A 40-foot ladder is leaning against a building and forms a 29.32° angle with the ground. How far away from the building is the base of the ladder? Round your answer to the nearest hundredth.

45.88 feet
34.88 feet
22.47 feet
19.59 feet

Answers

Answer 1

Answer:

34.88

Step-by-step explanation:

I took the test

Answer 2

The distance between the building and the ladder is 34.88 foot, the correct option is B.

What is a Right Triangle?

A triangle in which one of the angle measure is equal to 90 degree is called a right triangle.

The ladder forms a right triangle with the building and the ground,

The length of the triangle is 40 foot

The angle made by the ladder is 29.32 degree

By using Trigonometric Ratios

cos 29.32 = Base /  Hypotenuse

cos 29.32 = Base / 40

Base is the distance between the building and the ladder.

Base = 34.88 foot

To know more about Right Triangle

https://brainly.com/question/6322314

#SPJ5


Related Questions

Write an equivalent expression to 1/2 (2n+6).

Answers

Answer:

n+3

Step-by-step explanation:

1/2 × 2(n+3)=n +3

I hope this helps

Rewrite the function f(x)=16^x in four different ways, using a different base in each case.

Answers

Answer:

X=1

f(x)=16^1

=16

X=2

f(x)=16^2

256

X=3

f(x)=16^3

=4096

X=4

f(x)=16^4

=65536

Here are four different ways to rewrite the function f(x) = 16^x, using a different base for each case:

Using base 2:

f(x) = (2^4)^x = 2^(4x)

Using base 3:

f(x) = (3^2)^x = 3^(2x)

Using base 10:

f(x) = (10^(log10(16)))^x = 10^(log10(16) * x)

Using base e (natural logarithm):

f(x) = (e^(ln(16)))^x = e^(ln(16) * x)

How to explain the function

In these rewritten forms, the exponentiation of the base is expressed as a simpler expression.

This involves the new base, which helps to illustrate the relationship between the original function and the different bases used.

Learn more about functions

https://brainly.com/question/11624077

#SPJ2

Find the measure of the missing angles. WILL GIVE BRAINLIEST

Answers

D = 90
This is because any line is equal to 180 degrees, we see that d is situated on a line that continues into another angle, the other angle is 90 degrees, so we minus 90 from 180, to get 90.

E = 99
E is situated on a line with the other angle F, F = 81 (see below) so we minus 81 from 180


F = 81
F is situated on a line, we minus it from the other angle situated on the same line, so we minus 99 from 180to get 81

Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.

How does the function notation compare with the standard notation?

Answers

Therefore, function notation is a way in which a function can be represented using symbols and signs. Function notation is a simpler method of describing a function without a lengthy written explanation. The most frequently used function notation is f(x) which is read as “f” of “x”.

What is the value of 3?

Answers

9514 1404 393

Answer:

  3 ⇒ 12

Step-by-step explanation:

Apparently "a = b" in this case is used to mean f(a) = b. It appears as though the function is ...

  f(x) = x(x+1)

Then f(3) = 3(3+1) = 3·4 = 12

_____

Additional comment

IMO this is a poor use of the equal sign, which should be reserved for situations where the left side expression has the same value as the right side expression.

12. That’s the answer your looking for

What is the slope of the line that contains these points? xxx 454545 494949 535353 575757 yyy 101010 555 000 -5−5minus, 5 slope:

Answers

Answer:

-5/4

Step-by-step explanation:

Given :

x : 45, 49, 53, 57

y : 10, 5, 0, - 5

The slope of the line :

Slope = Rise / Run

y2 = - 5, y1 = 10

x2 = 57, x1 = 45

Rise = y2 - y1 = - 5 - 10 = - 15

Run = x2 - x1 = 57 - 45 = 12

The slope = Rise / Run = - 15 / 12 = - 5/4

Answer:

-1

Step-by-step explanation:

i brought the answer correct

Determine the area of the given parallelogram with length 11 and altitude five

Answers

9514 1404 393

Answer:

  55 square units

Step-by-step explanation:

The area of a parallelogram is the product of base length and height:

  A = bh

  A = (11)(5) = 55 . . . area of the given parallelogram in square units

Use the definition of a Taylor series to find the first four nonzero terms of the series for f(x) centered at the given value of a. (Enter your answers as a comma-separated list.)
f(x) = 7/1+x a=2

Answers

If f(x) = 7/(1 + x), then

f (2) = 7/3

f '(x) = -7/(x + 1)²   ==>   f ' (2) = -7/9

f ''(x) = 14/(x + 1)³   ==>   f '' (2) = 14/27

f '''(x) = -42/(x + 1)⁴   ==>   f ''' (2) = -14/27

Then the Taylor series of f(x) about a = 2 is

7/3 + 1/1! (-7/9) (x - 2) + 1/2! (14/27) (x - 2)² + 1/3! (-14/27) (x - 2)³

= 7/3 - 7/9 (x - 2) + 7/27 (x - 2)² - 7/81 (x - 2)³

Use the drop-down menus to select answer.
Use the fraction bars and the expression provided to answer the questions.

Answers

Answer:

loser you called me a bad word so now I'm taking points

Step-by-step explanation:

given f(x)=2x-4 and g(x)=x213, determine gf[x]]​

Answers

Step-by-step explanation:

you have to substitute the function g(x) where there's x in the function f(x)

gf(x)=2(x213)-4

if that's x two thirteen then you can multiply the 2 outside the brackets by it

giving you a final answer of

gf(x)=426x-4

hope it helps and sorry if am wrong

Find the length of BC
A. 6.81
B. 7.64
C. 13.37
D. 29.44

Answers

Answer:

13.37 = BC

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = opp / hyp

cos 27 = BC / 15

15 cos 27 = BC

13.36509 = BC

Rounding to the nearest hundredth

13.37 = BC

write your answer in simplest radical form​

Answers

Answer:

3 =f

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp/ adj

tan 60 = f/ sqrt(3)

sqrt(3) tan 60 = f

sqrt(3) * sqrt(3) = f

3 =f

Add O used 6 cups of whole wheat flour and eggs we flower and ax cups of white flour in the recipe what is the equation that can be used to find the value of Y the total amount of flour that adult used in the recipe and what are the constraints and the values of X and Y

Answers

Answer:

6x+y

Step-by-step explanation:

use elimination to solve the system for 4x + 7 y equals -14 + 8 x + 5 y equals 8 for x​

Answers

9514 1404 393

Answer:

  (x, y) = (3.5, -4)

Step-by-step explanation:

Elimination is easiest if one of the coefficients of a variable is a multiple of the other coefficient of the variable. Here, we have x-coefficients of 4 and 8, so it will be easiest to eliminate x.

Subtract the second equation from 2 times the first.

  2(4x +7y) -(8x +5y) = 2(-14) -(8)

  9y = -36 . . . . . simplify

  y = -4 . . . . . . . divide by 9

  4x +7(-4) = -14 . . . . substitute for y in the first equation

  4x = 14 . . . . . . . add 28

  x = 3.5 . . . . divide by 4

The solution is (x, y) = (3.5, -4).

AVX Home Entertainment Inc recently began a "no-hassles" return policy. A sample of 505 customers who recently returned items showed 320 thought the policy was fair, 150 thought it took too long to complete the transaction, and the rest had no opinion. On the basis of this information, make an inference about customer reaction to the new policy. (Round your answers to 1 decimal place.)
Customer reaction Percent
Fair %
Too long %
No opinion %

Answers

Answer:

[tex]Fair = 63.4\%[/tex]

[tex]Too\ Long = 29.7\%[/tex]

[tex]No\ Opinion =6.9\%[/tex]

Step-by-step explanation:

Given

[tex]Total=505[/tex] --- customers

[tex]Fair = 320[/tex]

[tex]Too\ Long = 150[/tex]

Required

Complete the table

To complete the table, we simply divide each value by the total number of customers.

So, we have:

[tex]Fair = 320[/tex]

[tex]Fair = \frac{320}{505}[/tex]

[tex]Fair = 0.634[/tex]

Express as percentage

[tex]Fair = 0.634*100\%[/tex]

[tex]Fair = 63.4\%[/tex]

[tex]Too\ Long = 150[/tex]

[tex]Too\ Long = \frac{150}{505}[/tex]

[tex]Too\ Long = 0.297[/tex]

Express as percentage

[tex]Too\ Long = 0.297*100\%[/tex]

[tex]Too\ Long = 29.7\%[/tex]

For the last set, the percentage is calculated using:

[tex]No\ Opinion + Fair + Too\ Long = 100\%[/tex]

So, we have:

[tex]No\ Opinion + 63.4\% + 29.7\% = 100\%[/tex]

[tex]No\ Opinion + 93.1\% = 100\%[/tex]

Collect like terms

[tex]No\ Opinion =- 93.1\% + 100\%[/tex]

[tex]No\ Opinion =6.9\%[/tex]

Please help out really need it !!

