What is the measure of DF?

Answer:

25.8°

Step-by-step explanation:

The wall is vertical so it makes 90°  with the ground.

The ladder forms a right triangle of base = 45 ft and hypotenuse = 50 ft

To find the angle (x) the ladder makes with the ground:

Cos x = [tex]\frac{45}{50}[/tex] = 0.9

[tex]Cos^{-1}[/tex] 0.9 = 25.8° (answer rounded up to nearest tenth)

The angle that the bottom of the ladder makes with the ground in a scenario where a 50ft ladder is leaning against a wall, with the base of the ladder being 45ft from the base of the wall, can be found using basic trigonometry. By using the cosine law, we find that the angle is approximately 25.84 degrees.

To find the angle the bottom of the ladder makes with the ground, we can use basic trigonometry. In this situation, we have a right-angled triangle formed by the wall, the ground, and the ladder, and we are given that the adjacent side (base of the ladder in relation to the vertical wall) is 45 feet and the hypotenuse (the ladder) is 50 feet.

Using the cosine law, the cosine of the angle is equal to the adjacent side divided by the hypotenuse, so:

cosine(Angle) = Adjacent/hypotenuse = 45ft/50ft = 0.9.

Now, we just need to find the inverse cosine (or acos) of 0.9 to find our angle:

Angle = acos(0.9) = 25.84 degrees approximately.

So, the angle that the bottom of the ladder makes with the ground is approximately 25.84 degrees. This result is independent of the length of the ladder.

https://brainly.com/question/31896723

#SPJ3

Answer:

C

Step-by-step explanation:

Given

[tex]\frac{5x^2+8x+7}{4x}[/tex]

Divide each term on the numerator by 4x

= [tex]\frac{5x^2}{4x}[/tex] + [tex]\frac{8x}{4x}[/tex] + [tex]\frac{7}{4x}[/tex]

= [tex]\frac{5x}{4}[/tex] + 2 + [tex]\frac{7}{4x}[/tex]

Answer:

x =[tex]\frac{1}{8}[/tex]

Step-by-step explanation:

[tex]\frac{3}{8}-x=[tex]\frac{1}{4}[/tex]

⇒ Minus [tex]\frac{3}{8}[/tex] from both sides

- x =[tex]-\frac{1}{8}[/tex]

⇒ Multiply both sides by -1 to get rid of negative

x =[tex]\frac{1}{8}[/tex]

Answer:

x = 1/8.

Step-by-step explanation:

3/8 - x = 1/4

Subtract 3/8 from both sides:

- x = 1/4 - 3/8

-x = 2/8 - 3/8

-x = -1/8

Divide both sides by -1:

x = 1/8.

Answer: Option A and Option D

Step-by-step explanation:

By definition the general equation of a circle has the following form

[tex](x-h)^2+ (y-k)^2=r^2[/tex]

Where r is the radius and the point (h, k) is the center of the circle

All points that are on the x axis have the following form:

(h, 0)

Therefore all the circles that have their centers on the x axis will have a value of k = 0.

Identify among the options all those equations that have a value of k = 0

The circles that have their center on the x axis are option A and option D

Answer:

1/5

Step-by-step explanation:

There are 10 marbles and two white marbles.

make a probability.

2/10

simplify= 1/5

Answer:

[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

i had the same problem on acellus and 1/5 was the right answer for me not 4/5

-2 to -1 is the correct answer

Answer:

answer : c    ( x = 1  , y = -1 , z = 1)

Step-by-step explanation:

put   x = 1  , y = -1 , z = 1

in this equations :

3(1)+3(-1)+6(1)=6 ........ 6=6 right

3(1)+2(-1)+4(1)=5 .....5=5  right

7(1)+3(-1)+3(1)=7......7=7  right

[tex]\frac{-3}{8}[/tex] ÷[tex]\frac{-1}{3}[/tex]

When dividing fractions these are the steps you will take:

1. The first number in the expression stays the same  

[tex]\frac{-3}{8}[/tex] ÷[tex]\frac{-1}{3}[/tex]

2. Change the division sign into a multiplication sign

[tex]\frac{-3}{8}[/tex] × [tex]\frac{-1}{3}[/tex]

3. Take the reciprocal (switch the places of numerator and denominator) of the second number in the expression

[tex]\frac{-3}{8}[/tex] × [tex]\frac{-3}{1}[/tex]

4. Multiply across

[tex]\frac{-3*-3}{8*1}[/tex]

[tex]\frac{9}{8}[/tex]

Hope this helped!

