Angie has a square dog pen with a perimeter of 20 meters. She wants to put a diagonal piece of fencing inside her pen to cut it in half because her 2 dogs have been fighting. How long of a piece of fencing will she need to buy? Hint: The formula for finding the hypotenuse of a right triangle is: a² + b² = c²

x is equal to 125°  in the triangle

The figure given here is a triangle. And we know that the sum of the angles in a triangle is 180°. So we can apply this concept by writing the expression below:

x + 25° + 30° = 180°

x + 55° = 180°

x = 180° - 55°

x = 125°

Therefore, the value of x is 125°. So x is equal to 125°

Learn more about angles in a triangle on:

https://brainly.com/question/25215131

#SPJ1

㏒₅x in Natural logarithm is \(\frac{lnx}{ln5}\).

The base-e logarithm of an integer x, where e is a mathematical constant roughly equal to 2.718, is the natural logarithm of that number. Instead of the expected abbreviated notation ㏒ex, it is typically written using ㏑x. A natural logarithm can be expressed in exponential form as follows:

㏑x=a⇒\(x=e^a\)

Natural logarithm, is like a normal logarithm it follows all the basic algebraic laws, like addition, subtraction, multiplication of logarithms.

The natural logarithm follows the same as common logarithms of base 10. That is, \(ln (ab) = ln a + ln b\); \(ln (\frac{a}{b} ) = lna-lnb\);  The natural logarithm and the common logarithm are related through

㏒₅x=\(\frac{logx}{log5}\);

\(\frac{logx}{log5} *\frac{lne}{lne} ;\\\frac{logx}{lne} *\frac{lne}{log5} ;\\\)

㏑x×(\(\frac{1}{ln5}\));

⇒\(\frac{lnx}{ln5}\).

㏒₅x in Natural logarithm is \(\frac{lnx}{ln5}\).

To refer more about Natural logarithms, visit:

https://brainly.com/question/29373904

#SPJ1

According to the information, we can infer that the number of ounces of water, x, that Will could have put in each cup is 8 ounces.

Will initially had a cooler filled with 144 ounces of water. After using 16 ounces to fill his water bottle, there were 144 - 16 = 128 ounces of water remaining in the cooler.

Will then took out 16 plastic cups for his teammates. Since the same amount of water was put in each cup, the remaining amount of water, 128 ounces, needs to be divided equally among the cups.

Dividing 128 ounces by 16 cups gives us 8 ounces of water for each cup.

So, Will could have put 8 ounces of water in each cup.

Learn more about water in: https://brainly.com/question/28465561
#SPJ1

The unemployment rate and the labor force of New Zombie is 5,657,142 and 39.49% respectively.

Population eligible to be a part of the labor force:

Self-employed people + People who are jobless, actively looking for a job, and available for work =

= 3,423,042 + 2,234,100

Labor Force = 5,657,142

We know that the unemployment rate =

(People who are jobless, actively looking for a job, and available for work / Labor force) x 100,

therefore, we get the value: (2,234,100 / 5,657,142) x 100,

therefore, we get the percentage:

Unemployment rate = 39.49%

We need to keep in mind that the military personnel, housewives, elderly, people below 16 years, those who haven't looked for a job in the last 4 weeks and volunteers are excluded from the labor force.

To learn more about percentage, click here:

brainly.com/question/29306119

#SPJ4

The Interstate 90 freeway in the US is (D) 123.9 miles.

Therefore, the Interstate 90 freeway in the US is (D) 123.9 miles.

Know more about freeway's here:

https://brainly.com/question/1474803

#SPJ4

Correct question:

i-90 is the longest freeway in the us, stretching from Seattle to Boston. how many miles is it?

a. 248.1

b. 302.1

c. 437.1

d. 123.9

(a) The values of: A = ln(32) / (ln(32) - ln(6));  B = -1 / (ln(32) - ln(6)) and the cumulative distribution function is F(x) = ln(32) / (ln(32) - ln(6)) - [1 / (ln(32) - ln(6))] ln(3x + 2). (b) The probability is 0.102. (c) The probability density function is only defined on the interval [0, 10].

