denise is using a ladder to clean the outside of her second story windows. the ladder she is using is 24 feet long and she puts the base of the ladder 13 feet away from the house in order to avoid her flower gardens. how high up the side of her house does the ladder reach? round to the nearest tenth, if necessary

Answers

Answer 1

Answer:

20.2 ft

Step-by-step explanation:

First, always draw a diagram to help you solve the problem. (See the picture below). The situation forms a right triangle. We can assume the ground and the house and perpendicular, creating the 90° angle. The ladder is the hypotenuse.

Since we have a right triangle, and we have one missing side, we can solve the problem using the Pythagorean Theorem, which is a² + b² = c². "a" and "b" are the perpendicular sides and the "c" is the hypotenuse.

Assign a variable for the missing side (not the hypotenuse!)

let "b" represent the height the ladder reaches on the house

Use the formula and substitute the other known values. Then, isolate 'b' to solve by doing the reverse operations in the reverse order of BEDMAS.

a² + b² = c²

13² + b² = 24²        Substitute the two known sides.

13² - 13² + b² = 24² - 13²        Subtract 13² from both sides

b² = 24² - 13²        Cancelled out positive 13² on the left side

√b² = √(24² - 13²)        Square root both sides

b = √(24² - 13²)        "b" is isolated because √ and ² are reverse operations

b = √(576  - 169)        Square the numbers inside the bracket. Subtract.

b = √407        Find the square root

b = 20.174241        Round this number to nearest tenth

b ≈ 20.2        Answer in feet units

Remember when rounding, you round either up or down depending on the digit to the right of what you are rounding to.

"The nearest tenth" is rounding to the first decimal. To the right of the first decimal is '7'. Since '7' is "5 or greater" you round up. If '7' was "4 or less", you would round down.

Therefore, the ladder reaches 20.2 feet up the side of the house.

Denise Is Using A Ladder To Clean The Outside Of Her Second Story Windows. The Ladder She Is Using Is
Answer 2

Using the Pythagorean theorem, we find that the ladder reaches approximately 20.2 feet up the side of Denise's house when the base is placed 13 feet away from the building.

Denise is using a 24-feet long ladder and placing the base of the ladder 13 feet away from her house. To calculate how high up the side of her house the ladder reaches, we can use the Pythagorean theorem. This theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this scenario, the hypotenuse is the ladder, one side is the distance from the house, and the other side is the height the ladder reaches up the house.

To find the height (h), we can set up the equation: h^2 + 13^2 = 24^2. Calculating further, we get h^2 = 24^2 - 13^2, which simplifies to h^2 = 576 - 169. This gives us h^2 = 407. Taking the square root of both sides, we find that h is approximately 20.2 feet when rounded to the nearest tenth.


Related Questions

A cleaning solution contains 60% water. How much water is in a 32 oz container of cleaning solution? ​

Answers

Answer:

19.2 oz water

Step-by-step explanation:

32 oz times 60%

32

x .6

19.2

reduce the fraction 34/48 to its lowest term

Answers

Answer: 17/24

Step-by-step explanation: To write the fraction 34/48 in lowest terms, we divide the numerator and the denominator by the greatest common factor of 34 and 48.

Since the factors of 34 are 1, 2, 17, 34 and the factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48, the greatest common factor of 34 and 48 is 2.

So we divide the numerator and the denominator of 34/48 by 2.

34 divided by 2 is 17 and 48 divided by 2 is 24.

So 34/48 written in lowest terms is 17/24.

100 POINTS!!! will give BRAINLIEST to the person who does all 3 correctly! With explanation!

Answers

Answer:

Option A, %29.2

Step-by-step explanation:

Step 1:  Find the total fixed expenses

150 + 30

180

Step 2:  Find the percentage

180 / 617

0.2917... * 100

%29.17

%29.2

Answer:  Option A, %29.2

Answer:

29.2%

Step-by-step explanation:

The fixed expenses are rent and the emergency fund

150+30 =180

The total income is 617

The percent is fixed expenses/income

180/617

.291734198

Multiply by 100% to change from decimal from to percent

29.1734198%

Rounding to the nearest tenth

29.2%

Mercedes had 6 2/3 cups of flour. She used 3 1/4 cups 0f flour to bake a cake. How much flour does merceded have left?

