A 20 foot ladder rests against a wall. The ladder makes a 55° angle with the ground. How far from
the wall is the base of the ladder?

Answers

Answer 1

Answer:

11.5 foot (rounded to one decimal)

Step-by-step explanation:

x = 20×sin(35)

x ≈ 11.47153.. ≈ 11.5

Answered by GAUTHMATH


Related Questions

The measure of an angle is 32.6º. What is the measure of its supplementary angle?

Answers

Answer:

147.4°

Step-by-step explanation:

Supplementary angles sum to 180° , then

supplementary angle = 180° - 32.6° = 147.4°

Supplementary angles are two angles whose measures add up to 180°. Because one angle is 32.6°, 180°-32.6°=147.4°

A certain t-shirt costs $10 less than half the cost of a pair of pants. If the t-shirt costs $15, how much is the cost of the pair of pants?​

Answers

15 divided by two is 7.5 and ten plus 7.5 is 17.5…. It says less than half the cost so I would round down to get $17 for the pain of pants

The cost of the pair of pants is $17.5 or $17 if the certain t-shirt costs $10 less than half the cost of a pair of pants.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

A certain t-shirt costs $10 less than half the cost of a pair of pants. If the t-shirt costs $15.

Let x be the cost of the pair of pants.

The value of x can be found as follows:

x = 15/2 + 10

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division.

x = $17.5  

Thus, the cost of the pair of pants is $17.5 or $17 if the certain t-shirt costs $10 less than half the cost of a pair of pants.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

determine the quadratic equation in standard form of a parabola with a zero at x=5 and vertex ar (-3, 32). start with factored form

a)find the other zero

b) create your factored form equation

c) create your standard form equation ​

Answers

Answer:

see image...

start with Graphing Form: y = a(x-h)²+ k

knowing that h is the x value (negative of it)  of the vertex , and k is the y value of the vertex

Graphing Form Equation: y =  a(x+3)²+32

you are also given that when the x value is 5 the y value has to be 0

0 = a(4)^2 + 32

a has to be - 1/2    

   

Step-by-step explanation:

3x + ky = 8
X – 2ky = 5
are simultaneous equations where k is a constant.
a) Show that x = 3.
b) Given that y = 1/2 determine the value of k.

Answers

Answer:

a) 3x + ky = 8

ky = 8 - 3x

x – 2ky = 5

x - 2(8 - 3x) = 5

x - 16 + 6x = 5

7x = 21

x = 3 (shown)

b) x-2ky = 5

sub x = 3, y = 1/2

3-2k(1/2) = 5

-2k = 2

k = -1

What is the media and explain why.

Answers

Answer:

26

Step-by-step explanation:

Set N: 6, 7 , 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22

The median of set N is 14

Since the median of Set N is the lowest number of set L, it would look like this

Set: L: 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38

The median of Set L is 26

the sum of the fractions 2/y-3 and 6/y+3 is equal to their

Answers

Step-by-step explanation:

Move expression to the left side and change its sign

5

y

3

+

10

y

2

y

6

y

y

+

2

=

0

Write

y

as a sum or difference

5

y

3

+

10

y

2

+

2

y

3

y

6

y

y

+

2

=

0

Factor out

y

and

3

from the expression

5

y

3

+

10

y

(

y

+

2

)

3

(

y

+

2

)

y

y

+

2

=

0

Factor out

y

+

2

from the expression

5

y

3

+

10

(

y

+

2

)

(

y

3

)

y

y

+

2

=

0

Write all numerators above the least common denominator

5

(

y

+

2

)

+

10

y

(

y

3

)

(

y

+

2

)

(

y

3

)

=

0

Distribute

5

and

y

through the parenthesis

5

y

+

10

+

10

y

2

+

3

y

(

y

+

2

)

(

y

3

)

=

0

Collect the like terms

8

y

+

20

y

2

(

y

+

2

)

(

y

3

)

=

0

Use the commutative property to reorder the terms

y

2

+

8

y

+

20

(

y

+

2

)

(

y

3

)

=

0

Write

8

y

as a sum or difference

y

2

+

10

y

2

y

+

20

(

y

+

2

)

(

y

3

)

=

0

Factor out

y

and

2

from the expression

y

(

y

10

)

2

(

y

10

)

(

y

+

2

)

(

y

3

)

=

0

Factor out

(

y

10

)

from the expression

(

y

10

)

(

y

+

2

)

(

y

+

2

)

(

y

3

)

=

0

Reduce the fraction with

y

+

2

y

10

y

3

=

0

Determine the sign of the fraction

y

10

y

3

=

0

Simplify

10

y

y

3

=

0

When the quotient of expressions equals

0

, the numerator has to be

0

10

y

=

0

Move the constant,

10

, to the right side and change its sign

y

=

10

Change the signs on both sides of the equation

y

=

10

Check if the solution is in the defined range

y

=

10

,

y

3

,

y

2

y

=

10

Answer:

I think "Product" is the answer. Not really sure.

