Make t the subject of this formula.
r = 7 (t + 3)

Answer:

c = 28.26 cm

Step-by-step explanation:

equation for circumference of a circle is 2πr

r = d/2 so here r = 9/2 = 4.5

2 x 3.14 x 4.5 = 28.26

Answer:

C ≈ 28.26 cm

Step-by-step explanation:

The circumference (C) is calculated as

C = πd ( d is the diameter ) , then

C = π × 9 ≈ 3.14 × 9 = 28.26 cm ( to the nearest hundredth )

Using domain concepts, it is found that the two most known functions that do not have a domain of all real numbers are fractions and even roots.

---------------------

---------------------

A similar problem is given at https://brainly.com/question/13136492

the answer is "Using the trigonometric identity

sin²x + cos²x = 1 , then sin²x = 1 - cos²x

Consider the left side

sin²a - sin²b

= (1 - cos²a) - (1 - cos²b)

= 1 - cos²a - 1 + cos²b

= cos²b - cos²a

= right side , thus verified"

The SP of 40 fruits is Rs 690.

Given,

Due to bad weather, a fruit seller had to sell his fruits at a loss of 8%.

He bought the fruits for Rs 225 a dozen.

We have to find the SP of 40​.

We have,

A dozen of fruits = Rs 225

12 fruits = Rs 225

Divide both sides by 12

1 fruit = Rs 225 / 12

1 fruit = Rs 18.75

He sold each fruit at a loss of 8%.

8% of Rs 18.75

= 8/100 x 18.75

= Rs 1.5

So,

The selling price of 1 fruit:

= 18.75 - 1.5

= Rs 17.25

The selling price of 40 fruits:

40 x Rs 17.25

= 690

Thus the SP of 40 fruits is Rs 690.

Learn more about the Selling price here:

https://brainly.com/question/28017453

#SPJ1

Answer:

A = (11 m)(4.33 m) = 47.6 m^2

Step-by-step explanation:

The width of this parallelogram is (5 m)(sin 60 degrees), or approximately 4.33.  This is the length of the dashed line shown.

The area of this parallelogram is A = (length)(width), which here is:

A = (11 m)(4.33 m) = 47.6 m^2

Answer:

55

Step-by-step explanation:

i think

\( \tt cotA = \sqrt{ \dfrac{1}{3}}\)

\( \tt \implies cotA = \dfrac{1}{\sqrt{3}}\)

All other trigonometric ratios, which are :

Let's make a diagram of right angled triangle ABC.

Now, From point A,

AC = Hypotenuse

BC = Perpendicular

AB = Base

\( \tt We \: are \: given, \: cotA = \dfrac{1}{\sqrt{3}}\)

\( \tt We \: know \: that \: cot \theta = \dfrac{base}{perpendicular}\)

\( \tt \implies \dfrac{base}{perpendicular} = \dfrac{1}{\sqrt{3}}\)

\( \tt \implies \dfrac{AB}{BC} = \dfrac{1}{\sqrt{3}}\)

\( \tt \implies AB = 1x \: ; \: BC = \sqrt{3}x \: (x \: is \: positive)\)

Now, by Pythagoras' theorem, we have

AC² = AB² + BC²

\( \tt \implies AC^{2} = (1x)^{2} + (\sqrt{3}x)^{2}\)

\( \tt \implies AC^{2} = 1x^{2} + 3x^{2}\)

\( \tt \implies AC^{2} = 4x^{2}\)

\( \tt \implies AC = \sqrt{4x^{2}}\)

\( \tt \implies AC = 2x\)

Now,

\( \tt sin \theta = \dfrac{perpendicular}{hypotenuse}\)

\( \tt \implies sinA = \dfrac{BC}{AC} \)

\( \tt \implies sinA = \dfrac{\sqrt{3}x}{2x} \)

\( \tt \implies sinA = \dfrac{\sqrt{3}}{2} \)

\( \Large \boxed{\tt sinA = \dfrac{\sqrt{3}}{2}} \)

\( \tt cos \theta = \dfrac{base}{hypotenuse}\)

