Find the missing side. Round to
the nearest tenth.
x
9
28°
x = [?]

Answer:

\(46\%\)

Step-by-step explanation:

let the percentage be x

\( 37 \times x\% = 17\\ 37 \times \frac{x}{100} = 17 \\ \frac{37x}{100} = 17 \\ x = \frac{17 \times 100}{37} \\ x = 45.94\%\)

Answer:

If (x-1) is a factor of the polynomial f(x) = 4x² - 4x² - x - K, then we know that (x-1) divides evenly into the polynomial, which means that the polynomial can be written as:

f(x) = (x-1)(ax + b)

where a and b are constants that we need to determine. We can use the distributive property to expand this expression and equate it with the original polynomial:

f(x) = (x-1)(ax + b) = 4x² - 4x - K

Expanding the left side of the equation, we get:

ax² + bx - ax - b = ax² - (a-b)x - b = 4x² - 4x - K

Now we can equate the coefficients of the like terms on both sides of the equation.

The coefficient of x^2 on the left side is a, and on the right side it is 4. Therefore, we have:

a = 4

The coefficient of x on the left side is b - a, and on the right side it is -4. Therefore, we have:

b - a = -4

Substituting a=4, we get:

b - 4 = -4

Solving for b, we get:

b = 0

So the polynomial can be written as:

f(x) = (x-1)(4x + 0) = 4x² - 4x

Therefore, K = 0.

To find the roots of the equation, we need to set f(x) = 0 and solve for x:

4x² - 4x = 0

Factor out 4x:

4x(x - 1) = 0

So the roots of the equation are x = 0 and x = 1.

= 63 / 4

= 15.75 points per game.

Answer:

15.75

Step-by-step explanation:

63÷4=15.75

hope you understand

Answer:

19 small frames and 3 large frames

Step-by-step explanation:

follows the steps in the attached

The price of each of these be

A. Price  \(}=\left(\frac{100 \%-20 \%}{100 \%}\right) * 120=\frac{80}{100} * 120=96 \\\)

B. Price =\(\left(\frac{100 \%-20 \%}{100 \%}\right) * 750=\frac{80}{100} * 750=600 \\\)

C. Price \(=\left(\frac{100 \%-20 \%}{100 \%}\right) * 250=\frac{80}{100} * 250=200\)

The complete question is.

A shop gives 20% discount. What would the price of each of these be?

A dress market at Rs.120

A pair of shoes market at Rs.750

A bag market at Rs.250

To learn more about discount refer to:

https://brainly.com/question/1548141

#SPJ1

Answer: length of box , l =26 cm , breadth , b =15 cm , height = 20 cm

So,the volume of the box = l × b × h

= 26 × 15 ×20 cm3

= 7800 cm3

Now length of a disc case, l= 1.6 cm

breadth ,b =14.2 cm

height, h =19.3 cm

So the volume of a disc case = 1.6×14.2×19.3 cm3

= 438.496 cm3

No of disc cases can be stacked inside the box

= 7800 ÷ 438.496

=7800000÷438.496

= 17.8

Hence 17 disc cases can be fitted into the box.

Step-by-step explanation:

Answer:

166 years older.

Step-by-step explanation: Subtract 1751 from 1917

The statement that are true about the function and its graph is "The graph of the function is a parabola " , the correct option is (b) .

In the question ,

it is given that ,

the quadratic function is f(x) = x² – 5x + 12 .

for x = -10 ,

f(-10) = (-10)² – 5(-10) + 12

= 100 + 50 + 12

= 162

option(a) is false .

the graph of the quadratic function is shown below .

form the graph we can see that the graph is a parabola ,

and the function opens upwards ,

the graph does not contain the points (20,-8) and (0,0)

Therefore , The statement that are true about the function and its graph is "The graph of the function is a parabola " , the correct option is (b) .

The given question is incomplete , the complete question is

Consider the quadratic function f(x) = x² – 5x + 12. Which statement is true about the function and its graph?

(a) The value of f(–10) = 82

(b) The graph of the function is a parabola.

(c) The graph of the function opens down.

(d) The graph contains the point (20, –8).

