A ladder is 8 m long. It leans against a wall with one end on the ground 6 m from the wall.
How far up the wall does the ladder reach? Draw a diagram and show your work. Round your
answer to the nearest tenth.

Answers

Answer 1

Answer:

5.3 m

Step-by-step explanation:

Given these values, we can draw a picture of the situation and it will form a right triangle: the hypotenuse is the ladder and the distance from the end of the ladder to the wall is the long leg.

Now, we need to find the short leg using the pythagorean theorem:

a² + b² = c²

6² + b² = 8²

36 + b² = 64

b² = 28

b = 5.3


Related Questions

Question 13 PLEASE HELP Find the x-intercept of -x +2y =6. X-intercept: (___,0)

Answers

Answer:

(-6,0)

Step-by-step explanation:

The x intercept is when y = 0.

So, -x +2(0) = 6

-x = 6

x = -6

ANSWER.......(-6,0)

Please can someone help I have tried many times

Answers

Answer:

My answer is in the attached picture

Step-by-step explanation:

Enlarged by a scale of 2 using P as the centre of enlangment.

Answer:

Step-by-step explanation:

All you should do is to draw lines that conect each node of the triangle with the center of enlargement .

What is the solution to the inequality below?
2 - 2x > -20

A. x<11
B. X<9
C. x> 12
D. x<10

Answers

Answer:

x < 11

Step-by-step explanation:

2 - 2x > -20

Subtract 2 from each side

2-2 - 2x > -20-2

-2x > -22

Divide by -2 remembering to flip the inequality

-2x/-2 < -22/-2

x < 11

Which is the equation of a line that passes through the point (3, 2) and is parallel to the line in the graph?

Answers

Answer:

y = 3x/2 − 5/2

Step-by-step explanation:

MARKING BRAINIEST!!!

Answers

Answer:

y=-0.5ˣ

Step-by-step explanation:

each time the x-value is increased by one, the y-value is cut in half compared to the previous point

Answer:

y=-0.5ˣ

Step-by-step explanation:

each time the x-value is increased by one, the y-value is cut in half compared to the previous

what's the answer to
1067×6740​

Answers

1067 x 6740 = 7,191,580

Answer:

(1067)(6740)

=7191580

Step-by-step explanation:

I hope this help you :)

If you need another thing just let me know.

The function c(n) below relates to the number of bushels of apples picked at a pick-your-own-orchard to the final cost for the apples. It takes as input the number of bushels of apples picked after paying an entry fee to the orchard, and it returns as output to the cost of the apples (in dollars). c(n)=15n+30 Which equation below represents the inverse function n(c), which takes the cost of the apples as input and returns the number of bushels as output? A) n(c)=c-15/30 B) n(c)=c+15/30 C) n(c)=c+30/15 D) n(c)=c-30/15

Answers

Answer:

D) n(c) = c/15 - 2.

Step-by-step explanation:

c(n) = 15n + 30

c = 15n + 30

15n + 30 = c

15n = c - 30

n = c/15 - 2

D) n(c) = c/15 - 2

Hope this helps!

The correct answer is option D which is n(c) = c/15 - 2.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The inverse function of the given expression will be calculated as follows:-

c(n) = 15n + 30

c  = 15n + 30

15n + 30 = c

15n = c - 30

n = c/15 - 2

Therefore the correct answer is option D which is n(c) = c/15 - 2.

To know more about Expression follow

https://brainly.com/question/723406

#SPJ5

9:PLEASE HELP Evaluate the expression 2m+n for m=7 and n=2

Answers

Answer:

16

Step-by-step explanation:

Let's find out you're equation together!

You're equation could be turn into (2 * 7)+2.

And, that equation is equal to 14 + 2.

so, it is 16.

