find tan(a) in the triangle

Constant of variation = number of chairs/ spacing.

80/16 = 5

The answer is B.5

Answer:

$14,580

Step-by-step explanation:

To start off, 10% of 20,000-one easy way to do this is to multiply 20,000 by 0.1, which is 10% in decimal form

-In doing that, you get 2,000

-Now the question says that the value is depreciated which means it goes down in value, so subtract 2,000 from 20,000 to 18,000

-the value of the car after one year is now $18,000

Now, let's move to the second year.  This time find 10% of 18,000

-multiply 18,000 by 0.1 to get 1,800

-since the value is depreciating, or becoming less, we will subtract 1,800 from 18,000 to get 16,200

-the value of the car after two years is now $16,200

Finally, let's look at the value of the car after three years.  Only this time, we will now find 10% of 16,200

-multiply 16,200 by 0.1 to get 1,620

-since value is being depreciated, or lessened, we will once again be subtracting.  Subtract 1,620 from 16,200 to get 14,580

Therefore, the value of the car after three years is now $14,580.

Answer:

i) x = 65°       ii)  x = 60°     iii)  x = 34°

  y = 50°           y = 80°           y = 124°

Step-by-step explanation:

i) x = 180-115= 65°

  y = 65+65= 130

     =  180-130= 50°  

ii) x = 90+30= 120

         180-120= 60°

   y = 60+20= 80

         180-80 = 100

         180-100= 80°

iii) y = 34+90= 124

    x = 180-124= 56

           56+90= 146

           180-146= 34°

I hope this helped, mark me brainliest please :)

Answer:

The breadth of the room is 6 metres

Answer:

Step-by-step explanation:

Side of a tile= a  = 0.75 m

Area of one square tile = a²  = (0.75)² = 0.5625 m²

Area of 96 square tiles = 0.5625 * 96

Area of the room =  area of 96 square tiles

length * breadth = 0.5625 * 96

9 * breadth = 0.5625 * 96

     breadth = [tex]\frac{0.5625*96}{9}\\\\[/tex]

      breadth = 6 m

Answer:

518 / 3.

Step-by-step explanation:

(74 / 3) * 7 = (74 * 7) / 3 = 518 / 3 = 172 and 2/3 = 172.6666666667.

Hope this helps!

Answer:

1) 24Z^2 - 177.

2) 16d^2 - 32d.

6) 30x - 24.

7) 6q - 4.

Step-by-step explanation:

1) 3(8Z^2 - 52 - 7)

= 3(8Z^2 - 59)

= 24Z^2 - 177

2) 8d(2d - 4)

= (8d * 2d) - (8d * 4)

= 16d^2 - 32d

6) 6(5x - 4)

= (6 * 5x) - (6 * 4)

= 30x - 24

7) Already simplified. 6q - 4.

Hope this helps!

Answer:

  1 : 2

Step-by-step explanation:

The ratio is ...

  small dia : large dia = 1 : 2 = small circumference : large circumference

__

Further explanation

The diameter of the small circle is the radius of the large circle. Since the large circle's diameter is twice the length of its radius, the ratio of circle diameters is ...

  small : large = 1 : 2

We multiply the diameter by π to get the circumference. Multiplying both these numbers by π will give the ratio of the circumferences. In order to reduce the ratio to lowest terms we must divide by π again:

  dia ratio = circumference ratio = lowest terms ratio

  1 : 2 = π : 2π = 1 : 2

Answer: 1:2

Step-by-step explanation:

Answer:

The probability that exactly 2 buyers would prefer red car is 0.0317.

Step-by-step explanation:

Let the random variable X represent the number of buyers would prefer red car.

The probability of the random variable X is, p = 0.40.

A random sample of n = 14 buyers are selected.

The event of a buyer preferring a red car is independent of the other buyers.

The random variable X thus follows a Binomial distribution with parameters n = 14 and p = 0.40.