(e) The graph contains the point (0, 0).

Learn more about Functions here

https://brainly.com/question/13159926

#SPJ1

Answer:

Step-by-step explanation:

Since the triangles are similar, the ratio of corresponding sides are same.

ZX is the largest side and corresponding side is BC = 60, the shortest sides are BC = 40 and YZ = 20:

The mean of the distribution is 3

Arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean. One of the basic methods used to acquire a result, the term "Mean" is commonly used in the field of statistics.

The formula for the mean of a given set of data is as follows:

Mean = Sum of Observations/Total number of observations

According to the first graph,

Given the bar of observations as :

0, 5, 6, 3, 1, 1, 3, 6, 4, 1

Here the Sum of Observations = 30

And the total number of observations = 10

The mean of the distribution = 30/10

The mean of the distribution = 3

According to the second graph,

Given the bar of observations as :

0, 1, 3, 3, 9, 0, 9, 4, 4, 1

Here the Sum of Observations = 34

And the total number of observations = 10

The mean of the distribution = 34/10

The mean of the distribution = 3.4

The mean of the distribution = 4 (closest)

Learn more about Arithmetic means here:

brainly.com/question/13000783

#SPJ1

His total earnings for a total sale of 7,000​ could be 1450sh

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

Salary = 400

Commission = 15%

using the above as a guide, we have the following:

Total earnings = 400 + 15% * Total sales

So, we have

Total earnings = 400 + 15% * 7000

Evaluate

Total earnings = 1450

Hence, the total earnings is 1450

Read more about commission at

https://brainly.com/question/26283663

#SPJ1

Question

Simon earned 400sh weekly for goods sold and a commission of 15%

What could be his earnings for a total sale of 7,000​.

Answer:

\(3(x - 6) - 8x = - 2 + 5(2x + 1) \\ 3x - 18 - 8x + 2 - 10x - 5 = 0 \\ = > - 15x - 21 = 0 = > - 15x = 21 = > x = - \frac{7}{5} \)

The values of the angles given are: 0,90,180,240,270,360,420,480,540,600,630,660,720 and

he sine of an angle is the trigonometric ratio of the opposite side to the hypotenuse of a right triangle containing that angle.  It is defined as the length of the opposite side divided by the length of the hypotenuse

The given angles are: 0,30,45,90,120,135,180,210,225,240,270,300,315,330,360

2∅  2*∅ = 0, 90,180,240,270,360,420,480,540,600,630,660,720

sin 2∅ = sin0 = 0; Sin90=1;  sin180=0; sin240= -0.8660; sin270 = -1;

Each angle is multiplied by sine sine360 =1; sin420 = 0.8660; sin480= 0.9848; sin540=1; sin600=-0.8660; sin630=-1; sin660=0.8660; sin720= 0.9397

Learn more about sine of angles on https://brainly.com/question/22649800

#SPJ1

The 99% confidence interval for the true population mean backpack weight is approximately (68.15, 71.85) ounces, rounded to two decimal places.

To construct a 99% confidence interval for the true population mean backpack weight, we can use the formula:Confidence Interval = Sample Mean ± (Critical Value * Standard Deviation / √Sample Size).

Since the population standard deviation is known, we can use the z-distribution and find the critical value corresponding to a 99% confidence level. The critical value for a 99% confidence level is approximately 2.576.

Given that the sample mean weight is 70 ounces, the population standard deviation is 6.4 ounces, and the sample size is 48, we can calculate the confidence interval:

Confidence Interval = 70 ± (2.576 * 6.4 / √48).

Simplifying the expression, we get:

Confidence Interval ≈ 70 ± 1.855.

For more such questions on weight

https://brainly.com/question/2335828

#SPJ8

the standard form equation is y=ax²+bx+c where a is the quadratic coefficient, b is the linear coefficient, and c is the constant coefficient.

therefore, for y =  5/16x² - 5x/4 -35/4

Quadratic coefficient = 5/16, linear coefficient = 5/4, constant term = -35/4

What are zeros ?

zeros denotes the factors of the given equation in other words the zeros of the function are the values that make the factors zero. The factors need to multiply out to give the original standard-form equation.

