An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 22 feet up. The ladder makes an angle of 77^{\circ} ∘ with the ground. Find the length of the ladder. Round your answer to the nearest tenth of a foot if necessary.

Answers

Answer 1

Now

[tex]\\ \rm\Rrightarrow sin\theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{22}{H}=sin77[/tex]

[tex]\\ \rm\Rrightarrow H=22/sin77[/tex]

[tex]\\ \rm\Rrightarrow H=22.59ft\approx 23ft[/tex]

An Electrician Leans An Extension Ladder Against The Outside Wall Of A House So That It Reaches An Electric
Answer 2

The length of the extension ladder that is against the outside wall of the house is 22.58 feet.

What is the length of the ladder?

When the ladder lies against a house, a right triangle is formed. The length of the ladder is the hypotenuse. The distance from the base of the ladder to the house is the base. The lenfth off the house is the length.

To find the length of the ladder, Sin would be used:

Sin = opposite / hypotenuse

Sin 77 = 22 / h

h = 22 / 0.9743 = 22.58 feet

To learn more about trigonometry, please check: https://brainly.com/question/22782564

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Related Questions

Work out
92.6
% of
103.93
km
Give your answer rounded to 2 DP. HURRY

Answers

to find:

92.6% of 103.93km

solution:

Our output value is 103.93.

let's represent the unknown as x.

103.93=100%

Similarly, x=92.6%

103.93= 100% (1)

x= 92.6% (2)

By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of bothequations have the same unit (%); we get:

103.93/x = 100%/ 92.6%

the reciprocal of both sides gives:

x/ 103.92 = 92.6/100

= 96.23918

2 dp= 96.24

so 92.6% of 103.93km is 96.24 when rounded to 2 decimal place.

Answer:

96.24 km

Step-by-step explanation:

To Find :

92.6% of 103.93 km

Solving :

% to decimal = ÷ by 10092.6% = 0.926⇒ -.926 x 103.93⇒ 96.23918⇒ 96.24 km (In 2 decimal places)

Write the statements of the following algebraic expressions!
A- a+1
B- q-9
C- 3y+7
D- x/3+9
E- 3x+10

Answers

Answer:

See below ↓↓↓↓↓

Step-by-step explanation:

A - the sum of a number 'a' and 1B - the difference between a number 'q' and 9C - 7 plus the product of a number 'y' and 3D - 9 plus the quotient of a number 'x' and 3E - 10 plus the product of a number 'x' and 3
A- a+1

= 1 more than a number (a)

B- q-9

= q less than 9

C- 3y+7

= 3 times y added to 7

D- x/3+9

= a number (x) divided by 3 more than 9

E- 3x+10

= 3 times x added to 10

find 60% of 40 gallons.

Answers

Hey there!


60% of 40

= 60% * 40

= 60/100 * 40

= 60 ÷ 20 / 100 ÷ 20 * 40

= 3/5 * 40

= 3/5 * 40/1

= 3(40) / 5(1)

= 120 / 5

= 120 ÷ 5 / 5 ÷ 5

= 24/1

= 24 ÷ 1

= 24


Therefore, your answer is: 24


Good luck on assignment & your day day!


~Amphitrite1040:)

3. Solve the inequality and graph the solutions.
-5x < 15

Answers

Answer:

[tex]\boxed{{x} > -3}[/tex]

Step-by-step explanation:

Given inequality:

[tex]-5x < 15[/tex]

To solve this inequality, we need to isolate the variable on one side and the constant on the other. To do this, we can divide both sides by -5.

[tex]\rightarrowtail -5x < 15[/tex]

[tex]\rightarrowtail \dfrac{-5x}{-5} < \dfrac{15}{-5}[/tex]

[tex]\rightarrowtail x < \dfrac{15}{-5}[/tex]

Note: If we are dividing both sides by a negative integer, the sign changes.

[tex]\rightarrowtail {x} > \dfrac{15}{-5}[/tex]

To simplify 15/-5, we can multiply -1 to the numerators and the denominators. As a result, the negative sign should transfer to the numerator, as when two negative integers multiply each other, the result is a positive integer.

