what is 43 decided by 26

Answer:

B) in the modern art section of an art museum

Step-by-step explanation:

Hope it helps! =D

9514 1404 393

Answer:

Step-by-step explanation:

The inverse variation described can be either of ...

  c = k/d

or

  d = k/c

Either way, the equation can also be written as ...

  cd = k

For the given values of c and d, the value of k is ...

  (5)(5/3) = k = 25/3

So, the model can be written as ...

  cd = 25/3

or

  d = (25/3)/c

__

For c=10, the value of d is ...

  d = (25/3)/10 = 25/30

  d = 5/6

Let's represent the height of the tree as "h". According to the problem, the wire supporting the tree is 5 m longer than the height of the tree, so the length of the wire is "h + 5". The wire is anchored at a point whose distance from the base of the tree is 35 m shorter than the height of the tree, so this distance is "h - 35".

We can now use the Pythagorean theorem to find the height of the tree. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In this case, we have a right triangle formed by the tree, the ground and the wire. The height of the tree is one side of this triangle, and its length is "h". The distance from the base of the tree to where the wire is anchored is another side of this triangle, and its length is "h - 35". The wire itself is the hypotenuse of this triangle, and its length is "h + 5".

Applying the Pythagorean theorem, we have:

(h + 5)² = h² + (h - 35)²

Expanding and simplifying this equation:

h² + 10h + 25 = h² + h² - 70h + 1225

2h² - 80h + 1200 = 0

Dividing by 2:

h² - 40h + 600 = 0

We can solve this quadratic equation using factoring or by applying the quadratic formula. Factoring gives us:

(h - 30)(h - 20) = 0

So, h = 30 or h = 20.

Since both solutions are positive, either one could be a valid answer for this problem. However, if we have additional information or constraints that would allow us to choose one solution over the other, we could determine which one is correct. Without such information, we can only say that there are two possible answers: either h = 30 or h = 20.

Using a system of equations, it is found that 595 students picked Science as their favorite subject.

For our system, we suppose that x is the number of students that picked science, and y is the number of students that picked math.

Ratio of science to math of 3:5, thus:

\(\frac{x}{y} = \frac{3}{5}\)

Then

\(5x = 3y\)

\(x = \frac{3y}{5}\)

238  more students picked Math as their favorite subject, thus:

\(y = 238 + x\)

\(y - \frac{3y}{5} = 238\)

\(\frac{2y}{5} = 238\)

\(y = \frac{238(5)}{2}\)

\(y = 595\)

595 students picked Science as their favorite subject.

A similar problem is given at https://brainly.com/question/21244414

The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).

To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:

-8m²n - 7m²n = (-m²n) (8 + 7a)

Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.

For more such questions on polynomial, click on:

https://brainly.com/question/1600696

#SPJ8

Answer:

Step-by-step explanation:

23/40 = 0.575

The compound amount after 3 years is $2275.22.

In this case, you are given:

Principle = $2,000

rate = 0.0353

time = 3

You need to find A, the compound amount after 3 years.

To do this, you need to plug in the values of P, r and t into the formula and use a calculator:

A=P×e^rt

A=2000×(e)^0.0353×3

A≈2275.22

Therefore, by the compound interest the answer will be $2275.22.

Learn more about compound interest here:

https://brainly.com/question/11897800

#SPJ1

Answer:

 2 touchdowns, 3 field goals

Step-by-step explanation:

The number of touchdowns cannot be more than 3, so it is relatively easy to find the solution by trial and error.

 23 is not divisible by 3, so 0 touchdowns is not a solution

 23 -7 = 16 is not divisible by 3, so 1 touchdown is not a solution

 23 -14 = 9 is divisible by 3, so 2 touchdowns and 3 field goals is a solution

 21 -21 = 2 is not divisible by 3, so there is only one solution.

Answer:

1 touchdown and 3 field goals

Answer:

yes

Step-by-step explanation:

Answer:

13/45

Explanation:

...

Answer:

\(tan(30) = \frac{5}{b} \)

Step-by-step explanation:

Trigonometric Ratios.

To solve for b, we check the parameters that are given in the triangle.

If we're considering 30°, we can see that the opposite is given as 5cm and the adjacent is b.

Applying:

\(tan \alpha = \frac{oppsite}{adjacent} \\ \\ tan \: (30) = \frac{5}{b} \)

Answer:

a

Step-by-step explanation:

just did the quiz!!!!

