ladder is 8 ft long . The ladder needs to reach to a window that is 6 ft above the ground . How far away from the house should the bottom of the ladder be placed ?

Answers

Answer 1

Answer:

5.3 or 28

Step-by-step explanation:

[tex]6^{2}[/tex]+[tex]b^{2}[/tex]=[tex]8^{2}[/tex]

36+[tex]b^{2}[/tex]=64

64-36=28

[tex]\sqrt{28\\}[/tex]

=5.29 or 5.3


Related Questions



Express your answer as a polynomial in standard form.

f(x) = x² – 3x + 9

g(x) = 5x – 9

Find: (gof)(x)

Answer:

Answers

Answer:

g(f(x)) = 5x^2 - 15x + 36

Step-by-step explanation:

f(x) = x² – 3x + 9

g(x) = 5x – 9

(g o f)(x)

g(f(x))

x = f(x) = x^2 - 3x + 9

g(x^2 - 3x + 9)

= 5(x^2 - 3x + 9) - 9

g(f(x)) = 5x^2 - 15x + 36

NEED HELP ASAP PLS!!

(08.03) Consider the following pair of equations:

y = 3x + 3
y = x − 1

Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.

Answers

Answer:

(1,0)

Step-by-step explanation:

1. x - 1 =3x+3

2. 3x - x = 2x

3. -1+ 3 = 2

4. 2x = 2

5. 2/2 = 1

x = 1

6. 1-1 = 0

y = 0

(1,0)

In a company, the ratio of the number cashiers is 20:3. If there are 120 workers in the company,
how many cashiers are there ?

(A)17
(B)18
(C)21
(D) 23

Answers

9514 1404 393

Answer:

  (B)  18

Step-by-step explanation:

Multiply each of the numbers in the ratio by 6.

  workers : cashiers = 20 : 3 = 120 : 18

There are 18 cashiers for 120 workers.

Numbers Of pizza to order
What is the slope of the line

Answers

U can order 1 pizza lol
I’d like half pepperoni and half cheese with a Diet Coke

P(A) = 0.8, P(B) = 0.55 and P(A and B) = 0.35.
What is P(A or B)?

Answers

Answer:  1

Work Shown:

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 0.8 + 0.55 - 0.35

P(A or B) = 1.35 - 0.35

P(A or B) = 1

A probability of 1 means there is 100% certainty the event happens. This must mean that there are only possible outcomes are: either event A happens, or B happens, or possibly both A and B happen simultaneously.

The length of a rectangle exceeds its width by 1
inch and the area is 132 square inches. What
are the length and width of the rectangle?

Answers

Answer:

Width equals 11, and length equals 12.

Step-by-step explanation: It is helpful to memorize your multiplication tables up to 12. I personally couldn't figure out a formula for this, but I knew that 12 x 11 equals 132, and the length is greater than the width, so length is 12 and width is 11. Hopefully somebody else can figure it out. P.S. I meant the formula, not the answer, my answer is correct.

Answer:

[tex]l(l - 1) = 132[/tex]

[tex] {l }^{2} - l - 132 = 0 [/tex]

[tex](l - 12)(l + 11) = 0[/tex]

[tex]l = 12 \: or \: l = - 11[/tex]

[tex]length \: must \: be \: postive[/tex]

[tex]integers[/tex]

[tex]l = 12 \: and \: w = l - 1 = 11[/tex]

plato

1. A statistician calculates that 8% of Americans are vegetarians. If the statistician is correct, what is the probability that the proportion of vegetarians in a sample of 569 Americans would be greater than 9%?2.The mean points obtained in an aptitude examination is 166 points with a standard deviation of 19 points. What is the probability that the mean of the sample would differ from the population mean by less than 1.1 points if 66 exams are sampled?

