A 10 -foot ladder is leaning against a building. The base of the ladder is 3 feet from the side of the building. How high does the ladder reach along the side of the building? Answer exactly or round to 2 decimal places.

Answers

Answer 1

Answer:

The ladder is 5.20 feet tall on the side of the building

Step-by-step explanation:

Here, we simply want to calculate the height the ladder is from the base of the building

To get this, we need a pictorial representation of what we have here.

From what we have here, we have a right-angled triangle with a hypotenuse of 10 foot and a base of 3 feet

We apply Pythagoras’ theorem to get how far is the tip of the ladder from the base of building

Pythagoras’ stated that the square of the hypotenuse equals the sum of the squares of the two other sides

In this case, let the height be x

So;

x^2 + 3^2 = 6^2

x^2 = 6^2 - 3^2

x^2 = 36 - 9

x^2 = 27

x = √27

x = 5.196 feet

which to two decimal places is 5.20 feet

A 10 -foot Ladder Is Leaning Against A Building. The Base Of The Ladder Is 3 Feet From The Side Of The

Related Questions

Tantasic charges a reservation fee of 20$ and $1 per minute in a tanning bed. Bettersun charges no reservation fee but charges 2$ per minute. How many minutes will the price be the same

Answers

Answer:

The indifference point is 20 minutes

Step-by-step explanation:

Giving the following information:

Tantasic:

Reservation fee of 20$ and $1 per minute

Bettersun:

2$ per minute.

First, we need to structure both total cost formulas:

Tantasic= 20 + 1x

Bettersun= 2x

x= number of minutes

Now, we equal both formulas and isolate x:

20 + 1x = 2x

20 = 1x

20= x

The indifference point is 20 minutes

will give brainlist asap

Answers

Answer: x=22

Step-by-step explanation: all the angles in a triangle equal 180 degrees. This becomes 5x+70=180. Simplify the equation it becomes 5x=110. divide by five it becomes x=22

Answer:

Its 22

Step-by-step explanation:

Please help me out! this is late!​

Answers

Answer:
6^-7

I hope this helped :)

Hi! Can someone answer and explain how you got that answer? I’m practicing for the asvab, if you can explain in the most simplified way, it’d be much appreciated

Answers

Answer:

D.)

Step-by-step explanation:

multiply every side by 5 since it's a square each side is equal!

Cameron makes a quilt design using four congruent triangles as shown below. 4 connecting congruent triangles are shown. The bottom 2 triangles share the same base. The top 2 triangles also share the same base and sit on top of the bottom 2 triangles. The base length is 21 centimeters. The length of the bottom side of the triangle is 14 centimeters. The length of the right side of the triangle is 9 centimeters. What is the perimeter of the entire design? 46 cm 64 cm 108 cm 147 cm

Answers

Answer:

64 cm Tom Brady the goat

Step-by-step explanation:

Answer:

64cm

Step-by-step explanation:

edge 2021 -*+ have a good day -*+

Roberto has run the first 16 miles of a race, which means he is 72% finished. How long is the race?

Answers

Answer:

approximately 22.2 miles

Step-by-step explanation:

16mi/72% =xmi/100%

72x=1600

x=22.2222222.....

Answer: 22.2 miles

Step-by-step explanation:

Which of the following BEST describes the domain of the relation graphed below.​

Answers

Answer:

The answer is D.

Step-by-step explanation:

Domain describes the range of the x values that is true for a function. By looking at the graph, the possible values of x are between -8 and 3. Therefore the answer is: x such that [-8≤x≤3]

0.7x9 pls answer idont know

Answers

Answer:

kuggtjbbbknh

Step-by-step explanation:

Answer:

6.3

Step-by-step explanation:

dont u have a calculator lol

Explain your reasoning for your answer above.

I’ll give brainliest !!

Answers

Answer:

A

Step-by-step explanation:

The triangles are the same. Congruent is when all three sides are equal to each other on both triangles

NEED THIS ANSWER BY THE END OF THE DAY PLEASE HELP !!
The sum of two numbers is 45. The smaller number is 17 less than the larger number. What are the numbers ?

Answers

Answer:

small number is 14

Larger number is 31

Step-by-step explanation:

Let x = one number

Let y = the second number

x + y = 45

x = y - 17

Put y - 17 into the top equation for x

y - 17 + y = 45

2y - 17 = 45          Add 17 to both sides

2y = 45 + 17

2y = 62                Divide by 2

y = 62/2

y = 31

Brianna wants to use a pontoon boat on Saturday at the lake. She has exactly
$200 to spend on the boat rental. The rental is $30 an hour plus a $80 deposit.
How many hours can she rent the pontoon boat for? Create and solve an
equation for this situation.