Answer:

Step-by-step explanation:

A) Commission = 2450 shillings * 25 % = 2450 shillings * (25/100) = 2450 shillings * (0.25) = 612.50 shillings

Commission = 612.50 shillings

B) If the total sale is 2,450.00 shillings, after the seller gives buyers a 2% discount. We must re-enter the discount:

2,450.00 shillings = X - X * 2% = X - 0.02 X --->

------> 0.98 X = 2,450.00 shillings

------>X= 2,450.00 / 0.98

------> X = 2,500.00  shillings

NEW COMMISSION = 2,500.00 shillings * 25 % = 2,500.00 shillings *(25/100) =2,500.00 shillings * (0.25) = 625 shillings

NEW COMMISSION = 625 shillings

It’s a flip of the graph on the x-axis

Therefore f(x) = - x^2 (NOT IN PARENTHESIS that would be a reflection on the y axis)

It’s a shift 4 y values down therefore

g(x) = - x^2 - 4

Credits to: hoodini2

Total awpaws and guavas sold in a week = 328

Let the number of pawpas and guavas be x

ATQ

3x + 5x = 328

8x = 328

x = 328/8

x = 41

Pawapas in a week = 123

Guavas in a week = 205

Must click thanks and mark brainliest

Answer:

2.98

Step-by-step explanation:

First find 3% of 16.05 which is 0.48.

Then add 0.48 to 16.05 which is 16.53.

Then multiply .18 by 16.53 which gets you 2.98

Hope it helps

Answer:

To find the amount of the sales tax, we need to multiply the bill amount by the tax rate of 3% or 0.03:

Sales tax = 0.03 x $16.05 = $0.48

To find the total amount of the bill after the sales tax was added, we need to add the bill amount to the sales tax:

Total bill = $16.05 + $0.48 = $16.53

To find the amount of the tip, we need to calculate 18% of the total bill after the sales tax was added:

Tip = 0.18 x $16.53 = $2.98

Rounding to the nearest cent, Penelope left a tip of $2.98.

Step-by-step explanation:

(1) The value of x is determined as 16.8.

(2) The measure of length VX is calculated as 4.1.

(3) The measure of angle UWV is 69.5⁰.

The value of the missing lengths of the triangle is calculated by applying the following formula;

(1) For the two similar triangles, the value of x is calculated as follows;

20 / (28 - x) = 30 / x

20x = 30 (28 - x )

20x = 840 - 30x

20x + 30x = 840

50x = 840

x = 840 / 50

x = 16.8

(2) The measure of length VX is calculated by applying trig ratios.

tan 63 = 8 / VX

VX = 8 / tan 63

VX = 4.1

(3) The measure of angle UWV is calculated as follows;

angle T = 360 - (94 + 127) = 139

angle UWV = ¹/₂ x 139 (angle at circumference is half of angle at center)

angle UWV = 69.5⁰

Learn more about trig ratios here: https://brainly.com/question/10417664

#SPJ1

The correct answer is 5460 cubic feet or 5460 \(ft^{3}\)

Explanation:

The silo has a cylindrical shape, in this context, the volume of the silo or any other cylinder can be calculated by using the formula \(Volume =\pi r^{2} h\). In this formula the symbol \(\pi\) refers to the number 3.1415..., the letter \(r\) refers to the radius of the base and the letter \(h\) refers to the height.

Moreover, in this case, it is known the heigh (21 feet) and the area of the base (260 square feet). Additionally, this area of the base is the result of the formula \(Area = \pi r^{2}\), which is exactly the first section of the formula to find the volume. This implies that by multiplying the area of the base by the height the volume is known. Here is the process:

\(Volume = \pi r^{2} h\)  or  \(Volume = Ah\)   (Area of the base × height)

\(V = 260 square feet\) × \(21 feet\)

\(V = 5460 cubic feet\)

Answer:

Pull out like factors

  2x + 24  =   2 • (x + 12)

2x + 24 = 2x + 24

This equation is a tautology or an Identity meaning it's always true.

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

4x + 37 = 2x + 13

-2x. -2x

2x + 37 = 13

-37. -37

2x = -24

x = -12

Rita worked for 2 1/2 hours more during the second week

The first step is to write out the parameters given in the question

Rita works 12 3/4 hours in her first week at a new job

She works 15 1/4 hours in the second week

The number of hours that she worked longer during the second week can be calculated by subtracting the number of hours worked in the second week from the number of hours worked during the first week of the job

= 15 1/4 - 12 3/4

= 61/4 - 51/4

= 10/4

= 5/2

= 2 1/2

Hence Rita worked  2 1/2 hours longer during the second week

Read more on hours here

https://brainly.com/question/1405106

#SPJ1

The function h is defined, for all real numbers h(-3) = -1/2 , h(2) = -2 and h(4) = -4.

What is a function ?

When it comes to arithmetic, a function is represented as a rule that produces a different result for each input x. Mathematicians refer to functions as mapping or transformations.