Answers

Answer:

1) the probability that the proportion of vegetarians in the sample would be greater than 9% is 0.1902

2) the probability that the mean of the sample would differ from the population mean by less than 1.1 points in the is 0.3616

p( /x" - u/ < 0.47 ) = 0.3616

Step-by-step explanation:

1)

Given that;

p = 8% = 0.08 and n = 569

what is the probability that the proportion of vegetarians in a sample of 569 Americans would be greater than 9% (0.09)

that is;

p( p" > 0.09) = ?

p( p" > 0.09) = p( z > [(0.09 - 0.08)/(√((0.08(1 - 0.08))/569))] )

= p( z > (0.01 / 0.0114))

= p ( z > 0.8772)

= 0.1902

Therefore the probability that the proportion of vegetarians in the sample would be greater than 9% is 0.1902

2)

Given that;

mean points obtained in an aptitude examination u = 166

standard deviation α = 19

sample size n = 66

x" - u = 1.1

first we say

x-score = (x" - u) / (α/√n) = 1.1 / (19/√66) = 1.1 / 2.3387 = 0.47

p( -0.47 < z < 0.47 )

= p( z < 0.47) - p( z < - 0.47)

= 0.6808 - 0.3192

= 0.3616

Therefore the probability that the mean of the sample would differ from the population mean by less than 1.1 points in the is 0.3616

p( /x" - u/ < 0.47 ) = 0.3616

f(x)=0.5-2xsquared find the value of f(x) when x=0

Answers

Answer:

f(0) = 0.5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 0.5 - 2x²

x = 0

Step 2: Evaluate

Substitute in x:                    f(0) = 0.5 - 2(0)²Exponents:                          f(0) = 0.5 - 2(0)Multiply:                               f(0) = 0.5 - 0Subtract:                              f(0) = 0.5

Answer:

f ( 0 ) = 0.5

Step-by-step explanation:

Step 1:

f ( x ) = 0.5 - 2x²          Function

Step 2:

x = 0          Given

Step 3:

f ( 0 ) = 0.5 - ( 2 ( 0 ) )²         Multiply

Answer:

f ( 0 ) = 0.5

Hope This Helps :)

A building is 1ft from an 11 ft fence that surrounds the property. A worker wants to wash a window in the building 14ft from the ground. He plans to place a ladder over the fence so it rests against the building. He decided he should place the ladder 11ft from the fence for stability. To the nearest tenth of a foot, how long a ladder will he need?

Answers

Answer:

L = 18,4 ft

Step-by-step explanation:

The building, the ground, and the ladder make up a right triangle, with legs:

The distance (a) between the bottom of the ladder and the building 12 ft

The distance (b) between the gound and the window 14 ft up

The hypothenuse is the length of the ladder (L)

According to Pythagoras theorem

L²  = a²  + b²

L  = √  (12)²  +  (14)²

L = √ 144 + 196

L = √ 340

L = 18,4 ft

A coordinate plane with 2 lines. The first line is labeled y equals f(x) and passes through (0, 4) and (1, 1) The second line is labeled y - g(x) and is horizontal passing through (negative 2, 2), (0, 2), and (2, 2). The lines intersect at a point that is slightly to the right of (0.5, 2).
If f(x) = −3x + 4 and g(x) = 2, solve for the value of x for which f(x) = g(x) is true.

x = ______

Answers

Answer:

2/3

Step-by-step explanation:

cuz it is

Answer:

2/3

Step-by-step explanation:

the point that doesn't lie to a straight line y=-4x+12 is​

Answers

Answer:

12?

Step-by-step explanation:

if two dice are rolled one time, find the probability of getting a sum less than or equal to 4 ​

Answers

Answer:

The probability of getting a sum less than or equal to 4 ​is 1/6.

Step-by-step explanation:

When two dices are rolled, the number of outcomes are: 6*6 = 36 which is written in ordered pairs consisting of outcome of both dices.

When two dices are rolled, the number of sample space elements is:

[tex]n(S) = 36[/tex]

Let A be the event that the sum of outcomes is less than or equal to 4:

[tex]A = \{(1,1),(1,2),(1,3),(2,1),(2,2),(3,1)\}[/tex]

That implies

[tex]n(A) = 6[/tex]

The probability of getting sum less than or equal to 4 will be:

[tex]P(A) = \frac{n(A)}{n(S)} = \frac{6}{36} = \frac{1}{6}[/tex]

Hence,

The probability of getting a sum less than or equal to 4 ​is 1/6

The probability of getting a sum less than as well as equivalent to 4 will be "[tex]\frac{1}{6}[/tex]".

Probability:

The probability that may be an outcome will happen together in random experiment. The greater the likelihood of such an occurrence, the further probable it will materialize.

