40) A 10 ft. ladder positioned against a house makes a 65 degree angle with the ground. How far away
from the house is the base of the ladder?
A. 4 feet
B. 6 feet
C. 9.06 feet
D. 4.22 feet

Answers

Answer 1

Answer:

Distance of ladder from base = 4.22 feet (Approx.)

Step-by-step explanation:

Given:

Length of ladder = 10 feet

Angle with ground = 65°

Find:

Distance of ladder from base

Computation:

Length of ladder (hypotenuse) = 10 feet

Distance of ladder from base (Base)

Using trigonometry function

Cosθ = Base / Hypotenuse

Cosθ = Distance of ladder from base / Length of ladder

Cos65 = Distance of ladder from base / 10

0.4226 = Distance of ladder from base / 10

Distance of ladder from base = 0.4226 x 10

Distance of ladder from base =  4.226

Distance of ladder from base = 4.22 feet (Approx.)


Related Questions

F=110+0.12dF=110+0.12dF, equals, 110, plus, 0, point, 12, d What is the increase in price for every 100100100 meters climbed? \$

Answers

Answer:

$12

Step-by-step explanation:

At Simba Travel Agency, the price of a climbing trip to Mount Kilimanjaro includes an initial fee plus a constant fee per meter. F(d), models the fee (in dollars) for climbing d meters. F(d)=110+0.12d, What is the increase in price for every 100 meters climbed?

Given:

F(d) = 110 + 0.12d

Where,

F(d) = the fee (in dollars)

d = number of meters climbed

What is the increase in price for every 100 meters climbed?

F(d) = 110 + 0.12d

$110 is the fixed fee

0.12 is the increase in price per meter.

Increase in price per 100 meters climbed = 0.12d

= 0.12 × 100

= 12

Increase in price per 100 meters climbed = $12

I can't figure out the answer

Answers

Answer:

63/100

Step-by-step explanation:

Im Pretty sure this the correct answer

Need help with 2 and 3 ASAP PLEASE SHOW WORK it’s due soon please

Answers

Answer:

The volume of the cone is 25.13, the other one is 167.55

Step-by-step explanation:

v = 1/3pi(2)^2(6)

simplify and divide the above.

v = 25.13

1/3pi(4)^2(10)

= 167.55

PLEASE HELP ME GUYS ×0×

Find the RATIO and the EXACT VALUE of the given Tan A.​

Answers

Answer:

Step-by-step explanation:

take angle A as reference angle

using tan rule

tan A=opposite/adjacent

tan A=5/12

tan A=0.41

A=tan 22.5

A=22.5

for ratio,

tan A=5/12

how do I solve −2x−9≥5 to get x

Answers

Answer:

x = - 7

Step-by-step explanation:

- 2x = 5 + 9

- 2x = 14

x = - 14 / 2

x = - 7

Hope this answer helps you  :)

Have a great day

Mark brainliest

Answer:

x ≤ -7

Step-by-step explanation:

−2x−9 ≥ 5

add 9 to both sides

-2x -9 +9 ≥ 5+9

-2x ≥ 14

divide -2 on both sides

since we're dividing by a negative number we need to flip our inequality sign

-2x/-2 ≥ 14/-2

x ≤ -7

A spinner has three sections. The table shows the results of spinning the arrow on the spinner 80 times.

What is the experimental probability of the arrow stopping over Section 1?


128

720

713

45
Section 1 Section 2 Section 3
28 36 16

Answers

Answer:

7/20

Step-by-step explanation:

Frequency of Section 1 is 28 and total number of  frequencies is 80.

P(Section 1) = 28/80 = 7/20

Answer:

the frst person id wight!

Step-by-step explanation:

Trigonometry help please show work. Due soon please help

Answers

Answer:

Step-by-step explanation:

PLEASE HELP ASAP

The equation of the linear regression line represents the relationship between the amount a person saved, x, and the amount earned, y.
y^= 100x + 50
What does the slope of the line represent?

Answers

I think option b is right correct

Hence, the slope of the line means for every one dollars the person earn the saving decrease by 1 dollars

How to know what the slope of a line represents?

The equation of the linear regression line represents the relationship between the amount a person saved, x, and the amount earned, y.

Therefore,

y = 100x + 50

Using the linear equation model,

y = mx + b

where

m  = slopeb = y-intercept

Therefore,

slope = 100

y-intercept = 50

Hence, the slope represents for every one dollars the person earn the saving decrease by 1 dollars

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For an equation that represents as a function of the set of all values taken on by the ________ variable is the domain, and the set of all values taken on by the ________ variable is the range

Answers

Answer:

Independent  [tex]\to[/tex]  Domain

Dependent [tex]\to[/tex] Range

Step-by-step explanation:

Required

Fill in the gaps

A function is represented as:

[tex]y = f(x)[/tex]

Where, x represents the set of input values (or the domain) and y, the set of output values (or the range).

Since the input values are represented by x, they are referred to as the independent variables while the output values are referred to as the dependent values because they depend on the x values for their output.

What is the volume of this prism

Answers

Hi there!

