A ladder 5 m long, leaning against a vertical wall makes
an angle of 65° with the ground. How far up the wall is
the top of the ladder?

Answers

Answer 1
The height of the top of the ladder from the ground is 4.53 m

Step-by-step explanation:

Given:

length of ladder =5 m

Angle formed = 65°

Let h be the Height of the top of the ladder from the ground

Required:

Height of the top of the ladder from the ground

Equation:

SOH-CAH-TOA

Since the hypotenuse side is given and what we are to solve is the opposite side, use SOH

[tex]sinθ\:=\: \frac{opposite}{hypotenuse}[/tex]

[tex]sin(65°)\:=\: \frac{opposite}{5\: m}[/tex]

[tex]opposite\:=\:(5 \:m )\:sin(65°)[/tex]

[tex]opposite\:=\:4.53 \:m[/tex]

Final Answer:The height of the top of the ladder from the ground is 4.53 m

Please refer to the photo for the illustration

A Ladder 5 M Long, Leaning Against A Vertical Wall Makesan Angle Of 65 With The Ground. How Far Up The

Related Questions

One step equation

-104=8x​

Answers

x=-13 hopefully this helps

Answer:

The answer you gave can only be solved if you know what the Variable is.

Step-by-step explanation:

A one-step equation is an algebraic equation you can solve in only one step. Once you've solved it, you've found the value of the variable that makes the equation true. To solve one-step equations, we do the inverse (opposite) of whatever operation is being performed on the variable, so we get the variable by itself.

What is the answer to the following question:
5(4-2) + 1=

Answers

Step-by-step explanation:

5(4 - 2) + 1

= 5 * 2 + 1

= 10 + 1

= 11

Hope it will help you :)♡

Remember “Pemdas” so 4-2 first= 2. Then do 5x2 because multiplication is next which is 10 then do 10+1=11 because addition is the last step.

Need help will give 15 points!!

Answers

Answer:cool

Step-by-step explanation:

Jackson has twice as many cards as his friends Alex and Chase combined. Alex has 55 Cards in his collection. Jackson Has 200 cards in his collection. How many cards does Chase have in his collection?

Answers

Answer:

45

Step-by-step explanation:

200 divided by 2 = 100-55=45

Answer:

45

Step-by-step explanation:

200-55=145

Since Jackson has twice as many as them combined, he would have 45.

What is the common ratio of the sequence?
-2, 6, -18, 54....
-3
-2
3
8

Answers

Answer:

-6/-2=-18/-6=54/-18

=3

Answer: A. -3

Step-by-step explanation: -3 is the correct answer. -2x-3=6, 6x-3=-18,

-18x-3=54

Name the factors in each of the following problems

Answers

Ok sure, lol.
Can’t see anything

Hello! :)
Please help me solve this + explain your answer :)

I will indeed give you Brainlst <3

Answers

Answer: the triangles are congruent

Step-by-step explanation: if u add up all the angles u get 180 so all angles are congruent

Movie tickets cost $6 for adults and $2 for children under the age of 12. If 175 movie tickets were sold with cash receipts of $750, how many children’s tickets were sold?

Answers

Answer:

75 child tickets and 100 adult tickets were sold.

Step-by-step explanation:

Given that adult tickets cost $ 6 and children's tickets cost $ 2, knowing that 175 tickets were sold for $ 750, to determine how many child tickets were sold the following calculation must be performed:

2 x 175 = 350

750 - 350 = 400

6 - 2 = 4

400/4 = 100

175 - 100 = 75

100 x 6 = 600

75 x 2 = 150

Therefore, 75 child tickets and 100 adult tickets were sold.

please anwser this for me!!

Answers

Answer:

No

Step-by-step explanation:

The relation given as represented by the table of values is definitely not a function. This is because, 1 domain value (x-value), is having two range values (y-values), 2 and 5, that are assigned to it.

A function cannot have two y-values assigned to one x-values.

The 12 students in the Environmental Club represent 20% of the students in the seventh grade. How many students are in the seventh grade?

Answers

The students that are in the seventh grade is 60.

How to calculate the number of students?

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.

Let the students that are in the seventh grade be x.

Since 12 students in the Environmental Club represent 20% of the students in the seventh grade. This will be:

20% × x = 12

0.2x = 12

Divide

x = 12 / 0.2

x = 60

Therefore, there are 60 students.

Learn more about percentages on

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In the 2006 season, Tom Brady threw for 3,529
yards. In the 2007 season, he threw for 2,806
yards. What is the percentage decrease

Answers

20.4873901955% decrease
3529-2806=723
(723/35290)x100= 20.4873901955

First, work out the difference (decrease) between the two numbers you are comparing. Next, divide the decrease by the original number and multiply the answer by 100. If the answer is a negative number, this is a percentage increase.