[tex]\rightarrowtail {x} > \dfrac{15}{-5} \times \dfrac{-1}{-1}[/tex]

[tex]\rightarrowtail {x} > \dfrac{-15}{5}[/tex]

[tex]\rightarrowtail \boxed{{x} > -3}[/tex]

Graph:

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{-5x < 15}\\\\\large\text{DIVIDE -5 to BOTH SIDES}\\\\\mathsf{\dfrac{-5x}{-5} < \dfrac{15}{-5}}\\\\\large\text{SIMPLIFY IT!}\\\\\mathsf{x > -3}\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{x > -3}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

INSECT CONTROL Mr. Malone used 40 pounds of insecticide to cover 1,760 square feet of lawn and 60 pounds to cover an additional 2,640 square feet. How many pounds of insecticide would Mr. Malone need to cover his whole lawn of 4,480 square feet

Answers

Answer:

101.8 lb

Step-by-step explanation:

1760 sq ft are covered by 40 lb

4480 sq ft are covered by x

1760/40 = 4480/x

1760x = 40 × 4480

x = 179,200/1760

x = 101.818181...

Answer: 101.8 lb

Hi please help me out I’m really struggling with geometry rn and I can’t afford to buy the tutor thing

Answers

Alright let's solve this problem step by step:

Question 1: Find the perimeterDefinition of Perimeter: basically all the side lengths added up

   The figure is made up triangles

      ⇒ however, we do not know the slanted line that goes from the tip to

           the edge of the base.

           ⇒ we can use the Pythagorean Theorem to help us

                 [tex]2^2 + (5.7)^2 = slanted-line^2\\slanted-line = 6.04[/tex]

   Perimeter = 6.04 + 6.04 + 6.04 + 6.04 + 6.04 + 4 + 4 + 4 + 4 + 4

                      = 50.2 inches

Question 2: Find the slant heightDefinition of Slant height: is the distance measured along a lateral face from the base to the tip along the "center" of the face.

         *look at image attached to better understand this definition

           ⇒ Slant height = 5.7inches

Question 3: Find the Lateral AreaDefinition of Lateral Area: area of the non-base faces only

   Lateral Area = 5 * (Area of Triangle Faces)    

                         = [tex]5 *(\frac{1}{2} *5.7 * 4) = 5*2*5.7 = 5 * 11.4[/tex]

                         = 57 in^2

Hope that helps!

find the circumference

Answers

Answer:

18πm

Step-by-step explanation:

The area is πr^, so to find just the radius, take the square root of 81.

This means the radius is 9, and because the formula for the circumference is 2πr, simply double it and multiply by π to get 18π.

If you found this helpful, I would appreciate if you gave me the brainliest award :D

A triangle has sides with lengths of 9 miles, 12 miles, and 15 miles. Is it a right triangle?

Answers

Answer:

The three sides 9 in, 12 in, and 15 in do represent a right triangle. Since the square of the hypotenuse is equal to the sum of the squares of the other two sides, this is a right triangle.

Step-by-step explanation:

15² = 9² + 12²

225 = 81 + 144

225 = 225

so it is an right angled triangle....

( using : if the sum of the squares of the smaller two sides is equal to the square of the largest side, then the traingle is a right triangle.)

( Find the Mean Absolute Deviation and the Mean )
How many siblings do the students in my math class have?
3,2,2,5,4,1,3,4,1,0,3,2,1,1,6,3

Answers

Answer:

Mean Absolute Deviation (MAD): 1.3125

Mean: 2.5625

Step-by-step explanation:

.

Find the lateral surface area of this rectangular prism in centimeters. refer to your staar 8th grade math reference sheet for the appropriate formula. question 2 options: 28 cm2 36 cm2 42 cm2 48 cm2

Answers

The lateral surface area of a rectangular prism has length, breadth, and height is 3cm, 3cm, and 2cm is 36cm sq.

What is the lateral surface area of this rectangular prism?

A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.

