Mathematics High School


A 20-foot ladder leans up against the side of a building so that the foot of the ladder is 10 feet from the base of the building. How far up the
building does the ladder reach? Round your answer to the nearest tenth.
18.1
17.3
15.9
16.4

Answers

Answer 1

Answer:

17.3

Step-by-step explanation:

To solve this equation, you need to use the pythagorean theorem which is:

[tex]a^{2} +b^{2}= c^{2}[/tex]

a= length

b= height

c= hypotenuse

First, substitute in your values for the equation:

[tex]10^2+b^{2} =20^{2}[/tex]

Then, use the squares in the equation:

[tex]100+b^{2} =400[/tex]

Then, subtract 100 from both sides to isolate b:

[tex]b^{2} =300[/tex]

Finally, square root both sides to get your answer:

[tex]b=17.3205080757[/tex]

Then round to the nearest tenth which gives you 17.3.

Answer 2

Answer: 17.3 ft

Step-by-step explanation:

Related Questions

How much will 20 pencils cost if it costs
$3.50 for 100 pencils?

Answers

Answer:

$0.70

Step-by-step explanation:

Divide to find the unit rate.

3.5 / 100 = 0.035

Multiply.

0.035 * 20 = 0.7

Best of Luck!

Answer:

20 pencils will cost $0.70.

Step-by-step explanation:

3.5/100=x/20

cross product

100*x=3.5*20

100x=70

x=70/100

x=7/10

Find the value of both variables. Round to the nearest tenth.
30
w
45
44°
to
w=
type your answer...
degrees; x= type your answer...
degrees

Answers

Answer:
W=~20.8
X=~62.5 degree
Solution:
Soh, Cah, Toa
[Left Triangle] 30=hypotenuse, W=opposite
Sin(angle)=o/h
Sin(44)=W/30
Sin(44)*30=W
W=20.8
[Right Triangle] W=20.8=adjacent, 45=hypotenuse
Cos(x degree)=a/h
Cos(x)=20.8/45
x=arc cos (20.8/45)
x=62.5

You are in charge of designing your soccer team’s shirts and have narrowed it down to two companies. Master Ink has a flat rate of $35 and charges $12 for each t-shirt printed. Totally Tee has a flat rate of $55 and charges $8 for every t-shirt.

Answers

Answer:

Step-by-step explanation:

Since there official question included with this, here is both equations and the point at which they equal the same amount.

Let x be every t-shirt printed.

Master Ink: 35+12x

Totally Tee: 55 + 8x

The point of which both equals the same (no matter how many shirts you buy) means that Master Ink = Totally Tee, therefore:

35+12x  = 55+8x               Solve

4x=20

x = 5  

For the cost from both companies to be the same, you can buy 5 shirts. I would recommend Master Ink if you want to buy 5 shirts or less, and Totally Tee, for 5 shirts or more if you want to buy the cheapest offer.

please helpppppp!!!!!

Answers

9514 1404 393

Answer:

A + 2×BD - 2×C

Step-by-step explanation:

The shaded area contains area A and two of area B. The expression for that area can be written ...

  Area of trapezoid = A + 2×B

__

The overall rectangle has an area of D. The areas labeled C can be subtracted from that to leave the shaded area. The expression for that is ...

  Area of trapezoid = D - 2×C

Select all the equations that are equivalent. 52 = 8n + 4 4(2n + 1) = 52 4 = 52 – 8n 4n = 48 n = 6

Answers

Answer:

52 = 8n + 4

4(2n + 1) = 52

4 = 52 – 8n

n = 6

Step-by-step explanation:

52 = 8n + 4

52 - 4 = 8n

48 = 8n

n = 48/8

n = 6

4(2n + 1) = 52

8n + 4 = 52

8n = 52 - 4

8n = 48

n = 48/8

n = 6

4 = 52 – 8n

4 - 52 = -8n

-48 = -8n

n = -48/-8

n = 6

4n = 48

n = 48/4

n =12

n = 6

52 = 8n + 4 is equivalent to 4(2n + 1) = 52 is equivalent to 4 = 52 – 8n is equivalent to n = 6

The mean of three numbers is 10. The mean of other four numbers is 12. Find the mean of all the numbers.

Answers

Answer:

11.14

Step-by-step explanation:

Mean = sum of numbers / total numbers

the mean of the 7 numbers = sum of the numbers / 7

sum of numbers for the 3 numbers = 10 x 3 = 30

Sum of numbers for the other 4 numbers = 12 x 4 = 48

Sum of the 7 numbers = 48 + 30 = 78

Mean of the 7 numbers = 78 / 7 =  11.14


What is the slope of the line shown above? Just tap on the picture. Yes I’m watching Daniel tiger’s neighborhood. I’m babysitting while doing school work.

Answers

Answer:

The slope is 1/3

Step-by-step explanation:

Equation for slope is rise over run or y2-y1/x2-x1

-5,1 -2,2 these are the 2 points, so it could be 2-1/-2--5 which is equal to 1/3.

what does a⁵×a³ equal?​

Answers

Step-by-step explanation:

[tex] {a}^{5} \times {a}^{3} \\ = {a}^{5 + 3} \\ = {a}^{8} [/tex]

Hope it will help :)

Answer:

a⁵×a³=a⁸

because if base is same than the exponents can add

.

If a person's speed doubles and all else remains the same, what will be the person's angular momentum

Answers

Answer:

The person's angular momentum will be double

Step-by-step explanation:

Let

Speed of person=v

Mass of person=m

Radius=r

Speed of person=2v

We have to find the person's angular momentum when the speed of person is double and all else remains same.

