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

Geometry question plz help

Answers

Answer:

I think A

Step-by-step explanation:

Which point is coplanar with C, F, and G in the diagram below?

1. H
2.E
3.B
4.D

Answers

Step-by-step explanation:

The only face of the cube that has all the points C, F and G is the face CFGD on the right facing outwards.

Hence point D must be coplanar as it is on the same face.

Point D  is coplanar with C, F, and G in the diagram of rectangular prism option (4) D is correct.

What is a rectangular prism?

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape. It is also called a cuboid.

It is given that:

The rectangular prism is given in the picture.

The rectangular prism is a three-dimensional figure.

As we know, geometry can be defined as the branch of mathematics that is concerned with the size, shape, and orientation of two-dimensional figures.

The cuboid can be defined as a six-faced shape, a type of hexahedron in geometry. It is a three-dimensional shape.

Thus, point D  is coplanar with C, F, and G in the diagram of rectangular prism option (4) D is correct.

Learn more about the rectangular prism here:

brainly.com/question/21308574

#SPJ2

Make a 2/3 a fraction with a denominator of 36


Please show work

Answers

Answer:

24/36

Step-by-step explanation:

Do 36 divided by 3 which is 12 then multiply 12 by 2!

I hope this helps and have a great day! :)

Answer:

The correct answer is 24/36

Step-by-step explanation:

24/36 is correct because you divide 36 by the denominator of 3 to equal 12 so then multiply 12 by 2 to equal 24 so the correct answer is 24/36.

HAVE A GOOD DAY!

which function has a y-intercept of 3 ​

Answers

Answer:

2 and 3

1 also has a y-intercept of 3, but it is negative, so I don't know if that one will count

Step-by-step explanation:

Substitute X for 0 and solve from there.

3(0) - 2y = -6

0 - 2y = -6

y = 3

y - 3 = -2(0)

y - 3 = 0

y = 3

If each of the following represents the slope of a line (or line segment), give the slope a line that is perpendicular to it. (a) 4 3 m (b) 3 7 m ( c )4 m (d) 1 3

Answers

Answer:

[tex]m_2 = -\frac{3}{4}[/tex] -- (a)

[tex]m_2 = -\frac{7}{3}[/tex] -- (b)

[tex]m_2 = -\frac{1}{4}[/tex] --- (c)

[tex]m_2 = -3[/tex] -- (d)

Step-by-step explanation:

Given

[tex]a.\ m = \frac{4}{3}[/tex]

[tex]b.\ m = \frac{3}{7}[/tex]

[tex]c.\ m = 4[/tex]

[tex]d.\ m = \frac{1}{3}[/tex]

Required

Determine the slope of a perpendicular line

In geometry, the condition for perpendicularity is:

[tex]m_2 = -\frac{1}{m}[/tex]

This formula will be applied in solving these questions.

[tex]a.\ m = \frac{4}{3}[/tex]

[tex]m_2 = -\frac{1}{m}[/tex]

Substitute 4/3 for m

[tex]m_2 = -\frac{1}{4/3}[/tex]

Express as a proper division

[tex]m_2 = -1/ \frac{4}{3}[/tex]

Convert to *

[tex]m_2 = -1* \frac{3}{4}[/tex]

[tex]m_2 = -\frac{3}{4}[/tex]

[tex]b.\ m = \frac{3}{7}[/tex]

[tex]m_2 = -\frac{1}{m}[/tex]

Substitute 3/7 for m

[tex]m_2 = -\frac{1}{3/7}[/tex]

Express as a proper division

[tex]m_2 = -1/ \frac{3}{7}[/tex]

Convert to *

[tex]m_2 = -1* \frac{7}{3}[/tex]

[tex]m_2 = -\frac{7}{3}[/tex]

[tex]c.\ m = 4[/tex]

[tex]m_2 = -\frac{1}{m}[/tex]

Substitute 4 for m

[tex]m_2 = -\frac{1}{4}[/tex]

[tex]d.\ m = \frac{1}{3}[/tex]

[tex]m_2 = -\frac{1}{m}[/tex]

Substitute 1/3 for m

[tex]m_2 = -\frac{1}{1/3}[/tex]

Express as a proper division

[tex]m_2 = -1/ \frac{1}{3}[/tex]

Convert to *

[tex]m_2 = -1* \frac{3}{1}[/tex]

[tex]m_2 = -\frac{3}{1}[/tex]

[tex]m_2 = -3[/tex]

For a submarine cable, the range of signalling is governed by the function


f(r) = r^2 ln⁡(1/r)

where 0
Find df/dr.