~Just a girl in love with Shawn Mendes

Final answer:

The quotient of -3/8 and negative 1/3 is 9/8. To get this result, multiply the first fraction by the reciprocal of the second fraction, and since both fractions are negative, the result is positive.

Explanation:

The question asks about the quotient when dividing two negative fractions, specifically -3/8 and negative 1/3. When dividing fractions, the rule is to multiply the first fraction by the reciprocal of the second fraction. Also, when dividing two negative numbers, the result is positive because a negative divided by a negative equals a positive.

To find the reciprocal of negative 1/3, we flip the numerator and denominator to get -3/1, which is -3. Then we keep the first fraction, change division to multiplication, and multiply by the reciprocal of the second fraction:

-3/8 × -3 (which is the reciprocal of negative 1/3)

When we multiply these, the negative signs cancel out and we get 3/8 × 3/1 = 9/8

Therefore, the quotient of -3/8 and negative 1/3 is 9/8, which is a positive number because the negatives cancel each other out as per the multiplication rules for signs.

Answer:

x = - 2, x = 6

Step-by-step explanation:

The denominator of the rational expression cannot be zero as this would make the expression undefined.

Equating the denominator to zero and solving gives the values that x cannot be.

Solve

- 3x² + 12x + 36 = 0 ( divide through by - 3 )

x² - 4x - 12 = 0 ← in standard form

(x - 6)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 6 = 0 ⇒ x = 6

x + 2 = 0 ⇒ x = - 2

x = - 2 and x = 6 ← are the excluded values

Answer:

x<48.83778966 :) have a great day!

Step-by-step explanation:

Answer:  The required solution is x < 48.837.

Step-by-step explanation:  We are given to solve the following inequality for the value of x :

[tex]11.22x-200<347.96~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

To solve the above inequality, we need to take all the constant terms on one side and the term involving unknown variable on the other.

The solution of inequality (i) is as follows :

[tex]11.22x-200<347.96\\\\\Rightarrow 11.22x<347.96+200\\\\\Rightarrow 11.22x<547.96\\\\\Rightarrow x<\dfrac{547.96}{11.22}\\\\\Rightarrow 48.837.[/tex]

Thus, the required solution is x < 48.837.

Answer:

78 points

Step-by-step explanation:

Let x = sum of the 10 scores

x/10 = 67

x /10 *10 = 67* 10 = 670

The sum of the 10 scores is 670

Now we play 1 more game and score g

We want to find the average  for the 11 games

The average is 68

(670 + g)/11 = 68

Multiply each side by 11

(670+g)/11 *11 = 68*11

670+g =748

Subtract 670 from each side

670+g-670 = 748-670

g =78

Answer:

y = 5

Step-by-step explanation:

7(y + 2) – (4y – 10) = 44 – 2y + 5

(7y+14) - (4y - 10) = 49 -2y

3y +24 = 49 -2y

5y +24 = 49

5y = 25

y = 5

To solve the equation 7(y + 2) – (4y – 10) = 44 – 2y + 5, distribute and combine like terms to simplify both sides of the equation. Isolate the variable y on one side of the equation by performing inverse operations. The solution to the equation is y = 3.

