Firefighters need to use a 60-foot ladder to save a child. She is 50 feet above street
level. To the nearest tenth of a foot, how far from the bottom of the building must the
ladder be placed in order to reach the child exactly?

Answers

Answer 1

Answer:

The ladder must be placed at a distance of 33.2 feet from the bottom of the building

Step-by-step explanation:

From what we have here, we are looking at a right angled triangle with the hypotenuse which is the length of the ladder

The height of the child is 50 feet from ground level

So we need to get the third side of the triangle

We can get this by considering the use of Pythagoras’ theorem

This will give us the length of the third side of the triangle

From Pythagoras’ the square of the hypotenuse is equal the sum of the squares of the two other sides

Let the unknown side be x

Thus;

60^2 = 50^2 + x^2

x^2 = 60^2 - 50^2

x^2 = (60-50)(60+50)

x^2 = (10)(110)

x^2 = 1100

x = square root of 1100

x = 33.166

To the nearest tenth, this is 33.2 feet


Related Questions

A factory can produce 18,000 toy cars in an 8 hour shift. At this rate, in how many shifts could the factory produce 90,000 toy cars? *

Answers

the factory can produce 90,000 toy cars in 5 shifts

Answer

In five shifts, the factory could produce 90,000 toy cars.

Step-by-step explanation:

Multiply 18,000 by 5 to get 90,000 cars.

Find the area of the triangle

Answers

Answer:

The area of the triangle WYX  = [tex]\frac{35}{2}[/tex] = 17[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The area of the triangle WYX  is [tex]\frac{1}{2}[/tex]*b*h

We need to find base (b) and height (h)

By counting from the drawing, the base which is horizontal is 7 and the height which is vertical is 5

The area of the triangle WYX  is [tex]\frac{1}{2}[/tex]*b*h

The area of the triangle WYX  = [tex]\frac{1}{2}[/tex]*7*5 = [tex]\frac{35}{2}[/tex] = 17[tex]\frac{1}{2}[/tex]

-6(2+a)=-48 what is the value for a

Answers

Answer:

6

Step-by-step explanation:

-6(2+a) = -48

-6 × 2 + -6 × a = -48

-12 - 6a = -48

-6a = -48 + 12

-6a = -36

a = -36/-6

a = 6

hope you understood!

Nina cuts a 1 3/4 cm piece of paper from a strip measuring 2 7/8 cm. How much paper is left?

Answer with solution pls :]​

Answers

Answer:

1.125

Step-by-step explanation:

1 and 3/4 = 1.75

2 and 7/8 = 2.875

So

2.875 - 1.75 = 1.125

It rained all day on Mother's Day and the temperature dropped fourteen and seven tenth degrees. The next day the rain stopped and the temperature rose ten and nine tenths degrees. If the temperature at the beginning of Mother's Day was sixty five and eight tenths degrees, what was the temperature at the end of the day after Mother's Day?
PLEASE ANSWER< I WILL GIVE YOU BRAINLIEST

Answers

Answer:

62 Degrees

Step-by-step explanation:

65 8/10 - 14 7/10 = 51 1/10

51 1/10 + 10 9/10 = 62

pls help find the inequality represented by the graph​

Answers

Answer:

use the linear equation of a line

equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

now u do the rest

Five more than the product of a number and three is negative twenty-five.

Answers

The number is -10.

Explanation:

3x + 5 = -25

3x = -30

x = -10

10. ''Saving electricity in our homes is saving our money.'' Mention five ways of saving energy.​

Answers

Answer:

Some ways of saving energy include : turn off the fan / lights when you leave a room, hang your clothes out to dry, don't run your dishwasher half full, turn off the water when your not using it, don't stand in front of an open refrigerator door. Hope this helps :)

What's the answer to this question because im having trouble

Answers

Answer:

The Answer Is A The First One On The Very Left 5/12 - 3/12

Marcus can choose between a monthly salary of $1,500 plus a 5.5% commission of sales or $2,000 plus a 3% commission of sales. He expects about $8,000 in sales each month. Which salary option should he choose?

