Roscoe is locked outside his house.The only unlocked window is on the 2nd floor which is 24 feet from the ground. He will have to borrow a ladder from the neighbors house and place it 7 feet from the house. What length of ladder does he need to reach the 2nd floor safely

Answers

Answer 1

Answer:

25 feets

Step-by-step explanation:

The scenario above can be modeled and solved Using Pythagoras :

Height to second floor = 24 feets

Horizontal Distance between foot of ladder and wall = 7 feets

Let length of ladder = x

The lengtb of ladder here is the hypotenus

Recall:

Hypotenus = sqrt(opposite² + adjacent²)

Hence,

x = sqrt(24² + 7²)

x = sqrt(576 + 49)

x = sqrt(625)

x = 25

Hence, length of ladder = 25 feets


Related Questions

PLS HELP!!!! MARKING BRAINLIEST

Answers

Answer:

for 9

Step-by-step explanation:

john grabs a piece of kitchen twine, he grabs the whole length of 8 ft. He 1/2 off. He then cuts another half of on each piece of twine. How many pieces of kitchen twine does john have?

Find the equation of the line that
is parallel to y = 2x + 5 and
contains the point (2, -4).
y = 2x + [?]

Answers

Answer:

y=(9,-8)

Step-by-step explanation:

2(2,-4) will give you (4,-8)

therefore y=(4,-8)+5

4+5 which is 9 and nothing will be added to -8

y=(9,-8)

Answer:

y=2x-8

Step-by-step explanation:

I HAVE 2 MIN PLS HELP

Answers

Answer:

C (ignore this it asked for 20 characters)

There are fewer than 3 gallons of gas in the tank. Use as your variable.

The inequality is

Answers

>3. its less than 3 because it is

to rent a certain meeting room, a college charges a reservation fee of $18 and an additional fee of $6 per hour. The chemistry club wants to spend at most $72 on renting the room. what are the possible numbers of hours the cemetery club could rent the meeting room? use t for the number of hours. write your answer as an inequality solved for t.

Answers

Answer:

t ≤ 9 hours

Step-by-step explanation:

Reservation fee = $18

Additional fee per hour = $6

Let x = number of hours

At most in inequality means ≤ less than or equal to

The inequality is

18 + 6t ≤ 72

6t ≤ 72 - 18

6t ≤ 54

t ≤ 54/6

t ≤ 9 hours

Solve for the missing variable given the rhombus (8x+58)

Answers

Answer:

the answer is already simsplified and there isnt a photo

if you what it factored then the answer would be 2(4x+29)

The height of a falling pinecone can be represented by y = -16° +64 where t is the time in seconds
and y is the height of the pinecone in feet. Write and solve an equation to find the number of seconds it
will take for the pinecone to reach the ground.
A. 4 seconds
B. 6 seconds
C. 2 seconds
D. 1.5 seconds

Answers

Answer:

4 Seconds

Step-by-step explanation:

Let's say the height of the ground is set at y = 0.

Then, since 16 times 4 is 64, we substitute 4 for x.

But wait! x is being squared!

So we need to find out what squared is 4. It's 2.

So, with x being equal to two, y is equal to 0.

But what is the number of seconds? We actually got it first.

That means that the answer is 4.

The pinecone takes 4 seconds to reach the ground.

if the ratio of milk and water in 45 litre is 7:2. if 4 litre water is added what will be the new ratio.​

Answers

Answer:

5 : 2

Step-by-step explanation:

sum the parts of the ratio, 7 + 2 = 9 parts

Divide the quantity by 9 to find the value of one part of the ratio

45 litres ÷ 9 = 5 litres ← value of 1 part of the ratio , then

7 parts = 7 × 5 = 35 litres

2 parts = 2 × 5 = 10 litres

In 45 litres there is 35 litres of milk and 10 litres of water

Adding 4 litres of water gives

35 : 14 = 5 : 2

What is the surface area of the rectangular pyramid

Answers

Answer:

88.8 cm square

Step-by-step explanation:

Is (2,1) a solution to y> 2x-1

Answers

1>2*2-1
1>4-1
1>3
False So No

The triangle and the trapezoid have the same area. Base b2 is twice the length of base b1. What are the lengths of the bases of the trapezoid? The area of the triangle is 65 cm squared

Answers

Answer:

[tex]b_1 \approx 7.2[/tex]

[tex]b_2 \approx 14.4[/tex]

Step-by-step explanation:

Given

[tex]Area = 65cm^2[/tex] --- Area of the triangle

[tex]b_2 = 2b_1[/tex] --- the bases of the trapezoid

The missing parameters is:

[tex]h=6 cm[/tex] --- Trapezoid height

Required

Determine b1 and b2

Since the areas of the trapezoid and the triangle are the same, then:

[tex]Area = \frac{1}{2}(b_1 + b_2) *h[/tex]

So, we have:

[tex]65 = \frac{1}{2}(b_1 +b_2) * 6[/tex]

Substitute[tex]b_2 = 2b_1[/tex]

[tex]65 = \frac{1}{2}(b_1 +2b_1) * 6[/tex]

[tex]65 = \frac{1}{2}(3b_1) * 6[/tex]

[tex]65 = 3b_1 * 3[/tex]

[tex]65 = 9b_1[/tex]

Solve for [tex]b_1[/tex]

[tex]b_1 = \frac{65}{9}[/tex]

[tex]b_1 \approx 7.2[/tex]

Substitute [tex]b_1 \approx 7.2[/tex] in [tex]b_2 = 2b_1[/tex]

[tex]b_2 \approx 2 * 7.2[/tex]

[tex]b_2 \approx 14.4[/tex]

an airplane traveled 1000 miles in 2 hours how long would it take that plane to travel 5000 miles if it travels at the same speed

5hours
6hours
7hours
10hours
12hours

Answers

Answer:

10 hours

Step-by-step explanation:

Create a proportion where x is the number of hours to travel 5000 miles

[tex]\frac{1000}{2}[/tex] = [tex]\frac{5000}{x}[/tex]

Cross multiply and solve for x

1000x = 10000

x = 10

So, it will take 10 hours.

I need your help please!!! :)

Answers

Answer:

(-6.5, 3)

7.2units

Step-by-step explanation:

Given the coordinate

A =(-26, -15)

B = (13, 21)

Midpoint of A and B is expressed as;

X = -26+ 13/2

X = -13/2

X = -6.5

Y = -15+21/2

Y = 6/2

Y = 3

Hence the required midpoint is (-6.5, 3)

b) The distance between the coordinate (-6.5, 3) and (0,0) is expressed as;

D = √(-3)²+(0+6.5)²

D = √9+42.25

D = √51.25

D = 7.2units

Hence the distance between the  midpoint and the base camp is 7.2units

I had trouble plotting the midpoint lol but can someone plz help me :c​

Answers

midpoint is (-1 and -1.5)

Answer:

Step-by-step explanation:

midpoint rule is    x2+x1 / 2  , y2+y1 / 2

where point one is P1 = (x1,y1) = (4,3)

and point two is P2 = (x2,y2) = -6,-6

for x   then,  -6+4 / 2 = -2 / 2   =  - 1

for y then,  -6+3 / 2 = -3 / 2  =  - [tex]\frac{3}{2}[/tex]

mid point is  ( -1 ,  - [tex]\frac{3}{2}[/tex] )

Together Alex and Lily have 12 cats. If Alex has 3, write an equation to find out how many lily has.

Answers

Answer:

12-3 lily has 9 cats

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

12 - 3 = 9

HELP PLEASE ILL MARK BRAINEST IF UR RIGHT. Gems math

Answers

Using the Pythagorean theorem where a^2 + b^2 = c ^2

Plugging in the variables you would have

9^2 + 7^2 = 130

Sqrt 130 = 11.40

Your answer is 11.40

What’s the answer????(i will mark whoever answers the question right as Brainelist)

Answers

Bob was enrolled in yoga classes for 1 year = 12 months

The roots of a quadratic function are 6 and -2. Which is a possible vertex of the function?

A (-2,-4)

B (-8,-2)

C (-2,0)

D (-8,4)

Answers

Is the letter A, thanks for you points

The possible vertex of the function is (2, -16).

What are Quadratic Functions?

Quadratic functions are polynomial functions consisting of variables and exponents and the degree of the variable is 2.

The general form of a quadratic function is f(x) = ax² + b x + c.

Let f(x) = ax² + b x + c be the function required.

Roots are 6 and -2.

Equation can be written in the factorized form as,

(x - 6) (x + 2) = 0

x² - 6x + 2x - 12 = 0

x² - 4x - 12 = 0

f(x) = x² - 4x - 12

Vertex of a function f(x) = ax² + b x + c is (h, k) such that h = - (b/2a) and k = f(h)

h = - (-4/2) = 2

k = f(2) = 4 - 8 - 12 = -16

Hence the vertex of the function is (2, -16).

Learn more about Quadratic Functions here :

https://brainly.com/question/29775037

#SPJ6

A survey was given to a random sample of students attending college in which they were asked, "As a college student, do you feel like your high school prepared you for your college experience?" The data showed that 54% of the 600 students surveyed replied yes. What is the population of the statistical question? A. All students attending college B. All students in high school and college C. The 600 students who were surveyed D. The 54% of students who replied yes​

Answers

Answer:

D

Step-by-step explanation:

Option A doesn't give any statistical data, B is the same as A, and C doesn't show accurately how many students replied yes or no.

The polygons are regular polygons. What is the area of the shaded region?



Please my brain literally can’t process this...

Answers

Answer:  

shaded Area hexagon = Around 281 squared feet

shaded area square  24 squared inches

Step-by-step explanation:

regular hexagon is made up of 6 equilateral triangles. All sides are equal

The formula for finding the area of a hexagon is Area = (3√3 s2)/ 2 where s is the length of a side of the regular hexagon.

Side big hexagon = 12

side small hexagon = 6

BIG    A=  (3√3 144)/ 2 =   374.1230...

small  (3√3 36)/ 2 = 93.5307...

shaded = BIG minus small

374.1230... - 93.5307... = 280.5923... squared feet

 

BIG SQUARE   diagonal = 8

area of a square using diagonals = ½ × d2 Square units.

= ½ × 64  =   32     Square units.

small square   (diagolal 4)

½ × 16 Square units. = 8  square inches

Area shaded  32-8 = 24 square inches

Select the Equation that has a solution of: (b=6)
A.6+b = 8
B.Sb = 48
C.70 - b = 61
D.11-6=4

Answers

A : B=2
B : S=48/b
C : B=9
D : 5=4

The first 3 common denominators of 1/12and 1/4 are

Answers

The answer is 12, 24, 36 Hope this helps :)

solve for x.
hint: use your knowledge of parallel lines. what do you know about these angles? are they congruent or supplementary?

Answers

Answer:

x = 11

Step-by-step explanation:

The given angles are supplementary which means their sum is 180

8x - 6 + 98 = 180 add like terms

8x + 92 = 180 subtract 92 from both sides

8x = 88 divide both sides by 8

x = 11

If f(x) = 4x - 6, what is f(6)?
A. 32
B. 3
o
C. 4
O D. 18

Answers

Answer:

18 is the correct answer

Step-by-step explanation:

to find f(6) you only need to put value 6 in place x and then simple  addotion subtraction

f(6)=4(6)-6

f(6)=24-6

f(6)=18

which is greater 20.903 or 2.209

Answers

Answer:

20.903

Step-by-step explanation:

Answer:

20.203

Step-by-step explanation:

[Please read first] I will NOT be taking links or download files as an answer you may NOT get credit for it thank you.

A rectangular prism has a length of 9 in., a width of 4 in., and a height of 1 1/2 in.

The prism is filled with cubes that have edge lengths of 1/2 in.

How many cubes are needed to fill the rectangular prism?
Enter your answer in the box.
To fill the rectangular prism, [ ] cubes are needed.

Answers

Answer:

108

Step-by-step explanation:

To find the volume of a rectangular prisms just multiply its dimensions together then you should get a volume of 54 in² then divide by 1/2 to find out how many cubes will fit in the prism

Please help its urgent
Alexandra finds out that she can give 3 haircuts and 2 hair dyes in 315 minutes.Giving 2 hair cuts and 4 hair dyes takes 450 minutes.How long does it take her to do 1 haircut.
3x+2y=315
2x+4y=450
30 minutes
45 minutes
60 minutes 3x+4y=450
90 minutes 2x+4y=315

Answers

450/30

15

15/3x =5

x= 5

5+2y= 315

5-5+2y =315-5

2y = 310

2y/2 = 310/2

y=155

Step-by-step explanation:

450/45

10

2x+4y=450

2×5=10

10+(4×155)

=620/155

=4

10/5=2

is a negative number to the seventh power negative

Answers

7 is an odd number since it can't be divided evenly by 2.

A negative number taken to an odd power will always be negative.

For example, -1⁵ is -1 because 5 is an odd number.

What is the diameter of a circle if the circumference is approximately 47.12 ft?

FREE POINTSS

Answers

Answer:

94.24 ft and thank you!

Step-by-step explanation:

Answer:94.24ft

Step-by-step explanation:thx :)

The dot plots show the total number of hours students spent on homework for one week at
two different schools.
Which statement is supported by the information in the dot plots?

Answers

Answer:

B

Step-by-step explanation:

Other Questions
hi don't answer this questions Which territories did the united states gain control of as a result of the spanish-american war? select three options. Cubaguamhawaiipanamaphilippines. What is the standard deviation of 1 2 3 4 5? choose all statements that are true regarding postsynaptic potentials? multiple select question. they include epsps and ipsps. they depend on the myelination of nerve axons. they are changes in the membrane potential of the postsynaptic terminal of a chemical synapse. they are caused by neurotransmitters. Which of the following statement is NOT true about Psychoanalysis?A. Psychoanalysis lost its practicality due to its lengthy procedureB. This approach is a breakthrough in psychologyC. Psychoanalysis is a practical methodD. Psychoanalysis theory discovered by Sigmund Freud The concentration C(t) of a certain drug in the bloodstream after t minutes is given by the formula C(t)=0.05(1e^0.2t). What is the concentration after 12 minutes? Round to three decimal places. The firt Anglo- Dutch war tarted in 1852, when the Dutch fleet violated the Navigation Act, which protected Englih ea trade route. True or Fale? What kind of roots does 3x 2x 1 0? What is the purpose of the ISOO CUI Registry?A. A government-side online repository for Federal-level guidance regarding CUI policy and practice - Correct AnswerB. A DoD online repository for foreign guidance regarding CUI policy and practiceC. A DoD secure communications between Adjudicators, Security Officers and Component Adjudicators in support of eligibility and access managementD. A government-wide database of privacy information used to identify individuals' personally identifiable information (PII) A pilot flies in a straight path for 130 minutes. She then makes a course correction, heading 10 to the right of her original course, and flies 145minutes in the new direction. If she maintains a constant speed of 600 miles per hour, how far is she from her starting position? Round your answer to the nearest mile. Enter deg after any degree value. What is the range of Y 3x 1? What key value does Accenture's my consent to bring to clients looking for automated solutions? Shopkeeper compares sales of laptops in July and August In August the price has increased by 1/3And number sold has decreased by 2/5What fraction does the income decrease in August Simplify (8b)(15b). 120b2 120b2 120b 120b If a firms production creates detrimental externalities, then in a competitive market? Patty needs 3/4 cup of bananas to make a loaf of banana bread.Patty has 1 1/3 cups of bananas.Does Patty have enough bananas to make 2 loaves of banana bread? Order the figures below according to their volumes from least (on top) to greatest (on bottom). Is the president pro tempore of the Senate the highest position in the Senate? shen, antonio, and dmitri are roommates who are trying to decide how much money to spend on heat in their apartment each month. Algebra 2 - U2 L2 - Multiplying and Dividing Radical Expressions