29. A painter leans a ladder against the side of a
house that is 3 feet from the base. If the top
of the ladder reaches 16 feet, how long is the
ladder ?

HELP! answer if you can!​

Answers

Answer 1

Answer:

16.2788 feet

Step-by-step explanation:

a²+b²=c²

3²+16²=c²

9+256=c²

265=c²

c=√265

c=16.2788 feet

Answer 2

If the ladder is 3 feet from the base of the house and the top is 16 feet from the base then the length of ladder is approximately 16.2788 feet long.

What is pythagoras theorem?

Pythagoras theorem says that in a right angled triangle the square of hypotenuse of triangle is equal to the sum of squares of base and perpendicular of that respective triangle.

[tex]H^{2} =P^{2} +B^{2}[/tex] where H is hypotenuse, P is perpendicular, B is base of triangle.

How to find length of ladder?

If a painter leans a ladder against a wall then it forms a right angled triangle so in this we will apply pythagoras theorem to find the length of ladder.

let the length of ladder be h so,

[tex]h^{2} =3^{2} +16^{2}[/tex]

[tex]h^{2} =9+256[/tex]

[tex]h^{2} =265[/tex]

h=[tex]\sqrt{265}[/tex]

h=16.2788 feet.

Hence the length of ladder is 16.2788 feet.

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29. A Painter Leans A Ladder Against The Side Of Ahouse That Is 3 Feet From The Base. If The Topof The

Related Questions

Determine what type(s) of angles are described by the following angle measures. Angle of 35 degrees.

Answers

Answer:

Acute.

Step-by-step explanation:

An angle of measure between 0 and 90 degrees is an acute angle.

Nimisha wants to draw a wheel like the one shown. Each shaded part of the wheel should be one-third of each unshaded part. What should be the degree measure of the angle formed at the center by each shaded part?

Answers

Answer:

Each shade has a 22.5 degree angle from the middle

Each unshaded has a 67.5 degree angle from the middle.

Step-by-step explanation:

You can solve this by making each unshaded part equal to x and each shaded part equal 1/3x it is a circle so it has to equal 360 so you end up with:

x + 1/3x + x + 1/3x + x + 1/3x + x + 1/3x = 360

Combine Like terms:

16/3x = 360

Multiply both sides by the opposite:

(3/16) (16/3x) = (360) (3/16)

x=135/2 or x=67.5

Then you can plug 67.5 in for x:

1/3x ---> 1/3(67.5) = 22.5

Find the sum of the geometric sequence. 1, 1/2,1/4,1/8,1/16

Answers

Answer:

31/16

or

1 15/16

Step-by-step explanation:

1/8 = 2/16

1/4 = 4/16

1/2 = 8/16

1 = 16/16

then:

1 + 1/2 + 1/4 + 1/8 + 1/16

= 16/16 + 8/16 + 4/16 + 2/16 + 1/16

=(16+8+4+2+1)/16

= 31/16

31/16 = 16/16 + 15/16 = 1 + 15/16 = 1 15/16

Find all values of $x$ such that \[\frac{2x}{x + 2} = -\frac{6}{x + 4}.\]If you find more than one value, then list your solutions, separated by commas.

Answers

Greetings from Brasil...

2X/(X + 2) = 6/(X + 4)

2X(X + 4) = 6(X + 2)

2X² + 2X - 12 = 0     ÷2

2X²/2 + 2X/2 - 12/2 = 0/2

X² + X - 6 = 0

Δ = 25

X' = 2X'' = - 3

S = {-3, 2}

By using factorization,  [tex]\frac{2x}{x+2} =\frac{6}{x+4}[/tex] , values of x are -2, 3.

What is factorization?

Factorization can be defined as the process of breaking down a number into smaller numbers which when multiplied together arrive at the original number. These numbers are broken down into factors or divisors.