Answer:

59.02%

Step-by-step explanation:

SO SORRY THAT THIS IS LATE anyway what you is minus the biggest number by the smallest number which would be 3,529 - 2,806 = 723

BECAUSE 3,529 is the original number you would do 723 / 3,529 = 0.5902521

then you would times that number by 100

0.5902521 x 100 = 59.02%

hope this helps

If you are good at math please dm me on ig 14lies, or twitt binderelluh1

Answers

Answer:

Okay

Step-by-step explanation:

What is 5-2(4a+1)+3a=13

Answers

Step-by-step explanation:

5-2(4a+1)+3a=13

5(4a+1)-2(4a+1)+3a=13

20a+5-8a-2+3a=13

20a-8a+3a+5-2=13

15a-3=13

15a=13+3

a=16

15

hope it helps.

What is the slope of the line whose equation is y=3/5x-4

Answers

Slope-intercept form:

y = mx + b

Your equation in slope-intercept form (which you already have :)):

y = 3/5x - 4

So your slope is m = 3/5

Do you need help finding the y-intercept or x-intercept? I hope this helps and answers your question! Have a lovely day!

What is the measure of angle L?

What is the length of JL?

What is the length of KL?
Please help

Answers

Answer:

53

Step-by-step explanation:

[tex]K+J+L = 180\\90 + 37 + L = 180\\L = 53[/tex]

18. Jeff traveled at an average speed of 65 miles per hour for 2.5 hours and then traveled at an average speed of 70 miles per hour for 1.5 hours. What was the total distance in miles that Jeff traveled during this time?

A 272.5
B 267.5
C 270
D 337

Answers

Answer:

B) 267.5

Step-by-step explanation:

162.5+105=267.5

A quadratic function models the graph of a parabola. The quadratic functions, y = x2 and y = x2 + 3, are modeled in the graphs of the parabolas shown below. Determine which situations best represent the scenario shown in the graph of the quadratic functions, y = x2 and y = x2 + 3. Select all that apply. From x = -2 to x = 0, the average rate of change for both functions is negative For the quadratic function, y = x2, the coordinate (2, 3) is a solution to the equation of the function. The quadratic function, y = x2 + 3, has an x-intercept at the origin The quadratic function, y = x2, has an x-intercept at the origin From x = -2 to x = 0, the average rate of change for both functions is positive For the quadratic function, y = x2 + 3, the coordinate (2, 7) is a solution to the equation of the function.

Answers

Answer:

Step-by-step explanation:

From x = -2 to x = 0, the average rate of change for both functions is negative

The quadratic function, y = x2, has an x-intercept at the origin

For the quadratic function, y = x2 + 3, the coordinate (2, 7) is a solution to the equation of the function.

those 3 are good

The quadratic function, y = x², has an x-intercept at the origin is, TRUE

And, The quadratic function, y = x² + 3, has an x-intercept at the origin is, FALSE

From x = -2 to x = 0, the average rate of change for both functions is positive is, FALSE

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Now, We have;

When viewing a graph, you start from the left and go to right and from left to right from -2 to 0 the graph is declining.

Hence, From x = -2 to x = 0, the average rate of change for both functions is negative is true.

And, Both are declining if you read the graph from left to right.

For the quadratic function, y = x², the coordinate (2, 3) is a solution to the equation of the function is false.

y = x²

If we insert 2 into y = x² we get y = 4 but our point (2, 3) has y = 3

For the quadratic function, y = x² + 3, the coordinate (2, 7) is a solution to the equation of the function is true.

If we insert 2 for x, we see that;

⇒  y = x² + 3

⇒  y = 2² + 3

⇒  y = 7

And, our y value in the point (2, 7) is 7.

Learn more about the function visit:

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A bag contains 4 white tiles and 8 black tiles. You select one tile at random from the bag. What is the probability that you select a black tile?

Answers

Answer:

p( black) = 2/3

Step-by-step explanation:

4 white + 8 black = 12 tiles

P ( black) = number of black / total

                = 8 /12

                 = 2/3

3(2(8-2x4)+25divided by 5 )-(2(8 divided by 4x2)-7(7-2x3)

Answers

Answer: 3(2(8-2x4)+25divided by 5 )-(2(8 divided by 4x2)-7(7-2x3

The answer is 14

Write the equation of the line that passes through the point 2,-1 and has a slope of -3

Answers

Answer:

-3

Step-by-step explanation:

-3 is your answer

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=-16x^2+116x+75

Answers

Answer:

7.85

Step-by-step explanation:

the other guy is incorrect,

2x + 3y = 2
y = {x+3

Answers

The solution of the system is (-2,2)

Step-by-step explanation:

a solution is a system of equations intersecting.

on the graph you can see that the lines intersect at (-2,2)

You paint four walls. Each wall is a rectangle with a length of 18 feet and a height of 12 feet. One gallon of paint covers about 320 square feet. How many gallons of paint do you need in order to cover the walls?

Answers

Answer:

you will need exactly 2.7 gallons of paint but if rounded you'll need 3 gallons

Step-by-step explanation:

What is n2+5 If n=5?

Answers

Is that cube or n just multiply to 2?