Find the value of h in the triangle.
18.2 m
12 m
h
21.8 m
[ ? lm

Answers

Answer:

10 m

Step-by-step explanation:

Area of = 1/2 * base* height

b= 12 m

h= 18.2 m

Area = 1/2*12*18.2

Considering,

base= 21.8 m

A= 1/2*21.8* h

[tex] \frac{1}{2} \times 12 \times 18.2 = \frac{1}{2} \times 21.8 \times h[/tex]

[tex]h = \frac{12 \times 18.2}{21.8} [/tex]

[tex]h = 10.018 \: m[/tex]

[tex]h = 10 \: m[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

40

Step-by-step explanation:

What else would need to be congruent to show that triangle ABC cong Triangle XYX by ASA?

Answers

Answer: First choice.  angle C = angle Z

Explanation:

AC = XZ shows that the horizontal pieces are congruent. This is the "S" of "ASA" as it stands for the pair of congruent sides. We are also given angle A = angle X. This is one of the "A"s in "ASA" as it stands for pair of congruent angles.

What we're missing is the other pair of angles. We must pick C and Z because they help sandwich the two sides mentioned above. ASA has the two angles surrounding the sides; or the sides are between the angles. We can't pick B and Y, unless we were doing AAS which is a similar related idea. The order matters when it comes to ASA and AAS. However, AAS is the same as SAA.

Answer:

AC=XZ

so the correct answer is D

Jocelyn has 4 rabbits each pair have 4 babies every year. How many Rabbits will Jocelyn have in 5years? Write an equation and show work.

Answers

Answer:

4096

Step-by-step explanation:

You do the equation 4^6

[tex]\huge\mathbb\skyblue{Question:}[/tex]

Jocelyn has 4 rabbits each pair have 4 babies every year. How many Rabbits will Jocelyn have in 5years? Write an equation and show work.

[tex]\huge\mathbb\skyblue{Solution:}[/tex]

do this equation 4^6 ^^

So the Answer is 4096

[tex]\huge\mathbb\color{skyblue}{Answer:}[/tex]

4096 rabbits will Jocelyn have in 5years.

᯽᯽᯽᯽᯽᯽᯽᯽᯽᯽᯽᯽᯽᯽

If you have any questions, feel free to ask me <33

[tex]\tiny\bold\color{lightpink}{\boxed{\overbrace{\underbrace{ArianahMaxxiLou}}}}[/tex]

Evan is making a table that will be created in the shape of the figure below. The table top is a triangle attached to a rectangle. To purchase the right amount of paint, he needs to know the area of the table top. He can only spend $10 on paint, which is enough to cover 150 ft2 of surface area. What is the maximum length of the base of the rectangle he can build? (3 points)

An image of a compound shape made up of a rectangle and a triangle is shown. The length of the rectangle is labeled x and the width is labeled 6 feet. The base of the triangle is labeled 4 feet and the height is labeled 6 feet.

Answers

Answer:

23 ft

Step-by-step explanation:

The surface area is known to be 150 square feet. Given the dimensions of this triangle ( 6 feet by 4 feet ) we can determine it's area, therefore calculating the area of this rectangle by subtracting the area of the triangle from the total surface area ( 150 square feet ). The amount of money on paint was there to mislead you, however it gave us the key point of being able to cover a maximum surface area of 150 square feet.

Surface Area = 150 ft²,

Area of Triangle = ( 6 [tex]*[/tex] 4 ) / 2 = ( 24 ) / 2 = 12 ft²,

Area of Rectangle = Surface Area - Area of Triangle = 150 ft² -  12 ft²

= 138 ft²

Let x = length of the rectangle

138 ft² = x [tex]*[/tex] 6 ft,

x = 138 ft² / 6 ft = 23 ft - this is the maximum length of the base of the rectangle he can build.

*The maximum length of the base of the rectangle is 23 ft.*

Given:

Triangle:

height = 6ft

base = 4ft

Rectangle:

length = x

Width = 6 ft

Surface Area = 150ft²

Area of a Triangle = h*b / 2 = (6ft * 4ft) / 2 = 12ft²

Area of a rectangle = Surface Area - Area of a Triangle

A = 150 ft² - 12 ft² = 138 ft²

138 ft² = x * 6ft

138 ft² / 6 ft = x

23 ft = x

23ft is your answer

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.