Given

[tex]\frac{2x}{x+2} =\frac{6}{x+4}[/tex]

⇒ 2x(x + 4) = 6(x + 2)

⇒ [tex]2x^{2} +8x = 6x + 12[/tex]

⇒ [tex]2x^{2} +8x-6x-12=0[/tex]

⇒ [tex]2x^{2} +2x -12=0[/tex]

Divide above equation by 2, we get

⇒ [tex]x^{2} +x -6=0[/tex]

⇒ [tex]x^{2} +2x-3x-6=0[/tex]

⇒ [tex]x(x+2)-3(x+2)=0[/tex]

⇒ [tex](x+2)(x-3)=0[/tex]

⇒ x = -2, 3

By using factorization,  [tex]\frac{2x}{x+2} =\frac{6}{x+4}[/tex] , values of x are -2, 3.

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HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

9.6km

Step-by-step explanation:

Do 6x1.6 ÷1= 9.6km

Answer:9.6km

Step-by-step explanation: Recall BSM(big-small-multiply),so

1.6km×6

6 sqrt (x-2) +4 < 28

How do you solve? Btw.. x-2 is under sqrt sign.

Answers

Answer:

Step-by-step explanation:

[tex]6\sqrt{x-2}+4<28\\6\sqrt{x-2}<28-4\\\sqrt{x-2}<\frac{24}{6}\\\sqrt{x-2}<4\\\\x-2 <16\\x<16-2\\x<14x-2 \geq 0\\x\geq 2\\so~2 \leq x < 14[/tex]

Susan Johnson earns a yearly salary of $83,280. a. How much would Susan be paid if she were
paid monthly? b. How much would she be paid if she were paid bi-weekly?

Answers

Just divide the 83,280 by 12, when you do that you get 6940. So 6940 is how much she makes per month then you take that 6940 and divide it by 4 to get what she makes per week, when you do that you get 1735.

So, Susan Johnson would earn 6940$ per month if she would be paid per month and if she was paid per week she would earn 1735$ per week.

How many planes can be drawn through any three noncollinear points?

Answers

Answer:

1 plane

I hope this helps!

three people alice , ben , calvin, are conversing at a taxi stand since taxis are the only ride service in this town. although they havent met before ,they realize that all are going the same route to get desire destination. alice destination is 20 miles away , ben destination 30 miles away and calvins destination 40 miles away , the taxi costs 2 dollars per mile with tip included regardless of the number of passengers. how much should each person pay if the three share a cab to their respective destination

Answers

Answer:

Alice will have to pay $13.33

Ben will have to pay $23.33

Kelvin will have to pay $43.33

Step-by-step explanation:

Given that

Alice destination is 20 miles away

Ben destination is 30 miles away

Calvin destination is 40 miles away.

For a mile, taxi costs 2 dollars.

To find:

How much each person has to pay if they share the same taxi to their respective destinations?

Solution:

For the first 20 miles, the taxi will be shared by all 3 of them.

Charges for 20 miles = 20 [tex]\times[/tex] 2 = $40

This $40 will be shared among all 3.

Each will pay = [tex]\frac{40}{3} = \$13.33[/tex]

Charges for Alice = $13.33

Charges for Ben = $13.33

Charges for Calvin = $13.33

For the next 10 miles, the taxi will be shared by Ben and Calvin.

Charges for 10 miles = 10 [tex]\times[/tex] 2 = $20

This $20 will be shared between Ben and Calvin.

Each will pay = [tex]\frac{20}{2} = \$10[/tex]

Charges for Alice = $13.33

Charges for Ben = $13.33 + 10 = $23.33

Charges for Calvin = $13.33 + 10 = $23.33

For the next 10 miles, Calvin travels alone.

Charges for 10 miles = 10 [tex]\times[/tex] 2 = $20

This $20 will be paid by Calvin alone.

Charges for Alice = $13.33

Charges for Ben = $23.33

Charges for Calvin = $23.33 + 20 = $43.33

Find the common ratio for the geometric sequence for which [tex]a_1[/tex]=3 and [tex]a_5[/tex]=48. A. -3 B. -2 C. 3 D. 2

Answers

Answer:

An= A1 * r^n-1

A5= 3 * r^5-1

48= 3*r^4

48÷3=r^4

16=r^4

r=

[tex] \sqrt[4]{16} [/tex]

r=2

The answer is D. 2

Espero que te sirva

hsじぇいrんふぉそ具jんじょおlっっっkjか、

What are the solutions to the equation (2x – 5)(3x – 1) = 0? x = or x = 3 x = x = 5 or x = 1