(a) Since F(x) is a cumulative distribution function, we have:

lim x→0 F(x) = 0                            

lim x→10 F(x) = 1                          

Using these limits:

lim x→0 F(x) = A + B ln(3x + 2) = 0

A = -B ln(6)

lim x→10 F(x) = A + B ln(3x + 2) = 1

A + B ln(32) = 1

-B ln(6) + B ln(32) = 1 - A

B = -1 / (ln(32) - ln(6))

A = -B ln(6) = ln(32) / (ln(32) - ln(6))

The cumulative distribution function is:

F(x) = ln(32) / (ln(32) - ln(6)) - [1 / (ln(32) - ln(6))] ln(3x + 2)

(b) The probability that a repair job takes longer than two hours is:

P(X > 2) = 1 - P(X ≤ 2) = 1 - F(2) = 1 - ln(32) / (ln(32) - ln(6)) + [1 / (ln(32) - ln(6))] ln(8)

≈ 0.102

(c) To find the probability density function f(x), we differentiate F(x):

f(x) = d/dx F(x) = [3 / ((3x + 2) ln(2))] / (ln(32) - ln(6))

The function is only defined on the interval [0, 10]. The  graph of f(x) is decreasing on [0, 2] and increasing on [2, 10].

Know more about probability here:

https://brainly.com/question/13604758

#SPJ11

Answer:

a,c,d

Step-by-step explanation:

yea

The set of a number is the list of possible values the number can take. The set of -4 are:

The number is given as -4

Analyze each option as follows

A. Natural numbers are whole numbers greater than 0.  

-4 is less than 0; this means -4 is not a natural number

B. Real numbers is the totality of all numbers.

This means that -4 is a real number

C. Whole numbers are non-negative numbers without decimal point.

-4 is negative; this means -4 is not a whole number

D. Rational numbers are numbers that can be expressed as a fraction

-4 can be expressed as a fraction. e.g. \(-\frac{8}{2} = -4\)

This means that -4 is a rational number

E. If a number is rational, then the number cannot be irrational. This means that -4 is not irrational.

F. Integers are numbers without decimal point.

-4 has no decimal point. This means that -4 is an integer.

Hence, the following options are true.

B. real numbers  D. rational numbers  and F. integers

Learn more about numbers at:

https://brainly.com/question/18114925

Answer:

the first one is 14

the second one is -14 (NEGATIVE not positive)

the third one is 67

Step-by-step explanation:

IM A F*U*C*K*I*N*G GENIUS

lm.ao

Answer:

I don't know how to explain the law in English, so hope u understand

Answer:

c

Step-by-step explanation:

Too lazy to format so here

R = 20D =

R = 20(6) =

120 = 20(6)

r = 120 = the days it cost to rent bike

so expensive

Answer:

R = 20D =

R = 20(6) =

120 = 20(6)

r = 120 = the days it cost to rent bike

so expensive

Step-by-step explanation:

there you go

In the congruent triangles both triangle are same . In this triangle 2.3.3 congruent triangle image given below to understand better.

According to the question, given that

2.3.3 congruent triangle under congruence triangle are explain:

Both triangles are said to be congruent if the three angles and three sides of one triangle match the corresponding angles and sides of the other triangle. We can see from the examples PQR and XYZ that PQ = XY, PR = XZ, and QR = YZ, and thus P = X, Q = Y, and R = Z. Then, we can state that XYZ and PQR.

To be congruent, the two triangles must be the same size and shape. It is necessary for both triangles to be superimposed on one another. A triangle appears to be in a different place or have a different look as we rotate, reflect, and/or translate it.

Two triangles must meet five requirements in order to be congruent. The congruence properties are SSS, SAS, ASA, AAS, and RHS.