Answers

Answer:

2,000 plus a 3% commision :))

Step-by-step explanation:


Please help!! I need the answer and the explanation on how to do this

Answers

Answer:

the first one

Step-by-step explanation:

y=3x+2

2x+y=-4

becomes

3x+2=y

2x+4=-y

add them

5x+6=0

5x=-6

x=-5/6

take x and replace it for one equation

y=-8/5

What is the binary number for 12​

Answers

Step-by-step explanation:

[tex]12=8+4=2^3+2^2=\bold1\cdot2^3+\bold1\cdot2^2+\bold0\cdot2^1+\bold0\cdot2^0\\\\12_{10}=1100_2[/tex]

help
Use the Pythagorean theorem to write an equation for 16^2+12^2=c^2

Answers

Answer:

C=20

Step-by-step explanation:

Pythagorean theorem is a^2 + b^2=c^2. So, a=16, and b=12. 16 squared is 256. 12 squared is 144. 256+144=400. 400=c^2. So, the square root of 400=c. and that is 20.

He cafeteria at Midtown Middle School surveyed 575 students about their favorite food. If 8% of the students surveyed liked chicken, how many students said that chicken is their favorite food?

Answers

Answer:

46.08 students said that chicken is their favorite food.

Step-by-step explanation:

Let X denote the number of students who liked chicken.

The proportion of students who liked chicken is, p = 0.08.

About n = 576 students were surveyed about their favorite food.

Every student's answer was independent of the others.

Thus, the random variable X follows a binomial distribution with parameters n = 576 and p = 0.08.

The probability mass function of X is:

[tex]P(X=x)={576\choose x}(0.08)^{x}(1-0.08)^{576-x};\ x=0,1,2,3...576[/tex]

Then expected number of students who said that chicken is their favorite food is:

[tex]E(X)=np\\\\=576\times0.08\\\\=46.08[/tex]

Thus, 46.08 students said that chicken is their favorite food.

Which physical property do the two rocks share?
A. Shininess
B. Color
C. State
D. Texture

Answers

Answer:

Step-by-step explanation:

State promise

The two rocks share the option C. State.

What are Physical Properties?

Physical properties are properties of a substance which does not involve any chemical composition or changes in the substance.

Examples are color, density, hardness, and so on.

Given are two rocks.

Clearly, from the picture, we can say that shininess is different. The first rock is more shining.

Clearly colors are also not same.

Regarding the state of both rocks, both rocks are solid. So they share the property of state.

Texture is also different for both. Second one is harder texture.

Hence the physical property that both rocks share is state.

To learn more about Physical Properties, click on the link :

https://brainly.com/question/18327661

#SPJ5

A bag contains 36 calculators. This number is 75% of the number of calculators that can fit in the bag. How many calculators can the bag hold when filled?

Answers

Answer:

48

Step-by-step explanation:

Let X represent the total number of the calculator, then we can form an equation from the explanation of the question as

X × 75/100=36

75x=36×100

Making X the subject of the formula we have,

X=3600/75

X=48

Hence, 48 calculators can the bag hold when filled

are the adjacent angles in a parallelogram congruent always, sometimes, or never

Answers

Answer:

always

Step-by-step explanation:

if something parallel then it never touch each other and are opposite of each other

Will give brainliest! The line passing through points (4, 0) and (–2, 1) has a slope of:

Answers

-1/6

Hope this helped!

Answer:-1/6

Step-by-step explanation:

The cost of 5 pounds of vegetables is $7.55. What is the constant of proportionality that relates the cost of dollars, y,
to the number of pounds of vegetables, x?_(Write a numeric value in decimal form. Do not include units)

Answers

Answer:

1.51

Step-by-step explanation:

[tex]y[/tex] = Cost in dollars of vegetables

[tex]x[/tex] = Number of pounds of vegetables

[tex]y\propto x[/tex]

[tex]\Rightarrow y=kx[/tex]

where k = Constant of proportionality

[tex]k=\dfrac{y}{x}[/tex]

In one case

[tex]y = 7.55\$[/tex]

and [tex]x = 5\ \text{pounds}[/tex]

[tex]k=\dfrac{7.55}{5}\\\Rightarrow k=1.51[/tex]

The constant of proportionality is 1.51.

Identify the domain and range of the relation!