To solve the equation 7(y + 2) – (4y – 10) = 44 – 2y + 5, we need to simplify both sides by distributing and combining like terms. Starting with the left side, we distribute 7 to both y and 2 to get 7y + 14. Then, distribute -1 to both 4y and -10 to get -4y + 10. Combining like terms, we have 7y + 14 - 4y + 10 = 44 - 2y + 5. Simplifying further gives us 3y + 24 = 39 - 2y. To isolate the variable y, we need to get all the y terms on one side. Adding 2y to both sides gives us 5y + 24 = 39. Finally, subtracting 24 from both sides yields 5y = 15. Dividing both sides by 5 gives us y = 3. Therefore, the solution to the equation is y = 3.

https://brainly.com/question/19297665

#SPJ3

Answer:

radius is perpendicular to the chord

The radius of a circle that bisects a chord is perpendicular to that chord.

If a radius of a circle bisects a chord, then it is perpendicular to that chord. By definition, the radius that bisects the chord also bisects the angle at the center of the circle which subtends the chord. This is a direct consequence of a theorem in geometry which states that in a circle, the radius that bisects an angle at the centre is perpendicular to the chord which subtends the angle and bisects the chord itself. This perpendicularity is an important property as it asserts that the bisector of the chord is the shortest path from the circle's center to the chord and it cuts the chord into two equal segments, thus verifying the right angle formed between the radius and the chord.

Answer:

Exponential

Step-by-step explanation:

As the x value is increasing by 1, the Y value is multiplying by 3. Since the value is increasing rapidly from 3 to 9 to 27 to 81 to 243, this is an exponential function.

The type of function which  is represented by the table of values below is:

                               B. Exponential

We are given a table of values as:

              x                 y

              1                  3

              2                 9

              3                 27

              4                 81

              5                 243  

We can model this equation by the formula:

[tex]y=3^x[/tex]

Since, when x=1 we have:

[tex]y=3^1\\\\i.e.\\\\y=3[/tex]

when x=2 we have:

[tex]y=3^2\\\\i.e.\\\\y=9[/tex]

when x=3 we have:

[tex]y=3^3\\\\i.e.\\\\y=27[/tex]

and so on.

Hence, the function is exponential.

          i.e.  [tex]y=3^x[/tex]

Answer:

Stanley factored it correctly.

Step-by-step explanation:

[tex]11x^3y^5[/tex]

We are given that Marie and Staley factored the above expression as follows and we are to determine who factored it correctly:

Marie: [tex]11x^3y^5[/tex] ---> [tex](8x^3)(3y^5)[/tex]

[tex](8x^3)(3y^5)[/tex] = [tex]24x^3y^3[/tex] so this is wrong.

Stanley: [tex]11x^3y^5[/tex] ---> [tex](11xy)(x^2y^4)[/tex]

[tex] ( 1 1 x y ) ( x ^ 2 y ^ 4 ) [/tex] = [tex] 1 1 x ^ 3 y ^ 5 [/tex]

Therefore, Stanley factored it correctly.

The key aspect of a function's graph in Mathematics is its ability to visually illustrate relationships, patterns, and comparisons. Different types of graphs, like line, bar, and pie, provide different ways to interpret the data. Understanding these graphs helps in mathematical analysis and solving problems.

The question involves analyzing functions' graphs and matching them with their meanings. In Mathematics, a function's graph can represent different types of information based on its structure. For example, a line graph signifies a linear relationship between two variables denoted on the horizontal and vertical axis. The height of the curve at any point on the graph represents the value of the function at that point.

Three distinct types of graphs are the line, bar, and pie graph. A line graph shows the relationship between two variables with one variable being represented on the horizontal axis and the other on the vertical axis. A bar graph utilises the height of the bars to signify a relationship, with each bar representing a distinct entity like a group of people or a country. A pie graph is used to show how something is distributed, with each slice representing the corresponding percentage of the whole.

Deciphering this information from a graph includes recognizing patterns, comparisons, and trends, providing an intuitive sense of relationships in the data.

https://brainly.com/question/40116062

#SPJ12

Here are the matches: f(x) > 0: Intervals of the domain where the graph is above the x-axis. f(x) < 0: Intervals of the domain where the graph is below the x-axis. Y-intercept: Location on the graph where the output is zero. X-intercept: Location on the graph where the input is zero.

