A 6.50 m long ladder leans against a house wall. The ladder forms an angle of inclination a of 72 ° with the horizontal ground. How high is the ladder against the wall?

Answers

Answer 1

6.182m against the wall from the ground

Well this is a tricky one though but very easy.

So we have on our hands a 6.50m long ladder leaning against a wall at an angle of 72°, as illustrated in the diagram above. (please parden my hand writing).

So we are to find how high the ladder is against the wall, which from the diagram I labelled as y, and to find y we have to use something called SOHCAHTOA. This basically is use in calculating some lengths of a right angle triangle when Pythagoras therom fails u .

So from SOHCAHTOA, we are going to use SOH

What this basically means is

The sin of an angel(for example x) can be found by dividing the opposite to the angle by the hypotenuse. Since we are finding for y

Sin(72°) = y/6.50, if we should cross multiple the we will be having

Y = sin(72°) * 6.50

After evaluating using your calculator,

You will have y = 6.182

A 6.50 M Long Ladder Leans Against A House Wall. The Ladder Forms An Angle Of Inclination A Of 72 With

Related Questions

4y-10+3.14=180
value of y

Answers

Answer:

The value of y is 46.715

Step-by-step explanation:

4y-10+3.14 = 180

4y = 180 + 10 - 3.14

4y = 186.86

4y ÷ 4 = 186.86 ÷ 4

y = 46.715

ummmm help me cause i am the queen ya know

Answers

Answer:

80 square units

Step-by-step explanation:

I am in a rush so this might not be right but probably is

hihii who knows the answer to this question??

Answers

X times 2+11
Explaination me smart

Part A

x = some unknown number

2x = doubling that number

2x+11 = adding on eleven

Answer:   2x+11 = 25

=============================================================

Part B

If we knew what x was, then we can compute 2x+11 using the order of operations PEMDAS. Because x is unknown, we follow PEMDAS in reverse to isolate x.

So we'll undo the addition first by subtracting 11 from both sides. Then we undo the multiplication by dividing both sides by 2.

2x+11 = 25

2x+11-11 = 25-11 ..... subtract 11 from both sides

2x = 14

2x/2 = 14/2 ...... divide both sides by 2

x = 7

The number the person thought of was 7. Double 7 to get 14. Add on eleven to get 14+11 = 25.

Answer:  x = 7

Write the given equation of a line that passes through the given point (-2,-1) and (0,-5)

Answers

Step-by-step explanation:

2x+y+5=0 is the required equation of the line

how can i Find the volume of the following cylinder that the Radius of 1 cm Height of 8 cm

Answers

Answer:

Okay first you need to use the formula: V=[tex]\pi r^{2} *h[/tex]

All you need to do is plug in those numbers.

Like this: V= [tex]\pi *1^{2}*8[/tex]

which is = 25.13 [tex]cm^{3}[/tex]

Ta-da!! lol. Have a great day!

A pool is being filled at the rate of 66 gallons per hour. ?hours = 22gallons 1.5hours = ?gallons

Answers

Answer:

1/3 hours : 22 gallons

1.5 hours : 99 gallons

Step-by-step explanation:

set a proportion fo all of them

x hours : 22 gallons:

66 22

--- = ---

60 x

22/66 = 0.3333333333333 x 60

= 20 and convert to fraction

20/60 simplified is 1/3

1.5 hours : x gallons

66 x

-- = ---

1 1.5

1.5 / 1 = 1.5

1.5 x 66 = 99

x = 99

18 is 120 percent of what number​

Answers

Answer:

18 is 120 percent of 15

Step-by-step explanation:

100/120 = 15

15/100, which means that 18/120 as a percentage is 15%.

hope this helps :)

I need help..............

Answers

Answer: Choice D

Explanation:

The commutative property of addition is A+B = B+A. We can add two numbers in any order. For example: 2+3 = 3+2 since both sides result in 5.

The idea applies to fractions as well. In choice D, the fractions 3/5 and 2/3 swap places so that we can group the 1/3 and 2/3. From there, the 1/3 and 2/3 combine to 1 and that's how we end up with the mixed number 1 & 3/5.

Camilla thinks that -5 is less than -7 because 5 is smaller than 7.explain why Camilla is correct

Answers

Think of a vertical number line. The positive values count down as we move down this number line. The negative numbers count up, so to speak, as we move down the number line. So we have -1, -2, -3, ... as we move down. This indicates that -5 is not smaller than -7.

Diagram is below.

How do you solve this and find x?

Answers

Answer:

fraction form

x= 2 + ln(30)/ln(7)

decimal form

x= 3.74786969

Step-by-step explanation:

What I like to call the logarithmic equation solver.

Bring it down turn it around.