The probability mass function of X is:

[tex]P(X=x)={14\choose x}(0.40)^{x}(1-0.40)^{14-x};\ x=0,1,2,3...[/tex]

Compute the  probability that exactly 2 buyers would prefer red car as follows:

[tex]P(X=2)={14\choose 2}(0.40)^{2}(1-0.40)^{14-2}[/tex]

                [tex]=91\times 0.16\times 0.0021768\\=0.031694208\\\approx 0.0317[/tex]

Thus, the probability that exactly 2 buyers would prefer red car is 0.0317.

CHECK THE ATTACHED FIQURE FOR THE BRIDGE

Answer:

60 ft

Step-by-step explanation:

From the question we know that triangles ABC and EDC are in a 1:1 with this given ratio it implies that

triangles ABC and EDC are congruent then we can say

side EC = side AC

3x + 9 = 5x - 5

Then we can simplify to know value of x

3x + 14= 5x

2x = 14

x = 7

But we know that AC= 5x - 5 , then substitute value of x into it

AC = 5x + 5 = 5(7) - 5

= 35 - 5

AC= 30 ft

Also EC= 3x + 9 then substitute value of x into it

EC = 3x + 9 = 3(7) + 9

= 21 + 9

EC= 30 ft

Then the the distance between the top and bottom of the bridge, in feet, = EC+AC

= 30 + 30 = 60 ft

Answer:

60 ft

Step-by-step explanation:

i did the test

Answer:

[tex]\boxed{-9x^3-18x^2 + 15x}[/tex]

Step-by-step explanation:

(3x²+6x-5)(-3x)

Apply distributive law.

-3x(3x²)-3x(6x)-3x(-5)

Simplify.

-9x³ - 18x² + 15x

Answer:

[tex] \boxed{\red{ - 9 {x}^{3} - 18 {x}^{2} + 15x}}[/tex]

Step-by-step explanation:

[tex] ( - 3x)(3 {x}^{2} + 6x - 5) \\ - 3x(3 {x}^{2} ) - 3x(6x) - 3x( - 5) \\ = - 9 {x}^{3} - 18 {x}^{2} + 15x[/tex]

Answer:

Fist if all u will draw ur Parallel lines e and f are cut by transversal c and d. All angles are described clockwise, from uppercase left. Secondly u will draw ur Parallel lines or angle.

Answer:

a c e

Step-by-step explanation:

Answer:c.31

Step-by-step explanation:

The value of function f (1) is,

⇒ f (1) = 31

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

We have to given that;

A sequence is defined by the formula,

⇒ f (n+1) = f(n) - 3

Now, We can find the value of f (1) as;

Here, f (4) = 22

Put n = 3;

⇒ f (n+1) = f(n) - 3

⇒ f (3+1) = f(3) - 3

⇒ f (4) = f (3) - 3

⇒ 22 = f (3) - 3

⇒ 22 + 3 = f(3)

⇒ f(3) = 25

Put n = 2;

⇒ f (2+1) = f(2) - 3

⇒ f (2+1) = f(2) - 3

⇒ f (3) = f (2) - 3

⇒ 25 = f (2) - 3

⇒ 25 + 3 = f(2)

⇒ f(2) = 28

Put n = 1;

⇒ f (n+1) = f(n) - 3

⇒ f (1+1) = f(1) - 3

⇒ f (2) = f (1) - 3

⇒ 28 = f (1) - 3

⇒ 28 + 3 = f(1)

⇒ f(1) = 31

Thus, The value of function f (1) is,

⇒ f (1) = 31

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Answer:

Option (4)

Step-by-step explanation:

If the given exponential function is in the form of f(x) = [tex]a(b)^x[/tex]

From the graph we find that two points (0, 3) and (0.5, 6) lie on the graph.

For (0, 3),

f(0) = [tex]a(b)^0[/tex]

3 = a

For (0.5, 6),

f(0.5) = [tex]3(b)^{0.5}[/tex]

6 = [tex]3\sqrt{b}[/tex]

[tex]\sqrt{b}=2[/tex]

b = 4

Therefore, value of b in the given function 'f' is 4.

Option (4) will be the answer.

Answer:

(D) 4

Step-by-step explanation:

♥☺

Answer:

1/12

Step-by-step explanation:

Answer:

The answer is:  C. 1/12

Step-by-step explanation:

I know this is correct because I have the same question on my assignment and it was right.