Answers

Answer:

use the area formula

Step-by-step explanation:

Answer:

rounded to the nearest tenth i think its 40

The figures to the right are similar. Compare the first figure to the second. Give the ratio of the perimeters and the ratio of the areas
(integer or a simplified fraction)

Thank you!​

Answers

9514 1404 393

Answer:

perimeter: 3 : 4area: 9 : 16

Step-by-step explanation:

The perimeter ratio smaller : larger is the same as the side length ratio.

  18 : 24 = 3 : 4 . . . smaller : larger perimeter ratio

The area ratio is the square of this.

  3^2 : 4^2 = 9 : 16 . . . smaller : larger area ratio

a yogurt shop offers 7 different flavors of frozen yogurt and 11 different toppings. How many choices are possible for a single serving of frozen yogurt with one topping

Answers

answer: 77

Step-by-step explanation:

7×11=77

sorry if I'm wrong

Answer:

fijatebie nl aperguntaa

Step-by-step explanation:

Find the measure of the missing angles.
WILL GIVE BRAINLIEST

Answers

Answer:

<d = 90

<e = 46  

<f = 134

Step-by-step explanation:

<d = 90 since it forms a straight line with a 90 degree angle

<e = 46  since they are vertical angles and vertical angles are equal

<f = 134  since it is a linear pair with 46 ( they add to 180)  f+46 = 180

              f = 180-46    f =

[tex]{\footnotesize{\bold{\textbf{\textsf{{\fcolorbox{brown}{gold}{~Brainliest~answer}}}}}}}[/tex]

See this attachment

A quality control inspector has drawn a sample of 18 light bulbs from a recent production lot. If the number of defective bulbs is 1 or more, the lot fails inspection. Suppose 30% of the bulbs in the lot are defective.

Required:
What is the probability that the lot will pass inspection?

Answers

Answer:

0.0016 = 0.16% probability that the lot will pass inspection.

Step-by-step explanation:

For each bulb, there are only two possible outcomes. Either it is defective, or it is not. The probability of a bulb being defective is independent of any other bulb, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Sample of 18 light bulbs

This means that [tex]n = 18[/tex]

30% of the bulbs in the lot are defective.

This means that [tex]p = 0.3[/tex]

What is the probability that the lot will pass inspection?

It will pass inspection if there are no defective bulbs, that is, we have to find P(X = 0). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{18,0}.(0.3)^{0}.(0.7)^{18} = 0.0016[/tex]

0.0016 = 0.16% probability that the lot will pass inspection.

d) A product contains three lasers, and the product fails if any of the lasers fails. Assume the lasers fail independently. What should the mean life equal for 99% of the products to exceed 10000 hours before failure

Answers

Solution :

Let the probability laser works = p

The probability that the system works = [tex]$P(\text{all three component works}) = p^3 $[/tex]

                                                                                                                   = 0.99

Therefore, p = 0.9967

Now for the above probability critical z = -2.72

Hence, the mean life is equal to = [tex]10,000 + 2.72 \times 600[/tex]

                                                     = [tex]10,000+1632[/tex]

                                                     [tex]=11,632[/tex]

How many of 320 million Americans would you predict wear contact lens

Answers

Answer:

I think 40 - 60 Million Americans would wear contact lenses.

Your calculator is showing a result of 248.592.
What is this to the nearest whole number?

Answers

the nearest whole is 200.600
200.600 should be the nearest whole

If an orange seller bought 5 dozen oranges at the rate of tk.60 per four and sold them at the rate of tk50 per four,how much did he lose

Answers

Answer:

tk 30

Step-by-step explanation:

5 dozen = 5 * 12 = 60 oranges

12/4 = 3

total cost = 60 * 3 = tk.180

total sell = 50 * 3 = tk 150

total lose = 180 - 150 = tk 30

My flvs teacher said that she was asked to hold off on grading my assignment. She will give me a call back when when gets more information. Anyone have the same problem?