First bring down the 7 to a ㏒7 and the x-2 so that ㏒7(x-2)=30

Then change the constants from on another so then it would look like

㏒7(30)=x-2

solve for x

to solve do the log base finder equation ㏒(30)/ln(7)

and add 2

X is 3.748

To accomplish this task you have to take the logarithm of both sides of the equation to remove the variable from the exponent.

ln(30)/ln(7)+2

ln(30)=3.401

ln(7)=1.946

3.401/1.946=1.7476

1.7476+2=3.748 after considering all extra decimal places to the closest thousandth.

Candace is considering trying the Spice Tea. What is the greatest number of 1-pound bags of Dark Roast coffee she can buy with
$52, if she also buys 0.5 pound of the Spice Tea and 2 pounds of the Morning Blend coffee?

Answers

Answer:

Step-by-step explanation:

69

16. Colton has a $6 credit balance on his credit card. He uses the credit card to
pay $9 for lunch. Use the number line to subtract $9 from Colton's credit
balance, and complete the equation.
ucation
6
8
10
12
14
text: Oppo...
16

Answers

Answer:

He uses the credit card to pay $9 for lunch. Use the number line to subtract $9 from Colton's credit balance, and complete the equation. ucation

Step-by-step explanation:

What is the quotient of 4/5 divided by 1/3?
:

Answers

Answer:

2.4

Step-by-step explanation:

4/5 / 1/3

4/5 x 3/1

4/5x3/x1 = 12/5

22/5

12/5 = 2.4

40. If f(x) = -3x + 7 and g(x) = -7x+3, what is the value of f(-3) - g(3)?

Answers

Answer:

34

Step-by-step explanation:

f(-3) = -3(-3) +7

f(-3) = 16

g(3) = -7(3) +3

g(3)= -18

16 -(-18) = 34

Answer:

34

Step-by-step explanation:

f(x) = -3x + 7

f(-3) = -3(-3) + 7

= 9 + 7 (two negatives make a positive)

= 16

g(x) = -7x + 3

g(3) = -7(3) + 3

= -21 + 3

= -18

16 - (-18)

16 + 18 (two negatives make a positive

= 34

Hope this helps!

Mrs. Burns purchased 12 ears of corn for $5.76. What is the price per ear of corn?

Answers

Answer: 0.48

Step-by-step explanation: 5.76 divided by 12 equals 0.48 because that determined how much an ear of corn costs.

$5.76 / 12 = $0.48

The price per ear of corn is $0.48

What is the square root of r^64

Answers

Answer:

the answer is 8

Step-by-step explanation:

because the (8)²is 8×8is 64

Find the 75th term of the arithmetic sequence -21, -10, 1

Answers

Answer:

793

Step-by-step explanation:

Arithmetic sequences are basically linear equations, so as input increase by one output always increases by the same amount. In sequences this is called common difference. To find it, just subtract one term by the term right before it.

So, -10--21=11 and also 1--10=11

so common difference is 11

now we will use the formula Asubn=Asub1+d(n-1)

D is Common difference and n is the term you're solving for. The n-1 is a result of the first term being in the formula. When one is plugged into n-1 you get zero and then multiply d by zero and you get zero and are left with Asub1

Anyways, Asub75=-21+11(75-1)=793

solve for k 5k-2=2k+4

Answers

Answer:

k = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

5k - 2 = 2k + 4

Step 2: Solve for k

[Subtraction Property of Equality] Subtract 2k on both sides:                      3k - 2 = 4[Addition Property of Equality] Add 2 on both sides:                                    3k = 6[Division Property of Equality] Divide 3 on both sides:                                  k = 2

Answer:

k=2

Step-by-step explanation:

5k-2=2k+4

add 2 to both sides

5k=2k+6

subtract 2k to both sides

3k=6

divide both 3k and 6 by 3 to get k by itself

k=2

Write an equation representing how much Tristan paid.

After Gwen, Tristan, and Keith finish exercising, they go to the fair. At the fair, they each pay the entry fee and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task, you will create a system of equations and find the cost of each ticket. Let x represent the entry fee and y represent the cost of each ticket in dollars.

Answers

Answer:

These are the equations

Step-by-step explanation:

Gwen's equation =   x + 10y = 30

Tristan's equation=  x + 15y = 40

Keith's equation =  x + 10y = 30

Find the value of x in each case

Answers

Answer:

Step-by-step explanation:

∠AEB + ∠FEC = 180   {linear pair}

∠AEB = 180 - 4x

DE // AB , AE is transversal,

∠EAB = ∠DEA   {Alternate interior angles}

∠EAB = 2x

∠EBC = ∠AEB + ∠EAB  {Exterior angle property}

    6x  =  180 - 4x + 2x

    6x = 180 - 2x

Add 2x to both sides

6x + 2x = 180

8x = 180

x = 180/8

x = 22.5

easy one for you folks.​

Answers

Answer:

2/5

Step-by-step explanation:

Six out of 15 are full.