Answers

Answer:

 [tex]\frac{df}{dr} = (-r) + log(\frac{1}{r} )( 2 r)[/tex]

Step-by-step explanation:

Explanation

Given function f(r) = r² log r  ....(i)

Apply derivatives formula

              [tex]\frac{d}{dx} UV = U^{l} V + V^{l} U[/tex]

             [tex]\frac{d}{dx}x^{n} = nx^{n-1}[/tex]

            [tex]\frac{d}{dx}log x = \frac{1}{x}[/tex]

Differentiating equation (i) with respective to 'r' , we get

                [tex]\frac{df}{dr} = r^{2} (\frac{1}{\frac{1}{r} } )\frac{d}{dr} (\frac{1}{r } )+ log(\frac{1}{r} ) 2 r[/tex]

                [tex]\frac{df}{dr} = r^{2} (\frac{1}{\frac{1}{r} } )(\frac{-1}{r^{2} } )+ log(\frac{1}{r} ) 2 r[/tex]

Final answer:-                

               [tex]\frac{df}{dr} = (-r) + log(\frac{1}{r} )( 2 r)[/tex]

STOP RIGHT THERE. Please help me.

Answers

Answer:

the answer is B

Step-by-step explanation:

Well we can get rid of A and D because we're not adding money, we're subtracting (thats what a sale is)

So we're left with B and C.

To find what 17% of 3 is, we multiply 3 x 0.17, which totals to 0.51. It can't be C because you find 51% of 3 which is not what we're looking for, so it is B.

A standard train ticket in a certain city costs $1.50 per ride. People who use the train also have the option of purchasing a frequent rider pass for $17.25 per month. With the pass, a ticket costs only $0.75 per ride. How many train rides a month make the frequent rider pass a better deal than standard train tickets?

Answers

Just off the bat 17$is 12 rides and then 17.25 +0.75 is 18 so 13 rides

x = number of rides per month.

Without the pass, the cost per ride is 2.00 per ride.

With the pass, the cost per ride is 1.25 per ride plus 15.75 per month.

You want to know at what number of rides does the cost per ride using the pass become cheaper than the cost per ride without using the pass.

The formula for total cost is as follows:

without the pass:

C1 = 2*x

with the pass:

C2 = 15.75 + 1.25*x

You want to know when C2 becomes less than C1.

C2 < C1 is the inequality equation you are looking for.

Since C2 = 15.75 + 1.25*x, and C1 = 2*x, this equation becomes:

15.75 + 1.25*x < 2*x

Subtract 1.25*x from both sides of this equation to get:

15.75 < 2*x - 1.25*x which becomes:

15.75 < .75*x

Divide both sides of this equation by .75*x to get:

15.75/.75 < x

Simplify to get:

21 < x

21 < x is the same as x > 21.

Your answer is the C2 becomes cheaper than C1 when x > 21.

If you make x = 21, then:

C1 = 2*21 = 42
C2 = 15.75 + 1.25*21 = 15.75 + 26.25 = 42

They are equal.

If you make x = 22, then:

C1 = 2*22 = 44
C2 = 15.75 + 1.25*22 = 15.75 + 27.5 = 43.25

43.25 is cheaper than 44 so C2 is cheaper than C1, confirming that the equation is good.

