A six meter long ladder leans against a building. If the ladder makes an angle of 60° with the ground. How far up the wall does the ladder reach? (Round to the nearest tenth)

Answers

Answer 1

Step-by-step explanation:

step 1. This is a 30-60-90 triangle where the side opposite the 30° is the smallest and represented as x, the side opposite the 60 ° is the middle length at x(sqrt(3)) and the side opposite the 90° is the longest side at 2x. note: sqrt is the square root.

step 2. The ladder is 6m and is the 2x side.

step 3. The wall is across from the 60° side and is the x side.

step 4. if the 2x side is 6m then the x side is 3m.

step 5. The ladder is 3m up the side of the house.

Related Questions

Vita wants to center a towel bar on her door that is 27 inches wide.
end of the door is 9 inches. Write and solve an equation to find the length
She determines that the distance from each end of the towel bar to the
of the towel bar.

Answers

The length of the towel bar is 9.5 inches.

How to solve the equation?

Length is used to measure distance, In the International System of Quantities, a quantity with the distance dimension is referred to as length. The majority of measurement systems select a base unit for length from which all other units are derived. The metre serves as the International System of Units' fundamental unit of length.

Suppose, the length of the towel bar is x inches

The distance from each end of the towel bar to the end of the door is 9

inches. So, the total width of the door will be:[(x+(9*2)]=(x+18) inches

Given that, the width of the door is 27 inches 27.5 So, the equation will be.

x+18=27.5

x=27.5-18=9.5

Thus, the length of the towel bar will be 9.5 inches.

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Match each expression with A, B, C or D.
A=a^3
B=6a
C=12a
D=3a^2
i)3a x 4
ii)a^2xa
iii) 6 1/2 a^2

Answers

The matching expressions are:

$i) 3a x 4 = C (12a)\\ii) a^2 x a = A (a^3)\\iii) 6 × 1/2 a^2 = D (3a^2)$

i) 3a x 4 can be represented as C (12a) since multiplying 3a by 4 gives 12a.

ii) a^2 x a can be represented as A (a^3) since multiplying a^2 by a gives a^3.

iii) $6 \times 1/2 a^2$ can be represented as D (3a^2) since multiplying 6 by 1/2 and then by a^2 gives 3a^2.

To understand the matching expressions, let's break down each one:

i) 3a x 4:

This expression represents multiplying a variable, 'a', by a constant, 4. The result is 12a, which matches with C (12a).

ii) a^2 x a:

This expression represents multiplying the square of a variable, 'a', by 'a' itself. This results in a^3, which matches with A (a^3).

iii) 6 × 1/2 a^2:

This expression involves multiplying a constant, 6, by a fraction, 1/2, and then multiplying it by the square of 'a', a^2. The final result is 3a^2, which matches with D (3a^2).

Therefore, the matching expressions are:

i) 3a x 4 = C (12a)

ii) a^2 x a = A (a^3)

iii) 6 × 1/2 a^2 = D (3a^2)

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The current temperature is 70 degrees at 8am. It is a hot day, so the temperature keeps rising 3 degrees every hour. What is the temperature at 1pm?

Answers

Answer:

Step-by-step explanation:8 to 1 pm is 5 hours I think XD so 5 times 3 degrees is 15 so 15 +70 is 85

If x = 3i, y = 2i, and z = m + i, the expression xyz equals
1.) -12-12mi
2.)-6-6mi
3.)12-12mi
4.)6-6mi

Answers

Answer:

Step-by-step explanation:

I am assuming that i = √(-1)

3i*2i*(m + i)

= 6i^2(m + i)

= -6(m+ i)

= -6m - 6i.

Select the correct answer Rita is making a beaded bracelet she has a collection of 160 blue beads 80 gray beads and 240 pink beads what is the estimated probability that Rita will need to pick at least five beads before she picks a gray bead from her collection use a table of randomly generated outcomes to answer the question each letter represents the first letter of the bead color 0.05 0.10 0.45 0.55

Answers

Answer:

the answer is .45 I am assuming

The area of a rectangular field is 8320 square yards . the width is 65 yards . how long is the field? dont forget to include units in your answer!!

Answers

The measure of length of the rectangular field is 128 yards.

Given that, the area of a rectangular field is 8320 square yards. The width is 65 yards.

We need to find measure the length of the rectangular field.

What is the area of a rectangle?

The area of a rectangle (A) is the product of its length 'a' and width or breadth 'b'. So, the area of the rectangle = (a × b) square units.

Now, 8320 = 65 × b

⇒b=128 yards

Therefore, the measure of length of the rectangular field is 128 yards.

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A trawler A is 40km west of another trawler B. A set off at 20kmh travel at 25kmh. What course should trawler B take to intercept trawler A

Answers

Trawler B should take a course that is 18 degrees east of north.

How to explain the angle

In order to intercept Trawler A, Trawler B must travel in a direction that will bring it closer to Trawler A. Since Trawler A is traveling due west, Trawler B must travel in a direction that is east of north. The angle that is 18 degrees east of north will bring Trawler B closest to Trawler A.