Answer as a fraction = 1/18

Answer in decimal form (approximate) = 0.0556

Answer in percent form (approximate) = 5.56%

========================================================

Explanation:

We have 6*6 = 36 ways to roll out two dice. I recommend making a chart to show all the possible outcomes. You can search online for a "dice chart" or "sum of dice chart" and one will be made for you. The chart is a handy reference to see all the outcomes.

Of those 36 total outcomes, only 2 outcomes have the dice add to 3. Those two outcomes are 1+2 and 2+1.

So the number of events we want is 2 out of 36 total, meaning 2/36 = 1/18 is the probability.

Using your calculator, you should find that 1/18 = 0.0556 approximately, which converts over to 5.56% roughly.

The probability the sum of the two numbers on the die will be 3 is 5.56% roughly.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

Two 6-sided dice are rolled. We need to find the probability the sum of the two numbers on the die will be 3.

We have 6 x 6 = 36 ways to roll out two dice.

Out of those 36 total outcomes, only 2 outcomes have the dice add to 3.

Those two outcomes are 1+2 and 2+1.

Thus, the number of events we want is 2 out of 36 total,

2/36 = 1/18 is the probability.

1/18 = 0.0556 approximately, which converts over to 5.56% roughly.

Therefore,  the probability the sum of the two numbers on the die will be 3 is 5.56% roughly.

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Answer:

y=-x-2

Step-by-step explanation:

y-3=-x-5

y=-x-2

Answer:

Two complex roots

Step-by-step explanation:

A discriminant of a quadratic equation ax² + bx +c is:

For the given function f(x)= 6x² - 5x + 3 the discriminant is:

Since it has i element, the roots are complex

Correct option is the first one

Answer:

Which statement about the function is true?

The function is positive for all real values of x where

x > –4. <<<CORRECT

The function is negative for all real values of x where

–6 < x < –2.

The function is positive for all real values of x where

x < –6 or x > –3.

The function is negative for all real values of x where

x < –2.

Step-by-step explanation:

November Edge 2021

Function f(x) is positive for the values x ≤ -6 and x ≥ -2 and negative in the interval -6 ≤ x ≤ -2.

A parabola is a plane curve that is mirror-symmetrical and roughly U-shaped in mathematics. It fits several seemingly disparate mathematical descriptions, all of which can be shown to define the same curves.

The graph of the function f(x) = (x + 2)(x + 6) is a downward facing parabola that intersects the x-axis at x = -6 and x = -2.

Therefore, we can conclude that the function is negative for all real values of x where x < -6 or x > -2 (outside the x-intercepts).

The function is positive for all real values of x where x lies between the x-intercepts, which means -6 < x < -2.

Therefore, the statement that is true is: "The function is negative for all real values of x where x < -6 or x > -2. The function is positive for all real values of x where -6 < x < -2."

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Your question seems incomplete, the probable complete question is:

Which statement about the function is true?

O The function is positive for all real values of x where

The function is negative for all real values of x where

-6exs-2.

O The function is positive for all real values of x where

X-6 orr-3

O The function is negative for all real values of x where

x<-2

The discount is 15%, multiply the price y 15%:

5000 x 0.15 = 750

The discount is 750

Answer:

2x^2 - x + 1

Step-by-step explanation:

This is polynomial long division:

Divide x + 3 into 2x^3 + 5X^2 - 2x + 3:

  Divide 2x^3 by x = 2x^2

  Multiple 2x^2 by (x + 3) =  2x^3 + 6x^2

  Subtract that from 2x^3 + 5X^2 - 2x + 3 = -x^2 -2x + 3

  Divide -x^2 by x = -x

  Multiple -x by (x + 3) = -x^2 - 3x

  Subtract that from -x^2 - 2x + 3 =  x + 3

  Divide x by x = 1

  Multiple 1 by (x + 3) = x + 3

  Subtract from x + 3 = 0

Answer:

32

Step-by-step explanation:

P=2(l+w)

so 2(11+5)=P

2(11+5)=32

Answer:

