A fire truck parks 16 feet away from a building. The fire truck extends its ladder 30 feet to the very top of the building. How tall is the building?

Answers

Answer 1

The height of the building is 25.38 feet

Explanation:

Let AB denotes the height of the building.

Let BC denotes the distance between the fire truck and the building.

Let AC denotes the length of the ladder.

Using the Pythagorean theorem, we have,

[tex]AC^2=AB^2+BC^2[/tex]

where AC = 30, BC = 16

Substituting the values, we have,

[tex]30^2=AB^2+16^2[/tex]

Simplifying the terms, we get,

[tex]900=AB^2+256[/tex]

Subtracting both sides by 256, we get,

[tex]644=AB^2[/tex]

Taking square root on both sides of the equation, we get,

[tex]\sqrt{644}=AB[/tex]

[tex]25.38=AB[/tex]

Thus, the height of the building is 25.38 feet

Answer 2

Answer:

Step-by-step explanation:

a fire truck parks 16ft away fromm a building. the truck extends its ladder 30 feet. how far up the building from the trucks roof does the ladder reach


Related Questions

PLEASE ANSWERRRR

What type of association does this graph have?

A. Positive
B. None
C. Negative
D. All of the above

Answers

Answer:

positive

Step-by-step explanation:

If the variables tend to increase and decrease together, the association is positive.

hope this helps :)

Positive. Numbers increase.

Mr. Thompson got some money for his birthday He spent 1/5 of it on dog treats. Then, he divided the remainder among his 3 favorite charities.
If he donated $60 to each charity, how much money did he receive for his birthday?

Answers

Answer:

$225 of birthday money

Step-by-step explanation:

he spent 20 percent (1/5) of the money on dog treats, and the remaining 80 percent (4/5) went to 3 different charities. If $60 dollars were given to each charity, that means a total of $180 dollars was given to charity. if 4/5 of the money is equal to $180, we can divide 180 by 4 to get $45 dollars. this means that 1/5 of the birthday money would be equal to $45 dollars. so to find 5/5, or 100% of the money, simply multiply $45 by the denominator, 5, to get the answer. the total birthday money received was $225 dollars, and $45 dollars of that was used for dog treats.

The amount of money Mr. Thompson received for his birthday, work backwards from how much he donated to charities after spending 1/5 on dog treats, resulting in $300.

To find out how much money Mr. Thompson received for his birthday, we will work backwards from the information given.

Let's assume he received x amount of money for his birthday.

He spent 1/5 of it on dog treats, so he spent (1/5)x on dog treats.

The remainder after buying the dog treats is (4/5)x.

Since he divided this among 3 charities, each charity received $60, so [tex](\frac{4}{5} )x = 3*60.[/tex]

Solving this equation, we find x = $300.

Hence, Mr. Thompson received $300 for his birthday.

What is the range of y = –5sin(x)? all real numbers Negative 5 less-than-or-equal-to y less-than-or-equal-to 5 all real numbers Negative five-halves less-than-or-equal-to y less-than-or-equal-to five-halves all real numbers Negative 1 less-than-or-equal-to y less-than-or-equal-to 1 all real numbers Negative one-fifth less-than-or-equal-to y less-than-or-equal-to one-fifth

Answers

Answer:

The range of given function is

[tex][-5,5][/tex]    

Step-by-step explanation:

We are given the function:

[tex]y = -5\sin(x)[/tex]

We have to find the range of the given function.

Range of function

Range is the collection of all possible values of y for the domain of function.

Range of basic sine function is

[tex]-1\leq \sin(x) \leq 1[/tex]

Multiplying the range by -5

[tex]5\geq -5\sin(x) \geq -5[/tex]

Thus, the range of given function is

[tex]-5\leq -5\sin(x) \leq 5[/tex]

[tex]-5\leq y\leq 5[/tex]

Thus, the range of given function is

[tex][-5,5][/tex]

The attached image shows the graph for the given function.

All real numbers {y | − 5 ≤ y ≤ 5 }

Step-by-step explanation:

What is the value of x?

Answers

The value of x is 3.

Solution:

In the given triangle, a = 4, b = 3, x = ? and y = 2.25.

To find the value of x:

The image of the formula is attached below.

Angle bisector theorem:

An angle bisector of a triangle divides the interior angle's opposite side into two segments that are proportional to the other two sides of the triangle.

[tex]$\frac{a}{b}=\frac{x}{y}[/tex]

[tex]$\frac{4}{3} =\frac{x}{2.25}[/tex]

Do cross multiplication.

9 = 3x

Divide by 3 on both sides,

3 = x

Switch the sides.

x = 3

The value of x is 3.