Polynomial roots are the same as polynomial zeros, so they can be found by factoring the quadratic equation into two linear factors, after which they can be equating to zero.

Its easiest to first start out with a vertex form equation because it can then be converted to a standard quadratic equation.

given a vertex at (2,-10) , and point of intersection at (6,-5), the equation can be set up like this in the form of :

y = a(x-h)²+ k

y = a(x-2)^2-10, as we know h and k from the vertex.

We also know y and x from the given point of intersection so a can be solved by substituting the values of x and y to get value of a.

y = a(x-2)²-10

-5 = a(6-2)² - 10

16a = 10-5

a = 5/16

a = 5/16 which is also known as the quadratic coefficient because it is part of a second degree quantity and a Trinomial as a whole(quadratic).

since all the variables are known, you can expand the equation and set it to standard form :

y = 5/16(x-2)²-10

y = 5/16(x-2)² - 10

y = 5/16(x²+4-4x) -10

y = 5/16x² + 5/4 - 5x/4 - 10

y =  5/16x² - 5x/4 -35/4

For reference, the standard form equation is y=ax²+bx+c where a is the quadratic coefficient, b is the linear coefficient, and c is the constant coefficient.

In this instance, 5/16x² - 5x/4 -35/4 = ax²+bx+c

Learn more on quadratic function here:

https://brainly.com/question/21442266

#SPJ1

Answer:

3/8

Step-by-step explanation:

hope it helps :)

Answer:

28,995 kilometers

Step-by-step explanation:

401,830-372,835= 28995

Answer:

28,995

Step-by-step explanation:

401,830

-372,835

  28,995

The weight of the 0.8-meter piece is 19.6 kilograms.

We can use the ratio of length to weight to determine the weight of the 0.8-meter piece.

Let's call the weight of the 2.8-meter piece "W₁" and the weight of the 0.8-meter piece "W₂". Then we have:

W₁/2.8m = 24.5kg/1m

Solving for W₁, we get:

W₁ = (24.5kg/1m) x 2.8m = 68.6kg

Now we can use the same ratio to find W₂:

W₂/0.8m = 24.5kg/1m

Solving for W₂, we get:

W₂ = (24.5kg/1m) x 0.8m = 19.6kg

Therefore, the weight of the 0.8-meter piece is 19.6 kilograms.

To learn more on Ratios click:

https://brainly.com/question/1504221

#SPJ1

Answer:

\(0.7\) is the probability that the piston chosen from Machine 1 is satisfactory and the piston chosen from Machine 2 is unsatisfactory

Step-by-step explanation:

The two events are independent of each other.

Hence the probability of choosing satisfactory piston from Machine 1 and unsatisfactory piston from Machine 2 is equal  probability of choosing satisfactory piston from Machine 1 + probability of choosing unsatisfactory piston from Machine 2

Substituting the given values we get

Probability of choosing satisfactory piston from Machine 1 and unsatisfactory piston from Machine 2 =\(\frac{174}{174 +116} + \frac{20}{180 +20}\)

=\(\frac{174}{174 +116} + \frac{20}{180 +20}\)

=\(= \frac{174}{290} + \frac{20}{200}\\= 0.6 + 0.1\\= 0.7\)

The matching expressions are:

\(i) 3a x 4 = C (12a)\\ii) a^2 x a = A (a^3)\\iii) 6 × 1/2 a^2 = D (3a^2)\)

i) 3a x 4 can be represented as C (12a) since multiplying 3a by 4 gives 12a.

ii) a^2 x a can be represented as A (a^3) since multiplying a^2 by a gives a^3.

iii) \(6 \times 1/2 a^2\) can be represented as D (3a^2) since multiplying 6 by 1/2 and then by a^2 gives 3a^2.

To understand the matching expressions, let's break down each one:

i) 3a x 4:

This expression represents multiplying a variable, 'a', by a constant, 4. The result is 12a, which matches with C (12a).

ii) a^2 x a:

This expression represents multiplying the square of a variable, 'a', by 'a' itself. This results in a^3, which matches with A (a^3).

iii) 6 × 1/2 a^2:

This expression involves multiplying a constant, 6, by a fraction, 1/2, and then multiplying it by the square of 'a', a^2. The final result is 3a^2, which matches with D (3a^2).