[tex]x=37\,\sqrt{2}[/tex]

Step-by-step explanation:

Notice you are dealing with a right angle triangle, since one of the angles measure [tex]90^o[/tex]. Now, what you are asked to find is the hypotenuse of that triangle, given an angle of [tex]45^o[/tex] and the opposite side: 37 units. Then, we can use for example the sine function which relates opposite, and hypotenuse:

[tex]sin(45^o)=\frac{opposite}{hyp} \\hyp=\frac{opposite}{sin(45^o)} \\hyp=\frac{37}{\sqrt{2}/2}\\hyp=37\,\sqrt{2}[/tex]

Answer: The lines are parallel.

The slopes are equal.

The y-intercepts are different.

The system has no solution.

Step-by-step explanation:

For  a pair of equations: [tex]a_1x+b_1y=c_1\\\\a_2x+b_2y=c_2[/tex]

They coincide if [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}[/tex]

They are parallel if [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq\dfrac{c_1}{c_2}[/tex]

They intersect if [tex]\dfrac{a_1}{a_2}\neq\dfrac{b_1}{b_2}[/tex]

Given equations: [tex]8 x + 10 y = 30\\ 12 x + 15 y = 60[/tex]

Here,

[tex]\dfrac{a_1}{a_2}=\dfrac{8}{12}=\dfrac{2}{3}\\\\ \dfrac{b_1}{b_2}=\dfrac{10}{15}=\dfrac{2}{3}\\\\ \dfrac{c_1}{c_2}=\dfrac{30}{60}=\dfrac{1}{2}[/tex]

⇒[tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq\dfrac{c_1}{c_2}[/tex]  

Hence, The lines are parallel.

It has no solution. [parallel lines have no solution]

Write 8 x + 10 y = 30 in the form of y= mx+c, where m is slope and c is the y-intercept.

[tex]y=-\dfrac{8}{10}x+\dfrac{30}{10}\Rightarrow\ y=-0.8x+3[/tex]

i.e. slope of 8 x + 10 y = 30 is -0.8 and y-intercept =3

Write  12 x + 15 y = 60 in the form of y= mx+c, where m is slope

[tex]y=-\dfrac{12}{15}x+\dfrac{60}{15}\Rightarrow\ y=-0.8x+4[/tex]

i.e. slope of  12 x + 15 y = 60 is -0.8 and y-intercept =4

i.e. The slopes are equal but y-intercepts are different.

Answer: The lines are parallel.

The slopes are equal.

The y-intercepts are different.

The system has no solution.

Step-by-step explanation:

For  a pair of equations:  

They coincide if  

They are parallel if  

They intersect if  

Given equations:  

Here,

⇒  

Hence, The lines are parallel.

It has no solution. [parallel lines have no solution]

Write 8 x + 10 y = 30 in the form of y= mx+c, where m is slope and c is the y-intercept.

i.e. slope of 8 x + 10 y = 30 is -0.8 and y-intercept =3

Write  12 x + 15 y = 60 in the form of y= mx+c, where m is slope

i.e. slope of  12 x + 15 y = 60 is -0.8 and y-intercept =4

i.e. The slopes are equal but y-intercepts are different.

Answer:

[tex]\huge\boxed{(2x)^\frac{1}{2}\times(2x^3)^\frac{3}{2}=4x^5}[/tex]

Step-by-step explanation:

[tex](2x)^\frac{1}{2}\times(2x^3)^\frac{3}{2}\qquad\text{use}\ (ab)^n=a^nb^m\\\\=2^\frac{1}{2}x^\frac{1}{2}\times2^\frac{3}{2}(x^3)^\frac{3}{2}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=2^\frac{1}{2}x^\frac{1}{2}\times2^\frac{2}{3}x^{(3)(\frac{3}{2})}=2^\frac{1}{2}x^\frac{1}{2}\times2^\frac{2}{3}x^\frac{9}{2}\\\\\text{use the commutative and associative property}\\\\=\left(2^\frac{1}{2}\times2^\frac{3}{2}\right)\left(x^\frac{1}{2}\times x^\frac{9}{2}\right)\qquad\text{use}\ a^n\times a^m=a^{n+m}[/tex]