Here are the steps to find the course that Trawler B should take:

Draw a diagram of the situation.

Label the two trawlers A and B.

Draw a line representing the direction that Trawler A is traveling.

Draw a line representing the direction that Trawler B should travel.

Measure the angle between the two lines.

The angle between the two lines will be 18 degrees. Therefore, Trawler B should take a course that is 18 degrees east of north.

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144 out of 600 students took Business Mathematics. What percent of students did not take the course?

Pls help fast

Answers

Answer:

0.24 plssssssssss give brainliest

Step-by-step explanation:

144/600 = 0.24

144/600 = .24
so 24 present of students didn’t take the course:)

Could someone’s please help me on geometry?

Answers

Answer:

Step-by-step explanation:

Length: answer 25.456

Surface Area: 2457.4

Volume: 6107

Radius: sorry can't help but i hope the rest helps :))))

(a) SINGLE person (including head of household)
If the amount of wagon (after
subtracting withholding allowancos) The amount of income tax
to withholdie
Not over $42
SO
Over
But not over
of excess over
$42
-$214 50.00 plus 10%
$42
5214 -5750 517 20 plus 15%
-5214
S739
-51,732 505.95 plus 25%
-S739
$1,732 -53,565 5344.20 plus 20%
-51.732
$3,586 -57,703 $85772 plus 33%
$3,586
57.700 -57,735 $2,222.93 plus 35% -57,703
S7735
52,234.13 plus 30.8% ---37,735
Paul, a successful executive chef at an exclusive restaurant, earns $2,250 each week. Based on the table, calculate the income tax
withheld each week from Paul's paycheck.
A)
$344.20
B)
$473.70
$489.24
D)
597420

Answers

I would say be to to the fact it a single person in a household

Prove that the quadratic Sequence 44:52:64; 80: will always have even terms

Answers

The sequence is will always have even numbers, is hence proved.

Given, the quadratic sequence is: 44:52:64:80

Sequences with a term are known as quadratic sequences. They can be distinguished by the fact that the first differences between terms are not equal but the second differences between terms are. Utilizing the term sum in an arithmetic progression formula, the sum of even numbers formula is achieved. The equation is Sum of Even Numbers Formula = n(n+1), where n is the total number of terms in the series.

The formula is: Tₙ = 2n² ₊ 2n ₊ 40

take 2 common

Tₙ = 2(n² ₊ n ₊ 20)

in other words n² ₊ n ₊ 20 = y

therefore , Tₙ = 2y

which by definition makes Tₙ an even number at all times.

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Is this statement always true, sometimes true, or never true: Whole numbers are integers.
1. Always True
2. Sometimes True
3. Never True

Answers

Answer: Always true

Step-by-step explanation:

Whole numbers including 0 are always integers

9y+y combine the like terms to create an equivalent expression

Answers

Answer:

10y

Step-by-step explanation:

9y+y=10y

If you set y to a value such as 2, you'd get:

18+2=20 which means 10y is correct.

The equivalent expression after combining the like terms in 9y + y is 10y.

To combine the like terms in the expression 9y + y, we add the coefficients of the like terms, which in this case is y.

The coefficients of the like terms are 9 and 1, so when we combine them, we get:

9y + y = (9 + 1)y

Simplifying the addition:

9y + y = 10y

In the expression 9y + y, both terms have the variable y, so we can add their coefficients to obtain the simplified expression 10y.

This means that the expression represents ten times the value of y.

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Pythagorean Theorem is what this is on

Answers

Answer:

Not sure what the question is but the equation would be

$c^{2} = a^{2} + b^{2}$

$28^{2} = 20^{2} + b^{2}$

and to find the missing side

784 = 400 + $b^{2}$

b= 19.6

The missing side would be 19.6

Answer:

19.6

Step-by-step explanation:

u see this is how the Pythagorean theorem works a^2 + b^2 = c^ i hope this helps have a great day bye please mark as brainliest :D

Solve for x.
-15x + 60 ≤ 105 AND 14x + 11 ≤ -31
Choose 1 answer:
A. x ≤ -3
B. x ≥ -3
C. x = -3
D. There are no solutions
E. All values of x are solutions

Answers

Answer:

C. x = -3

Step-by-step explanation:

-15x + 60 <= 105

-15x <= 45

-x <= 3

x >= -3

14x + 11 <= -31

14x <= -42

x <= -3

the only solution that is in both solution areas is x = -3.

for all other values of x we violate one of the 2 conditions.

Which best describes the solutions to the inequality x greater than 10?

Answers

Answer: x>10

Step-by-step explanation:

I don't know what this is asking but the inequality x greater than 10 is simplified as x>10

x2−5x+8 if x=3 plz help

Answers

Answer:

Step-by-step explanation:

if its x to the second power:

(3)^2-5(3)+8= 9-15+8=17-15=2

if it is 2x

2(3)-5(3)+8=6-15+8 =-1

A group of 40 children attend a baseball game on a field trip. Each child received either a hot dog or a bag of popcorn. The hot dogs were $2.25 and the popcorn was $1.75. If the total bill was $83.50, how many of each were bought?