The lateral surface area of this rectangular prism = 2( l + b) h

It is given that length, breadth and height are 3cm, 3cm and 2cm.

The lateral surface area of this rectangular prism = 2( l + b) h

= 2 (3+3) 2

= 4 × 9

= 36cm sq.

Hence, the lateral surface area of this rectangular prism is 36cm sq.

Learn more about prism;

brainly.com/question/1601740

Answer:

39 ig

Step-by-step explanation:

Can, you help me thanks. <3

Answers

Answer:

I think the 1st one is the answer

Step-by-step explanation:

if it helpful to you give me a brainliest

Which of the following addition problems yields a sum that is an irrational number? Select TWO that apply. (answers in picture)

Answers

Answer:

probably the answer to the following question is B and C I hove this helps because this numbers cannot be fraction only decimal

Help me quickly!!
Brainliest + 50 points
No spammers allowed
Thanks in advance
:) :)

Answers

Answer:

x = 5

Step-by-step explanation:

Given coordinates: (3, 4) (x, 6)

Slope: 1

Use the slope formula to find the value of x:

Slope = y2 - y1 / x2 - x1

Substitute the given information into the formula:

1 = [tex]\frac{6-4}{x-3}[/tex]

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

Multiply both sides of the equation by the common denominator:

[tex]\frac{2(x-3)}{x-3} = x-3[/tex]

Reduce the fraction:

2 = x - 3

Rearrange variables to the left side of the equation:

-x = -3 - 2

Calculate:

-x = -5

Divide both sides with the coefficient of the variable:

x = 5

hope this helps!! p.s. i really need brainliest :)

Answer:

x = 5

Step-by-step explanation:

Slope formula

[tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\sf let\:(x_1,y_1)=(3,4)[/tex]

[tex]\sf let\:(x_2,y_2)=(x,6)[/tex]

[tex]\sf \implies slope=\dfrac{6-4}{x-3}=\dfrac{2}{x-3}[/tex]

As the slope equals 1:

[tex]\begin{aligned}\sf \implies \dfrac{2}{x-3} & =1\\\sf 2 & =\sf x-3\\ \sf 2+3 & =\sf x\\ \sf x & = \sf 5\end{aligned}[/tex]

Therefore, x = 5

Please Help Me!!
The price of a loaf of a particular type of bread increased from $3.70 to $5.59 from 2011 to 2021. What was the percent increase in the price of the loaf of bread over those 10 years? Round your answer to the nearest tenth of a percent.

The price of the loaf of bread over the 10 years was_____%(round to the nearest tenth of a percent.)

Answers

Answer:

51.1% to the nearest tenth.

Step-by-step explanation:

Increase = 5.59 - 3.70 = $1.89.

% increase = (1.89/3.70) + 100

= 51.08%

Is FGH ~ JKL? If so, identify the similarity postulate or theorem that applies.

Answers

Answer:

It is similar by AA

Step-by-step explanation:

AA stands for angle-angle. In similar figures, angles are congruent, and the sides are proportional. the corresponding angles are the same. Hope this helps!

9. A bacteria population, , can be represented by the equation p= 100,000 times(1/4)^d,
where d is the number of days since it was measured.
a. What was the population 3 days before it was measured? Explain how you
know.
b. What is the last day when the population was more than 1,000,000? Explain how
you know.

Answers

#1

3days back means 3

Put it

[tex]\\ \rm\Rrightarrow p=100000(0.25)^{3}[/tex]

[tex]\\ \rm\Rrightarrow p=100000(0.015625)[/tex]

[tex]\\ \rm\Rrightarrow p=1562.5[/tex]

Now

#2

Let's see

[tex]\\ \rm\Rrightarrow 100000(0.25)^d=1000000[/tex]

[tex]\\ \rm\Rrightarrow 0.25^d=10[/tex]

[tex]\\ \rm\Rrightarrow ln0.25^d=ln10[/tex]

[tex]\\ \rm\Rrightarrow dln0.25=2.3[/tex]

[tex]\\ \rm\Rrightarrow d(-1.39)=2.3[/tex]

[tex]\\ \rm\Rrightarrow d=-1.654[/tex]


Write a formula for function h in terms of function f.
h(x)=

Answers

Answer:

h(x) = f(x + 12) - 4

Step-by-step explanation:

According to the graph, the function h(x) is the translation of the function f(x) to the right and down.

