A 12ft. tall ladder is leaning against a building. If the bottom of the ladder is 3ft. from the base of the building how high up the side of the building does the ladder reach? Put your answer in the box. Round your answer to the nearest whole number.

Answers

Answer 1

Step-by-step explanation: The Pythagorean theorem states that, in a right triangle, the length of the hypotenuse squared equals the sum of the squares of the other two sides or legs of the triangle.  Algebraically, a2+b2=c2.  In your example, the length of the ladder would be the hypotenuse and the distance from the wall would be one of the legs.  So substitute these values into the equation to get: 32+b2=122 or 9+b2=144 and then subtract 9 from both sides to get b2=135.  Therefore b=√135≈11.62.  If your problem requires an exact answer in its most simplified form, please note that √135=3√15.  Hope this helps you


Related Questions

What is the area of the composite figure?

Answers

Answer:

i think a

Step-by-step explanation:

Answer: I think the answer is A Not sure

Step-by-step explanation:

Can someone please help my teacher just put the question as


b = 14 ft, c = 20 ft


and I am so confused!!

Answers

Answer:

I am not sure because this is just an expression but I have a feeling I know where your teacher is going with this.

Step-by-step explanation:

She is saying the variable B stands for 14 feet and the variable C is 20 feet.

Gina visited the aquarium with some of her cousins, aunts, and uncles. The group bought 20 admission tickets for $340. Adult tickets cost $20, and children’s tickets cost $15. How many adult tickets and how many children tickets did the group buy?

Write a system of equations.

Answers

Answer:

Look at the attachment

Step-by-step explanation:

There are 12 children tickets did the group buy.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The group bought 20 admission tickets for $340.

And, Adult tickets cost $20, and children’s tickets cost $15.

Let number of children = x

And, Number of adult = y

Hence, We get;

The system of equations are,

x + y = 20  

y = 20 - x .. (i)

And, 15x + 20y = 340

3x + 4y = 68 .. (ii)

Substitute the value of y from (i) in (ii);

3x + 4(20 - x) = 68

3x + 80 - 4x = 68

80 - 68 = x

x = 12

Thus, There are 12 children tickets did the group buy.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ3

hellp me What is the value of x? (5 points)


Question 7 options:

1)

10

2)

15

3)

30

4)

45

Answers

2(30)=60+30=90. thats a right angle which is 90 degrees so the answer is 30
Answer: 30

Explanation: 2x+30=90
-30 -30
2x=60
x=30



Hope this helps! :)

I need the answer ASAP

Answers

Answer:

72

Step-by-step explanation:

The answer is D


Explanation:

help me please thank you sm

Answers

The answer is 160 candy bars
The answer is 160 candy bars because you divide 56 by 0.35

help me plz i will give brainliest

Answers

Answer:

a. t = I/Pr

b. The value of t in the table is 3 years

Step-by-step explanation:

Solve for t in the formula.

I = Pr

~Divide pr to both sides

I/Pr = t

Using the formula above, we can solve for t.

75/(500)(0.05) = t

75/25 = t

3 = t

Best of Luck!

Two linear functions are represented in different formats.

Function 1:

x y
0 −2
2 0
3 1
5 3
Function 2:

Graph of a line passing through the point begin ordered pair negative 2 comma 0 end ordered pair and the point begin ordered pair 0 comma 4 end ordered pair.

Which statements are true?

Select each correct answer.


Function 1 has a greater rate of change than function 2.

Function 2 has a greater rate of change than function 1.

Function 1 has a greater y-intercept than function 2.

Function 2 has a greater y-intercept than function 1.

Answers

The statements that are true are;

Function 2 has a greater rate of change than function 1.

Function 2 has a greater y-intercept than function 1.

Step-by-step explanation:

Given that function 1 has the table;

x  y

0 -2

2  0

3   1

5   3

Finding the slope of the linear function gives the rate of change of the function. In this case,

m=Δy/Δx

m=3-1/5-3 = 2/2 =1

The equation of the linear function is given as;

m=Δy/Δx

y-3/x-5= 1

y-3=x-5

y=x-5+3

y=x-2

y-intercept is -2

In function 2, the line passes through points (-2,0) and (0,4)

Finding the slope of the line,

m₁=Δy/Δx

m₁=4-0/0--2

m₁= 4/2 =2

Rate of change is 2

Finding the equation of the line

y-4/x-0 = 2

y-4=2(x-0)

y-4 =2x

y=2x+4

The y-intercept is 4

The statements that are true are;

Function 2 has a greater rate of change than function 1.

Function 2 has a greater y-intercept than function 1.

Use the equation: C=0.5n to determine the cost for 14 hamburgers in dollars

Answers

C=$7.00

C stands for the cost, and n would be the amount of hamburgers. Since we are looking to determine the costs of 14 hamburgers we would have to then multiply 0.5 and 14.