Answers

Answer:

26 hotdogs and 14 popcorn

Step-by-step explanation:

Convert the following polar-form vectors of the form ⟨r,θ⟩ into component-form vectors of the form ⟨x,y⟩. Your answers should be in the form "< #, # >". ⟨13,50∘⟩= ⟨1.77,250∘⟩= ⟨5.8,150∘⟩=

Answers

9514 1404 393

Answer:

a) <8.356, 9.959>

b) <-0.605, -1.663>

c) <-5.023, 2.9>

Step-by-step explanation:

Many calculators can perform polar ⇔ rectangular conversion. Attached is the result from one of them. Of course, you can also program a spreadsheet to do it. (The ATAN2( ) function is useful for finding the correct angle.)

If you want to do these calculations by hand, the conversion is ...

<r, θ> ⇒ <r·cos(θ), r·sin(θ)>

In the attached, the rectangular coordinates are shown as complex numbers. The imaginary component is the y-component of the vector.

Use the unit circle to find tan 30

Answers

Answer:

√3/3

Step-by-step explanation:

Memorize your unit circle.

30° is π/6 rad

tan(π/6) = √3/3

Find the height of the tower using the information given in the illustration.

Answers

using SOH CAH TOA

Tan 85.144 =h/130

h=tan 85.144*130

h=1530.19 fr

In November, Hilary drove 580 miles in her car. The car travelled 33.5 miles for each gallon of petrol used. Petrol cost 1.09 per litre. 1 gallon = 4.55 litres. Work out the cost of the petrol the car used in November.

Answers

Answer:The cost of petrol used in November is £86

Step-by-step explanation:

Here, we are interested in calculating the cost of the petrol the car used in the month of November.

We proceed as follows;

Total miles driven = 580 miles

Now, on a gallon of petrol, the car will travel 33.5 miles

Thus, the amount of gallon of petrol

used for 580 miles will be 580/33.5

Let’s convert this to liters

Since 1 gallon is 4.55 liters, 580/33.5 gallons will be 580/33.5 * 4.55 = 78.78 liters

now the cost of 1 liter is 1.09, the cost of 78.78 will be 78.78 * 1.09 = 85.87

To the nearest pounds, we have the cost as £86.

To copy an angle using only a compass and a straightedge begin by marking the angle. Then draw a ray from the vertex which will be one of the legs of the new angle. What is the next step in the construction

Answers

Next step is to Mark off your new arc with this new width by positioning the compass point on the reference line where the previous arc crossed it.

Steps to be followed while measuring an exact angle using compass and straight edge are:

If a reference line is not given, draw one using a straightedge.Add a dot as the reference line's starting point.Position the compass's point at the vertex of the ABC angle (vertex at point

Swing the arc so that the pencil crosses BOTH rays (sides) of the angle. Holding the compass point at the starting point (dot) on the reference line, swing an arc that will cross the reference line and rise above the reference line without adjusting the compass's size. Return to the supplied angle ABC and determine the span (width) of the arc between the points at which it crosses one side of the angle and the other. Mark off your new arc with this new width by positioning the compass point on the reference line where the previous arc crossed it. Join this new intersection point to the reference line's starting point. Mark the duplicate.

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What is the fraction form of Sin 50° ÷ Sin 30°

Answers

Answer:

my insta is _luhbhabie_

Step-by-step explanation:

What is the value of x in this proportion?

56=−4x+2

Responses

x=−2 4/5
x equals negative 2 and 4 over 5

x=−4 2/5
x equals negative 4 and 2 over 5

x=−5 1/5
x equals negative 5 and 1 over 5

x=−6 4/5
x equals negative 6 and 4 over 5

Answers

The value of x or the expression 56 = -4x + 2 is -27/2.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

56 = -4x + 2

Solve for x.

56 = -4x + 2

Subtract 2 on both sides.

56 - 2 = -4x

54 = -4x

Divide -4 into both sides.

-54/4 = x

x = -54/4

x = -27/2

x = -13(1/2)

Thus,

The value of x is -27/2.

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How many ways are there to place 3 indistinguishable red chips, 3 indistinguishable blue chips, and 3 indistinguishable green chips in the squares of a 3 x 3 grid so that no two chips of the same color are directly adjacent to each other, either vertically or horizontally?
A. 12,
B. 18,
C. 24,
D. 30 ,
E. 36

Answers

Answer:

E. 36

Step-by-step explanation:

Let:

$C_1 =$ color 1

$C_2 =$ color 2

$C_3 =$ color 3

Case I

C₂ C₃ C₂

C₃ C₁ C₃

C₁ C₂ C₁

Since C₁ has 3 choices, then C₂ has 2 choices and C₁ has 1 choice