In a function f(x), when f(x) > 0, it indicates the intervals on the domain where the function's values are positive, corresponding to regions above the x-axis. Conversely, when f(x) < 0, it denotes intervals where the function's values are negative, representing areas below the x-axis.

The y-intercept is the point where the graph intersects the y-axis, highlighting where the output (function value) is zero. On the other hand, the x-intercept is where the graph crosses the x-axis, signifying the point where the input (x-value) is zero, resulting in a zero output. These aspects provide valuable insights into a function's behavior and characteristics.

For more questions on domain :

https://brainly.com/question/30096754

#SPJ6

Answer:

A  viable solution is the ordered pair (0,0)

Step-by-step explanation:

we know that

The number of books cannot be a negative number

The number of books is a positive integer

The weight cannot be a negative number

therefore

A  viable solution is the ordered pair (0,0)

Answer:

The third option

Step-by-step explanation:

Trust me ;) I got it right

Answer: First option, Second option, Third option  and Fourth option.

Step-by-step explanation:

You need to substitute each point into the inequality:

1) Point (-2,-5):

[tex]y > 2x - 4\\\\-5 > 2(-2) - 4\\\\-5>-8\ (This\ is\ true)[/tex]

 2) Point (0,4):

[tex]y > 2x - 4\\\\4 > 2(0) - 4\\\\4>-4\ (This\ is\ true)[/tex]

3) Point (1,1):

[tex]y > 2x - 4\\\\1 > 2(1) - 4\\\\1>-2\ (This\ is\ true)[/tex]

4) Point (3,5):

[tex]y > 2x - 4\\\\5 > 2(3) - 4\\\\5>2\ (This\ is\ true)[/tex]

5) Point (5,5)​:

[tex]y > 2x - 4\\\\5 > 2(5) - 4\\\\5>6\ (This\ is\ not\ true)[/tex]

Answer:1st 3rd and 4th

Step-by-step explanation:

Hope I helped

Answer:

[tex]\frac{(k+5)}{12(k+2)}[/tex]

Step-by-step explanation:

We need to perform the folowing operation:

[tex]\frac{k^{2} + 3k - 10 }{36}[/tex] × [tex]\frac{3}{k^{2} -4 }[/tex]

Factorizing we have:

[tex]\frac{(k-2)(k+5)}{36}[/tex]  × [tex]\frac{3}{(k+2)(k-2)}[/tex]

Simplifying, we get:

[tex]\frac{(k+5)}{12(k+2)}[/tex]

Answer:

90° counter clockwise rotation of point 0(x, y) about origin = (-y, x)

Step-by-step explanation:

Following are the rules for a counter clockwise rotation of 90 degrees about the origin for a point O(x,y):

1. Invert the sign of the value of y.

2. Switch x and y with each other.

For example, a point A(5,2) after rotation gives a point B(-2,5) using the rules given above. The points on the x-y plane are shown in the image attached.

Answer:

[tex]\frac{(6p+14)}{p}[/tex]

Step-by-step explanation:

[tex](p+\frac{7}{3})(\frac{6}{p})[/tex]

Making denominator same in first bracket we get

[tex](\frac{3p+7}{3})(\frac{6}{p})[/tex]

[tex](\frac{(3p+7)*6}{3*p})[/tex]

Dividing 6 by 3 we get 2

[tex](\frac{(3p+7)*2}{p})[/tex]

using distributive law

[tex](\frac{6p+14}{p})\\[/tex]

Hence this is our answer

Answer:

Option d. 2p +  [tex]\frac{14}{p}[/tex]

Step-by-step explanation:

We have to find the expression equivalent to the product of ( P + [tex]\frac{7}{3}[/tex]) and (  [tex]\frac{6}{p}[/tex] ) where p ≠ 0

( p +  [tex]\frac{7}{3}[/tex] ) × (  [tex]\frac{6}{p}[/tex] )

= p (  [tex]\frac{6}{p}[/tex] ) + (  [tex]\frac{7}{3}[/tex] ) ( [tex]\frac{6}{p}[/tex] ) [distributive law]

= 6 + ( [tex]\frac{14}{p}[/tex] )

=  [tex]\frac{(6p+14)}{p}[/tex]

Therefore, option D is the answer.