Answers

Answer:

x = 5/2          x=1/3

Step-by-step explanation:

(2x – 5)(3x – 1) = 0

Using the zero product property

2x-5 =0    3x-1 =0

2x=5         3x =1

x = 5/2          x=1/3

Answer:

C on edg 2021

Step-by-step explanation:

another question what's the formula for an open end of a cylinder??​

Answers

Answer:

Formula for an opened end of a cylinder =

[tex]\pi r^2 +2\pi rh\\[/tex]

Closed at both end =

[tex]2\pi r^2 +2\pi r h[/tex]

Opened at both end =

[tex]2\pi rh[/tex]

Step-by-step explanation:

A gallon of paint covers 400 square feet. How many square feet will 2 3/8 gallons of paint cover. How do you solve this problem.
Answers
(A) 950 sq ft
(B) 986 sq ft
(C) 1,040 sq ft
(D) 1,068 sq ft

Answers

Answer:

Hey there!

1 gallon=400 square feet

2 3/8 gallon= 400 (2 3/8) square feet

2 3/8 gallon= 950 square feet.

Let me know if this helps :)

Which of the following shows the correct solution steps and solution to 7x-4= -18?

Answers

7x - 4 = -18
7x = -14
x = -2

Answer:

x = -2

Step-by-step explanation:

To solve for x always get x on one side

First add 4 on each side, 4 + 7x - 4 = -18 + 4

Next subtract 18 from 4, making it -14    7x = -14

Now divide 7 on each side, x = -2

A baker sold apples pies for $10 and blueberry pies for$14. One Saturday they sold a total of 39 pies and collected a total of$458. How many apples pies did they sell and how many blueberry pies did they sell

Answers

The total number of apple pies is 22 and the total number of blueberry pies is 17.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that baker sold apples pies for $10 and blueberry pies for$14. One Saturday they sold a total of 39 pies and collected a total of $458.

Asumme the total number of apple pies be 'x' and the total number of blueberry pies be 'y'.

The linear equation that represents the total number of pies is:

x + y = 39

x = 39- y   --- (1)

The linear equation that represents the total amount collected is:

10x + 14y = 458--- (2)

Substitute the value of 'x' in equation (2).

10(39- y) + 14y = 458

y = 17

Then Substitute the value of 'y' in the equation (1).

x = 39 - 17

x = 22

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In 5 hours a small plane can travel downwind for 4000 kilometers
or upward 3000 kilometers. Find the speed of this plane with no wind and the speed of the wind current.

write as an equation​

Answers

Answer:

the speed of the plane with no wind is 700 km/h and the speed of the wind is 100 km/h

Step-by-step explanation:

Let V be the speed of the plane and v the speed of the wind. Down current, they are in opposite directions, and the plane travels a a distance of 4000 km in 5 hours,so

5(V - v) = 4000

V - v = 800    (1)

For upwind movement, since the plane travels 3000 km in 5 hours, so

5(V + v) = 3000

V + v = 600 (2)

adding equations (1) and (2), we have

V - v = 800

+

V + v = 600

2V = 1400

V = 1400/2 = 700 km/h

subtracting equations (2) from (1), we have

V - v = 800

-

V + v = 600

-2v = 200

v = -200/2 = -100 km/h

So, the speed of the plane with no wind is 700 km/h and the speed of the wind is 100 km/h

A parabola has an x-intercept of -1, a y-Intercept of -3, and a minimum of -4 at x = 1.
Which graph matches this description?

Answers

Answer:

A

Step-by-step explanation:

Looking for the graph which

crosses the x- axis at x = - 1 ( x- intercept )

crosses the y- axis at y = - 3 ( y- intercept )

has a minimum value of - 4 at x = 1, that is vertex = (1, - 4) and minimum U

The required graph is A

The graph A should match the description.