Let,

The event that the sum less than as well as equivalent to 4 be "A".

According to the question,

Whenever the 2 dices are rolled, the no. of outcomes will be:

= 6 × 6

= 36

and,

The no. of sample elements will be:

n(S) = 36

Now,

A = {(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (3, 1)}

The probability be:

P(A) = [tex]\frac{n(A)}{n(S)}[/tex]

           = [tex]\frac{6}{36}[/tex]

           = [tex]\frac{1}{6}[/tex]

Thus the response above is correct.

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jack was 8 years older than priscilla. together their ages totaled 154 years. what were their ages?

Answers

Answer:

Jack is 81, Priscilla is 73

Step-by-step explanation:

Because their age difference is 8 years, we can subtract 8 from the total 154 years to get 146. Then we divide by 2 to get 73, so Priscilla is 73. Jack is 8 years older, so therefore he is 81. We can check this by adding 81 + 73 = 154.

what is a correlation co-efficient?

Answers

Answer:

Correlation coefficients are used when you are doing statistics to find or measure how strong a relationship is between two variables.

Step-by-step explanation:

Students from Texas, New York, Washington, Florida, and Utah identified their area of concentration at various universities. The results are listed in the table.

One of these students is selected at random. What is the probability that the student is from the state of Washington under the condition that the student studies history?

Enter a number in the box.

Answers

Students who study history: 132

Number of students from Washington who study history: 20

The probability of Washington given history is 20/132. In simplest form, the probability is 5/33

The probability of a random student who is from Washington and studies history is [tex]\frac{5}{33}[/tex].

What is probability?

Probability is the chance of happening an incident or event. A probability is calculated by the ratio of the possible outcomes to total number of outcomes.

Given, the total number of students of History

= (30 + 17 + 20 + 32 + 33) = 132

The number of students from Washington who studies history = 20.

Therefore, the probability that the student is from the state of Washington under the condition that the student studies history is = [tex]\frac{20}{132} = \frac{5}{33}[/tex] .

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The ages of three teachers are consecutive even integers. Three times the age of the youngest teacher is 48 years more than the older teacher’s age. What is the age of the youngest teacher?A.14 B.18 C.22 D.26

Answers

Answer:

B

Step-by-step explanation:

The answer is B 18.

4. Tom and Bina read 34 books in a month. Bina and Weiming read 58 books in the
same month. Weimning read twice as many books as Tom. How many books did
Bina read in that month?​

Answers

Answer:

92

Step-by-step explanation:

the question is only asking how many books Bina read, so the amount of books Weimning read is irrelevant.

to get the answer, you have to add both the amount of books bina read in the month.

hope this helped :)

Hii I need the 7th and 8th question asap will mark brainliest 100% to who ever answers first and right thank you

Answers

8. EFD = 180 - EFA - AFC = 180 - 42 - 68 = 70
7. 100 and 80

remove it please......​

Answers

what do you need removing? I'll try to help

what's 9x - 7i > 3 (3x - 7u) ?

Answers

Step-by-step explanation:

9x-7i>9x-21u

-7i>-21u

i<3u

The solution to the given inequality 9x - 7i > 3(3x - 7u) is i < 3u.

Given that:

Inequality: 9x - 7i > 3 (3x - 7u)

To solve the inequality 9x - 7i > 3(3x - 7u), follow these steps:

Step 1: Distribute the 3 on the right side of the inequality as:

9x - 7i > 9x - 21u.

Step 2: Simplify the inequality.

9x - 9x - 7i > - 21u.

Step 3: Rewrite the inequality.

After cancelling out the 9x terms, we are left with -7i > -21u.

Step 4: Divide both sides by -7.

i < 3u

Therefore, the solution to the inequality 9x - 7i > 3(3x - 7u) is i < 3u.

Learn more about Inequality here:

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Find the Length of AC. Round answers to the nearest hundredth (2 decimal places)

Answers

Answer:

32.78

Step-by-step explanation:

Assuming that we have two right triangles joined together, with one having adjacent side a, with a side of 12 ft opposite reference angle 30°, and the other one having adjacent side b, with a side of 12 ft opposite reference angle 45°. Thus, a + b = length of AC.

Let's find a and b.

