function, the limit at c is always c, regardless of the value of x.

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Answer:

y=2x+7

y=4x+7

y=5x

Step-by-step explanation:

substitute the numbers for the variables in the form y=mx+b

Answer:

i think it would be 05

if you mean 4^5 than the exponent if definitely 05

Hope this helped!

Step-by-step explanation:

The probability of randomly selecting a red six or a black king from a 52-card deck is 1/13.

To find the probability of selecting a red six or a black king from a 52-card deck, we need to determine the number of favorable outcomes (red six or black king) and divide it by the total number of possible outcomes (52 cards).

There are 2 red sixes (hearts and diamonds) and 2 black kings (spades and clubs) in a deck.

Since we want to select either a red six or a black king, we can add these numbers together to get a total of 4 favorable outcomes.

Since there are 52 cards in a deck, the total number of possible outcomes is 52.

Now, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes: Probability = Number of favorable outcomes / Total number of possible outcomes Probability = 4 / 52 Probability = 1 / 13

Therefore, the probability of randomly selecting a red six or a black king from a 52-card deck is 1/13.

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Answer: (-1/3, 3/5)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(−1/3,3/5)

Equation Form:

x=−1/3, y=3/5