Answers

Answer:

Step-by-step explanation:

She has 200

80 deposit - 200= 120 left to spend

80+30h=200

If she has 120 left to spend at 30 hr, she could have the boat for 4 hrs

80+30h=200 subtract 80 from both sides

30h=120 divide by the 30

h=4

What is the value of the expression 3/8 divided by 2/5

Answers

Answer:

0.9375

Step-by-step explanation:

A fraction would probably be 15/16

Which of the following fractions is expressed in simplified form?

Answers

Answer:

There aren't any fractions

Step-by-step explanation:

Emir and his family ordered a meal that cost $50. Emir paid 8% sales tax and left an 18% tip on $50. What was the total cost?

Answers

Answer:

$63.00

Step-by-step explanation:

Your first step is to change the percents into fractions, you do this by moving the decimal point two times to the left.

Your equations look like this:

Tip equation: .18 * 50 = $9.00

Tax equation: .08 * 50 = $4.00

Then you just add them all up to get the total, and you get,

9+4+50 = 63

Please answer it correctly I will mark you brainlist if you show ur work

Answers

Answer:

c. 6 and 8

Step-by-step explanation:

when x is 5 Y is between 6-8.

F(5) means x is 5.

Answer:

I an guessing B

Step-by-step explanation:

According to the picture 5 is between 4 and 6 plus if you some math you and look at the line that is drawn you should get B to.

Hope that helped if not sorry. ...

Need a quick answer please

Answers

Answer:

X=10

MArk me brainliest

Step-by-step explanation:

Answer: The value of x is 10! How, you might ask, it is because it is reduced!

oswald and paula share sweets in the ratio 7:4 if oswald recievies 49 sweets how many less does paula get​

Answers

Answer:

21 less

Step-by-step explanation:

49:? = 7:4

49 / 7 = 7

7 x 4 = 28

49- 28 = 21

Beth describes her current location: "I'm directly south of the theater, halfway to the restaurant." Plot the point representing Beth's location.

Answers

Answer:

Plot it at (4,-0.5)

Step-by-step explanation:

Answer:

-4, -0.5

Step-by-step explanation:

What is the boiling point of salty ocean water?

Answers

Answer: approximately 105.7°C

Step-by-step explanation:

Seawater of 35 psu has a specific heat of 0.932 compared with 1.000 for pure water. Pure water freezes at 0 °C and boils at 100 °C (212 °F) under normal pressure conditions. When salt is added, the freezing point is lowered and the boiling point is raised. Therefore, we can tell that salt increases the boiling temperature, but not by very much. If you add 3 grams of salt to 100 grams (or mL) of water, instead of boiling at 100° C, it'll boil at 100.5° C.

And I'm not sure about the ocean water because the expected range is too wide and various, so maybe I guess the boiling point of salty ocean water would be about 105.7°C?

Simplify (3x³)2.Pls help​

Answers

Answer:

Just multiply 3x³ by 2

6x³

Step-by-step explanation:

Pls give me brainliest, if it helped you

Answer:

6x^3

Step-by-step explanation:

This is because you will need to open the bracket by multiplying 3x^3 times 2

(3x^3)2

3x^3 × 2=6x^3

= 6x^3

Please give me brainliest

What is the value of f(x) when x=-3?

Answers

Answer:

3, or -3

Step-by-step explanation:

3, or -3 are both equal to -3.

Please help!! I'll give brainlist!

Answers

Answer:

-3/5

Step-by-step explanation:

-2/5+-1/5= -3/5

I used a calculator to ensure this answer was correct

Answer: A) -3/5
This is because -2 pulse -1 is -3. And you can’t add the denominator if it’s the same. In this case the denominators are the same so u keep it as 5. So the answer would be A

PLEASE HELP
there are just as many square numbers as there are counting numbers. you can see that because you can match the squares up with the counting numbers, and you never run out of either. but doesn't it seem that there must be more counting numbers than squares since not every number is a square?

Answers

Answer:

i think its a yes

Step-by-step explanation:

Can someone help me with this.

Answers

Answer
1- y=-4
2- y=-11/15
3- y=24
4- c= 27/2

Answer:

1. y = -4

2. y = -0.73 (rounded; it's a repeating decimal and the 3 goes on. -0.7333333, and so on)

3. y = 24

4. c = -13.5

Step-by-step explanation:

30+7y=-2y-6

You want to get the y all by itself. So in order to do that you must combine the like terms from both sides. (so you'll combine the values with a variable, in this case y, and then you will combine the numbers without a variable.)