[tex]\large\boxed{\text{A. } 320 cm^3}[/tex]

We can begin by finding the area of the base in order to solve for the volume.

Use the formula for the area of a trapezoid:

A = 1/2(b1 + b2)h

Substitute the given values:

A = 1/2(10 + 6)5

A = 1/2(16)5

A = 40 cm²

Multiply by the depth of the prism to solve for the volume:

40 × 8 = 320 cm³

5. Cost to store: $65
Markup: ?
Selling price: $91

Answers

Answer:

40 %

Step-by-step explanation:

the difference between cost and selling price:

91 - 65 = 26

Find the percentage:

26/65 = 0.4 --> 40%

Markup = 40%

Hope this answer helps you :)

Have a great day

Mark brainliest

Solve for x
−4(2x+5)+5x−1= −48

Answers

x=9 (this is a shortcut might not be the right answer.)

Answer:

x=9

Step-by-step explanation:

−4(2x+5)+5x−1= −48

-8x-20+5x-1=-48

-3x-21=-48

-3x=-27

x=-27/-3

x=9



1. Calculate the circumference of the circle to the right. Use 3.14 for at
34 cm
Circumference: Click to add text

Answers

Answer:

circumference of the circle=2πr

=2×3.14×17

=106.76cm

how would i analyze this ???

Answers

Answer:

2018

Step-by-step explanation:

Jake wants to distribute 543 marbles equally among 7 of his friends. In which place is the first digit of the quotient?

Answers

Answer:

tens place

Step-by-step explanation:

543/7≈77.5714285714

the first digit of the quotient is in the tens place

The first digit of the quotient is in tens place.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Jake wants to distribute 543 marbles equally among 7 of his friends.

Now,

Since, Jake wants to distribute 543 marbles equally among 7 of his friends.

Hence, Number of marbles get by each friend = 543/7

                                                                         = 77.57

Thus, The first digit of the quotient is in tens place.

Learn more about the divide visit:

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A company makes fish tanks in the shape of right rectangular prisms. The company has an order for a fish tank that must be exactly 4 feet long and hold at least 35 cubic feet of water. The company wants to save money on materials and will make the tank with the smallest surface area possible. The dimensions of the tank must be in whole foot increments and a top is included in the construction What dimensions for the width and height of the fish tank will satisfy the requirements

Answers

The dimensions for the width and height of the fish tank will be 4 feet and 2 feet .

What is dimension?

Dimension is the measurable extent of a particular kind, such as length, breadth, depth, or height.

According to the given problem,

let , b = is the width of the fish tank

h = is the height of the fish tank given that , hold at least 35 cubic feet of water .

so ,

4×b×h ≥ 35

⇒ h ≥ 35/4b

now , surface area of the fish tank

⇒ 4b + 2× 4h + 2× bh

now substitute the value of h

here

⇒ ≥ 4b +70/b + 35/2

⇒ ≥ 40(70)^1/2 + 35/2 (if and only if b= (70)^1/2 / 2 , the equal sign holds )

therefore ,

= (70)^1/2 / 2 b ≈ 4.18 so b is 4 . when b = 4 ,

h = 35 / 4 × 4 = 2.1875 round off h = 2

so , the minimum surface area of fish tank is

⇒ 4×4+ 2× 4×2 + 2× 4×2⇒ 48

hence , the height and the width of the fish tank is 2 and 4 .

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Select the correct answer from the drop-down menu.
Consider this system of linear equations:
y- x= -13
-4x + 3y = -51
The solution of the system of equations is
Reset
Next

Answers

Answer:

y - x= - 13   -------(1)

- 4x + 3y = -51 -------(2)

(1) => y = - 13 + x

Substitute y in (2)

- 4x + 3( - 13 + x) = -51

- 4x - 39 + 3x = -51

- x = -51 + 39

- x = -12

x = 12

Substitute x in (1)

y = - 13 + x = -13 + 12 = - 1

x = 12, y = -1

Joelle's homework covers multiplication with powers of 1010 . The first question on her homework is 32.4\ \times10^232.4 ×10 2 . What is the value of the expression?

Answers

Answer:

103.424

Step-by-step explanation:

Answer:

The answwer is 103.424 I am taking this CFA 5th grade test right now because school is almsot going to end.

Step-by-step explanation:

Cual propiedad de los números complejos se muestran a continuación?
(2+3i) + (5-4i) = (5-4i) + (2+3i)

Answers

Las "leyes asociativas" dicen que no importa cómo agrupemos los números (es decir, cuál calculamos primero). Entonces esto sería asociativo.

What is 32% of 150

Please show work or explain your thinking

Answers

32% of 150 is 48
hope this helps

HelpPPppPpPpPppPpP PLEASE:>

Answers

it’s the graph on the top right :)

Answer:

number 2 is the answer by looking at the slopes of the lines.

Multiply the binomials (5x-2)(x+3)

Answers

the answer is 5x^2+13-6

Answer:

5x² + 13x - 6

Step-by-step explanation:

F - First ( multiply the first terms from each bracket )

I - Inner ( multiple the last term of the first bracket and the first term of the second bracket )

O - Outter ( multiply the outer terms i.e the first term of the first bracket with the last term of the 2nd bracket )

L - Last ( multiply the last terms of the brackets i.e the last term in the second bracket and the last term in the second bracket )

dont forget to take sign convention into consideration .