We know that

Angular moment ,L=mvr

Using the formula

Angular momentum of person when speed 2v

L'=m(2v)r

[tex]\frac{L'}{L}=\frac{m(2v)r}{mvr}=2[/tex]

[tex]L'=2L[/tex]

Hence, the angular moment of person will be double when the speed of person is double.

Estimate 45.9 divided by 7

Answers

Answer:

6.557

Step-by-step explanation:

Answer:

6.557

Step-by-step explanation:

Hope this helps and have a great day!!!

What rotation is shown below?

Answers

Answer:

90 around the origin

Step-by-step explanation:

Here is the answer

It’s either -90 or 90 I’m pretty sure it’s just 90

james and elaine share a box of sweet in the ratio 2:3 what fraction of sweets does james receive and elaine receive​

Answers

Answer:

james get 2 thirds

Step-by-step explanation:

c) One third of a number is 27. What is that number?
Explain how you found your answer.

I GOT 81 BUT IM NOT SURE IF ITS RIGHT?

Answers

81


explain : 27 x 3 = 81 , one third is 27 .

help mee pleaseeeeeeas

Answers

the answer is 189 because 9 x 21 (width x height)

Answer:

Step-by-step explanation:

Volume = 1/2 a * b*h

So

V= 1/2 (9)(6)(21)= 567 us ^3

Subtract (-x-3) - (5x + 2).​

Answers

Answer:

-1.2 or -5/6

Step-by-step explanation:

thats all I can say pls

Can someone help me find this answer: tan12=22/x Please explain the steps

Answers

Answer:

Solve the rational equation by combining expressions and isolating the variable.

x=47.04630109.

Step-by-step explanation:

could someone help me out for number 5 please?

Answers

Answer:

she didnt multiply 5 times 12

Sally used 8 cubes to make this square frame that has 3 cubes on each side. If she uses 20 cubes to make a square frame, how many cubes will be on each side of the frame? Think of using objects to help you solve this problem.

Answers

Answer:

5

Step-by-step explanation:

The number of cubes that should be on each side of the frame should be considered as the 5.

Calculation of the number of cube:

Since Sally used 8 cubes to make this square frame that has 3 cubes on each side.

So here the no of the cube be like

= 8  - 3

= 5

hence, The number of cubes that should be on each side of the frame should be considered as the 5.

Learn more about cube here: https://brainly.com/question/3510925

define nature




have a great day ​

Answers

Answer:

Nature : The phenomena of the physical world collectively, including plants, animals, the landscape, and other features and products of the earth, as opposed to humans or human creations. (according to Oxford Dictionary)

The mean age of 5 people in a room is 26 years.
A person enters the room.
The mean age is now 33.
What is the age of the person who entered the room?​

Answers

The mean age of 5 people in a room is 26 years. A person enters the room. the mean age is now 33 so the age of the person 68 who entered the room.

In statistics, in addition to the mode and median, the mean is one of the measures of central tendency. Simply put, the mean is the average of the values in the given set. It indicates that values in a particular data set are distributed equally. The three most frequently employed measures of central tendency are the mean, median, and mode. The total values provided in a datasheet must be added, and the sum must be divided by the total number of values in order to determine the mean. When all of the values are organized in ascending order, the Median is the median value of the given data. While the number in the list that is repeated a maximum of times is the mode.

So According to the question, the Mean of  5 people in a room =26

When a person enters the room mean age becomes = 33

The sum of their age is = 5*6 =130

when other persons enter the room means the total person becomes =6

and the sum of their age after another person enters the room= [tex]x+130[/tex]

where x is the age of the other person entering the room.

so, mean = 33= (130+x)/6

 then, 130+x=6*33

   And,130+x=198

so,x=198-130  =68

For more information about the mean visit:

https://brainly.com/question/21903586

#SPJ1

30-60-90 triangle.. find the value of x?

Answers

Answer looks probably like a

Helpp! Will give brainliest​

Answers

Answer:

all of them are correct

Step-by-step explanation:

2.8 divide 6 estimate the quotient

Answers

Answer:

0.4666666666666667

Step-by-step explanation:

I have a D in math and need to bring my grade up!! Please help!! 32 pts!!!!

Answers

So I searched it up and this seems to be correct 1 2 4

can someone please tell me the answer?

Answers

d, it has a right angle which is a 45 degree angle and that is not listed on the options. hope this belay

A shop has 400 bulbs
out of which 24 are defective What percent are good bulb?
​

Answers

Answer:

look at the picture i sent plz......

Answer:

Number of non defective bulbs-

400-24

376

Our fraction would be-

376/400

To make it into percentage we need to always multiply it by 100

376/400 x 100

=94%

Thus 94% of the bulbs are non defective

Please help me :( I really need it.

Answers

Answer:

6

Step-by-step explanation:

since it's a right triangle you can use the Pythagorean Theorem

2.7² + b² = 6.5²

7.29 + b² = 42.25

b² = 34.96

b = [tex]\sqrt{34.96}[/tex] which equals 6 when rounded to the nearest tenth

 

please help if your able to (:

Answers

Answer:

4/9

Step-by-step explanation:

(2/3)^2 is another way of writing:

2/3*2/3

Which is 4/9

Hope this helps

Answer:

2/3*2/3      4/3

Step-by-step explanation:

Help! Please! I need help

Answers

the answer is 13
since it goes up by 4 you would add the previous number (9) and 4 getting 13

Will mark brainliest if ur right! if not, u wont get it.

Answers

Answer:

(-4,4)

Step-by-step explanation:

I believe that's it

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