Answers

Answer:

A: [tex]f(x)\leq -2[/tex]

Step-by-step explanation:

After graphing the equation, the highest point is (-1,-2). Since f(x) is the 2nd number in the coordinates (x, f(x)), the range is [tex]f(x)\leq -2[/tex]

Relatively few (7.6%) high school students said that they rarely or never wore a seat belt, whereas 41.4% reported having texted or emailed while driving during the 30 days prior to taking the survey. What factors might account for this significant discrepancy, especially since texting while driving is arguably much riskier than not wearing a seat belt?

Answers

Answer:

Check Explanation

Step-by-step explanation:

The amygdala is the brain's emotional center. It is responsible for instinctual thinking and impulse control. It develops during early teenage years and this means the amygdala is not developed to the optimal level during teenage years. This makes teenagers very prone to impulsive behavior.

Also, the prefrontal cortex which is responsible for decision-making skills and the ability to measure risks is not fully developed in the teenage child stage. This is why teenagers make poor decisions and aren't great at measuring risks thereby making riskier choices like using the phone while driving.

These two brain components are fully developed in adults hence, it is less likely for adults to make poor decisions like texting while driving, which is a riskier thing to do than not using a seatbelt.

Again, teenagers have this invincibility feeling where they feel like they are more active and can react faster to road dangers. This deceives them into making such riskier decisions.

The current world also has turned into something else where people (teenagers especially) strive to get the most current news information as they are happening. The need to stay connected to social media is another reason why teenagers can't stay off their phones.

Finally, the fact that public intervention programs and ad campaigns promoting seat-belt use way more than not using cell-phones use while driving also mean more people are more conscious about using seatbelts while driving than not using their cellphones. In recent times, the campaigns, laws and bans on use of phones while driving are just gaining prominence.

In conclusion, the combination of all these factors/reasons is why the percentage of teenage high school students who use phones while driving is way more than the percentage that don't use a seatbelt although texting while driving is arguably much riskier than not wearing a seat belt.

Hope this Helps!!!

A county is considering raising the speed limit on a road because they claim that the mean speed of vehicles is greater than 45 miles per hour. A random sample of 25 vehicles has a mean peed o 48 miles per our and a standard deviation of 255 miles. What is the sample statistic?

Answers

Answer:

48 miles per hour.

Step-by-step explanation:

The definition of a sample statistic is "any function of observed data, such as the sample mean, sample variance, etc.".

We are given both the sample mean and the sample variance. But samples exist to be compared to the population.

Since we are given the data that "the mean speed of vehicles is greater than 45 miles per hour", we are told what is happening to the mean, not the standard deviation. So, we will use the mean of the sample of 25 vehicles to state the sample statistic: mean speed of 48 miles per hour.

Hope this helps!

Please could someone help?

Answers

Answer:

x = -3, y = 12

x = 0.5, y = 8.5

Step-by-step explanation:

Easiest and fastest way to do this is not algebraically, but graphically. Simply graph the systems of equations into a graphing calc and trace to where the 2 graphs intersect.

The forecast predicts that the temperature will change from 15 degrees Fahrenheit to -3 degrees Fahrenheit. A. Write an expression that represents the change in temperatures for Saturday. B. What is the expected temperature change? C. If the temperature actually changes by 5 degrees more than predicted, what will be the change in temperature?

Answers

Answer:

A. [tex]Change = Final\ temperature - Inicial\ temperature[/tex]

B. Negative change of 18 degrees

C. Negative change of 23 degrees, final temperature would be -8°F

Step-by-step explanation:

A.

The expression that represents the change in temperature is:

[tex]Change = Final\ temperature - Inicial\ temperature[/tex]

B.

If the final temperature is -3°F and the inicial temperature is 15°F, the change in temperature is:

[tex]Change = -3 - 15 = -18\° F[/tex]

We have an absolute change of 18 degrees.

C.