Rick spent 3/5 of his money on books. He spent another 2/7 of his money on stationary. What fraction of his money had he left?

Answers

Answer:

He has 4/35 of with money left

Step-by-step explanation:

1 - 3/5 - 2/7 = 4/35

This basically answers the question


[tex]4000 - 1999[/tex]
can anyone
solve this please?​

Answers

4001-1999 is 2001
——————————
2001 is the correct answer :)

HELP ASAP

Write in exponential expressions
If both the numerator and denominator of fraction have an exponent with the same base, we can simplify the expression to the base raised to the numerator’s exponent minus the denominator’s exponent.

Answers

We’ll subtract the exponent in the denominator from the exponent in the numerator, keeping the base the same. Cant be simplified, because the base of the expression in the numerator is y and the base of the expression in the denominator is x.

if f(x) = 2x/2x+1 and g(x) = 1/2x+1, find f(x) / g(x)

Answers

Answer:

2x

Step-by-step explanation:

Just solve the function operation:

f/g=(2x/2x+1)/(1/2x+1) = 2x since (2x/1)/(2x+1/2x+1) simplifies to 2x/1 the answer is 2x

The roots of the quadratic function describing the relationship between number of products produced and overall profit margin are x=0 and 100. The vertex is (50,1000). The maximum profit of $ dollars is reached when items are produced. The first root tells us that the profit will be 0 when 0 products are produced. The second root says once 100 items are made, the company is no longer making any profit. (They do not have production capacity and have to outsource for anything over 50.)

Answers

Answer:

I assume that we want to complete the statement:

"The maximum profit of $__ dollars is reached when __ items are produced"

We know that the profit equation is defined between x = 0 and x = 100, which are the two roots of the equation (so the profit is equal to zero for x = 0 and for x = 100).

Then we can assume that the profit will be positive in this range.

Thus, the quadratic equation should have a negative leading coefficient, which would mean that the arms of the graph go downwards.

If this is the case, we know that the maximum will be at the vertex.

Here we know that the vertex is:

(50, 1000)

Where remember, x represents the number of items and y represents the profit.

So, given that the maximum is at the vertex, and we know that the vertex is (50, 1000) we can conclude that the maximum profit is $1000, and this happens when the number of produced items is 50.

Then the complete statement is:

"The maximum profit of $1000 dollars is reached when 50 items are produced"

What is the probability that an event is certain to occur?

Answers

Answer: 1

Explanation: An event whose occurrence is 100% sure, those events are called certain events.

The probability of such an event is always 1.

Example: The probability of getting a number between 1 to 6 when rolling a die is a certain event.

Find the value of each variable. Lines that appear tangent are tangent, and the dot is the center. (Answer in the form a=? b=? c=? d=?)

Answers

Answer:

a = 60°/2 = 30°

b = 84/2 = 42°

c = (100+60)/2 = 80°

d = 360-100-60-84 = 116°

Answered by GAUTHMATH

Find the area of the shaded region. Use 3.14 for at as necessary. PLEASE HELP ASAP!!

A. 53.5cm^2
B. 132 cm^2
C. 26.8 cm^2
D. 17.1 cm^2

Answers

9514 1404 393

Answer:

  A. 53.5cm^2

Step-by-step explanation:

The area of the circle is ...

  A = πr²

  A = 3.14(5 cm)² = 78.5 cm²

The area of the triangle is ...

  A = 1/2bh

  A = 1/2(10 cm)(5 cm) = 25 cm²

The shaded area is the difference between the circle area and the triangle area:

  shaded = 78.5 cm² -25 cm² = 53.5 cm²

_____

Additional comment

As with many multiple-choice questions, you can simply pick the answer that is not outlandish. The circle will fit into a square that is 10 cm on a side, so its total area is less than 100 cm² (eliminates choice B).

The shaded area is definitely more than 1/4 of that 100 cm² square, so choices C and D are eliminated, too. The only choice that is not unreasonable is choice A.

Answer:

A.) 53.5 cm2

Step-by-step explanation:

I got it correct on founders edtell

Please help me solve this short problem today is my last day to complete these

Answers

Answer:

shift of 1 unit to the right

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

Given the parent function is y = x² , then

y = (x - 1)² is a shift to the left of 1 unit of the parent function

√6 (√24-√6in class problem​

Answers

Answer:

6

Step-by-step explanation:

√6 (√24-√6)

Distribute

sqrt(6) sqrt(24) - sqrt(6)sqrt(6)

sqrt(144) - sqrt(36)

12 - 6

6

GIVING BRAINLIEST Graph and solve the inequality y>-|x-5|-1

Answers

Answer:

First, solve for two points as an equation instead of an inequality to find the boundary line for the inequality.