14 x 0.5 =7

So your answer is 7 dollars
14 times 0.5 = 7 would be correct i think.

f(x) = 6x² and g(x) = 14x + 4

Solve:

(g o f)(2) =
please show work

Answers

Answer:

Step-by-step explanation:

Can someone help me with my homework

Answers

Answer:

i need a better pic but i can help you

Step-by-step explanation:

Maybe retake the picture can’t see it very well

Find each difference
1:9 — 4
2:4 — 9
3:9 — (-4)
4:-9 — (-4)
5:-9 — 4
6:4 — (-9)
7:-4 — (-9)
8:-4 — 9

Answers

5
-5
5
-5
-13
5
Explain:
Um tell me if you want me to

Answer:

-9

Step-by-step explanation:

HELP ME PLEASE !!!!!!

Answers

Answer:

in the explanation

Step-by-step explanation:

rs=2^2+4^2=20cm

sq root of 20=4.472135955 (round down to how much you like, probably 1dp)

qt=4^2+8^2=80cm

sq root of 80= 8.94427191

for the other pic just do [tex]\sqrt{80}[/tex] takeaway [tex]\sqrt{20}[/tex], which is 4.472135955 and round down to how much u like

i do not know what the answers is i need the answer so i can post

An interview is

A. a casual conversation with a group of friends.
B. a formal conversation with two or more people.
C. a private conversation between family members.
D. a loud conversation between two neighbors.

Answers

Answer:

B is the answer :-))))

Step-by-step explanation:

have a nice day

Answer:

The Correct answer is B

Step-by-step explanation:

A interview is something formal when applying to a job its not causal because you and the person interviewing you is being very formal its also a conversation including 2 or more people depending on how the company you apply for decides to do there interview hope this helps :)

what is the area of this trapezoid?

Answers

The area of this trapezoid is 34 cm sq.
the answer is 34 cm sq:))

a mine worker discovers an ore sample containing 500mg of radioactive material. it is discovered that the radioactive material has a half life of 1 day. find the amount of radioactive material in the sample at the beginning of the 7th day.

Answers

Answer:

The miner would have 3 1/2 of radioactive material in the sample at the beginning of the 7th day.

Step-by-step explanation:

hope this helped!

3 1/2 is radioactive hope this helps’

PLEASE HELP BEST ANSWER GETS BRAINLIEST AND 10 POINTS

John flew a kite. He started flying the kite at 2:20 pm and ended at 3:14 pm. How many minutes did John fly a kite?

Answers

Answer:

94 Minutes.

Step-by-step explanation:Subtract 220 from 314 and you get 94. To check you add 220 to 94 and you get 314. Hope this helped.

please help me,, you have to include an explanation !!

Answers

Answer:

1152 ft^2

Step-by-step explanation:

There are 7 faces on this solid.

I will label the faces and will calculate each area with an explanation.

Faces 1 and 2:

The front face and the back face are congruent and have 5 sides each. Each face is a rectangle with a triangle above it. The lower rectangular part has dimensions 9 ft by 12 ft. The triangle above the rectangle has base 9 ft and height 16 ft - 12 ft = 4 ft.

Each face is a rectangle and a triangle.

area = area of rectangle + area of triangle

area = LW + bh/2

area = 9 ft * 12 ft + 9 ft * 4 ft/2 = 108 ft^2 + 18 ft^2 = 126 ft^2

This is area of of face 1, the front face. Face 2, the rear face has the same area.

A1 = 126 ft^2

A2 = 126 ft^2

Face 3: The bottom of the solid is a rectangle measuring 9 ft by 20 ft

area = LW

area = 9 ft * 20 ft = 180 ft^2

A3 = 180 ft^2

Faces 4 and 5:

The left vertical face and the right vertical face are congruent rectangles measuring 12 ft by 20 ft.

area = LW

area = 12 ft * 20 ft = 240 ft^2

A4 = 240 ft^2

A5 = 240 ft^2

Faces 6 and 7 are the top right and left inclined rectangles. They are congruent, and each one has dimensions 6 ft by 20 ft.

area = LW

area = 6 ft * 20 ft = 120 ft^2

We need 2 of these area.

A6 = 120 ft^2

A7 = 120 ft^2

total surface area = A1 + A2 + A3 + A4 + A5 + A6 + A7

total surface area = 126 ft^2 + 126 ft^2 + 180 ft^2 + 240 ft^2 + 240 ft^2 +  120 ft^2 + 120 ft^2

total surface area = 1152 ft^2

The answer is: 1152ft^2

ZEARN MATH


can someone plzzzzzzzzzzzzzzzzz log into my account for zearn and do my work or else im gona fail , I will give you 60 Pointsssssss , 5 star , thanks , and brainliest




PLZZZZZZZZZZZZZZZZZZZZ

Only if i can trust you

Answers

Answer:

Just post the questions here on brainly so we can help you answer thwm. Thats what this website is for! =D

Step-by-step explanation:

Answer:your username and pasword

Step-by-step explanation:

Help me, please I'm a little confused I'm very perturbed..

Answers

Answer:

2 6/15 + 2 10/15 or the first one

Step-by-step explanation:

Im so glad I could help! I hope you pick my answer as the Brainliest!