Can someone help me with 2-4

Answers

2. Domain and range are both all real numbers. 3 is C. 4 is y=3x+65
For 2
Domain =5,10,15,20
Range = -3,-1,1,3
For the answer is C option
Dont know 4

A 7 inch candle burns at a rate of 2 inches per hour. Which equation represents the
relationship between y, the height of the candle, and x, the number of hours the
candle burns?

Answers

Answer:

b

Step-by-step explanation:

your car gets 25 miles per hour and you want to go on a 400 mile road trip right now gas costs 2.59 per gallon how much would the gas for you road trip cost??

Answers

Answer:

40.96

Step-by-step explanation:

25       400

2.56       ?

400*2.56

=1024

1024/25

=40.96


HELPPP
Timmy and Sam ran in a marathon. Timmy ran at a constant speed of 5 miles per hour. Sam ran at a
constant speed of 4 miles per hour and had a head start of 2 miles. Determine where Timmy and Sam will
meet.

Answers

Answer:

they will meet 10 miles out after 2 hours

Step-by-step explanation:

10/2 my dude have a good day

Which fraction is not equivalent to 9/12 ?

Answers

Answer:

16/24 is the correct answer.

Step-by-step explanation:

9/12 = 3/4

24/32 = 3/4

6/8 = 3/4

15/20 = 3/4

16/24 = 2/3

Answer:

D. 16/24

Step-by-step explanation:

If you simplify 9/12 = 3/4 because (9/12) ÷ 3

So let's just simplify the rest.

15/20 = 3/4

(15/20) ÷ 5 = 3/4

24/32 = 3/4

(24/32) ÷ 8 = 3/4

6/8 = 3/4

(6/8) ÷ 2 = 3/4

So the answer is 16/24

16/24 = 2/3

Hope this helps ya!!!

Plot the line for the equation on the graph.





y−2=−2(x+4)

Answers

Answer:

(-3,0) and (0,-6)

Step-by-step explanation:

It costs $0.50 to download an individual song and $4 to download an album.

Jada has $15 to spend downloading music.

Complete the table showing three ways Jada can spend $15 downloading individual songs and albums.

Answers

Answer:

Below are the three ways.

Hope I helped :)

The completed table is given below and the equation for the given situation is 15=4a+0.50s.

Given that, it costs $0.50 to download an individual song and $4 to download an album.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Jada has $15 to spend downloading music.

Let s be number of songs and a be number of albums

So an equation for the given situation is 15=4a+0.50s

From table, in row 1

Given number of songs is 6

15=4a+0.50(6)

⇒ 15=4a+3

⇒ 4a=12

⇒ a=3

From table, in row 2

Given number of albums is 1

15=4(1)+0.50s

⇒ 0.50s=11

⇒ s=11/0.50

⇒ s=22

From table, in row 3

Given number of albums is 30

15=4a+0.50(30)

⇒ 15-15=4a

⇒ a=0

Hence, the completed table is given below and the equation for the given situation is 15=4a+0.50s.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ3

Alyssa used a scale in which 1 inch represents 100 feet. If the actual landmark has a height of 508 feet, find the height of Alyssa's model in inches.

Answers

Answer:

5.08 inches

Step-by-step explanation:

Alyssa used a scale in which 1 inch represents 100 feet. If the actual landmark has a height of 508 feet, find the height of Alyssa's model in inches.

The scale =

1 inch = 100 feet

100 feet = 1 inch

508 feet = x inches

Cross Multiply

100 × x = 508 × 1

x = 508 × 1/100

x = 5.08 inches

The height of the model is 5.08 inches

what is the input value other than -7 for which h(x)=3

Answers

Answer:jrntker,fgv;rmjhnopgykjpftg.l/;[]ref

Step-by-step explanation:

wem,yk6iotfkmmkgjjjkdlmeruijtnmgjhudjmv n

if f(x) = 3x-2 and g(x) =2x+1 find (f+g)(x)
A. 5x-1
B. 5x-3
C. x-1
D. x-3​

Answers

I think it is c because x-1 is true

Which expression is equal to 5 6 (6 is an exponent)

6x5
36x6x6x6
25x5x5x5
125x125

Answers

Answer:

125 x 125

Step-by-step explanation:

I got it correct on my i ready pls trust.

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