A television is 28.5 inches wide and 16 inches long.

Using the Pythagorean Theorem, what is the length of the diagonal of the television, rounded to the nearest inch?

Answer:

x=3

Step-by-step explanation:

(x-3)2=0

= 2x-6=0

= 2x=6

= x=3

Answer:

thw answer is x=3

Step-by-step explanation:

hoped I helped:)

Answer: D

Step-by-step explanation:

21/17.5 = 18/15

So the triangles are similar by SAS.

Answer:

we need explaining of this question

Answer:

25

Step-by-step explanation:

30 goes into 750 25 times.

You can check your answer by multiplying 30 by 25 which equals 750. Therefore your answer is correct.

The 750 divided by 30 equals 25. This means that if we distribute 750 objects into 30 groups equally, each group would contain 25 objects.

When we divide 750 by 30, we can calculate the result as follows:

750 ÷ 30 = 25

Therefore, 750 divided by 30 equals 25. This means that if we distribute 750 objects into 30 groups equally, each group would contain 25 objects. Division is the arithmetic operation that allows us to determine how many times one number (the divisor) can be subtracted from another number (the dividend) without resulting in a negative value.

In this case, when we divide 750 by 30, we find that the quotient is 25. This represents the number of groups or units we can obtain when dividing 750 into 30 equal parts. Division is a fundamental mathematical operation used in various real-life scenarios, such as distributing resources, calculating averages, and solving ratio problems.

To know more about divided:

https://brainly.com/question/15381501?

#SPJ6

Answer:

double the width

Step-By- Step

An equivalent fraction of 36/48 having denominator 6 could be 6/6 only.

A fraction represents a part of a number or any number of equal parts.

we are given a fraction as 36/48.

We can make equivalent fractions by multiplying or dividing both top and bottom by the same amount.

We have to only multiply or divide, never add or subtract, to get an equivalent fraction. Only divide when the top and bottom stay as whole numbers.

In this case we have a clue which is 48,

6 x 8 = 48

Then we would want to take the 6 and times it by the denominator which is 6

So 6 x 6 = 36

An equivalent fraction of 36/48 is 6/6.

Learn more about fraction;

https://brainly.com/question/729654

#SPJ1

The probability is closer to one than zero.

Probability theory is used to analyze and predict the likelihood of events happening in various fields such as statistics, gambling, physics, finance, and more. It allows us to make informed decisions based on the likelihood of different outcomes. In probability theory, the total number of possible outcomes is important to determine the probability of a single event occurring. By comparing the favorable outcomes to the total outcomes, we can calculate the probability of an event happening.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. Probability for Class 10 is an important topic for the students which explains all the basic concepts of this topic. The probability of all the events in a sample space adds up to 1.For example, when we toss a coin, either we get Head OR Tail, only two possible outcomes are possible (H, T). But when two coins are tossed then there will be four possible outcomes,  i.e {(H, H), (H, T), (T, H), (T, T)}.

To know more about probability

brainly.com/question/17011124

Answer:

Step-by-step explanation: Yes, they can match in 2, 5, and/or 10 equal rows. This is because the number of items in the set can be divided evenly by 2, 5, and 10. For example, if there are 20 items in the set, it can be divided into 2 rows of 10, 5 rows of 4, or 10 rows of 2.

Answer:

£26.77

Step-by-step explanation:

450(100% + 2%)^6

= 450 (1.02)^6

= 506.77.

506.77 - 480 - 26.77.

Riley had £26.77 left.

Answer:

Step-by-step explanation:

From the information given :

The null hypothesis \(H_o : \sigma = 60\)

The alternative hypothesis  \(Ha : \sigma \neq 60\)

Given that:

the sample size n = 21

sample standard deviation s = 68

population standard deviation σ = 60

a) The level of significance \(\alpha =0.01\)

b) The chi-square statistics can be calculated as:

\(\bar X = \dfrac{(n-1)s^2}{\sigma^2}\)

\(\bar X = \dfrac{(21-1)68^2}{60^2}\)

\(\bar X = \dfrac{(20)4624}{3600}\)

\(\bar X = 25.69\)

The degree of freedom is :

= n - 1

= 21 - 1

= 20

9.  The stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. The stamp duty payable on a property with a purchase price of K150,000 is K7,500.

