A ladder needs to reach a second-story window that is 15 feet above the ground and make an angle with the ground of 71°. How far out from the building does the base of the ladder need to be positioned? Round your answer to the nearest tenth.


The base of the ladder needs to be ______ feet away from the wall.

Answers

Answer 1

Answer:

5.2 feet

Step-by-step explanation:

It helps if you can make a drawing.

You are looking for the adjacent side of the 71° angle in a right triangle and 15 is the opposite side of the angle.

Let x = the distance from the building to the base of the ladder

Tan 71 = 15/x

xtan71 = 15

x = 15/tan 71 = 5.2 feet


Related Questions

The temperature at 12 am was 44 degrees. The temperature dropped steadily for the next 8 hours to reach the daytime low of 20 degrees. Create an equation for the relationship between temperature and the time.

Answers

Answer:

20=-8x+44

Step-by-step explanation:

hope this helps and have a great day

THE ANSWER IS NOT B
If you can’t see the picture plz zoom in.
The box plots show Theo's math scores and language arts scores.

About 50% of Theo's scores are in which range for each subject?
60 to 85 for math: 60 to 80 for language arts

55 to 90 for math: 50 to 90 for language arts

55 to 60 for math: 50 to 60 for language arts

85 to 90 for math 80 to 90 for language arts

Answers

maybe the answer is A- 60 to 85 for math: 60 to 80 for language arts

Answer:

B

Step-by-step explanation:

Please pls help me :(

Answers

Im on that to, maybe i can help you !! :)

farmer johnson is planting a garden in the park. he has a square garden bed that is 21 feet long. He divides the bed into squares for vegetables. The squares are 3 by 3 feet long.How many different vegetable squares could he have?

Answers

Answer:

3

Step-by-step explanation:

3x3=9

21/9= 3

Simplify( (-4/5)^-2)^2

Answers

( (-⁴/₅)-² )²

=
( (⁵/₄)² )²

= ( (5²/4²) )²

= (²⁵/₁₆)²

25²
-------
16²

=
625
------- = 2.44141
256

find the measure of side b

Answers

Answer:

227in

Step-by-step explanation:

260 * cos(29 degrees) = 227.401

Leila needs to buy plastic spoons. Brand A has a box of 25 spoons for $1.97. Brand B has a box of 48 spoons for $2.98. Find the unit price for each brand. Then state which brand is the better buy based on the unit price. Round your answers to the nearest cent.

Answers

Answer:

The unit price is the price of a single unit.

To find it, you need to find the quotient between the total price and the number of objects you get for that price.

Brand A:

You get 25 spoons for $1.97

Then the unit price is:

unit price of brand A = $1.97/25 = $0.079

Brand B:

You get 48 spoons for $2.98

Then the unit price is:

unit price of brand B: $2.98/48 = $0.062

Here we can see that the unit price for brand B is smaller, then the better buy is brand B.

I’m studying and I have trouble with this problem and I need an explanation. Please help me! Thank you

Answers

Answer:

Step-by-step explanation:

Im going to assume they want x+108.

You have 2 expressions sitting on a line, so when added to each other they must = 180

So add and set up an equality

x+108+x+78=180

Combine like terms

2x+186=180

Solve

2x+186=180

    -180    -180

2x+6=0

-6       -6

2x=-6

________

2

x=-3

Substitute X for -3

-3+108=

105.  

An artist can create 4 pieces of pottery in 2 hrs. What is the artists unit rate in minutes without units?

Answers

Answer:

2 piece per hour

Step-by-step explanation:

Given data

Quantity= 4 pieces

time= 2 hours

Required

The unit rate

rate= quantity/time

rate= 4/2

rate= 2 piece per hour

Simplify
2×3^x - 3^x-1 / 18^x × 2^-x​

Answers

Step-by-step explanation:

Collect like terms:                       6∧x - 3∧x - 1/ 18∧x · 2

                                                    3∧x - 1/ 18∧x · 2

Calculate the product:                3∧x - 2/ 18∧x

Find common denominator:       54∧x/ 18∧x - 2/ 18∧x =

                                                     54∧x - 2/ 18∧x

Write an equation in slope-intercept form of the line that passes through the given points. 0,4 4,2

Answers

First, find the slope: m = Δy/Δx = (2-4)/(4-0) = -0.5

The "intercept" in the slope-intercept form of a line is the y-intercept. And at the y-intercept, x = 0. Conveniently, one of our points has an x = 0, i.e., the point (0,4). So, our equation would be y = -0.5x + 4.

If you wanted to double-check, you could use the point (4,2) to find the point-slope equation of the line and see if it matches up with the slope-intercept form above. Given a slope of -0.5 and a point (4,2), our point-slope equation would be y - 2 = -0.5(x - 4). If we expand this, we get y - 2 = -0.5x + 2. Solving for y, we obtain y = -0.5x + 4.

Thus, y = -0.5x + 4 would be our equation.

2. On the Internet, you find an Latin quiz with 10 matching vocabulary questions. Your 3 year old niece randomly matches the
words with the definitions. What is the probability that she makes 100 on the quiz?
Does the order matter? Yes -
This is a permutation
Will all of the words be matched? Yes -
Can we use factorials? Yes -
How many different ways can the answer key be arranged?
P(all correct)
(Enter your answer as a reduced fraction using/ for the fraction bar.)

Answers

Answer:

Assume that there is a Latin quiz with 10 matching vocabulary questions, and your niece try to match them randomly. Then, the probability that she gets the first item right is

1

10

since there is only one correct answer for this item out of 10 options. Now, the probability that she gets the second item right is

1

9

since there is only one correct option and there is only 9 options left to choose from. So, in a similar fashion, the probability that she will get the third item correct is

1

8

, the fourth item correct is

1

7

and so on. Therefore, the probability that she will match them all correctly (getting a 100 on the quiz) is equal to

1

10

1

9

1

2

1

1

=

1

10

!

