1) Aladder is placed against the wall of a building such that the bottom of the ladder is 3 ft from the bottom of the wall. If the ladder forms a 14 degree angle with the building, how high up the wall does the ladder reach?​

Answers

Answer 1

Answer:

0.75 feet

Step-by-step explanation:

Let's picture a right triangle, where :

AB = distance b/w bottom of ladder and bottom of wall = 3 feetAC = length of ladder [what we need to find!]BC = distance b/w top of building and bottom of ladder

Let the height of the ladder be x.

Then, taking the ratio b/w the adjacent and opposite sides...⇒ tan 14° = 0.249⇒ tan 14° = x/3⇒ x/3 = 0.249⇒ x = 0.249 x 3⇒ x = 0.747 ≅ 0.75 feet
Answer 2

Answer:

0.748 ft (nearest thousandth)

Step-by-step explanation:

Use the tan trig ratio:

[tex]\tan(\theta)=\dfrac{O}{A}[/tex]

where:

[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angle

Given:

[tex]\theta[/tex] = 14°O = xA = 3 ft

[tex]\implies \tan(14)=\dfrac{x}{3}[/tex]

[tex]\implies x=3\tan(14)[/tex]

[tex]\implies x=0.7479840085...[/tex]

Therefore, the ladder reaches up the wall 0.748 ft (nearest thousandth)


Related Questions

For a 12-month period, the numbers of inches of snow per month in Chicago
were:
11, 10, 6, 1,0,0,0,0,0, 1, 2, 9
What is the range of the data values?
O A. 6.
B. 1
C. 11
D. 10

Answers

Answer:

C. 11

Step-by-step explanation:

Calculating range is subtracting the highest data value(11) from the lowest data value(0)

11 - 0 = 11

The function P(x)=2x+1 is dilated by the function I(x)=1/2P(x). Which function rule represents I(x)?

Answers

We will see that we can write the function I(x) as:

I(x) = x + 1/2.

How to get the function I(x)?

We know that I(x) is a vertical dilation of scale factor 1/2 of P(x), where:

P(x) = 2x + 1.

The vertical dilation will be written as:

I(x) = (1/2)*P(x).

If we replace P(x) by the actual function, we will get:

I(x) = (1/2)*(2x + 1) = x + 1/2.

Then we can conclude that the function I(x) is:

I(x) = x + 1/2.

If you want to learn more about dilations:

https://brainly.com/question/3457976

#SPJ1

Answer:

I(x)=x+1

i got it right on a quiz

Tony bought a printer on sale for 45. The original price was 60 . What is the percent decrease of the price of the load ?

Answers

Answer:

25%

Step-by-step explanation:

STEP 1:

Find the difference between the two values

e.g  60-45=15

STEP 2

Divide the difference by the original value

e.g  15/60=1/4

STEP 3

Convert 1/4 into a percentage

e.g  1/4=0.25=25%

Question 7 of 10
Which situation involves a conditional probability?
O A. The probability that you make a second free throw given that you
made the first free throw
B. The probability that you are given a book for your birthday
O C. The probability that you make two free throws in basketball
D. The probability that you roll a 6 on a number cube
SUBMIT

Answers

A) The probability that you make a second free throw given that you made the first free throw

Please explain this to me step by step. Thanks!

Answers

Answer:

Step-by-step explanation:

14) Amount in Harper's school lunch account = $ 75

Cos of one meal = $ 3.25

Cost of 'm' meals = 3.25 * m = 3.25m

Balance amount in Harper's account after getting 'm' meals = $ 19.75

Total amount - Cost of 'm' meals = 19.75

      75 - 3.25m = 19.75

         To find the value of 'm', isolate m. To isolare m subtract 75 from both sides

             -3.25m = 19.75 - 75

             -3.25m  = -55.25

Now divide both sides by (-3.25)

                     m = -55.25/(-3.25)

m = 17

15) Starting height = 24 ft

Height after t seconds = 4.5*t = 4.5t

To see the river, the drone should reach the height atleast 330 ft above the ground. ⇒ It should be at the height greater than or equal to 330 ft

Initial height + height after 't' seconds ≥ 330

24 +  4.5t ≥ 330

Subtract 24 from both sides

          4.5t ≥ 330 - 24

          4.5t ≥ 306

Divide both sides by 4.5

    t ≥ 306/4.5

     t ≥ 68

He will be able to see the river from 68 seconds ( 1 minute 8 seconds)  and above.

No, Imani will not be able to the river after the drone has been raising  for one minute. At 1 minute 8 seconds Imani will start seeing the river. So at one minute, the drone will not have reached the required height .

pls help T-T
i need a solution too

Answers

Answer:

I do not know it very well

Step-by-step explanation:

80

Answer:

  b. 60°

Step-by-step explanation:

The exterior angles of a convex polygon total 360°. When the polygon is a regular hexagon, there are 6 congruent exterior angles.

__

Each exterior angle has a measure of ...

  x° = 360°/6 = 60°

What is the measure of arc JK?

Answers

Answer:

AS 37=1/2 (45+x)

74=45+x

74-45=x

29=x

or

x=29

ANSWER

ANS= B.29

What is 10+10-4x3=??
I will give a free brainliest to the first person to respond to this question :)

Answers

Answer:

8

Step-by-step explanation:

PEMDAS

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

[tex]10 + 10 - 4 \times 3 \\ 4 \times 3 = 12 \\ 10 + 10 - 12 \\ 10 + 10 = 20 \\ 20 - 12 = 8[/tex]

Answer:

8

Step-by-step explanation:

4x3 first = 12

then just do left to right

10+10=20

20-12=8

Joseph baked cookies for his french class's end-of-year party. there are 28 people in joseph's french class including joseph and his teacher. joseph baked enough cookies for everyone to get 3 cookies each. how many cookies did joseph bake?

Answers

Answer:

84 cookies

Step-by-step explanation:

28 x 3 = 84

Joseph baked 84 cookies.

The train was scheduled to arrive at 5:10 p.m. However٫it was delayed for 25 minutes. What time was it when the train arrived?

Answers

Answer:
4:45

if the train was schedules to arrive at 5:10, you must subtract 25 minutes (the delay) to get your answer: 4:45

Answer:

5:35 p.m.

Step-by-step explanation: Just add 25 to 5:10

What is a base of 3 with an exponent of-3??

Answers

Answer:

The answer is 1/27

Step-by-step explanation:

3^-3 can be written as 1/3^3 and 3^3 = 3x3x3= 27

Therefore, the answer is 1/27.

Answer:

27

If we multiply the number

=3*3*3

= 1/3 ^ -3

= 1/27

If 15% of sum is Rs 45, find the sum.

Answers

answer : the sum so obtained is rupees 300

How do we do this? The sub gave us the wrong work and isn’t explaining it! Help please!!!

Answers

Answer:

1) 18b - 3c - 10

2) [tex]1\frac{3}{4}[/tex]g + 7

3) 0.3y

4) -4n - 5

Step-by-step explanation:

1) 16b + 5c - 10 - 8c + 2b

like terms: 16b + 2b = 18b

like terms: 5c - 8c = -3c

like terms: -10

simplified: 18b - 3c - 10

____________

2) 1/2g + 2g - 3/4 g + 7

like terms: 1/2g + 2g - 3/4g

2 1/2 - 3/4

improper fraction > 5/2 > same denom > 10/4

10/4 - 3/4 = 7/4 > mixed number> 1 3/4g

like terms: +7

simplified: 1 3/4g + 7

____________

3) -0.9y + 4.4y - 3.2y

like terms:  -0.9y + 4.4y - 3.2y

simplified: 0.3y

____________

4) 4 - 8n + 7n - 3n - 9

like terms: -8n + 7n - 3n = -4n

like terms: 4 - 9 = -5

simplified: -4n - 5

____________

please explain thourougly thanks!

Answers

Answer:

There are 2 x-intercepts

Step-by-step explanation:

The equation has 2 x variables, so the graph would have 2 x -intercepts.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's use the discriminant method, we have to find discriminant of the given quadratic function, if discriminant is greater than 0, then it has two intercepts, if it is equal to 0, then it has 1 intercepts and if it is smaller than 0, then it has no x intercepts.

[tex]\qquad \sf  \dashrightarrow \:D = {b}^{2} - 4ac[/tex]

where, a, b and c are coefficients of x², x and constant term. D = discriminant

[tex]\qquad \sf  \dashrightarrow \:D = {( - 30)}^{2} - 4(22 \times 1)[/tex]

[tex]\qquad \sf  \dashrightarrow \:D = 900 - 4(22 )[/tex]

[tex]\qquad \sf  \dashrightarrow \:D = 900 - 88[/tex]

[tex]\qquad \sf  \dashrightarrow \:D = 812[/tex]

Discriminant is greater than 0, hence it has two x - intercepts.

IMAGE IS DOWN BELOW
SOMEONE PLEASE HELP ME WITH THIS
ILL GIVE YOU BRAINLIST ANSWER

Answers

Answer:

13.0 cm

Step-by-step explanation:

We proceed by Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex]

We are given a = 1 and b = 13

[tex]1^2 +13^2 =c^2\\c=\sqrt{170}\\[/tex]

c ≈ 13.0

This is the answer rounded to the nearest tenth.

13.0
Use the Pythagorean theorem
Round to the nearest tenth

please help, will give brainliest for accurate answer or explanation!
A high school basketball coach was searching through records and found that the average height of high school basketball players is 73 inches with a standard deviation of 2.1 inches. The distribution of heights is an approximately normal distribution.

a. The typical basketball team usually has around 16 players. Describe the sampling distribution for samples of size n = 16.

b. Is it surprising to find a random sample of size n = 4 to have an average height over 75 inches? Give appropriate statistical evidence

c. Suppose the population described in the problem was clearly NOT normal. Could the question in part (b) still be answered? Explain why it could still be answered. If not, explain why.​

Answers

Answer:

The heights of basketball players have an approximate normal distribution with mean, μ = 79 inches and a standard deviation, σ = 3.89 inches.

Step-by-step explanation:

is 47°, what is the measure of Z3?


Ο Α. 1536
O B. 43
O C. 133
O D. 47°

Answers

Answer:

<3=C. 133

Step-by-step explanation:

Well, angle 2 and angle 3 are corrisponding angles, meaning that they are on the same line, and a line is always equal to 180, and 47 degrees is a part of that line, and you need the other part of that line for angle 3, so you simply subtract 180-47=133 degrees

Select the correct answer. a cylinder has a radius of 10 inches and a height of 6 inches. about what is its volume in cubic inches? use 3.14 for π. a. 60 cu. in. b. 188.4 cu. in. c. 628 cu. in. d. 1,884 cu. in.

Answers

Answer:

Its d

Step-by-step explanation:

because you square 10 and you get 100 and you have to multiply 6 with 100 which is 600 and then you multiply the 3.14 which gives you 1,884

PLEASE MARK AS BRAINLIEST

Kelley has 18 hours of work to do on her science fair project. She has 2 weeks to complete her project. How many hours does she need to work on her project each week to complete it on time?

Answers

Answer:

9

Step-by-step explanation:

Brainly patrol deleted my answer and i have no idea why but-

She has 2 weeks, so 18/2 is 9. 9 hours each week

what is the answer to this question?

Answers

Answer:

2.3 inches

Step-by-step explanation:

v = lwh (volume equals length times width times height)

5.52 = 2.4 x 1 x d
multiply l and w, which is 2.4 x 1

5.52 = 2.4 x d
divide 5.52 by 2.4

2.3 = d

Answer: 2.12

Step-by-step explanation: Okay, you first add 2.4+1, which is obviously 3.4.

Then you subtract 5.52 by 3.4.