Which solution is correct? Be sure to check for extraneous solutions.
2/x / 1/4 = 1/x
a) x=2
b)no solution
c)x=-1
d)x=-4

Answers

That answer is d)x=-4

simplify (2 3/5-1 2/3)×5/8​

Answers

Answer & Step-by-step explanation:

Simplify the expression.

Exact Form:

7/12

Decimal Form:

0.583

Hope this Helps!!! :)

If you have any questions contact me in the comment section below!

when the input to a function is -2,the output is 4.
Which statement about this function must be true?

A. an input of -2 has infinitely many possible outputs.
B. an input of -2 has exactly one possible output.
C. an output of 4 has infinitely many inputs.
D. an output of 4 has exactly one input.

Answers

Answer:

B)

Step-by-step explanation:

Which one is it? please help its due soon

Answers

Answer:

dependant clause I think so I don't know sorry

change the decimals into percentage 6.1 and 0.6​

Answers

Answer:

6.1 = 610%

0.6 = 60%

Step-by-step explanations:

Convert 6.1 to percentage

         [tex]= \frac{6.1}{1} * \frac{100}{100} =\frac{610}{100}[/tex]

         [tex]= \frac{610}{100}[/tex] = 610%

Convert 0.6 to percentage

          [tex]=\frac{0.6}{1} * \frac{100}{100} =\frac{60}{100}[/tex]

          = [tex]=\frac{60}{100} =[/tex] 60%

Step-by-step explanation:

6.1=61 percent

0.6=6 percent

Which verbal expression best represents the algebraic expression 3n-4n ?
A
three less than four times a number
B
four less than three times a number
C
three times four subtracted from a number
D
four times the difference of a number and three

Answers

Answer:

B. four less than three times a number

35%of C is 127 write an equation to represent this problem and solve equation to find volume of C

Answers

35%c=127

i hope this helps

Answer:

c = 620 | (217 x 100) / 35

Step-by-step explanation:

To solve this problem you multiply 217 by 100 and then divide the total by 35 as follows: (217 x 100) / 35

Find x.
[tex] \frac{x}{x + 7} = \frac{16}{22} [/tex]
The equals is for proportionate I couldn't find the symbol for it.​

Answers

According to the property of proportions,

Product of means = Product of extremes

x and 22 are extremes. (x + 7) and 16 are means.

So, simply we did cross multiplication.

Step-by-step explanation:

56/3 is the answer. Refer to the attachment for the solution. :)

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give meanings of (i) inspirational (ii) indifference (iii) frustrating classifying quadrilaterals "Mob Mentality" is -A. the ability to see or know about things outside of the range of ordinary observation, such as predict future eventsB. relating to a religious ceremony or act of the Christian Church that is regarded as a visible sign of spiritual divine graceC. a person who studies the development and function of the nervous system, which includes the brain, the spinal cord, and nervesthroughout the bodyD. the phenomenon when people are influenced by their group to adopt certain behaviors A law firm hires the same number of lawyers every year. At the end of 12 years, the firm has hired 48 lawyers. How many lawyers has the firm hired in the last 5 years? difference between acceleration due to gravity and gravity The Space Club is having someposters printed. The printer charges$250 plus $2 per poster. How manyposters can be printed for $1000? How do the products of a nuclear fusion reaction differ from reactants? 25/24 as a decimal and round it to the nearest hundredth Which species has the most chromosomes? A. cats B. dogs C. crayfish D. humans what will happen if burdens are carried on by few individuals and benefits shared with those who haven't contributedplssss Justin Kace is promoting the metric system and wants people to be able to convert miles to kilometers and kilometers to miles. Develop a program that asks the user for a number of miles and converts miles to kilometers (multiplying miles by 1.609), and then asks for a number of kilometers and converts kilometers to miles (multiplying kilometers by 0.6214). What is the value of x? What did Grace Lorch do to try and help this young female student? A. Gave the student a ride home in her husband's car B. Took the student into the school directly C. Comforted the student and got on the bus with her D. Paid for the student to take a taxi home pls how do i do this my grades are due today:(! i have to pass this class 3. Find the length of the missing side given the information below. A. 5 B. 25 C. 12.5 D. 157 News seems to move faster than small boys can _ and dart to tell it faster than women can call it over the _(The pearl Chapter 4 Questions and Quotes) I cannot find anything in this book Pls................... somebody pls help me Which of the following statements BEST reflects a key belief of leaders of the Second Great Awakening? a. "What I do doesn't matter because one person cannot make a difference."b. "I cannot control my destiny; it has been decided in advance." c. "I can save my own soul, and my good works will improve the world." d. "Individuals must obey their religious leaders." Pattern A starts at 0 and uses the rule "add 4." Pattern B starts at 30 and uses the rule "subtract 3."What are the next four terms in each pattern?Enter your answers in the boxes.