Therefore, the matching expressions are:

i) 3a x 4 = C (12a)

ii) a^2 x a = A (a^3)

iii) 6 × 1/2 a^2 = D (3a^2)

for such more question on matching expressions

https://brainly.com/question/12270624

#SPJ8

The correct answers are:

Functions are expressions separated by an equal sign. They have both dependent and independent variables.

* Lets explain how to solve the problem

- The table of the function has two column

# First column labeled x with entries:

 -6 , 7 , 4 , 3 , -5

# Second column labeled f(x) with entries:

  8 , 3 , -5 , -2 , 12

∴ The ordered pairs of the function f(x) are:

 (-6 , 8) , (7 , 3) , (4 , -5) , (3 , -2) , (-5 , 12)

* Lets complete the missing

∵ The value of x in the first row is -6

∵ The value of f(x) in the first row is 8

∴ The function notation in the 1st row is f(-6) = 8

- The ordered pair given in the first row of the table can be

 written using function notation as f(-6) = 8

∵ The ordered pair whose x = 3 is (3 , -2)

∴ The value of f(x) when x = 3 is -2

∴ f(3) = -2

∵ The ordered pair whose f(x) = -5 is (4 , -5)

∴ The value of x when f(x) = -5 is 4

∴ f(x) = -5 when x is 4

To learn more about the function visit, https://brainly.com/question/28278690

Answer:

that means each side equals 8

Step-by-step explanation:

I THINK X IS 5/4 ANY ANSWER CHOISES ??

To find the fraction of pocket money left after spending on transport and fruit, we need to subtract the amount spent from the total pocket money and express it as a fraction.

The student spends 18 out of 35 of his pocket money, which means he has (35 - 18) = 17 units of his pocket money left.

Therefore, the fraction of pocket money left can be written as 17/35.

To find the common roots between two functions, we need to find the roots (or solutions) of each function individually and then identify the shared solutions.

For the function f(x) = x^2 + x - 6, we can find the roots by setting the function equal to zero and solving for x:

x^2 + x - 6 = 0

To factorize this quadratic equation, we need to find two numbers that multiply to -6 and add up to 1 (the coefficient of x). The numbers that satisfy these conditions are 3 and -2:

(x + 3)(x - 2) = 0

Setting each factor equal to zero:

x + 3 = 0 or x - 2 = 0

Solving for x in each equation:

x = -3 or x = 2

Therefore, the function f(x) = x^2 + x - 6 has two roots: x = -3 and x = 2.

To find the common roots between this function and another function, we would need to know the second function. If you provide the second function, I can help determine if there are any shared roots.

Answer:

175760000 possible reservation codes

Step-by-step explanation:

Repetition of numerals or letters is permitted in the context of the question.

There are ten options for each digit (even a leading zero is considered a reservation number), and 26 options for each letter (normally upper and lower cases are considered identical). So,

Possible  reservations = 10*10*10*10*26*26*26

=10^4*26^3

=175760000

The number of different reservation codes possible are 175760000.

Given that, a hotel reservation code consists of 4 single-digit numbers followed by 3 letters.

Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set. The symbol nPr is used to denote the number of permutations of n distinct objects, taken r at a time.

From the context of the question, repetition of digits or letters are allowed.

For each digit, there are 10 possible choices (even a leading zero is considered a reservation number), and for each letter, there are 26 letters (normally upper and lower cases are considered identical).

So, number of ways =10×10×10×10×26×26×26

=10000×17576

=175760000

Hence, the number of different reservation codes possible are 175760000.

To learn more about the permutation visit:

https://brainly.com/question/3867157.

#SPJ2

Answer: 3 hours

Step-by-step explanation:

Bottle = 3.6 liters / 3600 milliliters

Rate = 20 ml a minute

3600 / 20 = 180 minutes

60 minutes = 1 hour

180 / 60 = 3 hours