Compare the coordinates of the vertices to write the formula

(- 6, 11) → (6, 7)x = 6 - (-6) = 12y = 7 - 11 = - 4

The formula is

h(x) = f(x + 12) - 4

Answer:

h(x) = f(x - 12) - 4

Step-by-step explanation:

The vertex is the turning point (stationary point or minima/maxima) of the graph.

To find the series of translations that transform the graph of y = f(x) onto y = h(x), compare the vertices of both graphs.

Vertices of given functions:

Vertex of f(x) = (-6, 11)Vertex of h(x) = (6, 7)

Differences

x-values:  6 - (-6) = 12y-values:  7 - 11 = -4

Therefore, y = f(x) has been:

translated 12 units righttranslated 4 units down

Translations

For a > 0

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

Therefore:

f(x) translated 12 units right = f(x - 12)f(x - 12) translated 4 units down = f(x - 12) - 4

So the formula for h(x) in terms of f(x) is:

h(x) = f(x - 12) - 4

Learn more about transformations here:

brainly.com/question/27845947

Find the slope of the line that passes through the following points. Write "undefined" if there is no slope. (-8, -3) (-8, -2) Write your answer as a fraction if needed.​

Answers

Answer:
Undefined
Step-by-step explanation:
Slope can be found by using the formula (y2 - y1) / (x2 - x1). In this case, -2 is y2, -3 is y1, and both x2 and x1 are equal to -8. (-2 - -3) / (-8 - -8) = 1/0. Since the denominator is 0, this slope is a vertical line, which is undefined.

Answer:

undefined

Step-by-step explanation:

Given points:  (-8, -3) and (-8, -2)

As the x-value of both points is the same, there is no slope.

Therefore, the line that passes through the two given points is a vertical line at [tex]x=-8[/tex]

Proof

[tex]\textsf{let}\:(x_1,y_1)=(-8,-3)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(-8,-2)[/tex]

[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-2-(-3)}{-8-(-8)}=\dfrac{1}{0}[/tex]

Any number divided by zero is undefined.

What is the difference between 3/4 and 1 1/2

Answers

Answer:

3

Step-by-step explanation:11/2 = to 6/2 so the diffrence is 3 im geussing

In order to be successful in taking math exams, what are some important test taking strategies?

Answers

Answer:

Hope this helps =)

Step-by-step explanation:

Read the questions carefullyBookmark questions you don't know or are unsure aboutStudy before the day of the testGet enough sleep the day before the testEat a good breakfast the day of the testRecheck problemsWork it out

A cylinder has a radius of 3 ft and a height of 5 ft. Find the volume

Answers

Question :-

A Cylinder has a Radius of 3 Ft and a Height of 5 Ft . Find the Volume .

Answer :-

Volume of Cylinder is 141.42 Ft³ .

Explanation :-

As per the provided information in the given question, we have been given that the Radius of the Cylinder is 3 Ft . The Height is given as 5 Ft . And, we have been asked to calculate the Volume of Cylinder .

For calculating the Volume , we will use the Formula :-

[tex] \bigstar \: \: \: \boxed{ \sf{ \: Volume \: _{Cylinder} \: = \: \pi {r}^{2}h \: }} [/tex]

Where ,

R denotes to RadiusH denotes to Height

Therefore , by Substituting the given values in the above Formula :-

[tex] \Longrightarrow \: \: \: \sf { Volume \: _{Cylinder} \: = \: \pi {r}^{2}h } [/tex]

[tex] \Longrightarrow \: \: \: \sf { Volume \: _{Cylinder} \: = \: \dfrac {22}{7} \: \times \: ({3})^{2} \: \times \: 5 } \\ [/tex]

[tex] \Longrightarrow \: \: \: \sf { Volume \: _{Cylinder} \: = \: \dfrac {22}{7} \: \times \: 9 \: \times \: 5 } \\ [/tex]