To calculate the stamp duty payable on properties with a purchase price of K45,000 and K150,000, we need to apply the corresponding rates of stamp duty based on the given information.

Given:

Value of Property:

Up to K35,000: Stamp Duty Rate - 2%

K35,000 to K70,000: Stamp Duty Rate - 3%

K70,000 to K140,000: Stamp Duty Rate - 4%

Over K140,000: Stamp Duty Rate - 5%

9. Calculate the stamp duty payable on properties whose purchase price is K45,000:

Since the purchase price of K45,000 falls within the range of K35,000 to K70,000, the stamp duty rate applicable is 3%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K45,000 * 3%

= K45,000 * 0.03

= K1,350

Therefore, the stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. Calculate the stamp duty payable on properties whose purchase price is K150,000:

Since the purchase price of K150,000 is above K140,000, the stamp duty rate applicable is 5%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K150,000 * 5%

= K150,000 * 0.05

= K7,500

Therefore, the stamp duty payable on a property with a purchase price of K150,000 is K7,500.

for such more question on property

https://brainly.com/question/29667212

#SPJ8

Answer:

B and C

Step-by-step explanation:

Minimum and Maximum points occur when the gradient of the function is equal to 0. Graphically this looks like a bend such that the function dips from decreasing to increasing (the gradient goes form being negative to positive) and vice versa.

A minimum point occurs where all the nearby values are higher than that of the point in question.

A maximum point occurs where all the nearby points are lower than the point in question.

By looking at the graph, there is a maximum point around (4.5, 1.5) which is consistent with B but not A (since A talks about a minimum point)

By looking at the graph, there is a minimum point around (0.5, 1.5) which is consistent with C.

I've highlighted areas of interest below so hopefully that's helpful :>

The linear function for the total cost C is:

A function is an expression, rule, or law that defines a relationship between one variable.

Example:

\(f(\text{x}) = 2\text{x} + 1\)

\(f(1) = 2 + 1 = 3\)

\(f(2) = 2 \times 2 + 1 = 4 + 1 = 5\)

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The total cost for x cubic yards.

\(\bold{C = 28 + 48x}\)

Thus, the function is C = 28 + 48x.

To know more about functions, visit:

https://brainly.com/question/31062578

The completed table of the functions and inverses can be presented as follows;

1. t(x) → a(x)

2. Q(x) → B(x)

3. G(x) → c(x)

4. f(x) → D(x)

5. y(x) → w(x)

6. e(x) → R(x)

7. U(x) → H(x)

8. P(x) → J(x)

9. m(x) → k(x)

10. S(x) → n(x)

Making x the subject of the given functions to find the inverse gives;

1. a(x) = 2•(x - 6)

Therefore;

x = (a(x)/2) + 6

t(x) = (x/2) + 6

Therefore;

2. G(x) = (1/4)•x²

4•G(x) = x²

x = 2•√(G(x))

3. B(x) = √(x)/4

4•B(x) = √(x)

x = 16•(B(x))²

Q(x) = 16•x²

Therefore;

4. D(x) = (x + 6)/2

x = 2•D(x) - 6

f(x) = 2•x - 6

Therefore;

5. y(x) = (4•x + 2)²

(√(y(x)) - 2)/4 = 4•x

w(x) = (√(x) - 2)/4

Therefore;

6. R(x) = (1/4)•(4•x)²

x = √(4•R(x))/4 = √(R(x))/2

e(x) = √(x)/2

Therefore;

7. H(x) = 2•x + 6

(H(x) - 6)/2 = H(x)/2 - 3

x = H(x)/2 - 3

U(x) = x/2 - 3

Therefore;

8. J(x) = (√(x + 2))/4

x = (4•J(x))² - 2

P(x) = (4•x)² - 2

Therefore;

9. k(x) = x/4 + 3

x = 4•(k(x) - 3) = 4•k(x) - 12

m(x) = 4•x - 12

Therefore;

10. n(x) = 4•(x + 3)

x = n(x)/4 - 3

S(x) = x/4 - 3

Therefore;

Learn more about making a variable the subject of a formula here:

https://brainly.com/question/11000305

#SPJ1

The value of c that satisfies the condition a + b = 10 is 10.