Greatest common factor 16, and 24

Answers

Answer:

The answer is 8. :D Hope this helps!

Explanation Edit: The greatest common factor is 8. Out of all the like terms, 1, 2, 4, and 8, 8 is the greatest. The greatest term is 8 = The greatest common factor. 8 is the greatest common factor.

[tex]\large\text{Hey there!}[/tex]

[tex]\large\text{Greatest common factor (GCF) of 16 \& 24}[/tex]

[tex]\large\text{16: 1, 2 , 4 , 8 , \& 16}[/tex]

[tex]\large\text{24: 1 , 2 , 3 , 4 , 6 , 8 , 12 , \& 24}[/tex]

[tex]\large\text{Like terms of both of your numbers: 1, 2, 4, \& 8}[/tex]

[tex]\large\text{The GREATEST out of like terms is: 8}[/tex]

[tex]\boxed{\boxed{\large\text{Thus, your answer is :\boxed{\large\text{\bf{Your Greatest Common Factor is: \underline{8}}}}}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]

I need help with this question please
ANSWER ASAP!!!!

Answers

Answer:

256 to the 2nd power

Step-by-step explanation: you see 4 tothe 4th power right. your going to multiply 4x4 4 times. The answer is 256 and you add the 2 above it.Got it

Trina's car uses 12 gallons of gas to travel 144 miles. If she has 6 gallons of gas in the tank, how much more gas will she need to drive 240 miles?

Answers

Answer:

34

Step-by-step explanation:

ok so first you need to divide 144 by 12 = 12

then you need to figure if you split that in half it equals 6.

now we know that for every 12 miles you drive, you need 1 gallon of gas

now you need to divide 240 by 6 = 40

so you will need 40 gallons of gas to drive that far

we are not one yet, then you need to take away 6 from 40 witch comes to 34.

so you will need 34 more gallons of gas

please give brainleist!!!!

Answer:

Same Gas

Step-by-step explanation:

Consider the following equation f(x)=(x^2+4)/(4x^2-4x-8)

Answers

Question:

Consider the following equation: f(x)=x^2+4\4x^2-4x-8 name the vertical asymptote(s)

Answer:

The vertical asymptotes are x = 2 or x = -1

Solution:

Given that,

[tex]f(x)=\frac{x^2+4}{4x^2-4x-8}[/tex]

For vertical asymptotes, set the denominator to zero and then solve the quadratic equation

[tex]4x^2-4x-8=0\\\\Divide\ by\ 2\\\\x^2 - 2x - 4 = 0[/tex]

[tex]Split\ the\ middle\ term\\\\x^2+x-2x-2=0\\\\Group\ the\ equation\\\\(x^2 + x) - (2x + 2) = 0\\\\Factor\ the\ common\ term\\\\x(x + 1) - 2(x + 1) = 0\\\\(x + 1)(x - 2) = 0\\\\Therefore,\\\\x + 1 = 0\\\\x = -1\\\\And\\\\x - 2 = 0\\\\x = 2[/tex]

Thus the vertical asymptotes are x = - 1 and x = 2

Answer: x=-1 and x=2 because (this is where the function is undefined) name of horizontal asymptote (y=1/4) because (m=n)

Step-by-step explanation: on edge

3a^2 (ab^2+b^2)=
How much

Answers

Answer is 3a²b (a + b)

Step-by-step explanation:

Step 1: Find 3a² (ab²+b²)

⇒ 3a² (ab²+b²) = 3a³b + 3a²b² = 3a²b (a + b)

Write 6-1 as a fraction.​

Answers

Answer: 5/1

Step-by-step explanation:

6-1=5

put that under 1 to make the fraction 5/1

I'm unsure if this is correct, but I assume the answer shall be:

6-1/1, Both numbers are whole numbers. So, as a fraction, whole numbers are put over 1. So 6 minus 1 over 1. (Sorry if this is incorrect.)

5x-2y=30 complete the missing value in the solution to the question (8, )

Answers

Answer:

(8,5)

Step-by-step explanation:

5x-2y=30

lets substitute "8" as x and see where that takes us

5(8)-2y=30

40-2y=30

subtract 40 on both sides

-2y=-10

divide by "-2" on both sides

y=5

(8,5) is your answer

Answer:

asd

Step-by-step explanation:

Find the least common multiple of these two expressions.
4v^7 w^5 and 10v^2w^4y^8

Answers

Answer:

20v^7w^5y^8.

Step-by-step explanation:

The LCM of 4 and 10 is 20.

of v^7 and v^2 is v^7

of w^5 and w^4 is w^5

So the answer is 20v^7w^5y^8.

how do you turn 245/360 into a decimal

Answers

Answer:

0.53

Step-by-step explanation:

If you want to make it simpler you can simplify it.