Answer:

15

Step-by-step explanation:

n is 5 so 5 times 2 equals 10 and plus 5 it equal 15

1/2 + 2/3 divided by 1/6 =

Answers

Answer:

4 3/6 or simplified 4 1/2

Step-by-step explanation:

Answer:

The answer is 4.5

Step-by-step explanation: Trust me thats the answer :)

The pizza shop down the street offers a special of a large pizza with 3 toppings. The choices of toppings

are pepperoni, sausage, ham, pineapple, cheese, onions, green peppers, hot peppers, mushrooms, and

anchovies.

How many ways can you arrange 3 toppings out of 10 toppings on a pizza?

Answers

Answer:

120 ways

Step-by-step explanation:

To solve this question, we would be using the law of combination.

In combination, we say that

nCr = n! / (n - r)! r!, where both r and n are integers.

Now, referring to question, we are asked how many ways we can arrange 3 toppings out of 10. This means we're looking for 10C3. Applying the earlier laid out formula, we have

10C3 = 10! / (10 - 3)! 3!

10C3 = 10! / 7! 3!

10C3 = 3628800 / 5040 * 6

10C3 = 3628800 / 30240

10C3 = 120

Therefore, the toppings can be arranged in 120 ways.

Leave a like if it helped you, please

9x + 4

8x - 4

4x + 17

If the perimeter is 374 units, find the value of x and the area of the triangle.

The value of x is

The area is

square units.

Answers

Answer:

x = 17

Area = 10,362units²

Step-by-step explanation

Given the sides of the triangle

S1 = 9x+4

s2 = 8x-4

S3 = 4x+17

Perimeter of the triangle is the sum of all the sides

P = S1+S2+S3

374 = 9x+4+8x-4+4x+17

374 = 21x+17

21x = 374-17

21x = 357

x = 357/21

x = 17

Hence the value of x is 17

Area of the triangle is 1/2bh

A = 1/2bh

b is the base

h is the height

Let the base be 9x + 4 and height be 8x-4

b = 9x+4

b = 9(17)+4

b = 153+4

b = 157units

h = 8x-4

h =8(17)-4

h = 136-4

h = 132

Area = 1/2 * 157 * 132

Area = 157*66

Area = 10,362units²

what is the distance, in units, between the y-intercept of f(x) = x^2 +7x - 18 and the y-intercept of the linear function that passes through the points shown on the table below
x g(x)
-5 2
10 11
25 20
60 41

Answers

Answer:

13

Step-by-step explanation:

f(x) = x² +7x - 18

y interception: x=0  y = -18    (0 , -18)

line g(x):  --- the data of (60,47) to make a linear function

y = mx + b

m = (11-2) / (10 - -5) = 9/15 = 0.6

b = mx - y = 0.6 * (-5) - 2 = - 5  ... y intercept: (0 , -5)

distance between 2 y intercept: 18-5 = 13

y = 0.6x - 5

Answer:

23

Step-by-step explanation:

f(x) (y intercept ) = -18

g(x) (y intercept) = 5

difference so f(x)-g(x)

-18-5 = -23

the answer cannot be negative

1. A 15-pound bag of sugar is being split into containers that hold of a pound. How many
containers of sugar will the 15-pound bag create?
The answer is: 17 1/7 containers. The work is on the photo

Answers

Answer:

yes

Step-by-step explanation:

yes

There once was a ship that put to sea
The name of the ship was the Billy of Tea
The winds blew up, her bow dipped down
O blow, my bully boys, blow

Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go

She had not been two weeks from shore
When down on her a right whale bore
The captain called all hands and swore
He'd take that whale in tow

Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go

Before the boat had hit the water
The whale's tail came up and caught her
All hands to the side, harpooned and fought her
When she dived down low

Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go

No line was cut, no whale was freed
The Captain's mind was not of greed
And he belonged to the whaleman's creed
She took that ship in tow

Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go

For forty days, or even more
The line went slack, then tight once more
All boats were lost, there were only four
But still that whale did go

Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go

As far as I've heard, the fight's still on
The line's not cut and the whale's not gone
The Wellerman makes his regular call
To encourage the Captain, crew, and all

Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go

Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go

Answers

There once was a ship that put to sea
The name of the ship was the Billy of Tea
The winds blew up, her bow dipped down
O blow, my bully boys, blow

Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go

She had not been two weeks from shore
When down on her a right whale bore
The captain called all hands and swore
He'd take that whale in tow

Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go

Before the boat had hit the water
The whale's tail came up and caught her
All hands to the side, harpooned and fought her
When she dived down low

Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go

No line was cut, no whale was freed
The Captain's mind was not of greed
And he belonged to the whaleman's creed
She took that ship in tow

Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go

For forty days, or even more
The line went slack, then tight once more
All boats were lost, there were only four
But still that whale did go

Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go

As far as I've heard, the fight's still on
The line's not cut and the whale's not gone
The Wellerman makes his regular call
To encourage the Captain, crew, and all

Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go

Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go
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