2x - 2 = 3x - x - 2 solve for x

Answers

Answer:

i think x=0

Step-by-step explanation:

2x-2=2x-2

2x=2x

x=0

Answer:

NAN

Step-by-step explanation:

x + 2 = 3x - x^2 Simplifying x + 2 = 3x + -1x2 Reorder the terms: 2 + x = 3x + -1x2 Solving 2 + x = 3x + -1x2 Solving for variable 'x'. Combine like terms: x + -3x = -2x 2 + -2x + x2 = 3x + -1x2 + -3x + x2 Reorder the terms: 2 + -2x + x2 = 3x + -3x + -1x2 + x2 Combine like terms: 3x + -3x = 0 2 + -2x + x2 = 0 + -1x2 + x2 2 + -2x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 2 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-2' to each side of the equation. 2 + -2x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + -2x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2x + x2 = 0 + -2 -2x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -2x + x2 = -2 The x term is -2x.  Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -2 + 1 Reorder the terms: 1 + -2x + x2 = -2 + 1 Combine like terms: -2 + 1 = -1 1 + -2x + x2 = -1 Factor a perfect square on the left side: (x + -1)(x + -1) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.

A teacher grades 27 tests in 3 hours Find the constant of variation

Answers

Answer:

9

Step-by-step explanation:

Step one:

given

Let the number of tests graded be g = 27

time taken t = 3 hours

Required

The constant relating the time and the number of tests

Step two:

"The constant of variation is the number that relates two variables that are directly proportional or inversely proportional to one another."

so that the direct variation is

g∝kt

g=t/k

k= g/t

k=27/3

k=9

Answer:

9

Step-by-step explanation:

Since you know that there are 27 tests every three hours then you can divide 27 by 3 to get the constant variation or "test per hour". So then, 27 divided by 3 is 9.

What is the common factor of 26 and 38

Answers

Answer: The GCF is 2 and the LCF is 1

Step-by-step explanation:

HELP with this problem please

Answers

Answer: 2

Step-by-step explanation:that is the one that is used the most?

2
Which list orders integers from least to greatest?
A.
-2, -4, -5, 7, 3
B.
-2, -4, -5, 3, 7
C.
-5, -4, -2, 3, 7
D.
-5, -4, -2, 7, 3

Answers

The answer is C. I hope this helps you.
C. Because if it’s negative the biggest number has the smallest value hope this helps

(Giving brainliest to correct answer)

Congruence

Answers

Answer:СССР в зеркале

Кто первый спустит курок

Убеждаешь - ложно заявляя свободу личности.

Бушующие войны и П-С-О,

Космос, О-С-В

Брежнев Рейган

Страх оружия С-Я-С

До взаимного уничтожения

Силой и мощью

Союза Советских Республик

Патриоты работают силой порядка

Светлое строят будущее

Наука, Творчество, Семья, Союз,

Образование, Коммуналка, Труд,

Дисциплина, Планировка, Доброта.

Родина – поём тебе,

В верности клянёмся,

Пролетарии всех стран Соединяйтесь

Серп и Молот!

Step-by-step explanation:

PLEASE HELP zoom in to remove blur

Answers

Answer:

The answer is (x + 12) and (x - 12)

What the person above me said

Is this a function? Explain with full sentence
[(2,3) (2,4) (2,5) (2,3)]

Answers

Answer:

no their is not supposed to be any repeating x's

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

10 points
What is the value of x in the figure
below?
(4x)
A.
x = 18
B. X= 22
C.
x = 30
D. x = 45
Pls help

Answers

Answer:

A

Step-by-step explanation:

I hope this helps and sorry if I'm wrong!

Multiply. Express your answer in simplest form.

Answers

Answer:

Bet

Step-by-step explanation:

It’s a simple one to write. There are many trios of integers (x,y,z) that satisfy x²+y²=z². These are known as the Pythagorean Triples, like (3,4,5) and (5,12,13). Now, do any trios (x,y,z) satisfy x³+y³=z³? The answer is no, and that’s Fermat’s Last Theorem.

On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42?

That turned out to be much harder—as in, no one was able to solve for those integers for 65 years until a supercomputer finally came up with the solution to 42. (For the record: x = -80538738812075974, y = 80435758145817515, and z = 12602123297335631. Obviously.)