To make our lives more simpler lets use that route.

[tex]\frac{245}{360} =\frac{49}{75}[/tex]

Now you would divide:

0.53...

So, 0.53

Hope this helped!

A cyclist can cover a distance of 18 miles in 45 minute. How many miles the cyclist can cover in 6 hours?

Answers

First, lets find how many miles the cyclist can ride per minute (speed = distance/time).

18/45 = 0.4 miles per minutes

Second, lets find how many miles the cyclist can ride per hour.

0.4 * 60 = 24 miles per hour

Third, lets find how many miles teh cyclist can ride in 6 hours.

24 * 6 = 144 miles in 6 hours

Best of Luck!


A = {1,4,5,7}
B = {1,7,9,12}
Find A ∩ B.

A) {1,4,5,7,9,12}
B) {1,7}
C) {1}
D) {7}

Answers

Answer:

B)

Step-by-step explanation:

A ∩ B means all the elements that appear in both of the groups

therefore:

1 nad 7 appear in both

the correct answer is B) 1 and 7

Answer:

pretty sure it A many people said B was wrong

Step-by-step explanation:

Will give brainlest
g(-5)=?

Answers

Answer:

-6

Step-by-step explanation:

g(-5) is the value of function g at x value -5

the graph shows the point (-5,-6), so g(-5)=-6

Answer:

-6

Step-by-step explanation:

Ma ktoś zadania od matematyki klasa 6 matematyka z kluczem część 2 ?? Podaję strony. 45,46,56,62,63 i 64 . Wszystkie zadania z tych stron

Answers

Answer: kluczem część 3

Step-by-step explanation:

zadania z tych stron 4

In the figure below, \overline{AD} AD start overline, A, D, end overline and \overline{BE} BE start overline, B, E, end overline are diameters of circle PPP. What is the arc measure of \stackrel{\LARGE{\frown}}{CD} CD ⌢ C, D, start superscript, \frown, end superscript in degrees? ^\circ ∘ degrees

Answers

Answer:

The measure of the arc CD = 64°

Step-by-step explanation:

It is required to find the measure of the arc CD in degrees.

So, as shown at the graph

BE and AD are are diameters of circle P

And ∠APE is a right angle ⇒ ∠APE = 90°

So, BE⊥AD

And so, ∠BPE = 90° ⇒(1)

But it is given: ∠BPE = (33k-9)° ⇒(2)

From (1) and (2)

∴ 33k - 9 = 90

∴ 33k = 90 + 9 = 99

∴ k = 99/33 = 3

The measure of the arc CD = ∠CPD = 20k + 4

By substitution with k

∴ The measure of the arc CD = 20*3 + 4 = 60 + 4 = 64°

Please help this is hard

Answers

Answer:

x = 10

Step-by-step explanation:

130 = 8x + 50

Step 1:  Solve for x

130 - 50 = 8x + 50 - 50

80 / 8 = 8x / 8

10 = x

Answer:  x = 10

Answer:

x=10

Step-by-step explanation:

8x+50=130

8x=80

x=10

What is the answer to 1.5=0.6(w+0.4)

Answers

Answer:

W= 2.1

Step-by-step explanation:

The solution to the equation 1.5 = 0.6( w + 0.4 ) is w = 2.1.

What is the solution to the given equation?

Given the equation in the question:

1.5 = 0.6( w + 0.4 )

To solve the equation 1.5 = 0.6(w + 0.4) for "w," first apply distributive property:

1.5 = 0.6( w + 0.4 )

Distribute 0.6 on the right side of the equation:

1.5 = 0.6(w) + 0.6(0.4)

Simplifying, we get:

1.5 = 0.6w + 0.24

Subtract 0.24 from both sides of the equation:

1.5 - 0.24 = 0.6w + 0.24 - 0.24

1.5 - 0.24 = 0.6w

1.26 = 0.6w

0.6w = 1.26

To solve for "w", divide both sides by 0.6:

0.6w / 0.6 = 1.26 / 0.6

w = 1.26 / 0.6

w = 2.1

Therefore, the value of w is 2.1.

Learn more about equations here: brainly.com/question/14686792

#SPJ

ILL GIVE BRAINLIST!!!! must explain!!!

Answers

This is a dilation so 4/2 = 5/x = (y+1)/3
Then x = 5/2 =2.5
Y+1=6 so y =5

Answer:

x = 2.5 y = 5

Step-by-step explanation:

Image and pre image are similar figures

4/2 = 5/x

x = 5/2 = 2.5

4/2 = (y+1)/3

6 = y+1

y = 5

The width of a rectangle is 4x - 4.25 feet and the length is 7x + 7 feet. Write and
expression to find the perimeter of the rectangle.

