A building is 1 ft from a 11-ft fence that surrounds the property. A worker wants to wash a window in the building 14 ft from the ground. He plans to place a ladder over the fence so it rests against the building. He decides he should place the ladder 9 ft from the fence for stability. To the nearest tenth of a foot, how long a ladder will he need

Answers

Answer 1

Answer:

17.2 feet

Step-by-step explanation:

The ladder is placed 9 feet away from the fence, which is 1 foot away from the building. Therefore, the ladder is [tex]9+1=10[/tex] feet away from the building.

We know that the window is 14 feet above ground.

We now have a triangle which we need to find the hypotenuse of.

  /|      

/  |   14  

/_|

10

To find the hypotenuse, we can use the Pythagorean Theorem. This states that [tex]a^2+b^2=c^2[/tex], where a and b are the legs of a triangle and c is the hypotenuse.

The legs are 10 and 14, so lets substitute inside the equation.

[tex]10^2 + 14^2 = c^2\\\\100+196=c^2\\\\296=c^2\\\\c = \sqrt{296}\\\\c \approx 17.2[/tex]

Hope this helped!


Related Questions

Katy is deciding which charity to donate to. She is going to donate fifty dollars to each charity chosen, and she can donate to a women's shelter (abbreviated B), a charity for rescue animals (abbreviated R), and a children's foundation (C). The dots in the Venn diagram below show the combinations that she can donate to. Let X be the event of donating fifty dollars each to two charities for a total of one hundred dollars. Let Y be the event of donating to the charity for rescue animals. Move the dots on the Venn diagram to place the dots in the correct event, X, Y,or X AND Y. Note that you might not use all of the dots.

Answers

Answer:

Step-by-step explanation:

Find x if EC is a bisector
AC = 3x+6 and CD = 2x + 14
ay
E
236
CON=-8
x=20
On=-20
KID X=8
Description​

Answers

Answer:

x = 8

Step-by-step explanation:

If EC is a bisector of AC and CD, then AC is equal to CD.

Given AC = 3x+6 and CD = 2x + 14, since AC = CD then;

3x+6 = 2x+14

subtract 6 from both sides

3x+6-6 = 2x+14-6

3x = 2x+8

subtract 2x from both sides

3x-2x = 2x+8-2x

x = 8

Hence the value of x is 8

a line passes trough the point (1/2,2/3) and has a y intercept of 4. what is the slope of the line written as a fraction?​

Answers

Answer:

I believe the Slope is (m) =

ΔY

ΔX

= 1/1 = 1. The answer is 1/1 instead of 1.

Step-by-step explanation:

What is the slope of the line on the graph?

Answers

Answer: C

Step-by-step explanation:

To find the slope of the line, we need to use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. Let's take any 2 points in the graph. (-2,-1) and (1,5)

[tex]m=\frac{5-(-1)}{1-(-2)}=\frac{6}{3}=2[/tex]

Now, we know that the slope is 2.

Answer:

2

Step-by-step explanation:

To get the slope, identify two points where the line cuts both the x and the y axes.

Then apply the formula for finding the slope;

Slope = (changer in y-coordinates) ÷ (change in x-coordinates)

And the answer is 2

HELPPPP PRECALC WILL GIVE BRAINLIEST

Answers

Answer:

500

600

500

Step-by-step explanation:

***ECONOMINCS*** Which statement best summarizes the role of households in the flow of
goods?
A. Households sell products created in product markets.
B. Households provide natural resources to businesses.
C. Households trade goods between product and resource markets.
D.Households act as consumers for goods made by businesses.

Answers

The final customers of a companies' products and services are the households. They generate demand in the market dependent on their preferences, and further discussion can be defined as follows:

As per the market demand, the businesses manufactured and provided items in the market and the nation's production line is determined by its families.Households consume the commodities supplied by the companies in a circular flow diagram.It could contribute land for the production of goods, or it may offer itself as the source of employment.It also provides capital, which would be a monetary type of investment that enables businesses to generate consumer products.

Therefore, the final answer is "Choice D"

Learn more:

brainly.com/question/22097439

Answer:

D.Households act as consumers for goods made by businesses.

Step-by-step explanation:

-1+2z-z^2 Terms: ? Coefficients: ? the constant term is: ?