Answers

Answer:

3 5/12 cups

Step-by-step explanation:

6 2/3 - 3 l/4= 80/3 - 39/4=41/12=3 5/12

Round 234,983.3 to the nearest hundred
Thanks ❤️

Answers

235,000 is rounded to the nearest hundred

What’s the difference from a number chart and a hundred chart

Answers


A numbers chart is a table that lists the numbers in numerical order. A hundreds chart is a 10-by-10 grid with the numbers one to one hundred printed in the squares.

The number chart is when the number line helps with the concept of sequencing, and base-10 blocks reinforce place value

In the hundred chart , it consists of the numbers to 100 in sequential order, with ten numbers per row across ten rows.

What is a Number chart and Hundred chart?

Hundred Chart : A hundreds chart is highly useful for children who are learning to count to 100 and strengthening their numerical fluency. With a hundreds chart, numbers read from left to right in rows of 10, starting from the top left corner with the number 1, all the way down to 100 in the bottom right corner

Number Chart : A table listing numbers in numerical order is known as a numbers chart. The numbers in this arrangement will be 1 through 10 in the first line, 11 through 20 in the second line, 21 through 30 in the third line, and so on. There are various types of specific number charts, such as charts for the hundreds that include the digits 1 through 100.

Given data ,

In the hundred chart , it consists of the numbers to 100 in sequential order, with ten numbers per row across ten rows. The layout allows children to count left to right by ones, and down by tens.

And ,

The number chart is when the number line helps with the concept of sequencing, and base-10 blocks reinforce place value

Types of Number Chart

Even Numbers Chart. An even numbers chart represents all the numbers that are divisible by 2.

Odd Numbers Chart. An odd numbers chart represents all the numbers that are NOT divisible by 2

Prime Numbers Chart

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Find P (Sophomore | Boy)

Answers

Answer:

[tex]$ \textbf{P} \textbf{(Sophomore}\hspace{1mm} | \hspace{1mm} \textbf{Boy)} \hspace{1mm}\textbf{=} \hspace{1mm} \frac{\textbf{5}}{\textbf{12}} $ $[/tex]

Step-by-step explanation:

We are asked to find the probability of picking a Sophomore who is a boy.

There are 5 Sophomores who are boys out of total boys.

[tex]$ \textbf{P(A} | \textbf{B)} \hspace{1mm} \textbf{=} \hspace{1mm} \frac{\textbf{P(A and B)}}{\textbf{P(B)}} $[/tex]

[tex]$ \implies P(Sophomore | Boy) = \frac{P(Sophomore \& Boy)}{P(Boys)} $[/tex]

[tex]$ = \frac{5}{12} $[/tex]

Hence, the answer.

Answer:

The answer is 5 over 12

Step-by-step explanation:

5/12 Fill in 5 then 12

I don’t know Da answer

Answers

I can help you if you need help

A scale measures weight to the nearest 0.1 pounds. Which is the most
appropriate way to report weight using this scale?
O A. 152.2 pounds
O B. 152 pounds
O C. 200 pounds
O D. 152.127 pounds

Answers

Answer:A

Step-by-step explanation:

Which is the equation of the given line in slope-intercept form? y= -1/4 x +1 y= -4x+1 y=4x-1 y=4x=+1

Answers

Answer:

[tex]y=4x+1[/tex]

Step-by-step explanation:

The line is shown in the attachment.

The slope of this line is given by: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

The line passes through (0,1) and (1,5)

Plug in the points to get:

[tex]m=\frac{5-1}{1-0}=4[/tex]

The equation of this line is given by [tex]y=mx +b[/tex], where b=1 is the y-intercept.

From the graph the y-intercept is 1, because the line intersects the y-axis at (0,1).

Therefore the equation is [tex]y=4x+1[/tex]

Complete the sentence to finish the explanation of how you could show that points A, B, and C on the coordinate plane are collinear.