If the change is 5 degrees more, the change would be 18 + 5 = 23 degrees, and the final temperature would be 5 degrees lower, that is:

[tex]Final\ temperature = -3 - 5 = -8\°F[/tex]

find the value of the polynomial 5 x minus 4x square i) x=0

Answers

Answer:

If x = 0, then the value of the polynomial = 0

Step-by-step explanation:

Given that ;

F(x ) = 5x - 4x^2

Substituting 0 for x we have;

F(0) = 5(0) -4(0)^2 = 0 + 0 = p

POSSIBLE EQUATIONS
GRAPHS
1.) Equation:
2.) Equation:
A. y=-x+6
B. y=x+4
c. y=** +2
3.) Equation:
4.) Equation:
D. y=-x +4
E. y=[x+41-2
F. y=x-1
5.) Equation:
6.) Equation:
G. y=(x-2) – 6
H. y=6+ V2
1. y=[x+5|
7.) Equation:
8.) Equation:
J. y=x" – 8
K. y=x*-7
L. y = |x-3) - 4

Answers

Answer:

c, d, g, k

Step-by-step explanation:

in that order

Identify an equation in standard form for an ellipse with its center at the origin, a vertex at (0, 11), and a co-vertex at (4, 0). HELP ASAP

Answers

Answer:

Step-by-step explanation:

If you plot those points on a coordinate plane, you'll see that the distance from the origin up the y-axis to the point is greater than is the distance from the origin down the x-axis to the other point. That means 3 things to us: 1. the greater distance is a and the shorter is b; 2. the point (0, 11) is the vertex while the point (4, 0) is the co-vertex; and 3. this is a vertically stretched ellipse. A vertically stretched ellipse has an equation

[tex]\frac{(x-h)^2}{b^2} +\frac{(y-k)^2}{a^2} =1[/tex] where h and k are the coordinates of the center, a is the greater distance (between the center and the vertex), and b is the smaller distance (between the center and the co-vertex).  Here's what we have then thus far:

h = 0

k = 0

a = 11

b = 4

Filling in our equation then looks like this:

[tex]\frac{(x-0)^2}{4^2} +\frac{(y-0)^2}{11^2} =1[/tex] and simplifying:

[tex]\frac{x^2}{16} +\frac{y^2}{121} =1[/tex]. It appears that the last answer is the one you want, although when I teach this to my precalc students, I do not encourage them to move the x and y terms around as that answer appears to have done. But addition is also commutative so I'm sure it's acceptable (I just think it looks strange that way).

The equation of ellipse is [tex]\dfrac{y^2}{121}+\dfrac{x^2}{16}=1[/tex] option D is correct.

Important information:

The center of the ellipse is the origin.Vertex at (0,11).Co-vertex at (4,0)Ellipse:

The standard form of an ellipse is:

[tex]\dfrac{x^2}{b^2}+\dfrac{y^2}{a^2}=1[/tex]

Where, [tex](0,a)[/tex] is vertex and [tex](0,b)[/tex] is vertex.

Substitute [tex]a=11,b=4[/tex] in the above equation.

[tex]\dfrac{x^2}{(4)^2}+\dfrac{y^2}{(11)^2}=1[/tex]

[tex]\dfrac{x^2}{16}+\dfrac{y^2}{121}=1[/tex]

[tex]\dfrac{y^2}{121}+\dfrac{x^2}{16}=1[/tex]

Therefore, the correct option is D.

Find out more about 'Ellipse' here:

https://brainly.com/question/1548816

I’m confused can ya help me

Answers

Answer:

C & D

Step-by-step explanation:

x² + 3x - 3 = 0

a = co efficient of  x² = 1

b=  co efficient of x = 3

c = constant = -3

roots = (-b ± [tex]\sqrt{b-4ac}[/tex])/2a

    = (-3±[tex]\sqrt{3^{2}-4*1*[-3]}[/tex] )/2*1

    = (-3±[tex]\sqrt{9+12}[/tex])/2

    = (-3±√21)/2

  [tex]x = \frac{-3+\sqrt{21}}{2} ; x =\frac{-3-\sqrt{21}}{2}[/tex]

Is the function f(x)= -(4/3)^-6x an exponential function? What’s the base

Answers

Answer:

Yes.

Base: 4/3

Step-by-step explanation:

Since we have the base of 4/3 being powered by -6x, we do indeed have an exponent.