To find the value of c such that the sum of the x- and y-intercepts of any tangent line to the curve √x + √y = √c is equal to 10, we can use the fact that the x-intercept occurs when y = 0, and the y-intercept occurs when x = 0.

First, let's find the x-intercept. When y = 0, we can substitute this value into the equation:

√x + √0 = √c

Simplifying, we have:

√x = √c

Squaring both sides of the equation, we get:

x = c

So, the x-intercept is given by (c, 0).

Next, let's find the y-intercept. When x = 0, we can substitute this value into the equation:

√0 + √y = √c

Simplifying, we have:

√y = √c

Squaring both sides of the equation, we get:

y = c

So, the y-intercept is given by (0, c).

Since we want the sum of the x- and y-intercepts to be equal to 10, we have:

c + 0 = 10

Simplifying, we find:

c = 10

For more such questions on condition visit:

https://brainly.com/question/24020391

#SPJ8

Answer:

6x

Step-by-step explanation:

coefficient is 6

The statement that is true about the function is:

A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

The minimum value of the curve = (1.9, -5.7),

The maximum value = (0, 2)

The point the function crosses the x-axis (the x-intercept) = (-0.7, 0), (0.76, 0), and (2.5, 0)

The point the function crosses the y-axis (the y-intercept) = (0, 2)

The given points can be plotted using MS Excel, from which we have:

F(x) is less than 0 over the interval from x = -∞, to x = -0.7, and the interval from x = 0.76 to x = 2.5.

Hence, the correct option is A.

To know more about the function of a graph, visit:

https://brainly.com/question/32687137

1. Figure STUV is congruent to Figure KLMN because rigid motions can be used to map Figure STUV onto Figure KLMN.

2. Figure STUV is also similar to Figure KLMN because rigid motions and/or dilations can be used to map Figure STUV onto Figure KLMN. The scale factor is 2.

When it is said that two figures are congruent, like the ones shown on the graph, This means that they have the same shape and size.

Similar figures have the same shape, but they may have different sizes and be located in different positions.

Find more exercises on congruent figures;

https://brainly.com/question/29193622

#SPJ1

Answer:

The parabola - quadratic.

Step-by-step explanation:

There is only graph / option in the picture but it is the correct one.  Regardless, whether x is a positive or negative, the y coordinate is going to be a positive number as x^2 will produce a positive.  So as -x^2 will also be positive.

Answer:

a. 0.007 = 0.7% probability that none of the households are turned to nbc Sunday night football

b. 0.993 = 99.3% probability that at least one of the households is turned to nbc Sunday night football.

c. 0.046 = 4.6% probability that at most one of the households is turned to nbc Sunday night football

d. 1 is less than 2.5 standard deviations below the mean, so having at most one people watching shouldn't be considered an unusual outcome, which means that the 22% share values does not appear wrong.

Step-by-step explanation:

For each household, there are only two possible outcomes. Either it is tuned to Sunday Night Football, or it is not. The probability of a household being tuned to Sunday Night Football is independent of any other household. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

22% are turned to that game

This means that \(p = 0.22\)

Sample of 20 households:

This means that \(n = 20\)

a. Find the probability that none of the households are turned to nbc Sunday night football:

This is P(X = 0). So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{20,0}.(0.22)^{0}.(0.78)^{20} = 0.007\)

0.007 = 0.7% probability that none of the households are turned to nbc Sunday night football.

b. Find the probability that at least one of the households is turned to nbc Sunday night football.

This is:

\(P(X \geq 1) = 1 - P(X = 0)\)

Since P(X = 0) = 0.007

\(P(X \geq 1) = 1 - P(X = 0) = 1 - 0.007 = 0.993\)

0.993 = 99.3% probability that at least one of the households is turned to nbc Sunday night football.

c. Find the probability that at most one of the households is turned to nbc Sunday night football (3 digits)

This is

\(P(X \leq 1) = P(X = 0) + P(X = 1)\). So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{20,0}.(0.22)^{0}.(0.78)^{20} = 0.007\)

\(P(X = 1) = C_{20,1}.(0.22)^{1}.(0.78)^{19} = 0.039\)

\(P(X \leq 1) = P(X = 0) + P(X = 1) = 0.007 + 0.039 = 0.046\)

0.046 = 4.6% probability that at most one of the households is turned to nbc Sunday night football.

d. If at most one household is turned to nbc Sunday night football, does it appear that the 22% share value is wrong? Why or why not?