Answers

Answer:

First blank: the equation of the line that passes through A and B

Second blank: is a solution of the equation

Explanation:

Three or more points are collinear if and only if they are on the same line, and, thus they are solutions, of the same equation of the line.

When you know two points through their coordinates you can always find the equation of the line:

Point A (x₁, y₁)Point B (x₂, y₂)

You can find the slope, m, of that line by using the slope formula:

m = rise / run = Δy / Δx = (y₂ - y₁) / (x₂ - x₁)

And then, you apply the point-slope equation:

y - y₁ =  m (x₂ - x₁)

Since you know m, x₁, and y₁, your equation is determined.

Once you have your equation, substitute the x and y coordinates with the coordinates of the point C. If, and only if, the equation is satisfied, the point C is on the same line and the three points are collinear.

how do you write12 minutes to noon digital form​

Answers

Answer:

11:48 AM

Step-by-step explanation:

Answer:

11:48 am

Step-by-step explanation:

not sure if I did this right but 60-12=48. before noon would be am so it would be 11:48 am

sorry if its wrong qwq

Which inequality matches the graph?
A) x > 2
B) x < 2
C) x = 2
D) x ≥ 2

Answers

D is the correct one

Answer:

D

Step-by-step explanation:

Toby wants to find the volume of a solid toy soldier.
He fills a rectangular container 8 cm long, 6 cm wide,
and 10 cm high with water to a depth of 4 cm. Toby
totally submerges the toy soldier in the water. The
height of the water with the submerged toy soldier is
6.6 cm. Which of the following is closest to the
volume, in cubic centimeters, of the toy soldier?​

Answers

Answer:

Toby wants to find the volume of a solid toy soldier.He fills a rectangular container 8 cm long, 6 cm wide,and 10 cm high with water to a depth of 4 cm. Toby totally submerges the toy soldier in the water. The height of the water with the submerged toy soldier is 6.6 cm. Which of the following is closest to the volume, in cubic centimeters, of the toy soldier?

A. 125 B. 156 C. 192 D. 208 E.317

The volume of the toy is 125 cubic cm ,option A is the closest answer.

Step-by-step explanation:

Given:

A rectangular container .

Length of the container =8 cm

Width of the container = 6 cm  

Height of the container when water is filled = [tex](h_1)[/tex] = 4 cm

Height of the container when the toy is submerged = [tex](h_2)[/tex] =6.6 cm

Volume of the toy =  Volume of the container with the toy - Volume of the container (with water)

Volume of the toy = [tex](l\times b\times h_2) - (l\times b\times h_1)[/tex]

                              = [tex](l\times b\times)(h_2-h1)[/tex]

                              = [tex](6\times 8)(6.6-4)[/tex]

                              = [tex]48\times 2.6[/tex]

                              = [tex]124.8[/tex] cubic centimeters.

So,the closest value to the volume of the toy is 125 cubic centimeters.

The closest volume, in cubic centimeters, of the toy soldier is 124.8 cm³.

To find the volume of the toy soldier submerged in water, we can use the following steps:

1. Calculate the initial volume of water in the container: 8 cm x 6 cm x 4 cm = 192 cubic cm.
2. Determine the final volume of water with the toy soldier submerged: 8 cm x 6 cm x 6.6 cm = 316.8 cubic cm.
3. Subtract the initial volume of water from the final volume with the toy soldier submerged: 316.8 cubic cm - 192 cubic cm = 124.8 cubic cm.

Therefore, the closest volume, in cubic centimeters, of the toy soldier is 124.8 cm³.

Sofia places 26 tiles representing each letter of the alphabet into a bag. Five of the tiles represent the vowels A, E, I, O, and U. Sofia will randomly select 1 tile from the bag and without replacement select another tile from the bag. Sofia will draw two tiles from the bag 260 times. What is a reasonable prediction for the number of times Sofia will select a consonant tile and a vowel tile?

Answers

Answer:

42 times.

Step-by-step explanation:

The number of total alphabet = 26 tiles

The number of vowels = 5

The number of consonant = 26 - 5 = 21

Sofia will randomly select 1 tile from the bag and without replacement select another tile from the bag.