For:

x

=

0

y

=

0

+

5

y

=

5

Or

(

0

,

5

)

For:

x

=

2

y

=

2

+

5

y

=

3

Or

(

2

,

3

)

We can now plot the two points on the coordinate plane and draw a line through the points to mark the boundary of the inequality.

The boundary line will be solid because the inequality operator contains an "or equal to" clause.

graph{(x^2+(y-5)^2-0.125)((x+2)^2+(y-3)^2-0.125)(y-x-5)=0 [-20, 20, -10, 10]}

Now, we can shade the left side of the line.

graph{(y-x-5) >= 0 [-20, 20, -10, 10]}

Joylin is writing an equation to model the proportional relationship between y, the total cost in dollars of downloading videos from a website, and x, the number of videos downloaded. She knows that the total cost to download 3 videos was $12. Her work to find the equation is shown below.

Joylin’s Work

Step 1
k = StartFraction 3 over 12 EndFraction = 0.25
Step 2
y = 0.25 x

Where did Joylin make her first error?

Answers

Answer:

Step-by-step explanation:

Jocelyn was attempting to find out how much she will be charged per download. She has the fraction upside down. To find the amount of money per download, the fraction should be $12/3downloads to get $4/1download. That is the slope of the equation, the rate of change or, for us, the fact that your cost will go up $4 for every single video you download. The equation would then be

y = 4x

The way she has it, we are paying only a quarter for a download. If that be the case, for 3 downloads we would only be paying .75, but it says we pay $12, so we know something is wrong right there.

Answer:

The answer is A

Step-by-step explanation:

Write the equation of the function

Answers

4/1 is the slope so (-2-1/4=x)

I need help plz someone help me

Answers

Answer:

N'=(0, 0)

K'=(4,4)

I'=(4, 0)

There are 20 wild pigs on an island and the number of pigs doubled each year for the past 5 years. The independent variable is:

Answers

Answer

Step-by-step explanation:

This is because the wild pigs' fertilty rate increased for the past five years,  which caused them to double each year.

Find −4^3(5^2). Express using exponents.​

Answers

Answer:

-1600

Step-by-step explanation:

−4^3(5^2)

5 × 5 = 25

-4 × -4 × -4

   -16 × -4

       -64

64 × 25 = -1600

   

The answer is -1600

Hope this helped.

Friends please give ,e the answer i have exam at 12.00 with workings .

Answers

Answer:

impossible

Step-by-step explanation:

The sum of the internal angles of the regular polygon and the theorem n-sided polygon is equal to: (n-2)×180° (n is greater than or equal to 3 and n is an integer)

when n=3,The internal angle sum is 180°

pls help geometry! Surface area

Answers

Answer: SA = 368

Step-by-step explanation:

Answer:

The surface area of the figure is 368[tex]in^{2}[/tex]

Step-by-step explanation:

To find the surface area of a rectangular prism you must know the formula.

A=2(wl+hl+hw)

Hope this helps!

If two lines represent the same line, then what is the nature of its solution?

Answers

Step-by-step explanation:

If a consistent system has exactly one solution, it is independent . If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line. If a system has no solution, it is said to be inconsistent .

Answer:

Infinite

Step-by-step explanation:

Solution between 2 lines is considered the point of their intersection. Now, since two lines are same (not only parallel but same), it tends to have infinite solutions.

The first term of an arithmetic sequence is -3 and the fifteenth term is 53. What is the common difference of the
sequence?

Answers

Answer:

53=-3+14d

56=14d

d=4 that is the common difference

whats the geometric means of 4 and 1/4

Answers

The gometric means G1, G2, G3, 1/4

Find the missing side lengths

Answers

Answer:

u is 172 and v is 17

Step-by-step explanation:

To find u:

[tex]{ \bf{ \sin( \theta) = \frac{opposite}{hypotenuse} }}[/tex]

feed in the terms:

[tex] \sin(45 \degree) = \frac{17}{u} \\ \\ u = \frac{17}{ \sin(45 \degree) } \\ \\ u = 17 \sqrt{2} [/tex]

To find v:

[tex] \cos( \theta) = \frac{adjacent}{hypotenuse} [/tex]

feed in the terms:

[tex] \cos(45) = \frac{v}{u} \\ \\ v = u. \cos(45) \\ v = (17 \sqrt{2} )÷( \sqrt{2} ) \\ v = 17[/tex]

Help help help help help

Answers

0 and 4 are the answers

Answer: 0 and 4

Step-by-step explanation:

A, B and C are points on a circle.
EF is a tangent to the circle at C.
D is a point on AC.
Angle CBD:Angle ABD = 3:1.
Find angle ADB.
Give a geometrical reason for each step of your working.

Answers

Answer:

44/3 degrees

Step-by-step explanation:

Angle CBD = 180 - (64 + 72) = 44

Angle ADB = 44/3 (Since of the ratio)

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