A 37-ft ladder leans against a building so that the angle between the ground and the ladder is 73°. How high does the ladder reach up the side of the building?

Answers

Answer 1

Answer:

35.4 ft

Step-by-step explanation:

To solve this problem, we need to represent the statement in the question in a diagram.

Please see attached photo.

In the attached photo, x is the height of the building.

Thus, we can calculate the value of x as shown below:

Angle θ = 73°

Opposite = x

Hypothenus = 37 ft

Using the Sine ratio, the value of x can be obtained as follow:

Sine θ = Opposite /Hypothenus

Sine 73 = x /37

Cross multiply

x = 37 × Sine 73

x = 35.4 ft

Therefore, the ladder reached up to 35.4 ft of building.

A 37-ft Ladder Leans Against A Building So That The Angle Between The Ground And The Ladder Is 73. How

Related Questions

The noontime temperature was 29°F. This was 4°F lower than predicted. Write and solve an equation to determine the predicted noontime temperature

Answers

Answer:

29x-4

Step-by-step explanation:

Use the Distributive Property to multiply 9 and 37 in your head
What is the answer?

Answers

Answer:

270 + 63 = 333

Step-by-step explanation:

If you did it in your head, it would look like this:

9(30) + 9(7)

270 + 63 = 333

look at image. reflection across x=-1 ​

Answers

Answer:

U 0,-2    S -2,-1   T -3 -5  will be the new points

Step-by-step explanation:

The endpoints of EF
are E(1,3) and F(-2,8).
Find EF.

Answers

Answer:

EF = [tex]\sqrt{34}[/tex] ≈ 5.83

Step-by-step explanation:

Calculate EF using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = E(1, 3) and (x₂, y₂ ) = F(- 2, 8)

EF = [tex]\sqrt{(-2-1)^2+(8-3)^2}[/tex]

    = [tex]\sqrt{(-3)^2+5^2}[/tex]

    = [tex]\sqrt{9+25}[/tex]

    = [tex]\sqrt{34}[/tex] ≈ 5.83 ( to 2 dec. places )

A store is having a sale on hats. The sale is buy one hat, get one 50% off. The original price of one hat is $24.98. Cole bought several hats, and the total cost was $99.92 , How many hats did cole buy ?

Answers

Answer:

8 hats

Step-by-step explanation:

1. .50 x 24.98

2. 12.49 x 8

3. solve 12.49 x 8

4. Equals 99.92

Hope this helps you an stay safe:)

4x - 7 = -3x

What is the answer?

Answers

Answer:

x = 1

Step-by-step explanation:

1. Add 3x to both sides of the problem

4x + 3x - 7 = -3x + 3x-3x + 3x cancels out and leaves us with zero7x - 7 = 0

2. Add 7 to both sides

7x (- 7 + 7) = 0 + 7-7 + 7 cancels out7x = 7

3. Divide both sides by 7

7x/7 = 7/7x = 1

To make sure our answer is correct we can plug in 1 to x in the problem

4(1) - 7 = -3(1)4 - 7 = -3 : True

Answer:           x= 7

Step-by-step explanation:

4x-7= -3x      First add -3x on both sides

+3x      +3x

7x  -7 = 0

     +7     +7               add 7 to both sides

7x      = 7  

x = 1               divide both sides by 7

r+(-8) = 10
Can someone help me ?

Answers

this should be the right answer

Jan noticed that she has four times as many dimes as quarters. She has one more nickel than dimes. The
coins totaled $6.00. How many dimes does Jan have?

Answers

Answer:

Jan has 28 dimes.

Step-by-step explanation:

It would take 24 quarters or 60 dimes or 120 nickels to make $6.

So, I simply divided 24 by 3, which is 8 (but I did 7).

7 quarters is 1.75, and 28 dimes make 2.80, and 29 nickels make 1.45

1.75 + 2.80 + 1.45 = $6

David's airplane trip took 3.8 hours. For one-half of that time, the airplane flew at a speed of 680 miles per hour, and for the rest of the time, it flew at a speed of 740 miles per hour. What distance did David travel?

Answers

Answer:

2,698 mi

Step-by-step explanation:

3.8 hr × 1/2 = 1.9 hr

680 mi/hr × 1.9 hr = 1,292 mi

740 mi/hr × 1.9 hr = 1,406 mi

1,292 mi + 1,406 mi = 2,698 mi

Select the product that shows the correct placement of the decimal point
30.76
x 0.08
0 2.4608
0 24.608
X 246.08
2460.8

Answers

Answer:

0 2.4608

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

hope this helps

trust me

Recycled​ CDs, Incorporated, offers a choice of 5 used CDs for ​$23 with each additional CD costing ​$3 Write a cost function for purchasing 5 or more CDs. What will the cost of buying 10 Ds​ be? Let x represent the number of CDs over 5

Answers

Answer:

-f(x)=23+3x

-The cost of buying 10 CDs will be $38.