[tex] \Longrightarrow \: \: \: \sf { Volume \: _{Cylinder} \: = \: \dfrac {22\: \times \: 9 \: \times \: 5 }{7}} \\ [/tex]

[tex] \Longrightarrow \: \: \: \sf { Volume \: _{Cylinder} \: = \: \dfrac { \: 990 \: }{7}} \\ [/tex]

[tex] \Longrightarrow \: \: \: \bf { Volume \: _{Cylinder} \: = \: 141.42 } [/tex]

Hence :-

Volume of Cylinder = 141.42 Ft³ .

[tex] \underline {\rule {180pt}{4pt}} [/tex]

Answer:

Volume of cylinder is 141.3 ft³ ( Taking value of π as 3.14 )

Step-by-step explanation:

Question : -

A cylinder has a radius of 3 ft and a height of 5 ft. Find the volume .

Given : -

Radius of cylinder = 3 ft

Height of cylinder = 5 ft

To Find : -

We have to , volume of Cylinder .

Formula Used : -

[tex] \boxed{ \sf{Volume \: of \: Cylinder = \pi r {}^{2} h }}[/tex]

Where ,

π = 3.14

r = radius of cylinder

h = height of cylinder

Solution : -

[tex] \longrightarrow \: \pi r {}^{2} h[/tex]

Now , substituting values of radius and height :

[tex]\longrightarrow \: 3.14 \times (3) {}^{2} \times 5[/tex]

Now , calculating :

[tex] \longrightarrow 3.14 \times 9 \times5 [/tex]

Firstly , multiplying 9 and 5 :

[tex]\longrightarrow \: 3.14 \times 45[/tex]

Atlast , multiplying 3.14 and 45 :

[tex] \longrightarrow \: \bold{ 141.3}[/tex]

[tex] \red{ \boxed{ \rm{Therefore , \: volume \: of \: cylinder \: is \: 141.3 \: ft {}^{3} }}}[/tex]

#Keep Learning

A. Determine the number of diagonals that can be drawn in each polygon.

1. Triangle
2. Pentagon
3. 15-sided polygon
4. 18-sided polygon​

Answers

Answer:

Here is your answer...

Step-by-step explanation:

1. Triangle = 0

2. Pentagon = 5

3. 15-sided polygon = 90

4. 18-sided polygon = 135

Mr. warren has a bag of nails assorted lengths. he asks his sons paul and tim to sort them by length. paul pours 3/4 of the bag of nails out and sorts them. he makes a chart showing the number of nails of each length.

later, Tim sorts the rest of the nails approximately how many 1-inch nails can tim expect to find in the rest of the nails? 100 pts

Answers

Answer:

Step-by-step explanation:

he has 1/4 remaining as he has only used 3/4

Ursula is starting a new national network of science fiction book clubs. The establishment and expansion of the network is as follows. The original network began with eight people in each club and four clubs in each of two states. Every month, the number of people in each club increases by two and the number of clubs in each state grows by one. The number of states where the groups exist also increases by one every month. The total number of people in the network of book clubs is represented by the expression below, where x is the number of months since the clubs were established.

Answers

Using derivatives, it is found that the correct option is given by:

A. The expression 2x² + 20x + 32 represents the average rate of increase in the total number of clubs in the network across all states.

What is the meaning of the derivative of a function?

It is the rate of change of the function over a period of time.

In this problem, the total number of people in the book club after x months is given by:

f(x) = 2x³ + 20x² + 64x + 64

The derivative is given by:

f'(x) = 4x² + 40x + 64 = 2(2x² + 20x² + 32).

It represents the average rate of change across all states, hence option A is correct.

More can be learned about derivatives at https://brainly.com/question/2256078

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For the curve y=x^4+1, find the gradient of the secant between the point (1, 2) and
the point where x=1.01.

Answers

Answer:

4.06.