SSS Congruence Criteria

Side-Side-Side criterion is referred to as the SSS criterion. According to this standard, two triangles are congruent if their respective triangles' three sides are equal to one another.

The three angles of BAC must be identical to the corresponding angles of XYZ if, according to the SSS condition, BAC XYZ.

SAS Congruence Criteria

Side-Angle-Side criterion is referred to as the SAS criterion. According to this standard, two triangles are said to be congruent if their matching sides and included angles are the same on each side of each other.

The third side (AB) and the other two angles of ABC must be identical to the equivalent side (XY) and the angles of XYZ if ABC XYZ under the SAS condition.

ASA Congruence Criteria

Angle-Side-Angle criterion is also known as ASA criterion. According to the ASA criterion, two triangles are congruent if any two of their included sides and related angles are equivalent in size to those of the other triangle.

AAS Congruence Criteria

Angle-Angle-Side criterion is also known as the AAS criterion. Two triangles are said to be congruent according to the AAS criterion if any two angles and the non-included side of one triangle match the corresponding angles and side of the second triangle.

RHS Congruence Criteria

Right angle-hypotenuse-side congruence is referred to as the RHS criterion. If the hypotenuse and side of one right-angled triangle are equal to the hypotenuse and the corresponding side of another right-angled triangle, then two triangles are said to be congruent according to this criterion.

To learn more about congruent triangle visit here : brainly.com/question/22062407

#SPJ1

Step-by-step explanation:

As a mixed fraction:

.08 is 8/100.

\(4 \frac{8}{100} \)

As an improper fraction:

\( \frac{(100 \times 4) + 8}{100} \)

\( \frac{408}{100} \)

Simplify by dividing the numerator by the greater common factor of 408 and 100, 4.

\( \frac{102}{25} \)

Answer: To simplify the expression (x-2)^3 + 4, we can expand the cube and combine like terms. Here's the step-by-step transformation:

Step 1: Expand the cube

(x-2)^3 = (x-2)(x-2)(x-2)

= (x^2 - 4x + 4)(x-2)

= x^3 - 2x^2 - 4x^2 + 8x + 4x - 8

= x^3 - 6x^2 + 12x - 8

Step 2: Add 4

(x-2)^3 + 4 = x^3 - 6x^2 + 12x - 8 + 4

= x^3 - 6x^2 + 12x - 4

Therefore, the transformation of (x-2)^3 + 4 is x^3 - 6x^2 + 12x - 4.

Step-by-step explanation:

Answer:

184ft

Explanation:

To be able to determine the length of the string, we have to find the length of the hypotenuse side of the triangle.

Let the length of the hypotenuse be x.

To find x, we have to take the cosine of angle 57;

Answer:

B for Khan Academy.

Step-by-step explanation:

Answer:

The answer is B for Khan Academy

Step-by-step explanation:

I just got it right.

Answer: 15.678

Step-by-step explanation:

when a question says product it means you multiply the numbers by eachother. So you just plug it into the calculator!

If the P value in a statistical test of hypotheses is more than, we may claim that the data are statistically significant at level. Less than is the P-value. =0.05 .

An assumption is said to as a hypothesis when it is supported by evidence. Any investigation that turns the research questions into predictions must start here. Variables, the population, and the relationships between the variables are among its constituent parts. A hypothesis used to examine the link between two or more variables is known as a research hypothesis.

One dependent variable and one independent variable are shown to be related. For instance, eating more vegetables will help you lose weight more quickly. In this scenario, increasing your vegetable intake is an independent variable, while weight loss is the dependent variable.

It makes a claim that conflicts with the premise. There is no connection between the independent and dependent variables, which is a negative assertion. The emblem stands for.