\( \tt \implies cosA = \dfrac{AB}{AC} \)

\( \tt \implies cosA = \dfrac{1x}{2x} \)

\( \tt \implies cosA = \dfrac{1}{2} \)

\( \Large \boxed{\tt cosA = \dfrac{1}{2}} \)

\( \tt tan \theta = \dfrac{perpendicular}{base}\)

\( \tt \implies tanA = \dfrac{BC}{AB} \)

\( \tt \implies tanA = \dfrac{\sqrt{3}x}{1x} \)

\( \tt \implies tanA = \sqrt{3}\)

\( \Large \boxed{\tt tanA = \sqrt{3}}\)

\( \tt cosec \theta = \dfrac{hypotenuse}{perpendicular}\)

\( \tt \implies cosecA = \dfrac{AC}{BC} \)

\( \tt \implies cosecA = \dfrac{2x}{\sqrt{3}x} \)

\( \tt \implies cosecA = \dfrac{2}{\sqrt{3}}\)

\( \Large \boxed{\tt cosecA = \dfrac{2}{\sqrt{3}}}\)

\( \tt sec \theta = \dfrac{hypotenuse}{base}\)

\( \tt \implies secA = \dfrac{AC}{AB} \)

\( \tt \implies secA = \dfrac{2x}{1x} \)

\( \tt \implies secA = 2\)

\( \Large \boxed{\tt secA = 2}\)

\(\setlength{\unitlength}{2mm}\begin{picture}(0,0)\thicklines\put(0,0){\line(3,0){2.5cm}}\put(0,0){\line(0,3){2.5cm}}\qbezier(12.4,0)(6.6,5)(0,12.4)\put(-2,13){\sf A}\put(13,-2){\sf C}\put(-2,-2){\sf B}\put(-3,6){\sf 1}\put(6,-3){\sf \sqrt3$}\put(7,7){\sf 2}\end{picture}\)

Given ,

We need to find ,

First finding the other side of the triangle using Pythagoras theorem .

Hypotenuse² = Base² + Height²

\(\to\sf Hypotenuse^2 = (1)^2 + (\sqrt3)^2\)

\(\to\sf Hypotenuse^2 = 1 + 3 \)

\(\to \sf Hypotenuse = \sqrt4\)

\(\to\bf Hypotenuse = 2\)

Now ,

Answer: 1. Slope equals 3/4 or 0.75,  2. Slope equals -5/2 or -2.5

Step-by-step explanation:

1. Subtract y coordinates 4 and -2 to get 6. Then subtract x coordinates 4 and -4 to get 8, so that is equal to 6/8. Then simplify to get 3/4 or 0.75

2. Subtract y coordinates 10 and -5 to get -15. Then subtract x coordinates 0 and -6 to get 6, so that is equal to-15/6. Then simplify to get -5/2 or -2.5.

THE ANSWER IS -10P.

Step-by-step explanation:

USING BY MULTIPLICATION RULE.

minus × plus = minus

then minus × minus = plus.

so we add the 4p+6p= -10p.

why -10p is come it means THE BIGGER NUMBER SIGN IS MINUS. So it's comes -10p.

HOPE IT HELP......

\(\huge\text{Hey there!}\)

\(\mathsf{-4p + (-6p)}\\\\\mathsf{= -4p - 6p}\\\\\large\text{COMBINE the LIKE TERMS:}\\\\\mathsf{= (-4p - 6p)}\\\\\mathsf{= -4p - 6p}\\\\\mathsf{-10p}\\\\\\\huge\textbf{Therefore, your answer should be:}\\\huge\boxed{\mathsf{-10p}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

Fractional Expression for how much each person pays = (64.04/4)

Each person pays $16.01.

Step-by-step explanation:

Complete Question

Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division.

The total of the bill is $64.04 and there are 4 people splitting the bill.

Solution

Total amount to be shared equally by 4 persons = $64.04

Fractional Expression for how much each person pays = (64.04/4)

Long division method to do this division.

