A ladder 20m long rests against a vertical wall as that the foot of the ladder is 9m from the wall. Find, correct to the nearest degree, the angle that the ladder makes with the wall.​

Answers

Answer 1

Answer:

If the ladder is 9 m from the wall

cos theta = 9 / 20 = .45 and theta = 63.3  angle made with floor

So the angle made with the wall is 90 - 63.3 = 26.7


Related Questions

What is the solution, if any, to the inequality |3x|20?
all real numbers
solution
no
x>0
x

Answers

Answer:

20×2=40bnmcsshjvghjpiutewqadgjlmbcz

Answer: all real numbers

Step-by-step explanation:

56 is less than the square of 10 ​

Answers

Let X be the positive number.

From the given condition, we get X = X^2–56

=> X^2-X-56=0

Factorizing the above equation,

=> X^2–8X+7X-56=0

X(X-8)+7(X-8)=0

(X-8)(X+7)=0

X=8 or -7

Since it is said the number is positive. Our output number will be 7

please help me Find DE.

Answers

Answer:

DE = 11

Step-by-step explanation:

DF = DF +EF

4x+2 = x+7 + 7

Combine like terms

4x+2 = x+14

Subtract x from each side

4x+2-x = x+14-x

3x+2 = 14

Subtract 2 from each side

3x+2-2 =14-2

3x=12

Divide by 3

3x/3 = 12/3

x = 4

DE = x+7 = 4+7 =11

Answer:

DE is 11

Step-by-step explanation:

[tex]DE = DF - EF \\ DE = (4x + 2) - 7 \\DE = 4x - 5 [/tex]

But for x:

[tex]4x + 2 = (x + 7) + 7 \\ 4x + 2 = x + 14 \\ 3x = 12 \\ x = 4[/tex]

Therefore:

[tex]DE = (4 \times 4) - 5 \\ = 16 - 5 \\ = 11[/tex]


Write down a decimal that is more than 7/11 and less than 7/9
will award brainiest!!

Answers

Answer:

0.7

Step-by-step explanation:

7/11 = 0.63636363

7/9 = 0.777777778

so a decimal between them will be, 7/10 = 0.7

Help me with these questions plz

Answers

Answer:

Step-by-step explanation:

2) Cost Price = CP = $ 35

Tax = $ 3.29

Tax percent = [tex]\frac{tax}{CP}*100[/tex]

                    [tex]= \frac{3.29}{35}*100\\\\[/tex]

                    = 9.4 %

Total amount paid by Ian = CP + tax = 35 + 3.29

                                          = $ 38.29

3) Price of the order = $ 56.50

Shipping cost % = 3 % = 0.03

Shipping cost = price of the order * shipping cost %

                       =  56.5 * 0.03

                       =  1.695

                       = $ 1.70

Total cost = Price of the order + Shipping cost

                = 56.5 + 1.70

                = $ 58.20

4) Bill amount = $ 26

Tip % = 18%

Tip amount = Tip % * bill amount

                   [tex]= \frac{18}{100}*26\\[/tex]

                   = $ 4.68

5) commission% = 3.5 %

Commission amount = commission% * Sales

                                   [tex]= \frac{3.5}{100}*50000[/tex]

                                  = $ 1750

Base salary for a week  = $400

Base salary  for two weeks = 400 * 2 = $ 800

Emmett's earning for this two weeks period = Base salary for two weeks + commission

= 800 + 1750

= $ 2550

6) Tax % = 10.25 %

Purchase amount = $ 310.50

Tax = Tax% * Purchase amount

      [tex]= \frac{10.25}{100}*310.50[/tex]

      = $ 31.83

Total = Purchase amount  + Tax

         = 310.50+ 31.83

         = $ 342.33

Need helppppp asappppppp

Answers

Answer:

162

Step-by-step explanation:

because this is a parallelogram :

m<2 = m<4 so

4x - 22 = 3x - 12

4x - 3x = 22 - 12

x = 10 replace x with 10 in the equation for m<4

3x - 12 is 30 - 12 = 18

m<4 and m<1 are supplementary and their sum is equal to 180

m<4 + m<1 = 180

m<1 = 180 - 18

m<1 = 162

BRAINLIEST

HOW CAN POSTULATES AND THEOREMS RELATING TO SIMILAR AND CONGRUENT ANGLES BE USED TO WRITE A PROOF?

Answers

Answer:

How can postulates and theorems relating to similar and congruent triangles be used to write a proof? If the three sets of corresponding sides of two triangles are in proportion, the triangles are similar. ... If the three sets of corresponding sides of two triangles are in proportion, the triangles are similar.

Step-by-step explanation:

Hope this helps :D good luck!!

Divide : 12a²b³ 6a²b by 3ab ​

Answers

Answer:

easy

Step-by-step explanation:

4ab³6a²b

Answer:

[tex] \frac{12 {a}^{2} {b}^{3} 6 {a}^{2}b }{3ab} \\ thank \: you[/tex]

In January Mr.Tan's students read 20 books. In February, they read 15 books. What is the percent increase or decrease in the number of books the read?