Graph:Here we look the graph which crosses the x- axis at x = - 1 ( x- intercept )And, crosses the y- axis at y = - 3 ( y- intercept )Now we considered those that contain a minimum value of - 4 at x = 1, that is vertex = (1, - 4) and minimum U

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Look at the figure below: Triangles ABC and BDC have a common base BC. E is the point of intersection of BD and AC. AE = EC and ED = BE Based on the figure, which pair of triangles is congruent by the Side Angle Side Postulate? HELPPPPP MEEEEEE WILL GIVE BRAIN POINTS

Answers

Answer:

AEB and  CED

Step-by-step explanation:

Given the two pairs of congruent sides, you now use the vertical angles as the pair of congruent included angles, <AEB and <DEC.

The congruent triangles are:

AEB and  CED

Answer:

B-   Triangle AEB and triangle CED

Step-by-step explanation:

I took the test and it was correct

3 people can fix a road in 5 hours how long would it take 4 people give your answer in minutes

Answers

Answer:

Hey there!

1 person can fix 1/3 of the road in 5 hours.

1 person can fix 1/15 of the road in 1 hour.

4 people can fix the road in 15/4, or 3.75 hours.

This is equal to 225 minutes.

Let me know if this helps :)

3 people - 5 h

4 people - x h

[tex]4\cdot x=3\cdot 5\\4x=15\\\\x=\dfrac{15}{4}=3,75[/tex]

3.75 h

Two stores sell the same computer for the same original price. Store A advertises that the computer is on sale for 25% off the original price. Store B advertises that it is reducing the computer’s price by $180. When Brittany compares the sale prices of the computer in both stores, she concludes that the sale prices are equal. Let p represent the computer’s original price. Which equation models this situation?

Answers

Answer:

p= 25/100 = 180/x

Step-by-step explanation:

In order to find the computer's original price, you must use the equation p= 25/100 = 180/x and solve for x.

Answer:

0.75p=p-180

Step-by-step explanation:

0.75p=p-180 is your answer


Solve the equation. Do not put "x = "in your answer, just type the number.
Ex: -8 3x - 5 = 13*

Answers

Answer:

6

Step-by-step explanation:

3x - 5 = 13

3x = 18 (Add 5 to both sides; 13 + 5 = 18)

x = 6 (Divide both sides by 3; 18 / 3 = 6)

Which of the following expressions demonstrates the distributive property?
3 + 4 + 5 = 4 + 3 + 5
-2(5 + 7) = -2(7 + 5)
O 3(-8 + 1) = 3(-8) + 3(1)
6[(7)(-2)] = [(6)(7)](-2)

Answers

Answer:

3(-8 + 1) = 3(-8) + 3(1)

Step-by-step explanation:

The distributive property is quite literally when you distribute numbers. This is the only instance of that happening here

The first two are the communitive property of addition, and the last one is the communitive property of multiplication.

Cheers.

Answer:

c

Step-by-step explanation:

The graph represents revenue in dollars as a function of greeting cards sold. A coordinate plane showing Greeting Card Revenue, Number of Cards Sold on the x-axis and Revenue in dollars on the y-axis. A line starts at (0. 0) and passes through (2, 8), (4, 16), and ends at (5, 20). Which equation represents the function shown on the graph? y = x y = x y = 2x y = 4x

Answers

Answer:

D

Step-by-step explanation:

Just did it

A function assigns the values. The equation that represents the function shown on the graph is y=4x.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Given that the graph represents revenue in dollars as a function of greeting cards sold. Therefore, we can write the function as,

Revenue ∝ Number of cards sold

Since the Number of Cards Sold on the x-axis and Revenue in dollars on the y-axis. Therefore, we can write,

y ∝ x

Removing the proportionality, we will get,

y = k x

Now, substitute any point through which the graph of the function passes to get the value of k,

20 = k × 5

20/5 = k

k = 4

Thus, the function can be represented as,

y = kx

y = 4x

Hence, the equation that represents the function shown on the graph is y=4x.

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Isabelle bought some stationery. 1/3 of them were pencils. 5/8 of the remainder were erasers and the rest were ruler.The cost of the stationery is ,Pencil: $1.20 ,Eraser :$1 ,Ruler: $0.50 She spent a total of $169.50 on all the stationery. How much more did she spend on erasers than rulers.

Answers

Answer:

She spend[tex]\frac{7}{24}[/tex] more on erasers than rulers.

Step-by-step explanation:

We are given that Isabelle bought some stationery.