Step-by-step explanation:

From the information given, the cost function for purchasing 5 or more CDs has to indicate that you would pay 23 plus the result of multiplying 3 for the number of CDs over 5:

f(x)=23+3x, where:

x represents the number of CDs over 5

Using this function you can determine the cost of buying 10 CDs:

x would be equal to 5 that is the number of CDs over 5 when you buy 10 CDs:

10-5= 5

Now, you can replace the value of x:

f(x)=23+(3*5)

f(x)=23+15=38

According to this, the cost of buying 10 CDs will be $38.

How do you add and subtract intergers.

Answers

Answer:

Add a positive integer by moving to the right on the number line.

Subtract an integer by adding its opposite.

Step-by-step explanation:

Step-by-step explanation:

1, Add a positive integer by moving to the right on the number line.

2, Add a negative integer by moving to the left on the number line.

3, Subtract an integer by adding its opposite.

Solve for x: -1 < x + 3 < 5 ​

Answers

Answer:

[tex]x=-4<x<2[/tex]

Step-by-step explanation:

[tex]-1<x+3<5[/tex]

This inequality consists of 3 parts.

To solve this inequality, you will have to add -3 in each part of the inequality.

[tex]1+-3<x+3+-3<5+-3[/tex]

The answer to this is:

[tex]-4<x<2[/tex]

So that means x is equal to

[tex]x=-4<x<2[/tex]

Hope this helps!

how to do this question plz ​

Answers

Answer:

8

Step-by-step explanation:

Gradient = Slope

In y = mx + b

m is the gradient of the straight line

[tex]gradient = 8[/tex]

Two equations are shown. Equation 1: -0.5x-4=1.5 Equation 2: -0.5(x-4)=1.5 Select each statement that must be true. PLZ HELP ME!

Answers

Answer:

Equation 2 is correct

Step-by-step explanation:

Equation 1 is 2, not 1.5

Answer: C and D

Step-by-step explanation:

The value of c in the first one is less then the value of the second one. Also equation 1 equals -11 and equation 2 equals 1 so that’s why it’s c and d.

Sally shot her bow and arrow straight up into the air and she found the maximum height that her arrow reached was 30ft , but she wants to know how long it took to get there , what does she need to find ?

Answers

Answer:

Sally would need two kinematic equations and know the values of gravitational acceleration to obtained the time taken by the arrow to reach maximum height.

Step-by-step explanation:

Sally shot her bow and gravity influences entirely on the motion of the bow, since distances are to small with respect to the radius of the Earth, gravitational acceleration can be considered constant. When arrow reaches maximum arrow, final velocity is zero. In consequence, the position of the arrow can be expressed in terms of the following kinematic equations:

[tex]y - y_{o} = v_{o}\cdot t +\frac{1}{2} \cdot g\cdot t^{2}[/tex]

[tex]0 = v_{o}+g\cdot t[/tex]

Where:

[tex]y_{o}[/tex], [tex]y[/tex] - Initial and final height of the arrow, measured in feet.

[tex]v_{o}[/tex] - Initial velocity, measured in feet per second.

[tex]g[/tex] - Gravitational acceleration, measured in feet per square second.

[tex]t[/tex] - Time, measured in seconds.

In consequence, Sally would need two kinematic equations and know the values of gravitational acceleration to obtained the time taken by the arrow to reach maximum height.

The original price of a pair of shoes is $36.00. Edward buys the shoes for 13% off its original price. Two weeks later Chad buys the same shoes for 29% off its original price. How much more money did Edward spend than Chad on the shoes?

Answers

Answer:

$6.06

Step-by-step explanation:

Edward: 36.00*0.87=31.32

Chad 36.00*0.71=25.25

31.32-25.25=6.06

$6.06

Hope this helps :-)

$6.06 is the answer

Which statement correctly describes the translation of trapezoid P to create the image

Answers

Answer:

C. 8 units to the right and 5 units down

Step-by-step explanation:

Because if we move the trapezoidal to the right 8 times, then 5 units down. It becomes the image need it needs to be.

I hope this helps! I'm sorry if it's wrong.

5y>=75 can someone give me the answer and write how they did it?

Answers

Answer:

The answer is y = 15 (I'm pretty sure)

Step-by-step explanation:

Simplifying

5y = 75

Move all terms containing y to the left, all other terms to the right.

Divide each side by '5'.

y = 15

Simplify

y = 15

Answer:

y≥15

Step-by-step explanation:

5 times 15 = 75 so, y= y≥15

if f(x) = 5x + 40, what is f(x) when x= -5

Answers

All we need to do is substitute and solve:

f(-5) = 5(-5) + 40

f(-5) = -25 + 40

f(-5) = 15

Best of Luck!

A 32 ounce soft drink costs $1.83. Approximately what is the price per ounce

Answers

Step-by-step explanation:

divide 32 by 1.83 to get the answer

the answer is 17.4863387978

round it off

the final answer should be:

17.5 cents

The price per ounce is approximately 5.72 cents per ounce.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given that,

A 32-ounce soft drink costs $1.83.