Answers

Answer:

there is a 25% decrease in books being read

If a quadratic equation is written in intercept form, y = (x-3)(x+5), then vertex is at...

Answers

Answer:

The vertex is at (-1, -16).

Step-by-step explanation:

We are given the quadratic equation:

[tex]y = (x-3)(x+5)[/tex]

And we want to find its vertex.

Recall that the x-coordinate of the vertex is also the axis of symmetry. Since a parabola is symmetric about the axis of symmetry, the axis of symmetry is halfway between the two roots.

From the equation, we can see that our two roots are x = 3 and x = -5.

Hence, the axis of symmetry or the x-coordinate of the vertex is:

[tex]\displaystyle x = \frac{(3) + (-5)}{2} = -1[/tex]

To find the y-coordinate of the vertex, evaluate the equation at x = -1:

[tex]\displaystyle \begin{aligned} y(-1) &= ((-1)-3)((-1)+5)\\ &= (-4)(4) \\&= -16\end{aligned}[/tex]

Hence, the vertex is at (-1, -16).

The divisibility rule for 7 says 10a + b is a multiple of 7 if only and only if a - 2b is a multiple of 7

Explain.

Answers

Answer:

Step-by-step explanation:

Well I can show you by example. Try 28

a = 2

b = 8

2 - 2*8 = 2 - 16 = -14

- 14 is divisible by 7. You get - 2.

That means that 28 is also divisible by 8

We'll try one more. Try 56

a = 5

b = 6

5 - 2*6 = 5 - 12 = - 7

- 7 is divisible by 7 so 56 must be as well. What I'm wondering is if the rule in some form works for 735 and if it does how?

a = 73

b = 5

73 - 10 = 63

63 is divisible by 7 (giving 9)

so 10*73 + b is divisible by 7.

Try something a bit harder.

115444

a = 11544

b = 4

a - 2*4

11544 - 8

11536 / 7

1648 which works perfectly.

115444 is divisible by 28 which is a multiple of 7

Really amazing! Thanks for posting.

hello could you please help me with this math problem with full explanation which I am unable to solve? Thanks.

Answers

Answer:

8 / sqrt(3)

Step-by-step explanation:

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

tan theta = opp / adj

tan A = BC / AC

tan 30 = BC / 8

8 tan 30 = BC

8 * sqrt(3)/3 = BC

8/3 sqrt(3) = BC

Identify the parent function that can be used to graph the function f(x)=- 9(x + 5)2.
a. Fx) = x2
c. Fx) = x
b. Fx) = [x]
Please select the best answer from the choices provided
Ο Α
OB
Ос

Answers

Option c is correct one

not sure

Answer:

A. f(x) = x²

Step-by-step explanation:

Given function:

f(x) = - 9(x + 5)²

This is quadratic function.

The simplest form of a quadratic function is:

f(x) = x²

Correct choice is A

Find the surface area of the
triangular prism.
7 cm
66 cm
7 cm
cm
5 cm
[?] sq cm
Enter

Answers

Answer:

169 sq cm

Step-by-step explanation:

which is odd one out 4:10 12:25 20:50 8:20​

Answers

Answer:

All of them except 12:25 simply to 2:5. So 12:25 is the odd one out.

If 24n-¹ + 3 = 7 What is the value of n​

Answers

Answer:n=6

Step-by-step explanation:

HELP ASAP ILL GIVE BRAINLIST

t/f Elimination will give you an exact answer to a system of equations.

t/f If substituting the test point produces a false solution, we shade on the opposite side of the line.

Answers

Answer:

TRUE Elimination will give you an exact answer to a system of equations.

FALSE If substituting the test point produces a false solution, we shade on the opposite side of the line.

Find the equation of the line:
through (5, -1) and (2, 2).

Answers

Answer:

y = -x + 4

Step-by-step explanation:

(x₁,y₁)= (5, - 1)    & (x₂,y₂)= (2 , 2)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

         [tex]\frac{2-[-1]}{2-5}\\\\=\frac{2+1}{-3}\\\\=\frac{3}{-3}\\\\= -1[/tex]

m = -1

Equation of the line y - y₁ = m(x - x₁)

y  - [-1] = (-1)*(x - 5)

y + 1 = -x + 5      {-1 is distributed}

y = -x + 5 - 1

y = -x + 4

which one is the right answers

Answers

Answer:

B

Step-by-step explanation:

n is the number of litres.

if you substitute 1 for 'n' then you will get :

C = 8 + 1.5(1)

C = $9.5

$9.50 for every litre

Answer:

C is correct

Step-by-step explanation:

The $8 charge is only once regardless of how many liters are ordered, so only answer C works.

what is the difference of the fractions?
-2 1/2 - (-1 3/4)​

Answers

Answer:

-3/4

Step-by-step explanation:

First, let's convert the mixed numbers into improper fractions in an effort to make this problem easier to solve.

-2 1/2 as a mixed number is -5/2 and -1 3/4 as a mixed number is -7/4.

Our problem is now -5/2 - (-7/4).