[tex]=2^{\frac{1}{2}+\frac{3}{2}}x^{\frac{1}{2}+\frac{9}{2}}=2^\frac{1+3}{2}x^{\frac{1+9}{2}}=2^\frac{4}{2}x^\frac{10}{2}=2^2x^5=4x^5[/tex]

Answer:

[tex] 4x^5 [/tex]

Step-by-step explanation:

[tex] (2x)^\frac{1}{2} \times (2x^3)^\frac{3}{2} = [/tex]

[tex]= (2x)^\frac{1}{2} \times (2x \times x^2)^\frac{3}{2}[/tex]

[tex]= [(2x)^\frac{1}{2} \times (2x)^\frac{3}{2}] \times (x^2)^\frac{3}{2}[/tex]

[tex]= (2x)^{\frac{1}{2} + \frac{3}{2}} \times x^{{2} \times \frac{3}{2}}[/tex]

[tex]= (2x)^{\frac{4}{2}} \times x^{\frac{6}{2}}[/tex]

[tex] = 2^2x^2 \times x^3 [/tex]

[tex] = 4x^5 [/tex]

Answer:

Step-by-step explanation:

34+23F=175

23F=175-34=141

F=141/23≈6.13

so he buys more 7 bags

Using proportions, it is found that Sergei needs to buy 7 bags.

-----------

1 bag - 23 kilograms

x bags - 141 kilograms

Applying cross multiplication:

[tex]23x = 141[/tex]

[tex]x = \frac{141}{23}[/tex]

[tex]x = 6.1[/tex]

Rounding up, he needs to buy 7 bags.

A similar problem is given at https://brainly.com/question/23536327

Answer:27.78% ; Twi; 1/3

Step-by-step explanation:

Given the data :

Language - - - - - - - Number of students

Nzema - - - - - - - - - - - 5

Ga - - - - - - - - - - - - - - - 20

Twi - - - - - - - - - - - - - - - 30

Ewe - - - - - - - - - - - - - - - 25

Fante - - - - - - - - - - - - - - 10

1.) To prepare pie chart:

Total number of students :

(5 + 20 + 30 + 25 + 10) = 90 students

Nzema: (5/90) × 360 = 20

Ga : (20/90) × 360 = 79.99 = 80

Twi : (30/90) × 360 = 119.99 = 120

Ewe : (25/90) × 360 = 79.99 = 100

Fante : (10/90) × 360 = 39.99 = 40

Total = 360

Pie chart is attached in the picture below

2)Percentage students that speak Ewe = (25/90) * 100 = 27.78%

Or (100/360) * 100 = 27.78%

3.) Modal language : This is the language spoken by majority of the students = Twi

4.) Fraction of student that speak either GA or Fante :

(GA or Fante) = (20 + 10) / 90 = 30/90 = 1/3

Answer:

2:5

Step-by-step explanation:

The structure of a ratio is x:y.

So all you have to do is place the former as the first digit and the latter as the second and separate them by a colon.

Answer:

b

Step-by-step explanation:

you need to round 2.51 to 3 because it was the correct answer

Answer:

360 different permutations.

Step-by-step explanation:

It goes 6*5*4*3 because as you pick the pens the amount of pens in the jar would obviously decrease. Picking one leaves you with 5 new options. If you repeat that 4 times then you are left with 360 options.

The number of permutations of picking 4 pens from the box is 6P4, or 6!/(6-4)! = 654×3 = 360.

We have 6 pens and we are picking 4 of them. The order in which we pick the pens matters, so we are dealing with permutations.

The number of permutations of n objects is given by n!, or n factorial. So, the number of permutations of 6 objects is 6!.

However, we need to divide by the number of permutations of the 2 pens that we are not picking. There are 2 pens that we are not picking, so the number of permutations of those pens is 2!.

Therefore, the number of permutations of picking 4 pens from the box is 6!/(6-4)! = 654×3 = 360.

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Answer:

I believe the unit price would be 2.39 per unit

Step-by-step explanation: