A 12 ft. ladder is being placed against a 10 ft.
wall. At what angle of elevation should the
ladder be placed so that the top of the ladder
touches the top of the wall?

Answers

Answer 1

Answer:

Step-by-step explanation:

Height of wall = 10ft

Length of ladder = 12ft

Angle of elevation be x

Sin x = opp/hyp

Sin x = wall height/length of ladder

Sin x = 10/12

Sin x = 0.83

X = Sin-¹ (0.83)

X = 56.44°


Related Questions

somebody can help me with this problem p;lz i really really need help if you answer thius question you gonnna be the best person in the world

Answers

The length of FD = 0.76 feet.

Step-by-step explanation:

Given that in ΔDEF, the angle F measures 90° and the angle D measures 83° and EF=6.2 feet

To find the length of FD, let us use the tangent function. The tangent of an angle is the length of opposite side divided by the length of the adjacent side.

[tex]\tan \theta=\frac{o p p}{a d j}[/tex]

From the given data, θ=83°, [tex]o p p=6.2[/tex] and [tex]a d j=x[/tex]

Substituting these values in the tangent formula, we get,

[tex]\begin{array}{r}{\tan \theta=\frac{o p p}{a d j}} \\{\tan 83^{\circ}=\frac{6.2}{x}}\end{array}[/tex]

Using calculator, the value of [tex]\tan 83^{\circ}=8.14[/tex] and substituting and solving the equation, we get,

[tex]\begin{aligned}8.14 &=\frac{6.2}{x} \\x &=\frac{6.2}{8.14} \\x &=0.76\end{aligned}[/tex]

Thus, the length of FD = 0.76 feet.

Find the value (1.2) power 3

Answers

Answer:

1.728 is the correct answer

The graph shows the number of hours per day spent on social media by a group of teenagers and the number of hours per day spent exercising. A line of best fit for the data is shown.

A scatterplot is shown in the xy-plane. The horizontal axis is labeled as Social Media Hours Per Day and the vertical axis is labeled as Exercising Hours Per Day. The values on the horizontal axis range from 0 to 1.6 in increments of 0.2 and the values on the y-axis range from 0 to 2 in increments of 0.2. The line of best fit intersects the x-axis at a point just to the left of 1 decimal point 4 and y-axis at a point just below 1.1. Majority of the data points are concentrated between 0.3 and 0.6 on the horizontal axis and 0.6 and 0.9 on the vertical axis and two points are marked on the line.

Use the graph to determine how many hours a teenager would spend exercising in one day if they spent 0.25 hours on social media.
Use the graph to determine how many hours a teenager would spend exercising in one day if they spent 1.38 hours on social media.
Do you think the predictions from part (a) and part (b) are reliable? Explain your reasoning.​

Answers

a)Exercise hour per day is 0.903

b) Exercise hour per day is 0.01573

c) The predicted values are closer to given data points.

What line of best fit?

The line of best fit is a straight line that minimizes the sum of squared differences between observed and predicted values.

From the graph we can find the line equation.

Social media hours per day/1.4 + Exercise hour per day/1.1 = 1

a) If 0.25 hours were spent on social media per day.

0.25/1.4 + Exercise hour per day/1.1 = 1

Exercise hour per day = (1 - (0.25/1.4))*1.1

Exercise hour per day = 0.8215*1.1

= 0.903

b) Social media hours per day/1.4 + Exercise hour per day/1.1 = 1

Given that 1.38 hours were spent on social media

1.38/1.4 + Exercise hour per day/1.1 = 1

Exercise hour per day/1.1 = 1 -(1.38/1.4))

Exercise hour per day = 0.0143*1.1

= 0.01573

c) The predictions from a) and b) are correct because the line almost fits the data points. The line on the data point is minimum error. The line gives the estimated values not the actual values. The predicted values are closer to given data points.

Complete question

What is the length of a rectangle when the length of the rectangle is 2(x+1) meters and the perimeter is 60 meters

Answers

The width of a rectangle(b) = 2(14 - x)

Step-by-step explanation:

Given,

The length of a rectangle(l) = 2(x + 1) meters and  

The perimeter of a rectangle = 60 meters

To find, the width of a rectangle(b) = ?

We know that,

The perimeter of a rectangle = 2(l + b)

⇒  2(2(x + 1) + b) = 60

⇒  2(x + 1) + b =[tex]\dfrac{60}{2} =30[/tex]

⇒ b = 30 - 2(x + 1)

⇒ b = 30 - 2x - 2

⇒ b = 28 - 2x

⇒ b = 2(14 - x)

∴ The width of a rectangle(b) = 2(14 - x)

Hence, the width of a rectangle(b) = 2(14 - x)

What is the constant of proportionality in the equation y = 3x?
constant of proportionality

Answers

Answer:

Step-by-step explanation:

y = mx + b

in this form, the constant of proportionality is also known as the slope....and it can be found in the m position

y = 3x.....is actually y = 3x + 0....so the slope (constant of proportionality is gonna be 3

Answer:

the constant proportionality it gonna be 3

Step-by-step explanation:

the starting equation is y=mx+b

plug in the numbers and get your answer

my photo math said it is x = 0 lol

Rachel has 3 times as many roses as carnations. She has 12 fewer carnations than daisies. There are 15 daisies. How many flowers does Rachel have in all

Answers

Answer:

27 flowers

Step-by-step explanation:

Let

x ----> the number of roses

y ----> the number of carnations

z ----> the number of daisies

we know that

[tex]x=3y[/tex] ----> equation A

[tex]y=z-12[/tex] -----> equation B

[tex]z=15[/tex] -----> equation C

substitute the value of z in equation B

[tex]y=15-12=3[/tex]

substitute the value of y in equation A

[tex]x=3(3)=9[/tex]

so

Rachel have 9 roses, 3 carnations and 15 daisies

In total

9+3+15=27 flowers

Rachel has 15 daisies, 3 carnations, and 9 roses, giving her a total of 27 flowers.

Let's break down the information provided:

Rachel has 3 times as many roses as carnations.She has 12 fewer carnations than daisies.There are 15 daisies.

Step-by-Step Solution:

1. Start with the number of daisies: 15 daisies.

2. Rachel has 12 fewer carnations than daisies:
    15 daisies - 12 = 3 carnations.

3. Rachel has 3 times as many roses as carnations:
    3 carnations * 3 = 9 roses.

4. Add up all the flowers she has:
    15 daisies + 3 carnations + 9 roses = 27 flowers in total.

Therefore, Rachel has a total of 27 flowers.

(a) Write 389% as a decimal.
(b) Write 0.005 as a percentage.

Answers

Answer:

a)3.89 b)0.5%

Step-by-step explanation:

389%= 389/100

0.005*100%

=0.5%

3(x-2)=5x+8 ; solve for x

Answers

Answer:

see attached picture please

Answer:

3x² -- 5x -- 8

Step-by-step explanation:

For a polynomial of the form

a

x

2

+

b

x

+

c

, rewrite the middle term as a sum of two terms whose product is

a

c

=

3

8

=

24

and whose sum is

b

=

5

.

Tap for fewer steps...

Factor

5

out of

5

x

.

3

x

2

5

(

x

)

8

Rewrite

5

as

8

plus

3

3

x

2

+

(

8

+

3

)

x

8

Apply the distributive property.

3

x

2

8

x

+

3

x

8

Factor out the greatest common factor from each group.

x

(

3

x

8

)

+

1

(

3

x

8

)

Factor the polynomial by factoring out the greatest common factor,

3

x

8

.

(

3

x

8

)

(

x

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PLEASE! HELP ASAP! Which does not explain the effect of the author's use of dialogue?
A. It helps the reader understand what characters are thinking in the story.
B. It helps the reader understand the speaker's feelings.
C. It helps the reader understand the speaker's thoughts.
Or D. It helps the reader make guesses about what the speaker thinks.

Answers

Answer: D?

Step-by-step explanation:

A translation is shown on the grid below in which triangle A is the pre-image and triangle B is the image.
Which rule describes the x-coordinates in the translation?x+0
x+6
x-6
x+4

Answers

Answer:

x+6

Step-by-step explanation:

just took it on edge

x-6 is the rule which describes the x-coordinates in the translation  

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Graph transformation is the process by which a graph is modified to give a variation of the proceeding graph.