Answer:

Step-by-step explanation:

Since this is a test, I'll give a hint.

This problem can be a little confusing, but thats ok! The problem is trying to make two models, (each model is a number) and asking you to find what the addition sentence is.

If that makes you confused, then that's probably the right response! The first thing you would need to know is what are they dividing the whole circles of? Thirds? Seconds? Sixths?

You would then need to know how many whole numbers are there. "Whole numbers" are basscially fully shaded circles.

Hope this helps!

IF YOU R GOOD AT CALCULUS PLZ HELP AND IF U STEAL POINTS YOU GET REPORTED


If an object is dropped from a height of 55 feet, the function d=-16t^2+55 gives the height of the object after t seconds. Graph this function. Approximately how long does it take the object to reach the ground (d= 0)?

Answers

Answer:

To find the time to reach ground solve - 16t^2 + 55 = 0

t^2 = 55/16

t = sqrt55 / 4 = 1.85 seconds

Step-by-step explanation:

17/5 converted into a mixed number

Answers

Answer:

3 2/5

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

The floor of the entryway to an office building will be triangular. Two angles of the triangle will measure 40°, and the side between them will have a length of 8 meters. Make a scale drawing of the entryway using a scale of 1 cm : 2 m. Explain how you made your drawing.

Answers

Answer: The drawing in the attached figure

Step-by-step explanation: we know that

An isosceles triangle, has two equal sides and two equal interior angles

In this problem, the floor of the entryway to an office building is in the shape of an isosceles triangle

step 1

Find the measure of the vertex angle

Remember that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

Let

x ---> the measure of the vertex angle of triangle

step 2

Find the length of the congruent sides of triangle

Applying the law of sines

Let

c ----> the length of one congruent side

we have

substitute

solve for b

step 2

Make a scale drawing of the entryway

The scale drawing is 1 cm : 2 cm

That means

1 cm in the drawing represent 2 cm in the actual

or

1 cm in the drawing represent 0.02 m in the actual

Find the dimensions in the drawing

For a=8 m

For b=5.22 m

step 3

Draw the triangle

The drawing is attached

GUYS, PLEASE ANSWER MY QUESTION! Please it's due today, everybody else got their questions answered! Listen to me!

Jayden used a Groupon at the local pizza shop. Instead of paying $15, for the pizza, he paid $12.
Haley and Arianna agree that the percent of decrease is 20% but their explanations differ. Haley says to find the 20%, you have to determine what percent of 15 is 12. Arianna thinks you have to determine what percent of 15 is 3. Who is correct?

Answers

Answer:

Arianna is correct

Step-by-step explanation:

She is correct because they need to find how much is the discounted price, which is 3. So to see what percentage it is, they need to see how much 3 is worth in comparison to 15. If we spilt 15 into 5 parts to make every part worth 20%, the answer would be 3. Thus Arianna is correct.

arianna is the correct answer

Determine whether the graph represents a proportional relationship.

A graph is shown. The x-axis is labeled from 0 to 16. The y-axis is labeled from 0 to 16. Four points are shown on the graph on ordered pairs 0, 4 and 2, 8 and 3, 12 and 4, 16. These points are joined by a line. The label on the x-axis is Number of Boats. The title on the y-axis is Number of Passengers.

Answers

Answer:

It represents a proportional relationship

Step-by-step explanation

I am not good at math so ya

Answer:

Step-by-step explanation:

Yes

Which equations represent linear functions? Check all that apply. (Look at the image)

Answers

Answer:

Equations 2, 3, and 4 are linear

Step-by-step explanation:

Equation 1 is a parabola and equation 5 is a Rational function

I rlly need helppp Pls help first right (or right) =brainliest!

Answers

Answer:

A

Step-by-step explanation:

20 divided by 20 is 1. 1 - 5 is negative 4

Answer:

R = 20

q = 19

Step-by-step explanation:

Have a nice day............

Please help me. This is due at 12 tonight.

Answers

Answer:

I think the answer is D

Step-by-step explanation:

The answer will be C

Plz help ASAP! Show how you did it if possible.

Answers

Answer:

7m^3-11m^2+5m+17

Step-by-step explanation:

it'll be really hard to show work so just trust me on this one-

hope it helps <3

For m^3 : Because you are subtracting a negative from a negative, that means you are adding, therefore the first part should be 7m^3

For m^2 : because you are subtracting a positive from a negative, that means you are subtracting, so it would be -11m^2

For m : because you are subtracting a negative from zero, it would turn into a positive, making it just 5

For the constant : subtracting positive 8 from negative 9 makes it a positive from the double negative. Therefore you would add 8+9, giving you 17

FINAL ANSWER : B. (7m^3)-(11m^2)+5m+17

Which of the following graphs represents a function?

Answers

Answer:

the one on top

Step-by-step explanation:

Answer:

"the one on the top"

Step-by-step explanation:

EZZZZZZZZZZZZZZZZZZZZZZZz

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