The ratio of stories to magazines is 4 to 3, if there are 28 stories, how many magazines are there?

Answers

How many magazines are there?

12 magazine.

Step by step explanation:

The ratio of stories to magazines is 4 to 3, if there are 28 stories, how many magazines are there?

Story: c

Magazine: r

C / R

C = 4K

R = 3k

4K + 3k = 28

7k = 28

K = 7/28

K = 4

Substituting:

C = 4X4 = 16

R = 3x4 = 12

Ratio of stories to magazines: 4:3

There are 28 stories, so that would mean we would have to divide 28 by 4 to get the common rate.

28/4 = 7

So, now we can substitute it to solve the amount of magazines.

4 x 7 = 28

3 x 7 = 21

Thus, there are 21 magazine and the non-simplified ration of stories to magazines is 28:21.

The lengths of the sides of a triangle are in the ratio 3:4:5. Find the lengths of the sides of this triangle if its perimeter is 96 cm.

Answers

Answer:  16 one side 32 second side 48 third side

Step-by-step explanation:

16;32;48

3;4;5

Answer:

24, 32, 40

Step-by-step explanation:

We know that the ratio of the sides is 3:4:5, and that total is 96.

First I tested out some numbers by multiplying them by 3, 4, and 5

Eventually I got to 8;

8×3:8×4:8×5 --> 24:32:40 --> 3:4:5

24+32+40=96

Meaning, the sides were 24, 32, and 40

Hope this helps, and good luck!

what is 1+1, is the answer a letter and why

Answers

Answer:

2

Step-by-step explanation:

Lets say John had 1 apple and Sarah gave him 1 more apple. John would now have 2 apples.

Hope this helps :)

Answer:

B

Step-by-step explanation:

1=a 2=b

How much is 5 raised to 5?​

Answers

Answer:

3125

Step-by-step explanation:

5^5, when put into a calculator gets you 3125.

Answer: 3125

Step-by-step explanation:

Remember: to calculate by elevated you have to calculate the same number the same number of times. For example: 5 raised by 5 is: 5 x 5 x 5 x 5 and that multiplication results in: 3125. I hope and it has helped you ;)

A rectangle mesures 3 cm by 6 cm Three of these rectangles are put together to make a larger rectangle. Work out the perimeter of this larger rectangle: It mesures three 3 cm tall rectangles that are both 6cm each and another one that is 6 cm tall.

Answers

Answer: 45 cm

Step-by-step explanation:

Assuming the rectangles r put together as per the attached picture.

length = 6+3 = 9 cm

Width = 3+3 = 6cm

Perimeter = 2(l+w)

P = 3(9+6)

P = 3 * 15

P = 45 cm

Parallel to the line y= -2x + 4 and passes through point A(2, 4)

Answers

Answer:   y = -2x+8

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

Explanation:

Parallel lines have equal slopes, but different y intercepts. The given line y = -2x+4 has a slope of -2. Any line parallel to this will also have a slope of -2.

So m = -2

The unknown line goes through the point (x,y) = (2,4). Which means x = 2 and y = 4 pair up together.

Plug m = -2, x = 2, y = 4 into y = mx+b and solve for b

y = mx+b

4 = -2(2)+b

4 = -4+b

4+4 = b ... adding 4 to both sides

8 = b

b = 8

Since m = -2 and b = 8, we go from y = mx+b to y = -2x+8

--------------

Side note: the y intercept of the original equation is 4 while the y intercept of the new equation is 8

Answer:

y=-2x+8

Step-by-step explanation:

y= -2x + 4 and passes through point A(2, 4)

if a line is parallel then the two lines have the same slope

since the line passes through A(2,4) then

y=-2x+b find b

4=-2(2)+b

b=4+4=8

b=8

y=-2x+8

Which inequality is represented by the graph below?

Answers

Answer:

y ≤ -1/5x +1

Step-by-step explanation:

The line had an incline of -1/5 and the intersect with the y-axis is 1, so the line is given by

y = -1/5x +1

The indicated area in graph is below the line, so now you have enough to get the right inequality:

y ≤ -1/5x +1

What is the area of the polygon below?