Horizontally translating a graph is equivalent to shifting the base graph left or right in the direction of the x-axis.

In the given graph B is the image and A is the preimage.

The image B is shifted to left by six units.

x-6 is the rule which describes the x-coordinates in the translation  

Hence,  x-6 is the rule which describes the x-coordinates in the translation  

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Can someone please help with this.

Answers

The points that represent the relationship are (2,4), (5,7), (7,9).

Step-by-step explanation:

1. It is given that Brent was always 2 meters in front of Joel.

2. In the first case, when Joel is at 2 meters, Brent will be 2 meters in front of that, i.e. at 2 meters + 2 meters = 4 meters. Hence, when Joel is at 2 meters distance from the school, Brent will be at 4 meters distance from the school. Hence, the point on the coordinate grid is (2,4) here.

3. Similarly, in the second case, when Joel is at 5 meters, Brent will be 2 meters in front of that, i.e. at 5 meters + 2 meters = 7 meters. Hence, the point on the coordinate grid is (5,7) here.

4. Similarly, in the third case, when Joel is at 7 meters, Brent will be 2 meters in front of that, i.e. at 7 meters + 2 meters = 9 meters.  Hence, the point on the coordinate grid is (7,9) here.

a number c increased 6 by is less than or equal to -26

Answers

Answer:

c ≤ - 32

Step-by-step explanation:

It will be less than or equal to - 26 if a number c is increased by 6.

Now, we have to solve the inequality for c.

The inequality is, c + 6 ≤ - 26

⇒ c + 6 - 6 ≤ - 26 - 6 {Subtracting 6 from both the sides}

c ≤ - 32

Therefore, the solution of the inequality is that c is less than or equal to - 32. (Answer)

Consecutive odd integers of 201

Answers

Question :

The sum of three consecutive odd integers is 201. Find the integers.

Answer:

The Integers are 65,67,69.

Step-by-step explanation:

Let x be any number. when it is multiplied by 2 it becomes an even number.

So, 2x is an even number. Now adding an odd number to 2x , it becomes an odd number

so

First odd number be 2x+1

Second  odd number be 2x+3

Third odd number be  2x+5

Now the sum of these three odd number gives 210,

That is

(2x+1) +(2x+3) +(2x+5) = 201

2x+1+2x+3+2x+5 =201

6x + 9 = 201

6x = 201- 9

6x = 192

[tex]x =\frac{192}{6}[/tex]

x = 32

Hence

The first odd number is  (2x+1) = (2(32)+1) = 64+1 =65

The second odd number is  (2x+3) = (2(32)+3) = 64+3 =67

The third  odd number is  (2x+1) = (2(32)+5) = 64+5 =69

The sum of 2 consecutive odd integers is 92. Find the numbers.
If x represents the smaller integer, then the larger integer is

Answers

Answer: If x is odd then x + 2 is going to be the next odd integer

Step-by-step explanation:

Set up the equation and solve.

x + x + 2 = 92 This is the equation. Collect like terms.

2x + 2 = 92 Subtract 2

2x = 90 divide by 2

x =45

x + 2 = 47

45 + 47 = 92.  

So x + 2 is the next odd number after x.

Answer:

x + 2

Step-by-step explanation:

Help me please I need to know the answer to this question in under an hour :-)

Answers

Answer:

7/15

Step-by-step explanation:

You can put in your graphing calculator if you have one

Answer:

Step-by-step explanation:

BRAINLIEST AND 50 PTS HURRY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Damian rides his bike 38 miles each week for 15 weeks.

How many total miles does he ride in 15 weeks?

Enter your answer in the box.

____ miles

Answers

Answer:

570 miles in 15 weeks

Step-by-step explanation:

trust me

Answer:

570

Step-by-step explanation:

because 38 miles x 15 weeks is 570 miles

please help me with these ​

Answers

(a) The volume of the swimming pool is 330 m³

(b) The surface area of the model swimming pool is 30.25 cm².