Answers

Answer:

Terms: -1, 2z, -z²

Coefficients: 2, -1

Constant Term: -1

Step-by-step explanation:

Terms are a set of numbers. It can be accompanied by a variable or not.

Terms: -1, 2z, -z²

Coefficients are the numbers that are in front of a variable.

Coefficients: 2, -1

Constant term is just a number, with no variable attached to it.

Constant Term: -1

7x + 3y = 9 (for x)


solve it for x

Answers

Answer:

x = 9/7 - (3 y)/7

Step-by-step explanation:

Solve for x:

3 y + 7 x = 9

Hint: | Isolate terms with x to the left-side.

Subtract 3 y from both sides:

7 x = 9 - 3 y

Hint: | Solve for x.

Divide both sides by 7:

Answer: x = 9/7 - (3 y)/7

Answer:

x = ( 9 - 3y ) / 7

Step-by-step explanation:

To solve this equation for x, we will simply isolate the x.

7x + 3y = 9

7x = 9 - 3y

x = ( 9 - 3y ) / 7

Cheers.

Solve each expression using the correct order of operations,
7- 5 + 3 x 10

Answers

Answer:

28 is your answer

Step-by-step explanation:

you start with multiplication and continue with addition and then go to subtraction

Answer:

32

Step-by-step explanation:

3×10 comes first because BIDMAS : brackets () indeces divide ÷ multiply× addition + subtraction -

So 30

7-5+30 = 32

How do you do this problem?

Answers

Step-by-step explanation:

∫ t⁷ e^(-t⁴) dt

If x = -t⁴, then dx = -4t³ dt, and ¼ x dx = t⁷ dt.

∫ ¼ x eˣ dx

If u = ¼ x, then du = ¼ dx.

If dv = eˣ dx, then v = eˣ.

∫ u dv = uv − ∫ v du

= ¼ x eˣ − ∫ ¼ eˣ dx

= ¼ x eˣ − ¼ eˣ + C

= ¼ eˣ (x − 1) + C

Substitute back:

= ¼ e^(-t⁴) (-t⁴ − 1) + C

The procedure would be as demonstrated in the attachment(s). As you can see your solution will be,

[tex]\frac{1}{4}\left(-e^{-t^4}t^4-e^{-t^4}\right)+C[/tex]

A random sample of 10 subjects have weights with a standard deviation of 9 8753 kg What is the variance of their weights? Be sure to include the appropriate units with the result.​

Answers

Answer: The variance of their weights = 9,752,155,009 kg.

Step-by-step explanation:

The variance is the square of the standard deviation . it measures the spread between data values in a data set.

So if standard deviation of 10 subjects = 98753 kg

Then, variance = [tex](9 8753 )^2\ kg=9,752,155,009\ kg[/tex]

Hence, the variance of their weights = 9,752,155,009 kg.

ILL GIVE YOU BRAINLIST !!! SHOW WORK

Answers

Answer:

45

Step-by-step explanation:

5z^x

Substitute each number for the right letter

5(-3)^2

5(9)

45

Pleaseee. helpppl

Find the most important variable in the problem.

There are 13 fish in an aquarium. Seven of the fish are guppies. How many
non-guppies are in the aquarium?

A. the total number of fish
B. the number of guppies
c. the number of non-guppies

Answers

Answer:

C. the number of non-guppies

Step-by-step explanation:

The number of non-guppies is the only variable the other two options have defined values.

Answer:

C, The number of non- guppies is the most important variable.

Step-by-step explanation:

The answer is the unknown variable that you're trying to find and the entire problem is to help you find the unknown.

If the probability of getting a particular result in a experiment is 75.3% what is the probability of not getting the result

Answers

Answer:

100%-75.3%

Step-by-step explanation:

The total probability of all outcomes is 100%.

If the probability of a particular result is 75.3% then all other possibilities (not the particular event) must equal 100% - 75.3%.


What is the distance between the point in Maine and the point in Tennessee? Round to the nearest tenth. ​

Answers

Answer:

The distance between the point is 1806 unit

Step-by-step explanation:

Given that,

The distance between the point in Maine and the point in Tennessee.

Suppose, The points are (-801,670) and (990,900)

We need to calculate the distance between the point

Using formula of distance

[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

Put the value into the formula

[tex]d=\sqrt{(990-(-801))^2+(900-670)^2}[/tex]

[tex]d=1806\ unit[/tex]

Hence, The distance between the point is 1806 unit.