So, first, get the y's on the same side.

30+7y = -2y-6

Because 2 is negative "-2y", in order to cancel it out you have to ADD 2y to both sides.

30+(7y+2y)= -6

30+9y=-6

Remember, your goal is to get y by itself. So in order to do that, you have to get rid of the solo number on the same side, which is 30. Therefore, you must subtract 30 from BOTH SIDES.

9y= (-6 - 30)

Remember, when you're subtracting with negatives. The rule is: KEEP IT, SWITCH IT, SWITCH IT.

Keep the -6.

Switch the - to a +

And switch the positive thirty to a negative 30.

9y= -6 + (-30)

9y = -36

You want the y alone, so you have to cancel out the multiplication by its recipriocal (or opposite). The opposite of multiplication is division. So you must divide both sides by 9.

y= -36 ÷ 9

y= -4

__________________________

4(3y+4.1)=7.6

Use the distributive property and multiply the 4 (which is outside of the partenthesis) by what's inside of the parenthesis (3y+4.1).

4(3y+4.1):

4 x 3y = 12y

4 x 4.1 = 16.4

12y+16.4 = 7.6

Subtract 16.4 from both sides

12y = -8.8

Divide both sides by 12 to get the y by itself

y= -0.73 (repeating)

__________________________

3(y+1) = 4y-21

This is similar to the last problem. You must use the distributive property and multiply what's outside of the parenthesis by what's inside of the parenthesis.

3 x y = 3y

3 x 1 = 3

Rewrite the equation

3y+3 = 4y-21

Now this problem is similar to the very first problem

You need y by itself. So subtract 3y from both sides

3=(4y-3y)-21

3= 1y-21

Add 21 to both sides to get y by itself

24=1y

y=24

__________________________

3(2c+5) = 4(c-3)

This is just like the last two problems, you must use the distributive property.

3 x 2c = 6c

3 x 5 = 15

Rewrite equation.

6c+15 = 4(c-3)

Now you have to use the distrubtive property for 4(c-3)

4 x c = 4c

4 x (-3) = -12

Rewrite

6c + 15 = 4c - 12

Subtract both sides by 4c

(6c-4c) + 15 = -12

2c + 15 = -12

Subtract by 15 from both sides.

2c = -27

Divide both sides by 2, in order to get c by itself

c = -27 ÷ 2

c = -13.5

Use the dropdown to complete the following inequality.

Answers

Answer:

>

Step-by-step explanation:

b is clearly negative

- - = +

so therefore, subtracting the negative will result in a larger answer than adding a small positive to a negative

Find the circumference a circle with the diameter AB

A (-8,4) and B (4,-1)

Answers

Answer:

C = 13π ≈ 40.82 units

Step-by-step explanation:

C = 2 r π = d π

AB = [tex]\sqrt{(-8-4)^2 +(4+1)^2}[/tex] = 13 units

C = 13π ≈ 40.82 units ( π ≈ 3.14 )

Luis had 4 boxes of party favors. One full box contained 16 bags of favors and each bag had 5 items in it. What is the total number
items that Luis had in his possession?
O A. 360
B. 320
O C. 170
OD. 7.5

Answers

The answer is B. 320. 64 bags times 5 items in each bag.

help, thank you so much!

Answers

Answer:

-2

Step-by-step explanation:

The average rate of change over [a, b] is simply the slope of the function over [a, b] because:

[tex]let\:g(x)=f'(x)\\\frac{\int\limits^b_a {g(x)} \, dx }{b-a} = \frac{f(b)-f(a)}{b-a}[/tex]

We have to find the avg ROC over [-3, 1] so the slope over the interval is

[tex]\frac{f(1)-f(-3)}{1-(-3)} = \frac{-6 - 2}{4} = \frac{-8}{4} = -2[/tex]

Isabelle and jamie share money in the ratio 2:3 isabelle recieve £42 how much money does jamie get​

Answers

Answer:

£63

Step-by-step explanation:

£42 is 2 parts so 1 part is half so £21

21 x 3 is 63 so jamie gets 63 pounds.

show work / explain it​

Answers

Answer: In the Instance that she downloads 45 songs, she would pay $40.75. The equation for s songs in one month would be

Money = 7 + s(0.75)

Well, since the time span is a month we can say M is money and n is the amount of months she listens. since this is one month we know N equals 1.

So M = 7n + s(0.75)

7 being the monthly fee, n being the amount of months using the service, s being the amount of songs downloaded, and 0.75 being the cost of every song downloaded.

Step-by-step explanation:

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