We still can't solve this because the two fractions do not share a common denominator. 4 can serve as one, so -5/2 with a denominator of 4 would be -10/4.

The problem is now -10/4 - (-7/4).

Two negatives make a positive so the problem can be rewritten as -10/4 + 7/4. The final answer is -3/4.

Which graph represents the solution set to the following system of linear
inequalities?
ys2x+7
y>-3x-2
PLSS HELP!

Answers

Answer:

Step-by-step explanation:

I am not sure what your first inequality is saying y≤2x +7 or y≥2x+7

-the equation y> -3x-2 , has a negative slope m= -3 (the line is going down from left to right if is a negative slope) and it has to be a dotted line( <, or > is a dotted line, ≤, or ≥ is a solid line) so the answer must be either A or D

-if the second equation is y≤2x +7 then the answer is D because y has to be less than 2x+7 the area under the line will be include in the solution

--if the second equation is y≤2x +7 then the answer is A because y has to be greater than 2x+7 the area above the line will be include in the solution

Answer:

1 4/5

Step-by-step explanation:

2x+7>-3x-2

2x+3x>-2-7

5x/5>-9/5

=1 4/5

Thanks Hope It Help

The number n is doubled and then has y added to it. The result is then divided by 2 and has the number n subtracted from it, the final result is

Answers

Answer:

[tex]\frac{y}{2}[/tex]

Step-by-step explanation:

n is doubled: 2n

y added: 2n + y

divided by 2: n + [tex]\frac{y}{2}[/tex]

n subtracted -> final resutl: [tex]\frac{y}{2}[/tex]

Find the area of the circle.
Use 3.14 for it. Do not round your answer.
Hint: A = Tira
14 inches
Area = [?] inches?
Enter the number that
belongs in the green box.

Answers

Use the formula given. R is half the diameter

R = 14/2 = 7 inches.

Area = 3.14 x 7^2

Area = 153.86 inches^2

Answer:

Does the answer help you?

if √x-5 varies directly as y and x=30 when y= 2, find the value of x when y=8.​

Answers

Answer:

let,

√x-5=ky

x=30 when y=2

√30-5=2k

or, k=(√30-5)/2

now, when y=8

√x-5=8×(√30-5)/2

or, √x-5=4√30-20

or, √x=4√30-15

or, x=(4√30-15)²

or, x=47.73..

WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!!

Answers

Answer:

Value of tan( π/3 ):

[tex]{ \tt{ \frac{\pi}{3} = \frac{180}{3} = 60 \degree }}[/tex]

60° lies within the first quadrant.

[tex]{ \sf{ \tan( \frac{ \pi}{3} ) = ( \frac{1}{2} , \: \frac{ \sqrt{3} }{2}) }}[/tex]

Since it's a half:

[tex]{ \boxed{ \sf{ \tan( \frac{\pi}{3} ) = \sqrt{3} }}}[/tex]

Length of hypotenuse:

[tex]{ \bf{ \sin(31 \degree) = \frac{16.5}{h} }} \\ { \sf{h = 32.04}}[/tex]

Hypotenuse = 32.0

28. find the range…
please help!!!

Answers

Answer:

A

Step-by-step explanation:

lm‎ao this problem is b‎u‎l‎ls‎h‎‎‎i‎t because the actual answer would be [2, 2] U (7, infty) but thats literally not there, so ig the closest one would be [2, infty) which is A

if it was asking for the domain on the other hand, then it would be B lm‎ao

but I would go with A

what is the bionomial expansion of (x-1y)^2​

Answers

Answer:

[tex] {(x - y)}^{2} \\ = (x - y)(x - y)[/tex]

open the brackets:

[tex] = ( {x}^{2} - xy - xy + {y}^{2} ) \\ = {x}^{2} - 2xy + {y}^{2} [/tex]

Banners at the school’s store we’re on sale for $4 off the regular price. Mike brought 5 banners on sale and paid a total of $20. Write and solve an equation to find the regular price of one banner.

Answers

Answer:

$8

Step-by-step explanation:

Let the regular price is x, then:

(x - 4)*5 = 20x - 4 = 20/5x - 4 = 4x = 4 + 4x = 8

What is his weekly allowance if he ended with $15?

Answers

3 dollars a day would be the answer i bel bye
3 dollars I believe

James defines an angle as "a figure consisting of two rays." His statement is not precise enough because he should specify that

the rays must be collinear
the rays must form a right angle
the rays must have a common endpoint
the rays must continue in one direction forever

Statement: If two noncollinear rays join at a common endpoint, then an angle is created. Which geometry term does the statement represent?

Defined term
Postulate
Theorem
Undefined term

Answers

James should define that the rays must be collinear. the two rays coming from the same point will form collinear rays which will form an angle at end point.

The statement of james should be precise in order to clearly explain the angle formation.

The two non collinear rays will form an angle at end point where they meet with each other.

The defined vertex will form the appropriate angle. there should be defined term for the non collinear rays.

Learn more at https://brainly.com/question/24373158

1: The rays must have a common endpoint

2: Defined term

I took the test and got both right :))

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