While shopping at his local home improvement store, Chen noticed that the directions for an extension ladder state, “This ladder is most stable when used at a 60° angle with the ground.” He wants to buy a ladder to paint a two-story house. How long does his ladder need to be in order to reach the top of the house if the house is 27 feet tall?

Answers

Answer 1

The length of the ladder needed to reach the top of the house is 31.2 feet.

Trigonometric ratio is used to show the relationship between the sides and the angles of a right angled triangle.

Let d represent the length of the ladder. Using trigonometric ratio:

[tex]sin(60)=\frac{27}{d} \\\\d=\frac{27}{sin(60)} =31.2\ feet[/tex]

The length of the ladder needed to reach the top of the house is 31.2 feet.

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Related Questions

suppose y varies directly as x. suppose also that y=34 when x=17. find y when x=56.

Answers

Answer:

  112

Step-by-step explanation:

We can write the equation for the direct variation:

  y = kx

  34 = k(17)

  34/17 = k = 2

Then for the new x-value:

  y = 2(56) = 112

The value of y is 112 when x = 56.

__

Or, we can write the relation as a proportion:

  y/56 = 34/17

  y = 56(34/17) = 112

Which graph shows a system of equations with no solutions?

Answers

Answer: We need to see the options

Step-by-step explanation: We need to see the options

x^2=x+2
Please solve by factoring
But I’ll take anything honestly

Answers

Answer:

Step-by-step explanation:

[tex]\sf x^2=x+2[/tex]

Subtract x+2 from both sides of the equation:

[tex]\sf x^2-(x+2)=x+2-(x+2)[/tex]

[tex]\sf x2-x-2=0[/tex]

Now, factor left side of equation:

[tex]\sf (x+1)(x-2)=0[/tex]

Set the factors equal to zero:

[tex]\sf x+1=0[/tex]            [tex]\sf x-2=0[/tex]

[tex]\boxed{\sf x=-1}[/tex]            [tex]\boxed{\sf x=2}[/tex]

_____________________________________

Chanel says the sequence of transformations that maps trapezoid PQRS onto trapezoid KLMN is: rotate it 90 degrees counterclockwise, and then dilate it by a scale factor of .

Preston says the sequence of transformations that maps trapezoid PQRS onto trapezoid KLMN is: reflect it across the x-axis, and then dilate it by a scale factor of .

Answers

Answer:

it changes it by putting it into quadrant 2.

Step-by-step explanation:

(x,y) → (x,-y)

KLMN is an upside down image of PQRS So it was reflected across the x axis and then scaled by 1/2

Preston is correct

Help me with x and z

Answers

Answer:

x = 14

z = 70

Step-by-step explanation:

(10x - 30) + (11x - 84) = 180

x = 14

(10(14) - 30) + z = 180

z = 70

A movie theater sold a total of 50 tickets. 23 of the tickets were child tickets, and the rest were adult tickets. What is the ratio of the number of adult tickets to the total number of tickets?

Write your answer as a fraction. Use a slash ( / ) to separate the numerator and denominator.

Answers

27/50

Step-by-step explanation:

You would have to subtract 50 and 23 to find out how many adult tickets there was

Good morning fellow Brainaics.

Please help me with this question.

Answers

Answer:

Veganism :)

Step-by-step explanation:

Step-by-step explanation:

B: Veganism.

but ... how is that mathematics ?

WILL GIVE BRAINLIEST
HELP ASAP!! WILL ADD 5 STAR RATING !!!

ANY AND ALL LINKS OR WRONG ANSWERS WILL BE REPORTED !!!!

Answers

ANSWER IS Z
........

f(x) is graphed below. If g(x)=f(x+2)-4, what are the roots of g(x)?

Answers

Answer:

fortnit 90s

Step-by-step explanation:

crank and c until u get too 90 height

Simplify the expression: 4 + 5(2x - 3) - 6x *

16x + 19
-16x -11
4x -9
4x + 9

Answers

Step-by-step explanation:

4+5 (2x-3)-6x

9 (2x-3)-6x

18x-27-6x

12x-27

Answer:

[tex] \sf \: 4x - 11 [/tex]

Step-by-step explanation:

Given expression,

→ 4 + 5(2x - 3) - 6x

Let's simplify the expression,

→ 4 + 5(2x - 3) - 6x

→ 4 + 10x - 15 - 6x

→ (10x - 6x) + (4 - 15)

→ (4x) + (-11)

→ 4x - 11

Hence, the answer is 4x - 11.

Resultado de la operación -2-(5-3)+4

Answers

Answer:

0

Step-by-step explanation:

-2-(5-3)+4

-2-2+4

-4+4

0

Please help me its due tommorow

Answers

Answer:

read below for answers

Step-by-step explanation:

7. 4d + 6 =42

d = 9

8. -3y + 12 = -48

y = 20

9. k/2 + 9 = 30

k = 42

10. g/3 - 7 = 15

g = 66

11. z/5 + 3 = -35

z = -190

12. -9h - 15 = 93

h = -12

13. -3(n + 5) = 12

n = -9

14. -17 + b/8 = 13

b = -32

15. 7( c- 12 ) = -21

c = 9

16. -3 + p/7 = -5

p = -14

17. 46 = -6t - 8

t = -9

What is the equation for the line described in #9And #10?

Answers

Answer: it is definitely c. y=3x+2

Step-by-step explanation: solve the first equation and then plug in

hunter has a jar of 368 nickels and dimes. the total value of coins is $28.40. which system of equations below would be the best to use to find the number of nickels and dimes hunter has?