Answers

Perimeter is 2l+2w in the case of a rectangle, so you would write:

2(4x - 4.25) + 2(7x +7)

Answer: The expression can be written as Perimeter = 22x + 5.5

Step-by-step explanation: The perimeter of a rectangle is given as 2(L + W), where L is the length and W is the width. In the question, the length L has been given as 7x + 7 while the width W has been given as 4x - 4.25.

Inserting the values of the length and the width, the perimeter can now be properly written as,

Perimeter = 2(L + W)

Perimeter = 2( {7x + 7} + {4x - 4.25} )

By collecting like terms we now have

Perimeter = 2(11x + 2.75)

Perimeter = 22x + 5.5

Explain using coordinate geometry, why the figure below is a rectangle.

Answers

Answer:

it is a rectangle because the shape has to coordinating sides and the y values on the top points are the same and that y values on the bottom points are also the same.

Step-by-step explanation:

hope this helps have a wonderful day

Which type of sequence is shown ?
-2,0,2,4,6

Answers

a linear function because it has a constant rate of change (CROC)

Answer:

D arithmetc

Step-by-step explanation:

i think

I need help with this IXL for my homework! Please help ASAP!! I'll mark BRAINLIEST if its right!

Answers

The 1 copy makes the cost equivalent in two options and the cost of 1 copy is $41.

Step-by-step explanation:

The given information are that,

Elsa could use a printer in which it cost a $38 setup fee and $3 for each copy.

Elsa could go to a supply store in which it cost $36 up-front fee and $5 for each copy.

To find the same amount for certain number of copies in both the cases :

Let us assume that the number of copies be 'x'.

In the first case, the total cost will be = setup fee + cost for x copies.

Total cost = 38 + 3x

In the second case, the total cost will be = up-front fee + cost for x copies.

Total cost = 36 + 5x

To find the x value :

Equating the total cost of both the cases, we get

38 + 3x = 36 + 5x

⇒ 38-36 = 5x-3x

⇒ 2 = 2x

x = 1 copy

Therefore, taking 1 copy make the two options equivalent in terms of cost.

The cost of 1 copy = 38+ 3(1) = 41 dollars.

Therefore, it would cost $41 for 1 copy.

{PLEASE ANSWER QUICKLY!}
Graph y=  –7/3x+2 .

Answers

Answer:

graph is linked!

hope this helps :)

Find the equation of a line that passes through the point
(0,7) with a slope that is the opposite of the slope of the
line with equation y = -x -5.

Answers

Answer:

y=x+7

Step-by-step explanation:

y-7=1(x-0)

y-7=x-0

y=x+7

Answer:

y=x+7

Step-by-step explanation:

You need a slope that is opposite the slope of equation y=-x-5. To do this you need to find the opposite reciprocal. For -1, the opposite reciprocal would be 1. So, your slope is going to be 1.

You need the line to pass through (0,7), which is a point on the y axis. b in y=mx+b is the y-intercept. So, you would make 7 your b.

By plugging in these numbers you end up with y = x + 7

8 g + 10 = 35 + 3 g

Answers

Answer:

g = 5

Step-by-step explanation:

8 g + 10 = 35 + 3 g

in order to get the value of g, firt of all rearrange the expression or in ither words collect the like terms.

8 g + 10 = 35 + 3 g

8g + 10 - 3g = 35

NOTE; when you are moving a number with positive sign across the equal to = sign the positive changes to negative and same thing applies to the negative sign it changes to positive sign.

we have;

8g -3g = 35 - 10

5g = 25

divide both sides by 5

5g/5 = 25/5

g = 5

Finding a Percentile In Exercises 35–38, use the data set, which represents the ages of 30 executives.

43 57 65 47 57 41 56 53 61 54 56 50 66 56 50 61 47 40 50 43 54 41 48 45 28 35 38 43 42 44

35. Find the percentile that corresponds to an age of 40 years old.
36. Find the percentile that corresponds to an age of 56 years old.
37. Which ages are above the 75th percentile?
38. Which ages are below the 25th percentile?

Answers

Final answer:

To find the percentile, sort the data, count the values below the given value, divide by the total number of values, and multiply by 100.

Explanation:

To find the percentile that corresponds to a specific age in a data set, you need to calculate the percentile rank. The percentile rank represents the percentage of values in the data set that are below the given value. Here are the steps to find the percentile:

Sort the data set in ascending order.Count the number of values in the data set below the given value.Divide the count by the total number of values in the data set.Multiply the result by 100 to get the percentile rank.