The given function,

h(x) =  -1/2 x^2 + 4 if x≠ 2

                 -2         if x=2

So, h(-3) = -1/2 (-3)^2 + 4

             = - 9/2 + 4

             = -1/2

     h(2) = -2 ( given )

     h(4) = -1/2 (4)^2 + 4

            = -8 + 4

            = -4 .

Learn more about functions from the link given below:

https://brainly.com/question/25638609

#SPJ1

Answer:

\(-\frac{11}{12}\)

Step-by-step explanation:

please can i have brainliest

hope its right

Answer:  any amount from 0 to 90000 USD

Step-by-step explanation:

x USD will be paid for 15% bonds that makes x*0.15 USD /per year

So 90000-x will be paid for 7% bonds , that makes (90000-x)*0.07 USD/per year= 6300-0.07x   USD / per year.

So the total amount the woman gets from both investments yearly should be not less than 3000 USD/per year

Otherwise

0.15*x+6300-0.07*x>=3000

0.08*x+6300>=3000

The inequation is correct for any x>=0

The woman will be able invest in CD any amount from 0 to 90000 USD.

If we suppose that investments in CD more safe we'd recommend to the lady to invest all money to CD.

Answer:

see below

Step-by-step explanation:

$3000 is not a right number or $90000

Assume n instead of $3000, then

is required equation

x= (n-6300)/0.08 is the amount invested in the 15% bond

Consider n> $6300

Then 90000 -x will be the amount invested in the CD

Their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.

To determine the day of the week on which Kai and Finley's exam was scheduled, we need to consider the information provided about the trail being closed on Mondays, Wednesdays, and weekends.

If they had planned to hike to the log cabin for two days after the exams, and the trail is closed on weekends, it means they cannot start hiking on Saturday or Sunday.

Since they cannot start hiking on Saturday or Sunday, the two possible options for the exam day would be Monday or Wednesday, as they have not specified whether the hike starts immediately after the exams or the day after.

However, we can conclude that their exam was not scheduled on Monday, as the trail is closed on Mondays, and they had planned to hike immediately after the exams.

Therefore, their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.

Learn more about word problems at https://brainly.com/question/21405634

#SPJ1

Answer:

Step-by-step explanation:

To solve this question, I have divided the shape into squares and rectangles. Then, I found out the area of each square and rectangle. Lastly, I added up all the areas and found the area of the shape. Please consider looking at the picture uploaded to understand better.

When looking at the picture, we can say that the area is 55 + 120 + 304.

Hence, the area of the shape is 479 yd².

The scale factor of figure B to figure A is 1/2.

To find the scale factor of figure B to figure A, we need to determine how much the corresponding sides of the two figures have been multiplied or divided by.

Looking at the figures, we can see that the corresponding sides of figure B are half the length of the corresponding sides of figure A. For example, the length of side AB in figure A is twice the length of side AB' in figure B, and the length of side BC in figure A is twice the length of side B'C' in figure B.

Since the corresponding sides of figure B are half the length of the corresponding sides of figure A, the scale factor of figure B to figure A is 1:2 or 1/2.

Therefore, the scale factor of figure B to figure A is 1/2.

To know more about scale factor visit:

https://brainly.com/question/30215119

#SPj1

Answer:

16

Step-by-step explanation:

\(2a+3b \\ \\ =2(2)+3(4) \\ \\ =4+12 \\ \\ =16\)

Answer:

Step-by-step explanation:

2a+3b when a=2 and b=4

2a 2*2 =4

3b 3*4=12

=12+4=16

=2a+3b= 16 :)

Answer:

Step-by-step explanation:

6) We would like to find out the area of the following arcs with ,

As we know that the area of sector is given by ,

\(\longrightarrow Area =\dfrac{\theta}{360^o}\times \pi r^2 \)

Here on substituting the respective values , we have ,

\(\longrightarrow Area =\dfrac{75}{360}\times \dfrac{22}{7}\times 16m \times 16m \\\)

Simplify,

\(\longrightarrow \underline{\underline{Area =167.61 \ m^2}}\)

8) Again we would like to find out the area with ,

Firstly we know that ,

\(\longrightarrow \pi \ rad = 180^o\)

So ,

\(\longrightarrow 2\pi rad = 360^o \)

Therefore , the formula becomes ,

\(\longrightarrow Area =\dfrac{\theta}{2\pi}\times πr^2 \)

Substitute ,

\(\longrightarrow Area =\dfrac{19\pi}{12\times 2\pi}\times \pi r^2\\ \)

So that,

\(\longrightarrow Area =\dfrac{19}{24}\times \dfrac{22}{7}\times 14ft \times 14ft \\ \)

Simplify,

\(\longrightarrow \underline{\underline{ Area = 487.66 ft^2 }}\)

And we are done !

#1

Area

#2

Area