How to calculate the volume of the swimming pool?

(a) The volume of the swimming pool is calculated by applying the following formula as follows;

V = Ah

where;

A is the surface areah is the depth of the pool

V = 300 m² x 1.1 m

V = 330 m³

(b) The surface area of the model swimming pool is calculated by applying the following formula;

Assuming the model swimming pool is a square.

S.A = L²

S.A = 5.5 cm x 5.5 cm

S.A = 30.25 cm²

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If y = 2x2 – 4x, what is the value of y when x equals 5.
A.10
B.30
C.80
D.480

Answers

Answer:

The value of y in the given equation is B. 30.

Step-by-step explanation:

y = 2x² - 4x             x = 5

y = 2(5)² - 4(5)        Plug 5 in for x

y = 2(25) - 20         Square 5 and multiply 4 by 5

y = 50 - 20             Multiply 2 by 25

y = 30

Hope this helps,

A.W.E.S.W.A.N.

What is the width to the length?

Answers

Answer:

[tex]\frac{19}{44}[/tex]

Step-by-step explanation:

The ratio of width : length = [tex]\frac{57}{132}[/tex]

To simplify divide ( cancel ) the numerator/ denominator by 3

= [tex]\frac{19}{44}[/tex] ← in simplest form

Rachel has a rope that is 5 meters long . She cuts away a piece that is 1.32 meters long . How long is the remaining piece

Answers

3.68, just subtract five from one decimal thirty two!

Help giving brainliest

Answers

Answer:

i think 2m

Step-by-step explanation:

3 plus 3 is 6 minus 8

36(1/3)^n-1 first five term of the sequence

Answers

Answer:

Step-by-step explanation:

first term:  put n = 1

36(1/3)^n-1 = 36(1/3)^1-1 =12 - 1 = 11

2nd term:  put n = 2

36(1/3)^n-1 = 36(1/3)^2-1 = 19.784

3rd term:  put n = 3

36(1/3)^n-1 = 36(1/3)^3-1 = 0.3333

4th term:  put n = 4

36(1/3)^n-1 = 36(1/3)^4-1 = -0.5555

5th term:  put n = 5

36(1/3)^n-1 = 36(1/3)^5-1 =-0.85185

Write the following quadratic in standard form. Then identify a, b, and c.
y² - 7y + 6 = -6

Answers

Answer:

Therefore,

[tex]y^{2}-7y+12=0[/tex]       ....Standard form.

[tex]a=1\\b=-7\\c=12[/tex]    ......Numerical Coefficients.

Step-by-step explanation:

Given:

[tex]y^{2}-7y+6=-6[/tex]

To Find:

a ,b , c

Solution:

Quadratic:

A quadratic equation is an equation of the second degree.

Meaning it contains at least one term that is squared.

The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable.

Here it is given as

[tex]y^{2}-7y+6=-6[/tex]

Adding 6 on both the side we get

[tex]y^{2}-7y+6+6=-6+6[/tex]

[tex]y^{2}-7y+12=0[/tex]

Which is Quadratic Equation in STANDARD form Where,

[tex]a=1\\b=-7\\c=12[/tex]

Therefore,

[tex]y^{2}-7y+12=0[/tex]       ....Standard form.

[tex]a=1\\b=-7\\c=12[/tex]    ......Numerical Coefficients.

-10 + 5b = -35...I want to know the answer to this question pls...or else I will fail the 3rd quarter

Answers

Answer:

-5

Step-by-step explanation:

-10+5b=-35

5b=-35-(-10)

5b=-35+10

5b=-25

b=-25/5

b=-5

James is planning on driving his car to the family reunion. The distance to the
meeting place is 892 miles. If his car gets 29 mpg, how many gallons of gas
will he need?
A. 42.7
O B. 38.9
O C. 36.1
O D. 30.8

Answers

Answer:

"D" (and any subsequent words)

Step-by-step explanation:

Answer:

its D

Step-by-step explanation:

A model of an airplane has a length of 2.5 feet. If the scale used to create the model was 1 foot = 250 feet, what is the actual length of the airplane?