Answer:

25

Step-by-step explanation:

Just square root 625.  

Please mark for Brainliest!! :D Thanks!!

For more questions or more information, please comment below!

The vertical asymptotes of the function is the point where the denominator of the function is zero. The vertical asymptote of the function is x = 3

Given the function expressed as:

f(x) = 6/x - 3

The vertical asymptotes of the function is the point where the denominator of the function is zero

x - 3 = 0

x = 0 + 3

x = 3

Hence the vertical asymptote of the function is x = 3

Learn more on asymptotes here: https://brainly.com/question/4138300

#SPJ2

ANSWER

The correct answer is D

EXPLANATION

According to the Rational Roots Theorem, the possible rational roots are all the factors of the constant term expressed over the factors of the leading coefficient of the polynomial function.

Based on this we conclude that,

[tex] - \frac{ 2}{5} [/tex]

is a potential rational root of

[tex]f(x) = 25 {x}^{4} - 7 {x}^{2} + x + 4[/tex]

The reason is that the numerator of this rational root is a factor of 4 and the denominator is a factor of 25.

Answer: the correct answer is D

Answer:

(fog)(-3) = 125

Step-by-step explanation:

So, we need to first evaluate g(-3) and then plug the value of g(-3) into f(x) to find (fog)(-3). So, let's do that:

[tex]g(-3) = -3-2 = -5[/tex]

[tex]f(g(-3)) = f(-5) = 5(-5)^2 = 5(25) = 125[/tex]

Thus, (fog)(-3) = 125.

Answer:

In my opinion the answer is y = 6

Step-by-step explanation:

We have two unknowns from the equation therefore, two equations are needed. These equations are:

3x + y = 9  

y = –4x +10  

To solve for y, we first substitute the second equation to the first one.

3x + –4x +10= 9  

x = 1

We substitute the value of x to either of the equations and solve for y.

y = –4(1) +10  

y = 6

Answer:

y=6

Step-by-step explanation:

[tex]3x + y = 9[/tex]

[tex]y = -4x + 10[/tex]

Substitute the value of y in the first equation:

[tex]3x + (-4x + 10) = 9[/tex]

Apply the subtraction property of equality:

[tex]-x + 10 = 9[/tex]

[tex]-x=-1[/tex]

x=1

Substitute 1 for x in the given y equation

[tex]y = -4x + 10[/tex]

[tex]y = -4(1)+ 10[/tex]

y=6

Answer:

The answer is C

Step-by-step explanation:

The correct option is c.

The following information should be considered:

Learn more: https://brainly.com/question/10046743?referrer=searchResults

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

Explanation:

If we had a pit stop every 1 mile, then we would have 36 pit stops. Note how 36/1 = 36.

If we had a pit stop every 2 miles, then we would have 18 pit stops because 36/2 = 18

If we had a pit stop every 3 miles, then we would have 12 pit stops because 36/3 = 12

And so on.

As you can see, we divide the total length 36 over the number of miles between pit stops. This applies even to fractions as well

Divide 36 over 4/6 to get

[tex]36 \div \frac{4}{6} = 36 \times \frac{6}{4} = 36 \times 1.5 = 54[/tex]

Recall that when you divide by a fraction, you flip the second fraction and multiply. The action of "flipping" is known as applying the reciprocal.

So this means there are 54 pit stops in total.

An alternative method to get the answer is to note that 4/6 = 0.66666667 approximately, and 36/0.66666667 = 53.99999973 which is very close to 54 that we got above. The reason why its not exactly 54 is because of rounding error. The more decimal digits you use, the more accurate the result will be.

Answer:

The cost of one ticket is $9

Step-by-step explanation:

we have

4x+12=48

where

x represents the cost of a ticket

Solve for x

Subtract 12 both sides

4x=48-12

4x=36

Divide by 4 both sides

x=36/4=9

therefore

The cost of one ticket is $9