Substitute x=5 into the expression 4x-8 and simplify

Answers

Answer:

4(5) - 8

20 - 8

= 12

3000-{ ( 3848 : 74 + 23 x 12 ) x 8 } - ( 125 x 14 : 10 ) =

Answers

Answer:

2739

Step-by-step explanation:

3000-(52+276:8)-(1750:10)

3000-(52+34)-175

3000-86-175=2739

hi, back at it agian. i dont think this would be to hard. delta math sucks... i need this asap! ·ω·

Answers

Answer:

I can't read the words the picture is to grainy

Answer:

10% would be 6

Step-by-step explanation:

First you want to find the 100 percent amount  to turn 40 into 100 you need to multiply it by 2.5 so you want to take 24 and multiply by 2.5 which equal 60 and 60 divided by 10  is 6


Write 89 tenths in standard form *

Answers

89 tenths......................

Answer:

.89

Step-by-step explanation:

Standard for is just the number version. Word for is it spelled out, eighty-nine tenths.

find the slope thanks PLEASE ​

Answers

Answer:

37) -1/3

38) 8/5

39) 0

40) -2/3

Step-by-step explanation:

An art class is making a mural for their school which has a triangle drawn in the middle. The length of the bottom of the triangle is x . Another side is 12 more than times two the length of the bottom of the triangle. The last side is 7 more than the bottom of the triangle. Write and simplify an expression for the perimeter of the triangle.

Answers

Answer:

P = 4x + 19

Step-by-step explanation:

Given triangle with sides:

a = xb = 2x + 12c = x + 7

Perimeter is:

P = a + b + c ⇒P = x + 2x + 12 + x + 7 = 4x + 19 ⇒P = 4x + 19

Fill in the blanks to tell how the point of view in this part of the passage is different from the point of view in the making of a mountain 

Answers

Answer:

important and agree,

Step-by-step explanation:

I did this

Answer:

important and agrees with.

Step-by-step explanation:

(no reporting this.)

hope this helps!

Is the following table proportional or non-proportional?

Answers

Answer:

proportional

Step-by-step explanation:

y= -7x

In how many ways can Anna arrange 2 math books, 3 physics books, and 5 chemistry books on her shelf if all books of the same subject must be adjacent? (The books are distinguishable.)

Answers

Answer:

8640 ways

Step-by-step explanation:

Arranging the books of each subject:

Math:

Combination of 2 books → 2! = 2

Physics:

Combination of 3 books → 3! = 6

Chemistry:

Combination of 5 books → 5! = 120

We also need to consider the subjects.

There are 3 subjects, kept separately, they will be arranged in 3! = 6 ways

So the total number of combinations is:

2*6*120*6 = 8640

Answer:

2 maths books can be arranged as (2!=2) ways 3 physics books can be arranged as (3!=6) ways5 chemistry books can be arranged as (5!=120) waysBooks can be arranged in suject-wise in (3!=6) ways

Hence, total ways are (2×6×120×6) ways =8640 ways.

8640 is the right answer.

Which equation represents the relationship between the x-and y-values shown in the table?

Answers

the second one because the exddddsedfffdffdggf
y=3x-4
7*3=21-4=17
5*3=15-4=11
3*3=9-4=5
2*3=6-4=2

If you have a 10% off coupon and you buy a 20$ shirt how much you pay with the coupon?

Answers

Answer:

18.00$

Step-by-step explanation:

Answer:

$18.00

Step-by-step explanation:

Thus, a product that normally costs $20 with a 10 percent discount will cost you $18.00, and you saved $2.00.  You can also calculate how much you save by simply moving the period in 10.00 percent two spaces to the left, and then multiply the result by $20 as follows: $20 x .10 = $2.00 savings.  Furthermore, you can get the final price by simply deducting .10 from 1 and multiplying it by $20 as follows: (1 - .10) x $20 = $18.00 final price.

PLEASE ANSWER!!!!!!!!!!!!!!!!!!!

Answers

Answer:

answer attached

Step-by-step explanation:

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