[tex]\dfrac{6}{15}=\dfrac{2*3}{5*3}=\dfrac{2}{5}[/tex]

Noah’s recipe for one batch of sparkling orange juice uses 4 liters of orange juice and 5 liters of soda water. If someone uses 400 liters of orange juice, how much soda water would they need? And how many batches would that make?

Answers

Answer:

They would need 500 liters of soda water and this would make 100 batches of the sparkling orange juice.

Step-by-step explanation:

hope this helps. . . <3

good luck!    uωu

Answer:

500 soda water, 100 batches, just a guess so sorry if im wrong

Step-by-step explanation:

Substance A has 2% alcohol mixture, and substance B has 6% alcohol mixture. To mix substance A and B for a capacity of 60 liters with 3.2% alcohol mixture, how many liters of substance A and B are used each?

Answers

Answer:

18 liters of 6% substance B

42 liters of 2% substance A

Step-by-step explanation:

let x be the liters of 6%, the balance of 60 - x liters is the 2% together they make 60 liters of 3.2%

6x + 2(60 - x) = 3.2(60)

distribute

6x + 120 - 2x = 192

Combine like terms

4x = 72

Divide bothsides by 4

x = 18 liters of 6%

60 - x = 42 liters of 2%

The length of the base of an isosceles triangle is x. The length of a leg is 4x - 7. The perimeter of the triangle is 31. Find x.

Answers

Answer:

x= 5

Step-by-step explanation:

am isosceles triangle has 2 sides equal i.e the legs.

What is the average rate of change of the function f(x)=4x^2+3x on the interval [1,5]

Answers

Answer:

7, though I don't know if it's 100% correct. I tried to help.

Step-by-step explanation:

f(x) = 4x^2 + 3x interval [1,5]

f(1) = 4(1)^2 + 3(1)

f(1) = 4 + 3

f(1) = 7

Answer:

[tex]\boxed {\boxed {\sf 27}}[/tex]

Step-by-step explanation:

The average rate of change is the change in the output from one input to another. Essentially, it is the change in y over the change in x.

[tex]\frac {\Delta y}{\Delta x} = \frac { f (x_2)- f(x_1) }{x_2-x_1}[/tex]

Let's assign 1 to x₁ and 5 to x₂.

[tex]\frac {f(5)-f(1)}{5-1}[/tex]

We must find the outputs f(5) and f(1). Substitute the value in for each x in the function.

f(x)= 4x² + 3x

f(5) = 4(5)² + 3(5) f(5)= 4(25) + 15 f(5) = 100 + 15 =115

f(1)= 4(1)² + 3(1) f(1)= 4(1) + 3 f(1)= 4+ 3 =7

Now we can find the average rate of change. We know the outputs and we know the inputs.

[tex]\frac {f(5)-f(1)}{5-1}[/tex]

[tex]\frac {115 -7}{5-1}[/tex]

[tex]\frac {108}{4}[/tex]

[tex]27[/tex]

The average of change of the function f(x) = 4x² + 3x on the interval [1,5] is 27.

Arrange the following in ascending order b) 3.14, 31.4, 0.314, 3 2/4, 3.141
c) 2.0867, 0.28677, 28.067, 0.2867, 2.867

Answers

Step-by-step explanation:

b) 3.14, 31.4, 0.314, 3 2/4, 3.141

3.14, 31.4, 0.314, 3.5, 3.141

0.314, 3.14, 3.141, 3.5, 31.4

PLEASE MARK ME AS BRAINLIST

write a recursive formula for this sequence

2.3, 2.8, 3.3, 3.8, ...

Answers

Answer: 2.3

Step-by-step explanation: 3.8-3.3 =3.3-2.8=2.8-2.3=0.5 (common difference)of arithmetic sequence

a recursive formula for the sequence is : An+1=An +0.5

what is the degree measure of the missing angle? 84 34 114 24​

Answers

Answer:

24°

Step-by-step explanation:

We are given that m∠EFG is a right angle, and that m∠EFH = 66°

m∠EFH + m∠HFG = m∠EFG

Substitute values and solve.

66 + m∠HFG = 90

m∠HFG = 24°

Twenty-five friends share equally the cost of buying a $200 gift. How much money does each person contribute?

Answers

Answer:

Each friend contributes 8 dollars

Step-by-step explanation:

200 ÷ 25 = 8 dollars

so each friend contributes 8 dollars

Answer:

Each person contributes $8

Step-by-step explanation:

200/25= 8

(y=x-4
(y=-2x+5 ................................................................

Answers

I don’t know the answer

Answer:

y= -1, x=3

Step-by-step explanation:

2x+y=5

x-y =4

x= 4+y

Sub 1 into 3

2( 4+y ) 4y =5

8+2y +y =5

8+3y =5

3y =5-8

3y =-3

y=-3÷3

y = -1 #

Sub y = -1 into 3 equation

x=4+(-1)

x=3 #

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