You should get 2.12.

I hope I helped. <3

Out of 40 girls, 10 girls can cook
well. What fraction of girls can
cook well?

Answers

Answer:

1/4

Step-by-step explanation:

10 girls can cook well out of a total of 40 girls.

this means 10/40 girls can cook well, simplified fraction by dividing top and bottom by 10, 1/4 girls can cook well

Answer:

1/4

Step-by-step explanation:

When you simplify 10/40 you get 1/4

Can you answer this, as it is greatly appreciated

Answers

Answer:

See below

Step-by-step explanation:

Let the amount of pecans is x pounds and cashew is y pounds.

The inequalities according to the question are:

x + y ≥ 36x + 8y ≤ 24

The solution of the system is attached as a graph below.

Possible combinations are:

(2, 1) or (1, 2)

Answer:

3 pounds of pecans and 0.5 pound of cashews

2.5 pounds of pecans and 1 pound of cashews

Step-by-step explanation:

Given information:

Malik can spend no more than $24 to buy pecans and cashews.Malik wants to buy at least 3 pounds of nuts.Cost of pecans = $6 per poundCost of cashews = $8 per pound

Define the variables:

Let x = number of pounds of pecans Malik can buy

Let y = number of pounds of cashews Malik can buy

Create a system of inequalities from the given information:

6x + 8y ≤ 24x + y ≥ 3

Graph the inequalities (see attached)

The possible solutions are any points enclosed by the shaded area where x > 0 and y > 0.

Therefore, two possible combinations are:

3 pounds of pecans and 0.5 pound of cashews2.5 pounds of pecans and 1 pound of cashews

CAN SOMEONE HELP ME PLSSSSSS I ASKED THIS LIKE 3 TIMES BUT NO ONE ANSWERED.THABKYOU!
Determine the area of the park that is not covered by the wading pool.

Answers

Answer:

19.63 m^2

Step-by-step explanation:

This is an Area=pi r^2 equation so it would be 3.14*2.5^2

A child runs 200 meters in 40 seconds. Calculate the average speed of the child in m/s

Answers

The child runs 5 meters per second

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.

Suppose a city with population 100,000 has been growing at a rate of 5% per year. If this rate​ continues, find the population of this city in 21 years.

Answers

Answer:

205,000

Step-by-step explanation:

(100,000*0.05) *21 +100,000

Hi. What's 8.563 + 4.8292?

Answers

Answer:

 8.563 + 4.8292 = 13.3922

Step-by-step explanation:

Remember to line up the decimal points and put zeros in any right-hand columns that don't have numbers if necessary (ex: 8.5630 + 4.8292).

Hope this helps!!

Which of the following points is in the solution set of y < x^2 - 2x - 8?
(4, 0)
(-2, -1)
(0, -2)

Answers

Answer:

(4,0)

Step-by-step explanation:

Out of the given answers (4,0) would be correct

Evaluate -2x^2-4x+3 when x=-2

Answers

Answer:

  3

Step-by-step explanation:

A polynomial is sometimes easier to evaluate if it is first written in Horner form:

  -2x^2 -4x +3 = (-2x -4)x +3

For x = -2, this is ...

  (-2(-2) -4)(-2) +3 = 0(-2) +3 = 3

The value is 3 when x = -2.

I NEED HELP ASAP AND WILL GIVE BRAINLIEST

Rachel had a total of 854 local and foreign stamps. 3/7 of the stamps were foreign stamps. After her father gave her more foreign stamps, the fraction of the stamps that were foreign stamps became 2/3. How many foreign stamps did Rachel’s father give her?

Answers

Answer:

27 other stamps

Step-by-step explanation:

if you take the 88 percent and turn it into a decimal you get .88 Than you multiply .88 times the 225 stamps and that gives you 198 stamps. But that is not the answer because that is the number for foreign stamps and its asking how many other stamps are there. so you would do 225-198 stamps and get the left over 27 stamps!

27 other stamps

hope this helps
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