Answers

Answer:

28cm^2

Step-by-step explanation:

I find the area of the shape, simply add the square engulfed within it

I was able to find 28! So 28cm^2

Hope this helps

Answer: 28.5 square units

Step-by-step explanation: Count the whole squares in the figure then figure the areas of the triangular areas around the sides. Whole squares 3+5+5+5 = 18

Left side: 5/2 = 2.5

Top (2)( 3/2) = 3

Right: 4/2= 2

Bottom 6/2 = 3

Sum of triangular areas: 10.5

Add squares and triangles:

18+10.5= 28.5

It may be possible to compute the area by using the Pythagorean Theorem to get the lengths of the bases and height, but that's a bit more complicated!

Other Questions
How to find the scale factor, ratio of area, & ratio of volume? NEED ASAPWhich event contributed most to Europe's movement away from feudalism and toward an economic system based on the exchange of money?A) the exploration of unknown worlds by Europe's explorersB) the labor shortage caused by the Black DeathC) increased literacy rates due to the invention of the printing pressD) the final battle of the Hundred Years' War Read the excerpt from Lizzie Bright and the BuckminsterBoy:Which best states how Turner's internal conflict isconnected to the setting?O Turner feels stifled in the town but free in the open airof the beach.O Turner feels used to the town but unsure of himself onthe beach.He spread his arms wide against the ocean sounds: therush of the waves, the manic giggles of the gulls, thesighing of the sea breeze against the granite. He put hisback to all of Phippsburg-Lord, to the entire continent-till with a shrug he sloughed off its heavy stillness andlooked for a way to climb down to the water. ... [F]inallyhe was down on the beach, breathing hard and deep, likesomething that was only just coming alive and drinking inthe liquid air for the first delicious time.0 Turner feels there is a lot to do in the town but notmuch to do at the beach.Turner feels criticized by people in the town butcriticized by God at the beach. In 2001,the united states oil consumption was 7,297.4 millions of barrels,while japan's was 1,979.4 millions of barrels. How many more barrels did the united states consume than japan. Why should you use sensory details in a story? Most people remember gandhi and dr Martin Luther king jr. Main idea pls help me pls pls What are the two reasons why metals are good conductors of electricity? The controlling account for the cost ledger is Group of answer choices Cost of Goods Sold Materials Finished Goods Work in Process If someone improves productivity by developing a new work process and receives a portion of the productivity savings as a monetary reward, this is an example of a/an ____________ pay plan. language and information A sample of 120 creative artists is used to test whether creative artists are equally likely to have been born under any of the twelve astrological signs. Assuming that the twelve astrological signs each contain an equal number of calendar days, the expected frequency for each category equalsa) 5 b) 10 c) 12 d) 120 You weigh six packages and find the weights to be 19, 15, 35, 17, 33, and 31 ounces. If you include a package that weighs 39 ounces, which will increase more, the median or the mean? n electromagnetic wave in vacuum has an electric field amplitude of 611 V/m. Calculate the amplitude of the corresponding magnetic field. It was reported that in a survey of 4764 American youngsters aged 6 to 19, 12% were seriously overweight (a body mass index of at least 30; this index is a measure of weight relative to height). Calculate a confidence interval using a 99% confidence level for the proportion of all American youngsters who are seriously overweight. (Round your answers to three decimal places.) PLEASE HELP !!!The biotic potential of a populationA. directly dependent on the size of the population.B. causes changes in death rates without affecting birth rates.C. is the maximum rate at which a population may increase. D. causes changes in birth rates without affecting death rates. examine some of the difficulties associated with the financial system and how these challenges have been addressed by the Banks and Specialised Deposit Taking Institutions Act 2016 (Act 930). Are there any novel ways by which some of the challenges may be resolved When you release the mass, what do you observe about the energy? What was the economic condition of the majority of the people in France. short answer A wireless phone service provider advertises that their average startup fee is $73. Given that their startup fees are $8, $85, $92, and $107, why is this statistic misleading?