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?

Answer:

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

The graph of the line is also attached.

Step-by-step explanation:

Given

Using the point-slope form of the line equation

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

where

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:

The graph of the line is also attached.

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

Step-by-step explanation:

Answer: m = 0.75

Step-by-step:

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.

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)

Answer:

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

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

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

Answer:

3

Step-by-step explanation:

-3/-1 = 3

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

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)

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.

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

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].

Answer:36

Step-by-step explanation: i did the math

Answer:

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

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

OMG ITS A FUNNY NUMBER

HAHAHAHHA

cringe, cringe, cringe, cringe, cringe

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!

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

Answer:

$120

Step-by-step explanation:

Answer:

Step-by-step explanation:

if the store marks up the price by 40%

119*(40/100)=47.60

119+47.60=166.60

Answer:

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

Step-by-step explanation:

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

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

Answer:

35 degrees

Step-by-step explanation:

add all the one degrees together

Answer:

              J < -7

Explantion:

Rewrite so J is on the left side

                  -20j > 140

               Divide each term by -20 and simplify

                   j < -7          

Step-by-step explanation:

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

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

Answer:

D

Step-by-step explanation:

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.

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