=

1

3628800

VERY EASY !!!!!!!!! ASAP

Answers

Answer:

onkine survey tool i think

Answer:

cookies

Step-by-step explanation:

r
3. Identify the vertical intercept of the graph. What does
it tell you about the situation?

Answers

Answer:

Vertical intercept of a graph

The vertical intercept is the point where the graph of a line crosses the vertical axis. The vertical intercept of this line is or just -6.

Step-by-step explanation:

btw so hard question mate, enjoy the answer

Which letter represents 1/8 on the following number line ?

Answers

Answer:

the answer is p

Step-by-step explanation:

The answer is defiantly p

is this correct? 3^10 over 3^7 = 3^3

Answers

Answer:

Yes, you are correct

Step-by-step explanation:

Answer: Yes it is.

Step-by-step explanation:

Can you answer the Situation For 50 points
Problem Situation: Jimmy is reading a book for school that is 175 pages long. So far, He has read 50 pages. She can read 25 pages per hour. How many hours will it take her to finish the remainder of the book?

Which answer choice best represents the unknown quantity in this problem
A: h, the number of hours it will take to finish the book
B: p, the number of pages she can read per hour
C: b , the total number of pages in the book
D: a, the number of pages she has already read

Answers

Answer:

a

Step-by-step explanation:

Answer is A Explanation:

R1 V
Х
Х
Complete the following table, by using x for no and ✓ for yes:
N No. Z
Q 04 R
e.g.: 0
✓ ✓ ✓
-6 X X
0,12543
V2
1
4
22
7
V-8
5

0,999....​

Answers

Answer:

✓ ✓ ✓

-6 X X✓ ✓ ✓

-6 X X

PLEASE HELP

Question 1 options:
What is the area of a circle with a diameter of 18.2 cm?

Use 3.14 for ∏ and round your final answer to the nearest hundredth.

The area is ___ square cm.

Answers

Answer:

28.574

Step-by-step explanation:

18.2 x 3.14 then divied by 2

i think the area is 260.16 sorry if i’m wrong bestie

Solve the equation. Graph the solution on a number line. (You don’t have to graph it, I just need the equation answer.)

5x = 20; x = ?

Answers

x=4

divide the 5 on both sides
5x=20
x=4

a class has eight boys and 12 girls. what is a ratio of boys to girls?​

Answers

Answer:

8:12

Step-by-step explanation:

Answer:

8:12

= 2:3

hope

this

helps

The sum of three consecutive odd numbers is 51. Find the numbers. Show your work and
indicate the property used to find each equivalent equation.

Answers

15,17,19 are all odd numbers and add to 51

ALGEBRAIC EXPRESSION, FACTORIZATION AND IDENTITIES... pls help me in this...​

Answers

Answer:

I solved question number 8.

a) p= 9

b) p = 17

I solved number 9 but I'm not sure about it

i) 119

ii) 14165

(C) Write an equation for the amount, a, that Maria makes as a function of the number of hours, h, that she
tutors. Keep in mind that Maria will make $0 for tutoring for 0 hours.

Answers

Answer:

yes

Step-by-step explanation:

yes

The length of a rectangle is 3 m longer than its width. If the perimeter of the rectangle is 26 m , find its area.

Answers

Answer:

40 m²

Step-by-step explanation:

First, find the perimeter. Using the perimeter formula, p = 2l + 2w, solve for the side lengths of the length and width.

Let w represent the width. The length can be represented by w + 3, since the length is 3 m longer than the width.

Plug in 26 as the perimeter, and plug in w and w + 3 for the width and length:

p = 2l + 2w

26 = 2(w + 3) + 2w

Simplify and solve for w:

26 = 2w + 6 + 2w

26 = 4w + 6

20 = 4w

5 = w

Find the length by adding 3 to this:

5 + 3

= 8

Now, find the area using the area formula, A = lw

Plug in the length and width:

A = lw

A = 8(5)

A = 40

So, the area of the rectangle is 40 m²

Is 16x2 - 16x + 4 a perfect square?

Answers

Answer:

Yes

Step-by-step explanation:

Use the completing the square method:

16(x^2-x)+4

=16((x-1/2)^2 - (1/2)^2)+4

=16((x-1/2)^2 - 1/4)+4

=16((x-1/2)^2) - 16/4 + 4

=16(x-1/2)^2

=4^2(x-1/2)^2

The product of two square is itself a square.

Tom made $450 selling CDs last month. That total increased to $513 this month. What was the percent increase? (pls answer)

Answers

Answer:

14%

Step-by-step explanation:

y = x + 2
y = -5/2x-5

Answers

{ y = x + 2
{ y = -5/2x - 5

x + 2 = -5/2x-5
x = -2

y = -2 + 2
y = 0

(x,y) = (-2,0)

——
Check for solution
{ 0 = -2 + 2
{ 0 = -5/2 (-2) - 5

{ 0=0
{ 0=0

4. Evaluate f(x) = - 9x + 8 at the given value. f(5)

Answers

Answer:

-37

Step-by-step explanation:

f(x) = - 9x + 8

f(5) = - 9*5 + 8 = -37

Answer: -37

Step-by-step explanation:

f(5) = -9x + 8

f(5) = -9(5) + 8

f(5) = -45 + 8

f(5) = -37

help! pleasee!!!!! GRAPH!!

Answers

Answer:

a is the answer

Step-by-step explanation:

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