Hence, If the P value in a statistical test of hypotheses is more than, we may claim that the data are statistically significant at level. Less than is the P-value. =0.05 .

learn more about hypothesis click here:

https://brainly.com/question/606806

#SPJ4

Answer:

you are crazy

Step-by-step explanation:

that is a whole assignment

Answer:

Data A - 5

Data B - 5

Data C - 5

Data D - 6

Step-by-step explanation:

Data A,

Graph for the data shows that there is a distinct value of y (output value) for every input value of x.

Therefore, Data A is a function.

Data B,

Each ordered pair shows exactly one output value for each input value.

Therefore, Data B represents a function.

Data C,

For each input value there is exactly one output value.

Therefore, Data C represents a function.

Data D,

From the given table,

For x = -1 there are two output values y = 27, 39

For x = -2 output values are y = 45, 21

Since for these input values there are two output values, Data D will not be a function.

Start by drawing a clear diagram representing the energy stores and pathways in the given scenario.

Identify the different energy stores involved. These may include kinetic energy, thermal energy, chemical energy, gravitational potential energy, etc.

Label each energy store with the appropriate name, such as "KE" for kinetic energy or "PE" for potential energy.

Determine the energy pathways between the stores. For example, if a moving object is slowing down due to friction, indicate the transfer of kinetic energy to thermal energy.

Label the pathways with arrows and use appropriate labels, such as "kinetic energy transferred to thermal energy" or "chemical energy converted to kinetic energy."

Remember to consider the specific context of the question and accurately represent the energy transfers and transformations occurring in the system.

If you have any specific questions or need further assistance with a particular scenario, please provide the details, and I'll be glad to assist you further.

For such more question on potential energy

https://brainly.com/question/14427111

#SPJ8

Answer: seven continents

Step-by-step explanation:

Asia, Africa, North America, South America, Antarctica, Europe, and Australia

Answer:

-3/2

Step-by-step explanation:

Can I get brainliest

Answer:

A. X+6=6x

X+6=6(x)

Step-by-step explanation:

B. 3+6=3×6

9=18

Answer:

24

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

7^2 + b^2 = 25^2

49 + b^2 = 625

Now we subtract :)

625 - 49 = 576

Now we have to find the square root to solve the problem :)

\(\sqrt{576}\) = 24

Now you know how to solve this type of problem!!

Have a great day!!

Please rate and mark brainliest!!

The absolute maximum value of f(x)=2x³ +3x² +1 on the closed interval [-3, 1] is 6, which occurs at x=1.

To find the absolute maximum value of the function f(x) on the closed interval [-3, 1], we need to evaluate the function at the endpoints of the interval and at any critical points in the interior of the interval.

First, we evaluate the function at the endpoints of the interval

f(-3) = 2(-3)³ + 3(-3)² + 1 = -17

f(1) = 2(1)³ + 3(1)² + 1 = 6

Next, we find the critical points of the function f(x) by taking its derivative and setting it equal to zero

f'(x) = 6x² + 6x

6x(x+1) = 0

x = 0 or x = -1

Now we evaluate the function at these critical points

f(0) = 1

f(-1) = 2(-1)³ + 3(-1)² + 1 = 2

Therefore, the absolute maximum value of f(x) on the closed interval [-3, 1] is 6, which occurs at x=1.

Learn more about absolute maximum value here

brainly.com/question/29449130

#SPJ4

The given question is incomplete, the complete question is:

Let f be the function given by f(x)=2x³ +3x² +1. What is the absolute maximum value of f on the closed interval [-3,1] ?

Answer:

(b) and (c)

Step-by-step explanation:

When the equation of a line is given in slope-intercept form (\(y=mx+b\)), m represents the slope of the line and b represents the y-intercept. As we can see, the two lines given have the same slope (-3), but different y-intercepts (the first line has a y-intercept of 4 and the second line has a y-intercept of -11).

Since the slopes of the two lines are the same, they will be parallel, and since their y-intercepts are different, they will not be the same line. Therefore, the two lines will not intersect (a solution to the system is any point where the two lines do intersect), and there is no solution to the system.

As a general rule: