the height of a shed is 6cm. a ladder leans agaisnt the shed with its base 4.5 m away, and its top just reaching the roof. what is the length of the ladder?

Answers

Answer 1

Answer:

4.5m

Step-by-step explanation:

The set up is a right angles triangle

Height of the shed = opposite side = 6cm

Distance of the ladder from the shed = adjacent = 4.5m

Lenght of the ladder = Hypotenuse = x

Using pythegoras theorem to find the length of the ladder

hyp² = opp²+adj²

hyp² = 0.06² + 4.5²

hyp²= 0.0036+20.25

hyp² = 20.2536

hyp = √20.2536

hyp = 4.50m

Hence the length of the ladder is 4.5m


Related Questions

Find the slope of each line.

Answers

Answer:

D

Step-by-step explanation:

- A bakery received 2 shipments of
sugar, each weighing 22.56 pounds.
If the manager divided all the sugar
equally among 24 canisters, how
many pounds of sugar did the
manager put in each one?

Answers

Answer:

1.88 pounds

Step-by-step explanation:

First, find the total amount of sugar, since there were 2 shipments

22.56(2)

= 45.12

Then, divide this by 24:

45.12/24

= 1.88

So, each canister had 1.88 pounds of sugar

URGENT PLEASE HELP 30-60-90 DUE TODAY PLEASE HELP IMPORTANT MATH

Answers

Answer:

Step-by-step explanation:tha answer is -120

Help! Anyone??

The graph below shows the relationship between the distance a car is driven and the numbers of gallons of gas used.

a. Find and interpret the slope.

b. Interpret the slope.

Answers

Step-by-step explanation:

not sure about this one sorry cant help ya but i do have a hint its B

PLS HELP WILL MARK BRAINIEST

Determine which car gets the better gas mileage (picture below)

Answers

Answer:

Car A

Step-by-step explanation:

All you have to do is find the rate of change

Distance            Gallons

300                     8

320                    10

Car A

300 : 8

37.5 : 1

Car B

320: 10

32  :   1

37.5 > 32

So Car A gets the better gas mileage.

Hope this helped!


A store pays $119 for a scooter. The store marks up the price by 40%.
What is the new price (nearest penny)?

Answers

Answer:

Step-by-step explanation:

if the store marks up the price by 40%

119*(40/100)=47.60

119+47.60=166.60

help asp
An owner of a pizza stand sold small slices of pizza for 15 cents each and large slices for 25 cents each. One night he sold 500 slices for total of $105. How many small slices of pizza did she sell?

______________ S=________

______________ L=________

Answers

Answer:

i really dunonjust need tho points sorry but have a blessed Dayyy

Step-by-step explanation:

Mary is paid $600 for 5 days of work. How much is she paid per day

Answers

Answer:

$120

Step-by-step explanation:

If I triple ____ and divide the result by 6,the quotient is 18
options
32
36
63
64

Answers

Answer:36

Step-by-step explanation: i did the math

The answer is 36 because you just simple reverse the equation3y/6=18 which is 18x6/3=y 18x6=108 108/3=36

tan A = 1/5 and tan B = 1/4

Find tan 2 (A-B) ​

Answers

Given:

[tex]\tan A=\dfrac{1}{5}[/tex]

[tex]\tan B=\dfrac{1}{4}[/tex]

To find:

The value of [tex]\tan^2(A-B)[/tex].

Solution:

We know that,

[tex]\tan (A-B)=\dfrac{\tan A-\tan B}{1+\tan A\tan B}[/tex]

Putting the given values, we get

[tex]\tan (A-B)=\dfrac{\dfrac{1}{5}-\dfrac{1}{4}}{1+\dfrac{1}{5}\cdot \dfrac{1}{4}}[/tex]

[tex]\tan (A-B)=\dfrac{\dfrac{4-5}{20}}{1+\dfrac{1}{20}}[/tex]

[tex]\tan (A-B)=\dfrac{\dfrac{-1}{20}}{\dfrac{20+1}{20}}[/tex]

[tex]\tan (A-B)=\dfrac{-1}{21}[/tex]

Taking square on both sides, we get

[tex]\tan^2 (A-B)=\left( \dfrac{-1}{21}\right)^2[/tex]

[tex]\tan^2 (A-B)=\dfrac{1}{441}[/tex]

Therefore, the value of [tex]\tan^2(A-B)[/tex] is [tex]\dfrac{1}{441}[/tex].

In 2013 Skittles changed the flavor of green from lime to sour apple (big mistake!!). Mrs. Rowland takes a small handful of 5 Skittles from a bin of 10,000 Skittles and gets ALL GREEN (terrible)! If 20% of the Skittles are green, what is the probability of this happening

Answers

Answer:

0.032% probability of this happening

Step-by-step explanation:

Since the distribution is very large(10,000 skittles), and there are only two possible outcomes(either the Skittles is green or it is not) we can use the binomial probability distribution as an approximation.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Handful of 5 skittles:

This means that [tex]n = 5[/tex]

20% of the Skittles are green

This means that [tex]p = 0.2[/tex]

What is the probability of this happening?

Probability of all skittles being green, so [tex]P(X = 5)[/tex].

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{5,5}.(0.2)^{5}.(0.8)^{0} = 0.00032[/tex]

0.032% probability of this happening

Pls help fast! Will mark first correct answer as brainliest!!!

Answers

Answer:

the first one is 267% and 400%

Step-by-step explanation:

but i don't know for the 2nd

Answer:

2/3 is 266.666667% of 1/4

2/3 is 400% of 1/6

Step-by-step explanation:

You just need to divide the second number by the first:

2/3 ÷ 1/4 = 2/3 · 4 = 2 2/3 which, in a percentage, is 266.666667.

2/3 ÷ 1/6 = 2/3 · 6 = 4 and 4 as a percentage is 400%

SECOND PAGE:

11.25 is 3333.3333333333% of 375

11.25 is 20% of 556.25

The length of a rectangle is 7.8 cm more than 4 times the width. If the perimeter of the rectangle is 94.6 cm, what
are its dimensions?
Select one:
O a. length = 23.8 cm; width = 15.7 cm
O b. length = 39.4 cm; width = 15.7 cm
O c. length = 39.4 cm; width = 7.9 cm
O d. length = 7.9 cm; width = 39.4 cm

Answers

Answer:

C, Length = 39.4 cm; width = 7.9 cm

Step-by-step explanation:

The permimeter of a rectangle is 2 times the width + 2 times the length or 2(l + w)

The length is 4 times w plus 7.8.

So:  2w+2(4w+7.8)=94.6

=  2w+8w+15.6=94.6  (Factor out the brackets)

=  10w+15.6=94.6  (Combine like terms)

=  10w=79  (Subtract 15.6 from both sides)

=  w=7.9  (Divide both by 10).

So, the width is 7.9 cm and the length is 39.4 cm (4 * 7.9 + 7.8)

Yea it’s c I agree with first answer

Mia is drawing an angle that is made up of 35 one-degree angles. How many degrees is Mia's angle?

Answers

Answer:

35 degrees

Step-by-step explanation:

add all the one degrees together

Solve the inequality.
140 < -20j

Answers

Answer:

              J < -7

Explantion:

Rewrite so J is on the left side

                  -20j > 140

               Divide each term by -20 and simplify

                   j < -7          

Find the slope of the line.
у
3
|(2, 1.5)
N
1
1
-4-3-2
1 2 x
-2
(-4, -3)

Answers

Answer: m = 0.75

Step-by-step:

What decimal represents 1/4

Answers

0.25 is the decimal that represents 1/4

In Roman Numerals, a bar means to multiply that number by 1000. What is 99 004 in roman numerals?

Answers

I’m pretty sure it’s XCIX IV I hope this helped

Helppp this is timed!!

Answers

Answer:

The answer must be D

Step-by-step explanation:

When a shape like a trapezoid is rotated, the figure will remain the same which means that a rotation will not change the measure of the angles, or the measure of the sides, therefore d must be correct because a rotation is a rigid transformation.

Fill in the blanks of the equation from the
given information.
The slope of the line is -3 and
goes through the point (13, 4).

Answers

Answer:

We conclude that the line of equation containing the point (13, 4)  with the slope m =-3 will be:

[tex]y=-3x+43[/tex]

The graph of the line is also attached.

Step-by-step explanation:

Given

The slope of the line = m = -3The point = (13, 4)

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where

m is the slope of the line(x₁, y₁) is the point

substituting the values m = -3 and the point (13, 4)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - 4 = -3(x-13)[/tex]

Add 4 to both sides

[tex]y-4+4=-3\left(x-13\right)+4[/tex]

Simplify

[tex]y=-3x+43[/tex]

Therefore, we conclude that the line of equation containing the point (13, 4)  with the slope m =-3 will be:

[tex]y=-3x+43[/tex]

The graph of the line is also attached.

17 = 3j + 2
Can some please help me?

Answers

Give me brainliest? 15 = 3j, so j=5

PLSSSS HELLPPPP MEEEEE I WILLL GIVEEE BRAINLIESSSTTT!!!!

Answers

Answer:

[tex]\displaystyle m=3[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (6, 8)

Point (5, 5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [SF]:                     [tex]\displaystyle m=\frac{5-8}{5-6}[/tex][Fraction] Subtract:                              [tex]\displaystyle m=\frac{-3}{-1}[/tex][Fraction] Divide:                                 [tex]\displaystyle m=3[/tex]

Answer:

3

Step-by-step explanation:

-3/-1 = 3

the slope of a line passing through (6,8) and (5,5) is 3.

Please help me asap thank you!

Answers

Answer:

6 and 7

Step-by-step explanation:

--_45"gfsu. tc. jkk

Answer:

6x-7

Step-by-step explanation:

1/3x12x=4x

1/3x6x=2x

1/3x21=7

4x+2x=6x

does anyone know this i will give brainliest

Answers

Answer: 1/4 is the answer I was given in my work.

Step-by-step explanation:

Find the x- and y-intercepts of the equation x – 5y = –15. Question 16 options: A) x-intercept: (0,3), y-intercept: (–15,0) B) x-intercept: (0,–15), y-intercept: (3,0) C) x-intercept: (–15,0), y-intercept: (0,3) D) x-intercept: (3,0), y-intercept: (0,–15)

Answers

answer:c)x-intercept:(-15,0) and y-intercept(0,3)

Step-by-step explanation:

x -5y= -15

x = -15

(-15,0)

y = -15 / -5

=3

(0,3)

PLZ PLZ HELP PLZ PLZ ILL GIVE BRAINLYEST

what is 24x83x2x16+5676

Answers

OMG ITS A FUNNY NUMBER

HAHAHAHHA

cringe, cringe, cringe, cringe, cringe

John read 1/3 of his book on the first day and 1/4 of the book on the second day. What fraction of the book does John have left to read?

Answers

Answer:

5/12

Step-by-step explanation:

The whole book is 1.

So This will be your equation.

1/3 + 1/4 = 1

4/12 +3/12 = 1

7/12 = 1

Now you minus 7/12 from 1

1-7/12 is how much is left

12/12-7/12= 5/12

The fraction that represents the book john has left to read is 5/12.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is that John read 1/3 of his book on the first day and 1/4 of the book on the second day.

Assume that the fraction that represents the book john has left to read is [x/y]. Then, we can write -

1/3 + 1/4 + x/y = 1

x/y = 1 - 7/12

x/y = 5/12

Therefore, the fraction that represents the book john has left to read is 5/12.

To solve more questions on Equation Modelling, visit the link below -

brainly.com/question/14441381

#SPJ2

help pls due today pls

Answers

Answer:

6.5y + 10

Step-by-step explanation:

Combine like terms:

0.5y + 6.5y - 0.5y + 10.5 - 0.5

= 6.5y + 10

Answer:

Step-by-step explanation:

0.5y+10.5+6.5y-0.5-0.5y=

6.5y+10

At the store for every 2 movies sold there 8 books sold. What is the radio of books sold to movies sold?

Answers

Answer:

The ratio of books sold to movies sold at the store is 4:1.

Step-by-step explanation:

Given that:

Number of movies sold at the store = 2 movies

Number of books sold at the store =  8 books

Ratio of books sold to movies sold at the store is

Books sold : Movies sold

8 : 2

[tex]\frac{8}{2}:\frac{2}{2}[/tex]

4 : 1

Hence,

The ratio of books sold to movies sold at the store is 4:1.

Can some help thx.

Eva has x dimes and y quarters. She has at most 18 coins worth a minimum
of $3 combined. Solve this system of inequalities graphically and determine
one possible solution.

Answers

Answer: Eva could have 6 dimes and 10 quarters.

y≤18−x

y≥12− 2/5x

Step-by-step explanation:

x+y≤18

0.10x+0.25y≥3

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