Fraction of pencil = [tex]\frac{1}{3}[/tex]

Remaining stationary =[tex]1-\frac{1}{3}=\frac{2}{3}[/tex]

5/8 of the remainder were erasers

So, part of eraser in stationary=[tex]\frac{5}{8} \times \frac{2}{3}=\frac{5}{12}[/tex]

Remaining stationary(rulers)=[tex]\frac{2}{3}-\frac{5}{12}=\frac{1}{4}[/tex]

Cost of ruler = $0.50

Cost of [tex]\frac{1}{4}[/tex]rulers =[tex]0.50 \times \frac{1}{4}=\frac{1}{8}[/tex]

Cost of eraser=$1

Cost of [tex]\frac{5}{12}[/tex] eraser=[tex]\frac{5}{12}[/tex]

Difference in cost of eraser and rulers =[tex]\frac{5}{12}-\frac{1}{8}=\frac{7}{24}[/tex]

Hence She spend[tex]\frac{7}{24}[/tex] more on erasers than rulers.

what is the image (-9,-2) after a reflection over the x-axis ?​

Answers

Answer:

(-9,2)

Step-by-step explanation:

The rule for reflecting over the x axis is

(x,y)→(x,−y)

(-9, -2) becomes ( -9, - -2) = (-9,2)

Answer:

(-9,2)

Step-by-step explanation:

It will be -9,2 because when you reflect across x axis you change the y axis not the x axis because if you imagine it it works like that

What is the square root of 48? what is the square root of 1/49 ? what is the square root of 4/100 ?

Answers

Answer:

Step-by-step explanation:

√48 = √(3*16) = 4√3

                   

                  √1                                      

√(1/49) = ------- = 1/7

                √49

                       √4

√(4/100) = --------------- = ±2/10 =                                                                                                                                                                                                                                                                                                                                                                              

                     √100

Estimate. Then determine the area. Please please please, need help!

Answers

Estimate:

2.3 rounds down to 2

So after multiplying by 2, the area is estimated to be 4 cm squared.

Actual Area:

2.3 x 2 = 4.6

The actual area of the shape is 4.6 cm squared.

Hope this helped!

Answer:

4.6

Step-by-step explanation:

Solve: 5x2 + 25x = 0

Answers

Answer:

x = -0.4

x = -(2/5)

Answer:

x = ± √5

Step-by-step explanation:

Please indicate exponentiation by using the symbol " ^ ":

5x^2 + 25x = 0

Divide all three terms by 5.  We get:

x^2 + 5 = 0, or x^2 = -5

Then x = ± √5

Jak policzyc: [tex](2x^2)^2[/tex] ?

Answers

2^2 • x^ (2•2)
Answer is :
4x^4

If you're good at exact values of trig ratios pea shell me with 13a

Answers

It is an equilateral triangle so its angles are equal 60°. From the definition, we know that:

[tex]\sin60^\circ=\dfrac{h}{4}[/tex]

and

[tex]\sin60^\circ=\dfrac{\sqrt{3}}{2}[/tex]

so

[tex]\dfrac{\sqrt{3}}{2}=\dfrac{h}{4}\quad \Big|\cdot4\\\\\\h=\dfrac{4\cdot\sqrt{3}}{2}\\\\\boxed{h=2\sqrt{3}}\\[/tex]

Answer:

h = √12

Step-by-step explanation:

use the Pythagorean

h² = 4² - 2²

h² = 16 - 4

h = √12

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Given a program with a dynamic instruction count of 1,000,000 instructions divided into classes as follows: 10% class A, 20% class B, 50% class C, and 20% class D.which implementation is faster? a. What is the global CPI for each implementation? b. Find the clock cycles required in both cases. In Littletown, the probability that a baseball team goes to the city playoffs is 0.30. the probability that the team goes to the state playoffs given that the team goes to the city playoffs is 0.20. Two numbers are in ratio 3 by 2 and their difference is 5 find numbers Sharvay spends $15 to buy 17 pieces of candy. M&Ms cost $0.75 and candy bars cost $1. How many M&Ms and candy bars did Sharvay buy? As an initial transaction in a new margin account, a customer sells short 100 shares of ABC at $20 per share. 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