Finding a:

Reference angle = 30°

Opp = 12 ft

Adj = a

Using trigonometric ratio formula, we have:

tan(30) = 12/a

Multiply both sides by a

a*tan(30) = 12

Divide both sides by tan(30)

a = 12/tan(30)

a = 20.78 (nearest hundredth)

Finding b:

Reference angle = 45°

Opp = 12 ft

Adj = b

Using trigonometric ratio formula, we have:

tan(45) = 12/b

Multiply both sides by a

b*tan(45) = 12

Divide both sides by tan(45)

b = 12/tan(45)

a = 12

Length of AC = 20.78 + 12 = 32.78

5. A refrigerator is on sale for $1200. That is
25% off regular price. What was the original
price?

Answers

Answer: The original price is $4,800

Step-by-step explanation:

$1,200=25%

25%*4=100%

$1,200*4=$4,800=100%

1. Which equation represents the relationship shown in the table below? (1 point)

y = -x - 3
y=x-3
y = 2x - 3
y=-2x + 3

Answers

The third one is correct

The equation representing the relationship in the table is y = 2x - 3. The correct option is C.

What is an equation?

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between two or more variables.

Given data in the table:-

x              y

0              -3

1               -1

2              1

3              3

The equation satisfying the values of the table will be:-

y = 2x - 3

-3 = 2 x  0 - 3=-3

-1 = 2 x 1 - 3 =-1

1 = 2 x 2 - 3 = 1

3 = 2 x 3 - 3 = 3

Therefore, the equation representing the relationship in the table is y = 2x - 3. The correct option is C.

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Which situation cannot be represented by the equation 15 + x = 25?

Victor and Raul donated 25 cans of fruit to their local food bank. Victor donated 15 cans. What is, x, the number of cans Raul donated?

The day's low temperature read 15ºF. The day's high temperature read 25ºF. What is x, the amount of degrees the temperature increased throughout the day?

Jean has $25. She found $15 of the amount in her wallet and the rest in her coat pocket. What is x, the amount of money in her coat pocket?

Elizabeth worked 15 hours. Josh worked 25 hours. What is x, the amount of hours they worked together?

Answers

Answer:

the last answer about the jobs

Step-by-step explanation:

On Friday, a local hamburger shop sold a combined total of 436 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number
of hamburgers sold. How many hamburgers were sold on Friday?

Answers

115 hamburgers were sold

Help help please I really need it

Answers

The arrow will always point to the bigger number.

4.9 divided by 3581.9
Just help me

Answers

Answer:

.00136799

Step-by-step explanation:

4.9/3581.9 into a calculator

Answer:

.00136798905

Step-by-step explanation:

Used a calculator!

A triangle with side lengths of 10, 18, and 30 inches is similar to another triangle. The shortest side of the other triangle has length 3 inches. What is the perimeter, in inches, of the smaller triangle?

Perimeter = 9.5


Perimeter = 10.6


Perimeter = 15.2


Perimeter = 17.4

Answers

Answer:

wo similar figures have a ratio of 3:5. If 1 side of the smaller figure is 9 ... 12 in. What is the length of LM? x. = 12. 24. A. 13 in. C. 16 in. A. 10 ft. B. 14.4 ft ... How long is the corresponding side of the larger polygon? A. 18 cm. B. 24 cm ... 2. 10. An equilateral triangle has side lengths of 14 inches. Find the altitude of the

Step-by-step explanation:

The perimeter of the smaller triangle will be 17.4. Then the correct option is D.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

A triangle with side lengths of 10, 18, and 30 inches is similar to another triangle.

The shortest side of the other triangle has a length of 3 inches.

Then the perimeter of the smaller triangle will be

Let the other two sides of the smaller triangle be x and y. Then we have

3/10 = x/18 = y/30

From the first two terms, we have

3/10 = x/18

    x = 5.4 inches

Then from the first and third terms, we have

y/30 = 3/10

     y = 9

Then the perimeter of the triangle will be

P = 3 + 5.4 + 9

P = 17.4 inches

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Elizabeth spins each spinner once.





What is the probability the arrows will land on a consonant and the number 2?

Answers

20% is the answer

Hope this helps

Help plzz! 13 points and will give brainliest!

Answers

Answer: This is rly confusing

Step-by-step explanation:

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