Answers

Answer:

yeah, teachers kinda suck

Suppose you deposit $500 in a savings account where the interest earned is compounded
continuously at a rate of 10%. How many years will it take the balance in the account to reach
$8000 (round your answer to the nearest year)?

Answers

14 years after rounding to the nearest year

Salma invested $8000 in a fund for 6 years and was paid simple interest. The total interest that she received on the investment was $1400. As a percentage, what was the annual interest rate of her investment?

Answers

9514 1404 393

Answer:

  about 2.917%

Step-by-step explanation:

The simple interest formula can be used. Fill in the known values and solve for the unknown.

  I = Prt . . . . principal P invested at rate r for t years

  1400 = 8000(r)(6)

  r = 1400/48000 = 7/240 = 0.0291666...

Salma's interest rate was about 2.917% per year.

Find x please explanation need it

Answers

Cos 19 = Adjacent/hypotenuse
(Cos 19)(21) = 19.9

Order these in the correct order fanks

Answers

Answer:

0.05, 8%, 15/100, 3/10, 0.7

Step-by-step explanation:

so they are 5%, 8%, 15%, 30%, 70%

Rationalize the denominator and simplify

Answers

Answer:

x² - √3x / x² - 3

Step-by-step explanation:

To Do :-

To rationalize the denominator .

Solution :-

We need to rationalize ,

x/ x + √3

Multiply numerator and denominator by x-√3 :-

x( x - √3 ) / ( x +√3)( x -√3) x² - √3x / (x)² - (√3)² x² - √3x / x² - 3
Other Questions
6/5 times 17/18 in lowest terms The number of calls received by an office on Monday morning between 8:00 AM and 9:00 AM has a mean of 5. Calculate the probability of getting at least 4 calls between eight and nine in the morning. write down the names the personalities who were the part of freedom of pakistan I am writing to apply for the customer service representative position that was advertised on your company's website. What makes the style of this effective? What role did teenagers play during the Holocaust? Minimum of 5 sentences. How to solve this truth table ( p-->q) v qp qT TT FF TF F Doubling the diameter of a solid, cylindrical wire doubles its strength in tension. True False Cleghorn Corporation produces and sells a single product. Data concerning that product appear below: Selling price per unit $160.00 Variable expense per unit $70.40 Fixed expense per month $153,216 Required:Determine the monthly break-even in total dollar sales. a type of payment model in which the patient pays a monthly or annual fee Write an equation of the line through each pair of points in slope-intercept form. a( 3,2) and (3,4) b(3,2)and (4,5)Answer and I will give you brainiliest Porfa es para un examen xD Which word signals a cause?O SOO thenO sinceOtherefore What is produced in abundance by pioneer species?a) plantsb) conesc) seedsd) wet habitats Which graph shows data that would allow the most accurate prediction for the number of water bottles a vendor sells based on the daily high temperature?Graph ADaily High Temperatures and Bottled Water SalesOn a graph, points are scattered all over the graph.Graph BDaily High Temperatures and Bottled Water Sales On a graph, points are scattered all over the graph.Graph CDaily High Temperatures and Bottled Water SalesOn a graph, points are grouped together and form a line with positive slope. Graph DDaily High Temperatures and Bottled Water SalesOn a graph, points are grouped together and increase.PLS HELP ILL GIVE BRAINLIEST FAST WILL MAKE BRAINLIEST Fill in the blank below with the word that best completes the sentence.Natural selection leads to____a process of change in a population over time. in what way does abstract expressionism actually work against its environment In a certain town, 22% of voters favor the construction of a new hospital. For groups of 21 voters, find the variance for the number who did not favor the new hospital. a. 1.9 voters b. 4.6 voters c. none of the given answers is correct d. 3.6 voters e. 13 voters Consider the reaction C4H10O + NaBr + H2SO4 C4H9Br + NaHSO4 + H2O. If 45.0 g of C4H10O reacts with 67.1 g of NaBr and 97.0 g of H2SO4to yield 60.0 g of C4H9Br, calculate the percent yield of the reaction. x=cos(2t), y=sin(2t) find a rectangular coordinate equation for the curve by eliminating the parameter PLS HELP 10 POINTS!!!Identify the term whose coefficient is -12 in the expression:98x 12xy2 - 15xy2