The probability to select consonant at first time = 21/26

Total tiles after the first selection = 26 - 1 = 25

The probability to select vowels at second time = 5/25

The probability to select consonant and vowels = [tex]\frac{21}{26} *\frac{5}{25} =\frac{21}{130}[/tex]

Sofia will draw two tiles from the bag 260 times.

The prediction for the number of times Sofia will select a consonant tile and a vowel tile = [tex]\frac{21}{130} *260=42 \ times[/tex]

Attendance at a museum more than tripled this week.last week,186 people went to the museum. Write and inequality to show how many people

Answers

Answer:

Step-by-step explanation: your unknown would be BABY IAN GOT TIME TO ANSWER YO QUESTION?!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

-6+7x=y, what is the y-intercept?

Answers

The y-intercept is -6

21 divided by(3+4) x 9 - 2 Squared

Answers

Answer:625

Step-by-step explanation:21/(3+4)x9-2=25 and 25^2 (squared) is 625

Solve for x in the diagram below.

Answers

Answer:

8x+30°=110°

8x=80°

x=10°

Step-by-step explanation:

because the angles are vertical => they are equal

The icecream parlor has 30 flavors, but for the last week they have only had 25 flavors. Find the percent of change. Tell if it is an increase or decrease.

Answers

Answer:

The percent of change is 20%.

And it is increased by last month.

Step-by-step explanation:

Given:

The ice cream parlor has 30 flavors, but for the last week they have only had 25 flavors.

Now, to find the percent of change.

Flavors ice cream parlor has = 30.

Flavors last week they had = 25.

So, the flavors increased from last week by:

[tex]30-25=5\ flavors.[/tex]

Now, to get the percent of change:

[tex]\frac{5}{25} \times 100[/tex]

[tex]=\frac{500}{25}[/tex]

[tex]=20\%.[/tex]

Thus, the percent of change is 20%.

The flavor is increased by last month.

Therefore, the percent of change is 20%.

And it is increased by last month.

Final answer:

The percent of change is a decrease of 16.67%, calculated by subtracting the new amount of flavors from the original, dividing by the original amount, and multiplying by 100.

Explanation:

To find the percent of change in the number of flavors at the ice cream parlor, we will subtract the original amount of flavors from the new amount, divide that by the original amount, and then multiply by 100. The original amount of flavors was 30, and the new amount is 25. Here is the calculation:

Subtract the new amount from the original amount: 30 - 25 = 5

Divide the change by the original amount: 5 ÷ 30 = 0.1667

Multiply by 100 to get the percent: 0.1667 x 100 = 16.67%

The percent of change is a decrease of 16.67% since the number of flavors went down from 30 to 25.

A car approaches a stop sign going 5 m/s before it comes to a stop. If it does this in 4 seconds, what was

its acceleration?

Answers

Answer:

Acceleration = -1.25 m/s²

Step-by-step explanation:

Given data:

initial velocity = 5 m/s

Final velocity = 0 m/s since the car stopped

change in time = 4 seconds

Acceleration = change in velocity/change in time

Acceleration = (Final velocity - Initial velocity)/time

Acceleration = (0-5)/4

Acceleration = -5/4

Acceleration = -1.25 m/s²

The acceleration in negative since the car was reducing speed to stop, it can also called deceleration.

It travels 10 m and then stops.

Kinematics

It refers to the study of motion.

Given

Initial speed (u) = 5m/s

Time (t) = 4 sec

How to find distance?

We know the equation of motion

[tex]\rm v = u + at\\v^{2}- u^{2} = 2as[/tex]

As final velocity (v) = 0

Then

[tex]v = u +at \\\\0 = 5 + 4a\\\\a= \dfrac{5}{4}[/tex]

then

[tex]\begin{aligned} \rm v^{2}- u^{2} &= 2as \\0^{2} - 5^{2} &= 2*\dfrac{5}{4} *s\\25 &= \dfrac{5}{2}*s \\s &= 10 m\\\end{aligned}[/tex]

Thus, it travels 10 m and then stops.

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Solve the following system. Q
-8x - 8y = 0 and -8x + 2y = -20

Answers

Answer:

x=2 and y=−2

Step-by-step explanation:

I will solve your system by substitution.