Step-by-step explanation:

Where x = 1.01,  y = (1.01)^4 + 1 = 1.0406 + 1

= 2.0406

So the gradient between (1, 2) and (1.01, 2.0406)

= (2.0406 - 1)/(1.01 - 1)

= 4.06.

Please help. ASAP. This is so confusing.

Answers

1. right triangle?

-> c²= g²+b²

c²= 20²+21²

c²= 841

c=V841

c=29

-> triangle BCG is right

2.

cos B= 20/29

tan B= 21/20

sin B= 21/29

sin G= 20/29

cos G= 21/29

tan G= 20/21

NEED HELP ASAP!! 5TH GRADE MATH, WILL GIVE BRAINLIEST!!!

Answers

Answer:

14,880: So yes, it will be greater than 12400.

Step-by-step explanation:

Because you can simplify the fraction from 1 1/5 to 6/5, and 6/5 is equal to 1.2, simply multiply 12400 by 1.2, which would get you 14800. In other words, if it was multiplying by a number less than 1.2, then it would be less than 12400.

Hope this helps!

Quadrilateral ABCD is reflected over the x-axis to create A′B′C′D′. What are the coordinates of A'?

Question 8 options:

(2, 4)


(-2, 4)


(4, 5)


(6, 12)

Answers

Answer: (2, 4)

Step-by-step explanation:  If it is reflected over the x-axis then the coordinates of A is (2, 4)

Find the volume of the rectangular prism. Enter your answer in the box
u will get 50 points don't answer if you don't know

Answers

Answer:

151.7 cm^3

Step-by-step explanation:

3.7 x 10 x 4.1 = 151.7

BRAINLIEST? TY!!

Answer:

151.7 cm^3

Step-by-step explanation:

If you didn't know already the volume of a rectangular prism is

length x witdh x height.

Multiply 10x4.1 and you will get 41

Then multiply 41 by 3.7 to get 151.7.

Select the correct answer from each drop-down menu.
Which data set has a greater spread? Why?

Set A: {38, 12, 23, 48, 55, 16, 18}
Set B: {44, 13, 24, 12, 56}


has a greater spread because
.
Reset Next

Answers

Answer:

B

Step-by-step explanation:

B because range of set B is more than set A

range B=56-12=44

range A=55-12=43

Other Questions
Typically, the ice sheet begins to show evidence of thawing in late summer, following several weeks of higher temperatures. For example, in the summer of 2012, virtually the entire Greenland Ice Sheet underwent thawing at or near its surface by mid-July, the earliest date on record.A) NO CHANGEB) However,C) As such,D) Moreover, hint its not a or c I sold 853 raffle tickets at 5 for $20. How much money did I make? (1/3)^2+3^2 i have been stuck on it The movie theater had a preview of this summer's blockbuster for free.What is the meaning of preview?A. view duringB. view beforeC. view afterD. view later Help pls :)Im a little slow 1,945x46 multiplying multiplication Mrs. Trevino was asked to provide at least 120 bagels for a workshop. She already has 2 dozen bagels. Mrs. Trevino will buy the remaining bagels in packages of 6. which inequality shows all the values of x if x equals the number of packages or bagels she could buy, beginning wath the minimum value of x? You must write and solve an inequality to receive credit. Need help with math!!!! Which linear line equation has no solution? complete the diagram of the mechanism of a general enzyme-catalyzed reaction. the abbreviations e, p, and s indicate the enzyme, product, and substrate, respectively. At the popular restaurant fire wok 55% of guests order the signature dish what fraction of guests order the signature dish? Which of the following choices describes a benefit of genres Climates that have the fastest rate of weathering are:. Straight-line, declining-balance, and activity-based refer to methods commonly used to. The leadership aspect of managerial leaders is to ______, while the management part is to ______. 16. provide the five spanish present indicative tense conjagation of the verb ser(to be) Which of the following is not a good note-taking skill?all notes copied directly from source materialnote cards identified with source namenotes taken on cards Can someone please help me with this questions thank you !! The circumference of a circle is 11 inches. What is the area, in square inches, of the circle? Express your answer in terms of pi Find the least common denominator of 1/5 and 3/10?