So,

32 ounce ⇒  $1.83

Divide by 32 into both sides

1 ounce ⇒ 1.83/32

1 ounce ⇒ $0.0571875 = 5.72 cents.

Hence"The price per ounce is approximately 5.72 cents per ounce".

For more information about ratio and proportion,

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What does "when x is an integer" mean?

Answers

Answer:

x = whole-valued numbers without fractions or decimal.

Step-by-step explanation:

An integer in mathematics refers to a whole number that can either be a positive or negative number but without any fractional part. Integers are numbers such as -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 etc.

Hence, when we say "x" is an integer, it simply means that the value of x should be a whole number that can either be a positive or negative number but without any fractional or decimal value or part.

In Mathematics, when solving for an unspecified or unknown integer we can use a lowercase alphabet "x" to denote the integer.

For instance;

2x + 5 = 11

2x = 11 - 5

2x = 6

Dividing both sides by 2, we have;

x = 3.

Use the number line to determine which of the following statements is true. Each tick is 1 unit. The quotient of P and S is positive. The absolute values of Q and R are the same. Q and S are opposite numbers. The product of R and S is negative.

Answers

Answer:

The absolute values of Q and R are the same

Step-by-step explanation:

Hope this helps! I had the same question lol

The absolute values of Q and R are the same option (B) is correct after applying the arithmetic operation.

What are arithmetic operations?

The study of numbers and their operations, which are relevant to all other fields of mathematics, is part of the discipline of arithmetic operations. Addition, subtraction, multiplication, and division are the basic operations that make up this system.

It is given that:

A number line is shown in the picture.

From the number line:

= 4/2=2

The absolute values of Q and R are the same.

Thus, the absolute values of Q and R are the same option (B) is correct after applying the arithmetic operation.

Use the number line to determine which of the following statements is true. Each tick is 1 unit.

The quotient of P and S is positive.

The product of R and S is negative.

The absolute values of Q and R are the same.

Q and S are opposite numbers.

Learn more about the arithmetic operations here,

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|-6| = -|6| Are they equal to each other of which one has more value ?

Answers

Answer:

no. |-6| is +

Step-by-step explanation:

whenever a number has the symbol in the box, it makes it positive no matter what. -|6| = -6 while |-6| = +6

Answer:

|-6| has more value than -|6|

Step-by-step explanation:

|-6| = -|6| are not equal

|-6| = 6 absolute value of a number is positive no matter what is the sign

-|6| = -6 because the minus is out the absolute sign

composite numbers greater than 10 but less than 20

Answers

Answer:

10, 12, 14, 15, 16,18,20

Step-by-step explanation:

A composite number is a positive integer. which is not prime (i.e., which has factors other than 1 and itself)

Hav a nice day

Happy if i get brainliest

The composite numbers greater than 10 but less than 20 will be 10, 12, 14, 15, and 16,18,20.

What is the number?

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

It is given that, composite numbers must be greater than 10 but less than 20

An integer that is positive and not prime is a composite number. The first few composite numbers are 4, 6, 8, 9, 10, 12, 14, and 15 commonly abbreviated as "composites"

In all areas of mathematics, including shape, measurement, quantifying quantities of objects, and computation, composite numbers are applied.

To put it simply, odd composite numbers are all odd numbers that are not prime numbers. For illustration, use 9, 15, 21, etc.

Thus, the composite numbers greater than 10 but less than 20 will be 10, 12, 14, 15, and 16,18,20.

Learn more about the number here:

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What is commutative property

Answers


Commutative property of addition:

The property that states the sum of an addition problem will be the same no matter the order of its numbers.
a + b = b + a

Someone please help me! I only have one attempt left.

Answers

Answer:

x=18

Step-by-step explanation:

10x-4+x-14=180

11x-18=180

11x=180+18

11x=198

x=[tex]\frac{198}{11}[/tex]

x=18

Answer:

x = 18

Step-by-step explanation:

(10x -4) + (x-14) = 180 (for linear pair)

<=> 10x + x - 4 - 14 = 180

<=> 11x - 18 = 180

<=> 11x = 180+18 = 18 . 10 + 18 = 18 . 11

<=> x = 18

1. In the expression 9x-11.9 is a coefficient

Answers

Answer:

9 is a coefficient

Step-by-step explanation:

9x-11.9

A coefficient is the number in front of the variable

9 is a coefficient and -11.9 is a constant

7. If f(x) = x2 – 3x, what is f(5)?
a. 4
b. 8
C. 10
d. 16

Answers

The answer is 10, so it would be C

Answer: C

Step-by-step explanation:

this is only the answer if the x is squared

plug 5 in for x

(5)^2-3(5)

25-15= 10

Find negative square root of 36.

Answers

Answer:

The positive and negative square roots of 36 are 6 and −6 .

root of -36=-6

root of 36=6

plZz mark brainliest

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