−8x−8y=0;−8x+2y=−20

Step: Solve−8x−8y=0for x:

−8x−8y+8y=0+8y(Add 8y to both sides)

−8x=8y

−8x

−8

=

8y

−8

(Divide both sides by -8)

x=−y

Step: Substitute−yforxin−8x+2y=−20:

−8x+2y=−20

−8(−y)+2y=−20

10y=−20(Simplify both sides of the equation)

10y

10

=

−20

10

(Divide both sides by 10)

y=−2

Step: Substitute−2foryinx=−y:

x=−y

x=−(−2)

x=2(Simplify both sides of the equation)

Evaluate the expression below when x=9.5 and y=3. 12x - 3y exponent 2

Answers

Here you goooooooooooo

If you had 26/12 dollars how much money would that be in dollars and cents

Answers

Answer:

$2.17

Step-by-step explanation:

12 goes into 26 2 times.

with 2 left over

2/12 = 1/6

1/6 of a dollar is

divide 100/6 = 16.67

Bill buys a stock that decreases by 20% on the first day, and then on the second day the stock increases by 30% of its value at the end of the first day. What was the overall percent increase in Bill's stock over the two days?
Please answer someone!

Answers

The over all percent increase in Bill's stock over the two days is 4%

Step-by-step explanation:

The given is:

Bill buys a stock that decreases by 20% on the first dayOn the second day the stock increases by 30% of its value at the end of the first day

We need to find what was the overall percent increase in Bill's stock over the two days

Assume that Bill buys the stock by $x

∵ Bill buys the stock by $x

∵ The stock decreases by 20% on the first day

- Find the 20% of x

∵ 20% × x = [tex]\frac{20}{100}[/tex] × x = 0.2 x

∴ The cost at the end of the 1st day = x - 0.2 x = 0.8 x

∵ The stock increases by 30% of its value at the end of the 1st day

- Find the 30% of 0.8 x

∵ 30% × 0.8 x = [tex]\frac{30}{100}[/tex] × 0.8 x = 0.3 × 0.8 x = 0.24 x

∴ The cost at the end of the 2nd day = 0.8 x + 0.24 x = 1.04 x

To find the percentage of increased find the increasing amount and divide it by the original cost, then multiply the quotient by 100%

∵ The increasing amount = 1.04 x - x = 0.04 x

∵ The percentage of increase = [tex]\frac{0.04x}{x}[/tex] × 100%

∴ The percentage of increase = 0.04 × 100% = 4%

The over all percent increase in Bill's stock over the two days is 4%

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Explain what you would do first to simplify the
expression below. Justify why, and then state the
result of performing this step.
12r²4
41
DONE

Answers

PEMDAS you have to simplify the exponent first
Final answer:

First, distinguish the mathematical elements in the expression 12r²4. Multiply the numbers 12 and 4 to give 48, then substitute this value back in to obtain the simplified expression, 48r². The property of multiplication allows this reordering and regrouping without affecting the result.

Explanation:

To simplify the given expression, 12r²4, the first step involves distinguishing the mathematical elements present. In this case, we have multiplication of numbers and a variable. Technically, the expression is equivalent to 12*r^2*4, since there is multiplication between each element.

We proceed with multiplication, starting with the numerical value. In this case, multiply 12 and 4 to get 48. Substitute this resulting value into the expression, yielding 48r². The justification for this operation is the property of multiplication, which is associative and commutative. It allows us to change the order of the numbers being multiplied or group them differently without changing the result.

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Luis is asked to construct a triangle with a 35° angle and a 45 angle How many different triangles could he draw with
these angle measures?

Answers

There is only one unique triangle that can be drawn with a 35° angle and a 45° angle, as the third angle is determined to be 100° to make the sum 180°.