For example, to find the percentile that corresponds to an age of 40 years old in the given data set, you would follow these steps:

Sort the data set: 28, 35, 35, 38, 40, 41, 41, 42, 43, 43, 44, 45, 47, 47, 48, 50, 50, 50, 53, 54, 54, 56, 56, 56, 57, 57, 61, 61, 65, 66Count the number of values below 40: 5Divide 5 by 30 (total number of values) to get 0.1667Multiply 0.1667 by 100 to get the percentile rank: 16.67%

Learn more about percentile here:

https://brainly.com/question/31390269

#SPJ3

solve the equation 4x — 3y = y —12 for x if y is 6. Make sure to first solve the equation for x in terms of y. X= ________

Answers

This is the answer for the question above

Answer:

x = 3

Step-by-step explanation:

4x - 3y = y - 12

If y = 6

4x - 3 x 6 = 6 - 12

4x -18 = -6

Add 18 to both sides

4x - 18 + 18 = -6 + 18

4x = 12

Divide both sides by 4

x = 12/4

x = 3

Other Questions
Consider the following. (a) Explain why 0.41 cannot be the probability of some event. A probability must be between zero and one. A probability must be greater than one. A probability must be an integer. To deal with the problems in analyzing and interpreting research information in an international market, a marketing researcher must possess three talents. What is one of these talents? Please help! Which type of foreign policy is most directly connected with U.S. efforts to gain control over the Panama Canal?1) liberal internationalism2) dollar diplomacy3) big stick diplomacy4) progressive imperialism What is the relationship between the number oflikes a post receives and the perception that peoplehave of a social media post? Use evidence from thetext in your response. What does The Bureau of Consumer Protection do for consumers? Write T for True and F for False. Correct any false statements to make them true.1. Discrimination against African Americans stopped after the Civil War.2Jim Crow laws separated black Americans from white Americans in public placeslike theaters, schools, and restaurants.3. Trains and buses were not segregated under Jim Crow laws.4 Homer Plessy was an African American who challenged a Jim Crow law.5. Homer Plessy was put in jail for eating in a 'Whites Only restaurant.6. The events in the Plessy v. Ferguson case took place in Massachusetts.7. The Plessy v. Ferguson case was not heard by the U.S. Supreme Court.8. The Plessy v. Ferguson case confirmed that separate facilities for blacks andwere legal as long as they were equal. The rate constant for a certain reaction is kkk = 8.70103 s1s1 . If the initial reactant concentration was 0.150 MM, what will the concentration be after 19.0 minutes? Another unit cube with the same length, width, and height as the unit cube shown would have the same volume. ANSWER TO BE NAMED BRAINLIEST GET A THANK YOU AND 5 STAR VOTE FOR YOUR ANSWERPLZ HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ALSO I WILL FRIEND REQUEST U Find the area of trapezoid ABCD.A) 80 cm2 B) 96 cm2 C) 104 cm2 D) 112 cm2 Which expression is equivalent to 9/10 what two perfect squares are the closest to 175 True or False: Deadweight loss is the loss in total surplus that occurs whenever an action reduces the quantity transacted below the efficient market equilibrium. This is _____. Jackson flipped a coin ten time. He flipped heads 4 times and tails 6 times. What is the experimental probability that Jackson will flip heads on his next flip ? 3. In the way Mayella behaves on the witness stand, what evidence is there thatshe is lying? A local civic group gave the county government $25,000 cash to be used to pay the utility bills of persons with income below the poverty level. The city should account for the $25,000 contribution in:a.An investment trust fund.b.The General Fund.c.A permanent fund.d.Private-purpose trust fund. A corporate Web site contains errors on 50 of 1000 pages. If 100 pages are sampled randomly, without replacement, approximate the probability that at least 2 of the pages in error are in the sample. (Use normal approximation to the binomial distribution.) What is the area of the smallest square? A)16 in2 B)25 in2 C)36 in2 D)49 in2 PLEASE HELP!!!!!!!!!!!!!!!!!!!!! After your school's team wins the regional championship, students go to the dorm roof and start setting off fireworks rockets. The rockets explode high in the air and the sound travels out uniformly in all directions. If the sound intensity is 1.97 10-6 W/m2 at a distance of 113 m from the explosion, at what distance from the explosion is the sound intensity half this value? 5 positive and 5 negative impacts of the East India Company A uniformly charged rod (length = 2.0 m, charge per unit length = 3.0 nc/m) is bent to form a semicircle. What is the magnitude of the electric field at the center of the circle?