6x-2=7x+9 find x plz help

Answers

Answer:

[tex]x=-11[/tex]

Step-by-step explanation:

[tex]6x-2=7x+9[/tex]

Add 2 to both sides:

[tex]6x-2+2=7x+9+2[/tex]

[tex]6x=7x+11[/tex]

Subtract 7x from both sides:

[tex]6x-7x=7x+11-7x[/tex]

[tex]-x=11[/tex]

Divide both sides by -1:

[tex]\frac{-x}{-1}=\frac{11}{-1}[/tex]

[tex]x=-11[/tex]

Answer:

X= -11

Step-by-step explanation:

Simplifying

6x + -2 = 7x + 9

Reorder the terms:

-2 + 6x = 7x + 9

Reorder the terms:

-2 + 6x = 9 + 7x

Solving

-2 + 6x = 9 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.

-2 + 6x + -7x = 9 + 7x + -7x

Combine like terms: 6x + -7x = -1x

-2 + -1x = 9 + 7x + -7x

Combine like terms: 7x + -7x = 0

-2 + -1x = 9 + 0

-2 + -1x = 9

Add '2' to each side of the equation.

-2 + 2 + -1x = 9 + 2

Combine like terms: -2 + 2 = 0

0 + -1x = 9 + 2

-1x = 9 + 2

Combine like terms: 9 + 2 = 11

-1x = 11

Divide each side by '-1'.

x = -11

Simplifying

x = -11

Question 14 Multiple Choice Worth 1 points)
(02.05 LC)
+
The amount $4.50 is 6% of what price?
O $10.50
O $13.30
O $27.00
O $75.00

Answers

Answer:

.27

Step-by-step explanation:

4.5*6/100

=.27

Answer:

$27.00

I stayed up all night studying for this test and I got the question right haha

can someone do it :) Simplify 5(x - 6).

Answers

Answer:

5x - 30

Step-by-step explanation:

I used the distributive property and I think I got it.

Answer:

5 x minus -30

x is equal to -6

hope this helped you

please mark as the brainliest (ㆁωㆁ)

My lawn is 17ft wide and 20ft long, each square foot of lawn gets 1350 new snowflakes per min how much snow in kilograms accumulates every hour average mass of snowflake is 1.70mg

Answers

Answer:

46.818 kg

Step-by-step explanation:

First, find the surface area of your yard. This is found by multiplying the length and width.

The equation for this is (l*w)=sa

So,

l=20ft

w=17ft

(20*17)= 340 square feet.

So, if each square foot gets 1350 new flakes per minute, you are going to find how much the entire yard gets in a minute by multiplying the surface area by 1350.

So,

(340*1350)= 459000  flakes for the entire yard in one minute.

Since there is 60 minutes in an hour, multiply 459,000 by 60.

459,000*60= 27,540,000  new flakes in the yard per hour.

Now, to find the weight in milligrams:

27,540,000*1.7= 46,818,000  mgs

Finally, because a kilogram is equal to one million milligrams (mg),

46,818,000/1,000,000= 46.818 kg

4.Calculate the average rate of change for the given graph from x = 0 to x = 3 and select the correct answer below.
PLEASE HELP

Answers

Answer:

I think it's x3-x=0 but is not you can use a math app and take a picture

Answer:

-2

Step-by-step explanation:

(6,0)-(0,3)

It goes don -6 and over 3

-6/3=-2

Which of the numbers 8,9, or 10 is the solution to 70=8-x

Answers

Answer:

Step-by-step explanation:

Add x to both sides.

70 +x = 8

Subtract 70 from both sides.

x = 8 - 70

x = - 62

None of the answers fit.

A farmer rents pastureland for 8$ per acre plus a monthly fee of $200. Write an expression that can be used to find the total monthly cost. Then find the cost of renting 25 acres​

Answers

Answer:

A. [tex] 8n + 200 [/tex], $400.

Step-by-step explanation:

Monthly rent per acre for pasture land = $8

Additional monthly fee = $200

Let n represent the number of acres.

Therefore, expression for the total monthly cost would be:

[tex] 8n + 200 [/tex].

If the farmer wants to rent 25 acres of pasture land, the expression, [tex] 8n + 200 [/tex], can be used in calculating the total cost by simply plugging in the value of n, which would be 25 in this case.