Answers

Answer:

Step-by-step explanation:

1 ft = 250 feet....so 2.5 ft = (2.5 * 250) = 625 feet <==

The actual length of airplane using the scale factor is; 625 feet.

What is the scale factor?

The scale factor states the scale or measurement by which a figure is bigger or smaller than the other figure. The size by which the figure would be reduced or enlarged is called its scale factor.

We are given that;

Length of Airplane = 2.5 feet

Now, we want to find the actual length of the airplane with a scaled length of 2.5 feet.

1 foot = 250 feet,

Thus, the actual length of airplane= (2.5 x 250)

the actual length of airplane= 625 ft

Hence, The actual length of airplane using the scale factor is; 625 feet.

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????????????????????????

Answers

Answer:

Step-by-step explanation:

P(7) = No.of possibilities for getting 7/Total outcomes

=1/8

Answer:

1/8

Step-by-step explanation:

there is 8 "slices" and 1 7

Half of P is at least -7

Answers

Answer:

[tex]p \geqslant - 14[/tex]

Step-by-step explanation:

[tex] \frac{p}{2} \geqslant - 7 \\ p \geqslant - 14[/tex]

The ratio of the price of a tv to the price of a computer is 13:15 if the tv 400 dollars cheaper than the computer, how much does the computer cost.

Answers

The computer cost is $3000

Step-by-step explanation:

The given is:

The ratio of the price of a tv to the price of a computer is 13 : 15The tv 400 dollars cheaper than the computer

We need to find the cost of the computer

Assume that the price of the computer is $x

∵ The ratio between the prices of the tv and the computer is 13 : 15

∵ The price of the computer is $x

∵ The price of the tv 400 dollars cheaper than the computer

- That means the price of the tv is less than the price of the

  computer by $400

∴ The price of the tv is $(x - 400)

By using the ratio method

→  tv              :    computer

→  13              :    15

→  (x - 400)   :    x

By using the cross multiplication

∴ 15(x - 400) = 13(x)

- Simplify the left hand side

∴ 15x - 6000 = 13x

- Add 6000 to both sides

∴ 15x = 13x + 6000

- Subtract 13x from both sides

∴ 2x = 6000

- Divide both sides by 2

x = 3000

The computer cost is $3000

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Your $54200 2 year car loan is at 15.1% compounded annually. What will you have paid for your car after 2 years?

Answers

Final answer:

To find the total amount paid for the car after 2 years, we use the compound interest formula [tex]A = P(1 + r)^n[/tex], where P is the initial loan amount, r is the interest rate, and n is the number of years. Substitute in the given values to calculate the final amount.

Explanation:

To calculate the total amount paid for the car after 2 years, we apply the formula for compound interest. The formula is[tex]A = P(1 + r)^n[/tex], where A is the final amount, P is the principal (or initial amount), r is the interest rate, and n is the number of periods. In this case, P = $54200, r = 15.1% or 0.151, and n = 2.

Plugging these values into the formula:

[tex]A = $54200 * (1 + 0.151)^2[/tex].

Once you solve the equation, you will find the total amount paid for the car after 2 years.

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Final answer:

Using the compound interest formula, you will have paid $71,787.31 for a $54,200 car loan at 15.1% interest compounded annually after 2 years.

Explanation:

To calculate the total amount paid for a car after 2 years on a loan of $54,200 with an interest rate of 15.1% compounded annually, we'll use the formula for compound interest:

[tex]A = P (1 + r/n)^{(nt)}[/tex]

Where:

A is the amount of money accumulated after n years, including interest.P is the principal amount (the initial amount of money)r is the annual interest rate (decimal)n is the number of times that interest is compounded per yeart is the time in years

For this car loan:

P = $54,200r = 15.1% = 0.151n = 1 (since interest is compounded annually)t = 2 years

Substitute the values into the formula:

A = $54,200 (1 + 0.151/1)^(1*2)

A = $54,200 (1 + 0.151)^2

A = $54,200 (1.151)^2

Calculate the amount:

A = $54,200 * (1.151)^2

A = $54,200 * 1.324301

A = $71,787.31

After 2 years, you will have paid $71,787.31 for your car.

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