A measure is considered unusually low if it is more than two and a half standard deviations below the mean.

The mean is:

\(E(X) = np = 20*0.22 = 4.4\)

The standard deviation is:

\(\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{20*0.22*0.78} = 1.8526\)

4.4 - 2.5*1.8526 = -0.2.

1 is less than 2.5 standard deviations below the mean, so having at most one people watching shouldn't be considered an unusual outcome, which means that the 22% share values does not appear wrong.

The vertical displacement is of 2 units down, the correct option is B.

Remember that for a function f(x), a vertical displacement of N units is written in general form as:

g(x) = f(x) + N

If N > 0, the translation is upwards.

if N < 0, the translation is downwards.

Here we assume that we start with the parent cosine function:

y = cos(x)

And the transformed function is:

y = -2 - cos(x - π)

So we have some transformations, but the vertical translation is of 2 units down. So the correct option is B.

Learn more about translations at:

https://brainly.com/question/24850937

#SPJ1

Answer:

130 degrees

Step-by-step explanation:

DE+DA=130

The composite function g(f(x)) is equivalent to 10x^2 - 1

This are also referred to as function of a function. Given the following functions;

f(x) = 2x^2 - 5

g(x) = 5x + 7

In order to determine the composite function g(f(x))

g(f(x)) = g(2x^2 - 5)

Replace x with 2x^2 - 5 in g(x) to have;

g(f(x)) = 5(2x^2 - 5) + 7

g(f(x)) = 10x^2 - 18

Hence the composite function g(f(x)) is equivalent to 10x^2 - 1

Learn more on composite function here: https://brainly.com/question/10687170

#SPJ1

Answer:

$143.33

Step-by-step explanation:

well 14.7% of 975 is 143.33 so I'm pretty sure thats the answer

The unknown angle measures are d = 76, c = 53, a = 51 and b = 76

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

The lines

The sum of angles on a line is 180

So, we have

b = 180 - 51 - 53

b = 76

By vertical angle theorems, we have

d = 76

c = 53

a = 51

Read more about angles at

https://brainly.com/question/31898235

#SPJ1

Vertex: (1, -36); intercepts: x = 7, -5 (option D)

Given:

To find:

the vertex and the x-intercepts

i) Vertex is given as (h, k). To determine the vertex, we will apply the formula:

Vertex (h, k): (1, -36)

ii) x-intercept is the value of x when y = 0. To determine x-intercept, we will substitute y with 0. Then solve for x

The two triangles exist congruent if they contain two congruent corresponding sides and their contained angles exist congruent.

Let \($&\overline{A B} \cong \overline{D E} \\\) and \($&\overline{A C} \cong \overline{D F}\)

Angle between \($\overline{A B}$\) and \($\overline{A C}$\) exists \($\angle A$\).

Angle between \($\overline{D E}$\) and \($\overline{D F}$\) exists \($\angle D$\).

Therefore, \($\triangle A B C \cong \triangle D E F$\) by SAS, if \($\angle A \cong \angle D$$\).

Given:

\($&\overline{A B} \cong \overline{D E} \\\) and

\($&\overline{A C} \cong \overline{D F}\)

According to the SAS congruence property, two triangles exist congruent if they contain two congruent corresponding sides and their contained angles exist congruent.

Let \($&\overline{A B} \cong \overline{D E} \\\) and \($&\overline{A C} \cong \overline{D F}\)

Angle between \($\overline{A B}$\) and \($\overline{A C}$\) exists \($\angle A$\).

Angle between \($\overline{D E}$\) and \($\overline{D F}$\) exists \($\angle D$\).

Therefore, \($\triangle A B C \cong \triangle D E F$\) by SAS, if \($\angle A \cong \angle D$$\).

To learn more about SAS congruence property refer to:

https://brainly.com/question/19807547

#SPJ9