Answers

Answer:

We can't see your answer choices, but it would be n + d = 368 and .05n + .10d = 28.40

Step-by-step explanation:

n+d=368 and 0.05n+0.1d=$28.40 is the system of equations below would be the best to use to find the number of nickels and dimes hunter has

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that hunter has a jar of 368 nickels and dimes.

The total value of coins is $28.40.

We need to find the system of equations below would be the best to use to find the number of nickels and dimes hunter has

The total quantity of nickels and dimes is 328

n+d=368

The value of nickel is 0.05 dollars

The value of dime is 0.10 dollars

0.05n+0.1d=$28.40

Hence, n+d=368 and 0.05n+0.1d=$28.40 is the system of equations below would be the best to use to find the number of nickels and dimes hunter has

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ5

plss help me with this:(((​

Answers

7 is the slope :) -2 would be the y-intercept

Answer:

11) 7 ( Answer A)

12) (-2) ( Answer D)

Step-by-step explanation:

You can use y = m x + c to answer these questions.

In the equation y = m x + c,

m = slope

c = y - intercept

According to the question,

they have given the equation,

y = 7 x - 2

So, you can replace it with y = m x + c like this.

y = 7 x - 2

    ↑       ↑

    m      c

There fore,

slope = 7

y - intercept = ( - 2)

And now let's write the answers for the question.

11) 7 ( Answer A)

12) (-2) ( Answer D)

Hope this helps you :-)

The m1 is twice m3. The m2 is 20 more than the m3 find m4. See picture for full problem. Please and thank you!

Answers

Answer:

Step-by-step explanation:

Please help! What does the clock, rope, and shoe equal?

Answers

Answer:

shoe = 5, clock = 3, rope = 13

Step-by-step explanation:

hope this helped :) i just used guess and check knowing that the shoe is clock+2 hahah

-7ab + 6b - 3ab - 4b - 3ab

Answers

the answer is -13ab+2b! hopefully this is right, sorry if it’s not

HELP ME PLEASE, I need help and don’t understand at all !

Answers

okkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk

Determine the equation of the line.

Answers

Answer:

Y = 5x - 10

Step-by-step:

Leave a brainliest if this helped!

A rare diamond, valued at $3,750, is gaining value at a rate of 4% each year. The value of a diamond, v, can be found using the equation v=p(1+r)t where p is the original value of the diamond, r is the rate, and t is the number of years the diamond gains value.

How much will the diamond be worth in 6 years?


$4,743.75


$4,744.95


$4,762.50


$4,875.00

Answers

Answer: $4,744.95

Step-by-step explanation:

v=3,750(1+4%) 6th power

Could someone answers these! I Really NEED HELP

Answers

Answer:

(3x + 5) (x - 3)

Step-by-step explanation:

This is the quadratic expression

what is 1+1 equal to? PLZ explain in 5 sentences.

Answers

Answer:

2

Step-by-step explanation:

1+1 is equal to two. Imagine two objects, a green ball and a red ball. These one and one objects. Now you would want to but it inside a bag when you put it in the bag, someone asks you how many balls are inside the bag. Now count how many balls is in the bag which is 2.

Hope this helps!

Solve the system of equations shown below algebraically.
x+y=1
x^2+y^2=61​

Answers

Answer: xy1 = (6,-5) and xy2 = (-5,6), pls give brainliest if this solution helped you

Step-by-step explanation:

the gym teacher has 13 playground balls for the 4 fourth grade classroom
to share. how many balls will each classroom get

Answers

Answer:

3-4

because 12 ÷4 is 3 but there is 13 so you add 1 ball so in each there is

4 3 3 3

I NEED ANSWER ASAP PLEASE I NEED ANSWER NOW ITS DUE IN 20 MINS

Answers

First : parallel lines

A store manager predicts that 100 hats will be sold if each hat costs $12. The manager predicts that 4 less hats will be sond for every $1 increase in price. For what prices can the manager predict that 60 hats will be sold?

Answers

Answer:

100-60=40

40/4=10

10*$1=$10

$12+$10=$22

abebe is 12 years old and his sister aster is 2 years old. In how years abebe be exactly twice as old as aster​

Answers

Answer:

8 years

Step-by-step explanation:

Currently

Abebe → 12 years old

Aster → 2 years

With every passing year, each of them will be 1 year older hence the difference between their ages will remain constant.

Difference in ages

= 12 -2

= 10

Let the age of Aster be x years old when Abebe is twice her age.

Abebe → 2x years old

Aster → x years old

Difference in age

= 2x -x

= x

x= 10

Aster is 10 years old when Abebe is twice her age.

Number of years passed

= 10 -2

= 8

Thus, Abebe will be twice as old as her sister in 8 years.

What is 4/6 divided by 3/12 what is the quotient

Answers

Answer: 8/3, 2 2/3

Step-by-step explanation:

reciprocal of 3/12 is 12/3

soooooo

4/6 x 12/3

which is 48/18

u can divide that by 6

which is 8/3

or 2 2/3

Jayden had $43 in his bank account. He wanted to buy a game at GameStop. The game cost $15. He made the purchase.
a) Write an expression to show his purchase activity.

b) How much did he have, after the purchase of the game?

Answers

Answer:

a) 43 - 15

b) 28

43 represents the money he has the game costs $15, subtract 15 from 43 and get $28. After the purchase he now has $28
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