     16.01  

4 | 64.04

      4  

    24

    24

      00

    0

    04

      4

    0

Each person pays $16.01.

Hope this Helps!!!

the volume of the solid obtained by rotating the region bounded by f(x)=5cos(πx), the x-axis, the y-axis, and the line x=12 around the y-axis.  we can use the method of cylindrical shells is \(V = ∫[0,5] ∫[0,(1/π)cos^(-1)(y/5)] 2πx dx dy\).

To find the volume of the solid obtained by rotating the region bounded by the function f(x) = 5cos(πx), the x-axis, the y-axis, and the line x = 12 around the y-axis, we can use the method of cylindrical shells.

The region bounded by the given curves and lines is a curve that oscillates between the x-axis and a maximum height of 5. We want to rotate this region around the y-axis to form a solid.

Consider an infinitesimally thin strip or shell with height Δy and width Δx. The radius of this shell is x, and its volume can be approximated as the product of its height, width, and circumference:

ΔV ≈ 2πxΔxΔy.

To find the volume of the entire solid, we need to sum up the volumes of all these cylindrical shells. We integrate this expression with respect to y over the range of y-values for which the region exists.

The region exists for 0 ≤ y ≤ 5, and at any given height y, x varies between 0 and a corresponding x-value on the curve f(x). Since f(x) = 5cos(πx), we have:

\(x = (1/π)cos^(-1)(y/5).\)

Integrating ΔV = 2πxΔxΔy over this range and simplifying, we get:

\(V = ∫[0,5] ∫[0,(1/π)cos^(-1)(y/5)] 2πx dx dy.\)

Evaluating this double integral will give us the volume of the solid. The integral can be solved using standard integration techniques or numerical methods.

Note: The explanation provided is a general outline of the method of cylindrical shells and how it applies to this specific problem. Actual calculation and evaluation of the integral require detailed steps and calculations beyond the scope of this response.

To learn more about  volume click here:

https://brainly.com/question/27710307#

#SPJ11

Answer:

The correct option is;

C) Translation 8 units to the right

Step-by-step explanation:

The function h(x) = 12·x⁸ + 49 is an even function

However a translation 8 units to the right would yield the following function;

h(x) = 12 × (x+ 8)⁸ + 49 = 12x⁸ + 768x⁷ + 21504x⁶ + 344064x⁵ + 3440640x⁴ + 22020096x³ + 88080384x² + 201326592x + 201326641

For h(1) = 516560701

Also h(-x) = 12 × (-x+ 8)⁸ + 49 = 12x⁸ - 768x⁷ + 21504x⁶ - 344064x⁵ + 3440640x⁴ - 22020096x³ + 88080384x² - 201326592x + 201326641

For h(-1) = 69177661

Therefore h(x) ≠ h(-x) after the translation 8 units to the right and the function is neither even nor odd.

Answer:

Step-by-step explanation:

y = x² - 8

put x= 9   you have  y =  (9)² - 8 =81-8 = 73

The best way to remedy Ask customers throughout the day on both weekdays and weekends.

The cause of the bias in the survey is likely sampling bias. This means that the sample of 110 customers may not be representative of the entire population of food court shoppers. The bias can arise if the sample is not selected randomly or if certain groups of shoppers are overrepresented or underrepresented in the sample.

To remedy the sampling bias, the best way would be to  Ask customers throughout the day on both weekdays and weekends.

By surveying customers at different times, including both weekdays and weekends, a more diverse and representative sample can be obtained. This will help to capture the preferences of a wider range of food court shoppers and reduce the bias introduced by sampling only weekday mornings.

Learn more about Sampling here:

https://brainly.com/question/14611759

#SPJ4

The manager of a shopping mall wishes to expand the number of shops available in the food court. He has a market researcher survey the first 110 customers who come into the food court during weekday mamings in distin what types of food the shoppers would like to see added to the food court,

Which of the following is the best way to remedy this problem?