Total monthly cost for 25 acres = [tex] 8(25) + 200 [/tex].

[tex] = 200 + 200 [/tex]

[tex] 400 [/tex].

Total monthly cost = $400

6.4n-1.2+3n+8.2=19.22

What number would make the statement true

Answers

Answer:

Step-by-step explanation:

6.4n - 1.2 + 3n + 8.2 = 19.22

So we can separate the variable side on the left, and the whole numbers on the right.

6.4n + 3n = 19.22 - 8.2 + 1.2

which gives us,

9.4n = 12.22

n = 1.3

WILL GIVE BRAINLIEST!!Deepak is a landscaper who charges $30 for each job he does plus an additional $15 for each hour he works. He only accepts jobs if he will earn at least $90 the job. He writes this inequality to determine x, the number of hours he must work during each job in order to accomplish this.

30 + 15 x greater-than-or-equal-to 90

Which best describes the restrictions on the jobs Deepak will accept?
He only accepts jobs that last 4 or more hours.
He only accepts jobs that last 5 or more hours.
He only accepts jobs that last 8 or more hours.
He only accepts jobs that last 9 or more hours.

Answers

Answer:

He only accepts jobs that last 4 hours or more.

Step-by-step explanation:The number of hours is x and so when you plug in 4 hours into the equation. 30+15 (4) it equals exactly 90

32 times 18 +52 = what plz help

Answers

Answer:

3640 and hi its meeeee i finally found you

Step-by-step explanation:

The answer is 68. Using bodmas rule in math, you have to work out the multiplication part first. Followed by adding them together

Alessandro wrote the quadratic equation -6=x2+4x-1 in standard form. What is the value of c in his new equation?
a.c=-6
b.c=-1
c.c=5
d.c=7
Answer is C.

Answers

answer: C

Explanation: It’s says right there



Choose the expression that represents the prime factorization of 96.

3.24

6.8.2

3.25

3.2.2.2.2

Answers

Answer:

3.2.2.2.2...

Step-by-step explanation:

The prime factors of 96 are written as 2 x 2 x 2 x 2 x 2 x 3 or 3 x 25, where 2 and 3 are the prime numbers

A company makes a profit of 35$ per video game. The company can produce at most 200 software programs and at most 300 video games per week. How many items of each kind should be produced per week in order to maximize the profit? Use linear programming to solve. Show all your work.

Answers

Answer:

Let x = software program

Let y = video game

x < 200 ; y < 300

x + y < 425

50x ; 35y

x = 200 ; y = 225

50(200) + 35(225) = 10,000 + 7,875 = 17,875

x = 125 ; y = 300

50(125) + 35(300) = 6,250 + 10,500 = 16,750

x = 175 ; y = 250

50(175)  + 35(250) = 8,750 + 8,750 = 17,500

It is more profitable to maximize production of software program when working within the limits provided.

Step-by-step explanation:

Find the inverse of s.
= {(-2, -7), (0, -3), (2, 1), (4, 5), (5, 7)}

Answers

Answer:

( − 7 , − 2 ) , ( − 3 , 0 ) , ( 1, 2 ) , ( 5 , 4 ) , ( 7 , 5 )

From: iOE Your friend

:D :) *Be awesome.Be You*

(6 + √27) / 3 Sorry i wrote it wrong the first time.

Answers

3.73205081 i think it right hope it helps

Answer: [tex]2 + \sqrt{3}[/tex]

==============================================

Work Shown:

[tex]\frac{6 + \sqrt{27}}{3}\\\\\frac{6 + \sqrt{9*3}}{3}\\\\\frac{6 + \sqrt{9}*\sqrt{3}}{3}\\\\\frac{6 + 3\sqrt{3}}{3}\\\\\frac{3(2 + \sqrt{3})}{3}\\\\2 + \sqrt{3}\\\\[/tex]

The idea with simplifying the square root (steps 2 through 4) has us factoring 27 so that one factor is a perfect square. We want the largest perfect square factor possible.

That way when we use the rule sqrt(x*y) = sqrt(x)*sqrt(y), we pull out that perfect square to then use the rule sqrt(x^2) = x where x is nonnegative.

After simplifying the square root, we factor out the GCF and then cancel out the 3's.

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