To determine how many different triangles can be constructed with a 35° angle and a 45° angle, we can use the fact that the sum of angles in a triangle is always 180°. Adding the given angles, we get 35° + 45° = 80°. Subtracting this from 180° gives us the third angle, which is 180° - 80° = 100°. Since the sum of the angles is 180° and all angles are determined, there is only one unique triangle that can be drawn with these angle measures

Write the numbers ten to fifteen in descending order and then circle the prime numbers

Answers

Answer:

10

11

12

13

14

15

prime numbers:11,13,15

Answer:

Step-by-step explanation:

15,14,13,12,11,10

a fireman leaned a 36 foot ladder against a building. if he placed the ladder 7 feet from the base of the building what angle is formed between the ladder and the ground

Answers

Answer:

78.79°

Step-by-step explanation:

A fireman placed a ladder of length 36 feet against a building.

Now, if he placed the ladder 7 feet from the base of the building, then the angle formed between the ladder and the ground will be [tex]\theta[/tex] (Say).

Now, the ladder, the base ground and the building forms a right triangle and the ladder is the hypotenuse of the triangle and [tex]\theta[/tex] is the base angle.

So, [tex]\cos\theta = \frac{\textrm {Base length}}{\textrm {Ladder length}} = \frac{7}{36}[/tex]

⇒ [tex]\theta = \cos^{-1}(\frac{7}{36}) = 78.79^{\circ}[/tex] (Answer)

Which graph represents the solution to the given system?
Y=-x+5
y= 1/4 x+10

Answers

Answer:

See attachment

Step-by-step explanation:

The given system is :

[tex]y = - x + 5[/tex]

[tex]y = \frac{1}{4}x + 10[/tex]

Let us equate both equations and solve for x.

[tex] - x + 5 = \frac{1}{4}x + 10[/tex]

[tex] - 4x + 20 = x + 40[/tex]

[tex]20 - 40 =x + 4x[/tex]

[tex] - 20 = 5x[/tex]

[tex]x = - 4[/tex]

[tex]y = - - 4 + 5 = 9[/tex]

The the two lines of this system will meet at (-4,9)

The graph is shown in the attachment.

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Solve each equation below for x show all work and check your answer by substituting it back into the equation and verifying that it makes the equation true Luxury Linens Inc. produces the highest thread-count sheets available anywhere and does so at a price that none of its competitors can duplicate. It can be said that Luxury Linens has a(n) _____. Tustin's Catering began with cash of $15,000. Tustin then bought supplies for $2,300 on account. Separately, Tustin paid $4,700 for equipment.Required:a. How much in total assets does Tustin have?b. How much in liabilities does Tustin owe? the product of a linear monomial and a linear binomial is a Bob bought some land costing $15,390. Today, that same land is valued at $44,817. How long has Bob owned this land if the price of land has been increasing at 5 percent per year? Una argentina te dice: "Voy a usar la cinta". Qu va a hacer? Segn los colombianos, qu efectos negativos tiene el no usar zapatos en casa? Qu es la quinua? Qu protena no contiene la quinua? you will write a blog, in Spanish, about sports and activities that you enjoy. In your response, use the present tense and the vocabulary related to sports and activities that you learned in the lesson. Submit the response to the teacher. Suppose you were assigned the task of choosing a price that maximized economic surplus. What price would you choose? Why? A. Choose a price of zero because that is where consumer surplus (the area under the demand curve and above the price) is maximized. B. Choose a price ceiling below the equilibrium so that consumers won't have to pay too much. C. Choose the price where the quantity demanded equals the quantity supplied because that is the equilibrium condition. D. Choose the price where the quantity supplied is maximized because that is where output is the greatest. E. Choose the highest price possible because that is where producer surplus (the area above the supply curve and below the price) is maximized. Ronald sees that his employer's stock has grown from $20 a share to $60 a share this year, while most stocks have seen only 5% growth. His employer offers to let him convert a large portion of his salary into stock options. What is NOT a valid reason to turn down the stock offer? Select the best answer from the choices provided. A. Stocks with high returns have high volatility, and Ronald's company may not grow further. B. Ronald may be taxed more for capital gains than he would be for employment income. C. Stock options are illiquid, and Ronald may not be able to use them to pay for unexpected bills. D. Ronald would be committing stock fraud if he exercises the options. Dr. Toon asks subjects about their happiness and other positive emotional states. In his research, he noted that some subjects tended to answer in ways they think are more desirable based on social expectations or social values. This tendency is called _______.