OA cisne the sample size so that more people respond to the question OB Ask customers throughout the day on both weekdays and hands

OC Reward the question so that it is balanced

Answer:

28

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

(1/2)56 = a - b

28 = a - b

a + 28 = 56

a = 28

The actual flag is 2.5 times wider than Malik's rectangular  model, meaning that it is 250% wider than the model he created.

Step 1: Calculate the width of Malik's model: 1010 inches

Step 2: Calculate the width of the actual flag: 2525 inches

Step 3: Divide the width of the actual flag by the width of Malik's model: 2525 / 1010 = 2.5

Malik created a model of a rectangular flag that was 1010 inches long. However, the actual flag was 2525 inches long. To figure out how many times wider the actual flag was than Malik's model, we needed to calculate the ratio of the widths. To do this, we divided the width of the actual flag (2525 inches) by the width of Malik's model (1010 inches). This gave us a ratio of 2.5, which means that the actual flag was 2.5 times wider than Malik's model. This can also be expressed as 250%, since 2.5 is the same as 250%. This means that the actual flag is 250% wider than the model created by Malik.

Learn more about rectangle here

https://brainly.com/question/29068457

#SPJ4

Answer:

I will help you I. working on it just be pecient

Answer:

$500 a week

Step-by-step explanation:

Hope I can help.

Kiaya can make a $25 withdrawal for 11 weeks without incurring a fee.

In mathematics, divides left-hand operands into right-hand operands in the division operation.

Kiaya needs to have at least $100 in her checking account to avoid a fee from the bank. She has $376 in her account now, so she can make $376 - $100 = $276 worth of withdrawals before she will be charged a fee.

Each week, she makes a $25 withdrawal.

To determine the number of weeks she can make this withdrawal before being charged a fee, we divide the total amount she can withdraw ($276) by the amount she withdraws each week ($25).

So, Kiaya can make $276 / $25 = 11 withdrawals before she will be charged a fee.

Therefore, she can make a $25 withdrawal for 11 weeks without incurring a fee.

To learn more about the division operation click here :

brainly.com/question/25870256

#SPJ2

The probability of rolling two dice and getting a sum of 8 is 5/36.

There are a total of 36 possible outcomes when two dice are rolled at the same time. Each die has 6 possible outcomes (1, 2, 3, 4, 5, or 6). To calculate the probability of getting a sum of 8, we need to count the number of ways that the dice can add up to 8.

There are five possible combinations that add up to 8: (2, 6), (3, 5), (4, 4), (5, 3), and (6, 2). Each of these combinations has a probability of 1/36 (since there is only one way to roll each of these combinations).

Therefore, the probability of rolling two dice and getting a sum of 8 is the sum of the probabilities of each of these five outcomes, which is:

1/36 + 1/36 + 1/36 + 1/36 + 1/36 = 5/36

So the probability of the numbers facing up and adding up to 8 is 5/36.

Learn more about probability: https://brainly.com/question/30034780

#SPJ11

9514 1404 393

Answer:

  u = -45/7 = -6 3/7

Step-by-step explanation:

It can work well to eliminate fractions first. Here, we can do that by multiplying by the product of their denominators: 12.

  -4u -48 = 3u -3

 -45 = 7u . . . . . . . . add 3+4u

  -45/7 = u . . . . . .  divide by the coefficient of u

__

Check

(-1/3)(-45/7) -4 = (1/4)(-45/7) -1/4

  15/7 -4 = -45/28 -7/28

  -13/7 = -52/28 . . . true

Answer:

option D is correct

x=O and x=-8

Answer:

(0,10)

Step-by-step explanation:

-x + 2y = 20

2y = x +20

y = 1/2x + 10

This is slope-intercept form. The y-intercept is 10.

(0,10)

Answer:

(0, 10)

Step-by-step explanation:

Can be simplified to

2y = x+20 by adding x to both sides

then divide by 2 to get to slope intercept form: y = ax+b

b is the y-intercept

y = 1/2x + 10

so the answer is 10

Answer:

7 melons

Step-by-step explanation:

So we first figure out the unit price of each melon by dividing 7.5 with 3 and you get $2.5 per melon. Then you divide 17.5 by 2.5 and then you should get 7.

Answer:

0.1515

Step-by-step explanation:

To convert 1 mile to 800 feet, we can set up a proportion:

\( \frac{1 mile}{5,280 feet} = \frac{x \: miles}{800 feet} \)

where x is the number of miles equivalent to 800 feet. To solve for x, we can cross-multiply:

\({5,280 feet}^{x miles} = {800 \: \: feet}^{1 mile}\)

Dividing both sides by 5,280 feet, we get:

\(x miles = \frac{800 feet}{5,280 feet} \\ x miles = 0.1515151515 miles\)

Therefore, 1 mile is equivalent to approximately 0.1515 miles or 800 feet is equivalent to approximately 0.1515 miles.

 The complete expression of the given quadratic function is:

x² + 14x + 49

   An algebraic expression is a set of numbers and letters that make up an expression that has a meaning, the letters are variables and the numbers are coefficients or independent terms, algebraic expressions can be part of an equation and model mathematical processes.

   To solve this problem we must complete square in the expression, it is necessary to note that perfect square trinomial has the form of:

(a + b)² = a² + 2ab + b²

x² + 14x + ?

where:

Substitute and find b

14x = 2xb

2b = 14

b = 7

   Let's complete the square

x² + 14x + 7²

x² + 14x + 49  

Learn more about algebraic expression in:

brainly.com/question/21856579

#SPJ4

Answer:

Step-by-step explanation:

a

Using the box-whisker plot approach, it is computed that 50% of the data values are more than 45.

In a box-whisker plot, as seen in the illustration, The minimum, first quartile, median, third quartile, and maximum quartiles are shown by a rectangular box with two lines and a vertical mark. In descriptive statistics, it is employed.

Given the foregoing, the box-whisker plot depicts a specific collection of data. A vertical line next to the number 45 shows that it is the 50th percentile in this instance and that 45 is the median of the data.

It indicates that 50% of the values are higher than 45 and 50% of the values are higher than 45.

Using this technique, we can easily determine the proportion of data for which the value is higher or lower. Data analysis and result interpretation are aided by it. Therefore, 50% of values exceed 45.

Note: The correct question would be as

The box-and-whisker plot below represents some data sets. What percentage of the data values are greater than 45?

0

H

10

20

30 40

50 60

70 80 90 100

For more questions on the box-whisker plot

https://brainly.com/question/1535617

#SPJ8

Answer:

La altura de la montaña es 2848,80 m.

Step-by-step explanation:

Un topógrafo usa un instrumento llamado teodolito para medir el ángulo de elevación entre el nivel del piso y la cumbre de una montaña. En un punto, se mide un ángulo de elevación de 41°.

La función trigonométrica tangente  se define como:

\(tan (angulo)=\frac{cateto opuesto}{cateto adyacente}\)

Entonces, siendo h altura de la montaña  e y la distancia de la base de montaña a donde se realiza la medición, la distancia de esta primera observación del topógrafo entre el nivel del piso y la cumbre de una montaña es:

\(tan (41)=\frac{h}{x}\)  Ecuación (A)

Medio kilómetro más lejos de la base de la montaña, el ángulo de elevación medido es de 37°. Entonces:

\(tan (37)=\frac{h}{x+500m}\)  Ecuación (B)

Entonces, despejando h de la ecuación (A):

h= tan(41)* x

Reemplazando la expresión en la ecuación (B):

\(tan (37)=\frac{tan(41)*x}{x+500m}\)

Resolviendo:

tan(37)*(x+500)=  tan(41)* x

0,754*( X +500) = 0,869*X

0,754*X + 377 = 0,869*X

377= 0,869*X -0,754*X

377= 0,115*x

377÷0.115= x

x= 3278,26 m

Entonces, reemplazando en la expresión h= tan(41)* x:

h= tan(41)* 3278,26 m

Resolviendo:

h = 0,869 *3278.26 m  

h = 2848,80 m

La altura de la montaña es 2848,80 m.

En la imagen adjunta se puede observar una representación gráfica de las medidas utilizadas en el problema.