The bottom of ladder must be placed 3 feet from wall.The ladder is 10 feet long. How far above the ground does the ladder touch the wall?

Answers

Answer 1

Answer:

9.54ft

Step-by-step explanation:

This problem uses pythagoras theorem as the ladder and the wall make a triangle.

A

B                    C

Points A, B and C represent this problem. BC is 3ft, AC is 10ft and AB is x, now we sub this information into pythagoras theorem formula

3^2+b^2=10^2

Rearranged this is,

b^2=10^2-3^2

b^2=91

b=[tex]\sqrt{91}[/tex]

b=9.54

The above is rounded to two decimal places


Related Questions

There are 3 baskets of apples. Each basket has 84 apples. The apples will be divided into 9 equal groups. How many apples will be in each group?

Answers

Answer:

9

Step-by-step explanation:

9x2=18 2groups

18x2=36. 4groups

36x2=72. 8groups

84-72=12. 9groups

The laptop screen turns off when the angle between the keyboard and the screen is less than 20°. How many more degrees can the laptop screen close before the screen turns off?

The laptop screen can close ?° more before the screen turns off

Answers

Answer:

40⁰

Step-by-step explanation:

z+40+z-20=180

2z+20=180

2z=160

z=80

z-20=80-20=60

the laptop screen of in 60-20=40⁰

The laptop screen turns off at 40°.

What is a linear pair?

Two neighboring angles that add up to 180 degrees are referred to as a linear pair, as are two angles that, when added together, create a line or a straight angle.

Given, the angles (z + 40)° and (z - 20)°.

The angles (z + 40)° and (z - 20)° form a linear pair, and the sum of the linear pair is 180°, therefore,

(z + 40)° + (z - 20)° = 180°

2z + 20 = 180

2z = 160

z = 80

The value of (z- 20)° is:

(z- 20)°

= (80-20)°

= 60°

The laptop screen turns off at

60° - 20°

= 40 °

Hence, the laptop screen turns off at 40°.

Learn more about the linear pairs:

https://brainly.com/question/17525542

#SPJ2

kings hotel had 160 rooms and 35% of the rooms did not have ocean view. Write an equation to find the total number of rooms that had an ocean view

Answers

Answer:

ok so we now now many do have 0.35 so now lets just find out how many do

1-0.35=0.65

65% do have a ocean room so lets just multiply

0.65*160=104

104 do have a ocean facing room

Hope This Helps!!!

Please help its easy just i'm dvmb, just need this for my homework real soon!.. DON'T MIND THOSE ANSWERS SELECTED!!!!

Answers

Hey there today we will solve your problem,

Number 1

_______________

DefinitionsVertical angles - either of two angles lying on opposite sides of two intersecting lines.

Linear Pair - A linear pair is a pair of adjacent angles formed when two lines intersect.

_______________

Now we can solve Number 1, there is one pair of Vertical angles being ∠5 and ∠3

_______________

Number 2

Since we know the definition of a Linear Pair we can solve this problem also, the only Linear Pair that we can choose out the ones give to us is ∠4 and ∠3, because they are adjacent.

_______________

[tex]{\huge{\boxed{\mathfrak{Answer}}}[/tex]

∠5 and ∠3

    2. ∠4 and ∠3

.the question is in the picture will mark brainiest ​

Answers

Answer:

See below

Step-by-step explanation:

5^3 * 5^6 = 5^(3+6) = 5^9 <-- Add exponents when multiplying

8^7 / 8^2 = 8^(7-2) = 8^5 <-- Subtract exponents when dividing

9^7 / 9^11 = 9^(7-11) = 9^(-4) <-- Subtract exponents when dividing

(4^5)^3 = 4^(5*3) = 4^15 <-- Multiply exponents when raising a base with an exponent to an exponent

80 points for this! please help

Answers

Answer:

it is 800.00

Step-by-step explanation:

i did this a while ago

After all, tryouts are completed, the school will be hosting a party for all the new athletes. At the party, hot dogs and hamburgers will be provided to all athletes and their guests, if they choose to bring a guest. The ratio of hot dogs purchased to a number of guests is 1:0.8. Determine how many hot dogs you would need if 150 people attend the party.

Answers

Answer:  120

Explanation:

h = number of hot dogs

The ratio of people to hot dogs is 1:0.8

If 150 people show up to the party, then

(number of people)/(number of hot dogs) = 1/0.8

150/h = 1/0.8

150*0.8 = h*1 ... cross multiply

120 = h

h = 120

You'll need 120 hot dogs.

21 and 22 are complementary
angles. The measure of Z1 is (2x + 7)º.
The measure of Z2 is (3x + 58)°. What
is the value of x?

Answers

(2x+7)+(3x+58)=90
5x+65=90
5x=25
x=5

8. Sergei is buying tomatoes and finds that two different kinds are weighed in grams and
ounces. Tomato A is 6 ounces and Tomato B is 173 grams. Which tomato weighs the
most? (1 oz =
28.3 g)

Answers

Answer:

tomato B weighs more than tomato A

Step-by-step explanation:

Tomato A: 6oz = 169.8g

Tomato B: 6.10oz = 173g

What is the Lowest Common Multiple of 42 and 90

Answers

Answer:

630

Step-by-step explanation:

Answer:

630

Step-by-step explanation:

90/6=15

42/6=7

Those are the lowest you can go in those numbers and when you do 90*42  

it is 3780. Divide that by 6 and it is 630.

Name the plane on here

Answers

Answer:

The answer is A.

Consider the expression 3n^4-5n^3+9. What is the coefficient of n^3

Answers

This is the graph hope this helps friend :)

Someone help me please

Answers

Step-by-step explanation:

the ratio of 1/18 simply means that 1 inch in the drawing represents 18 inches in reality.

so, the real flag is therefore

2×18 = 36 inches long and 1×18 = 18 inches wide (or high).

the area of the actual flag is therefore

36 × 18 = 648 in²

A square calendar has sides that are 9 inches long. What is the area?

Answers

Answer:

81 because area=lxh so 9x9 is 81

[tex]i \: hope \: it \: will \: hellp \: you \: [/tex]

someone smart help please and get the answer right offering 100 points

Answers

[tex]\tt \dfrac{2.7}{2.5}=\dfrac{6.2}{AC}\\\\AC=5.740[/tex]

Please answer this (who ever answers correctly gets brainlest)

Answers

Answer:

1. correct (conversion = x1000)

2. correct (conversion = [divided by] 1000)

3. wrong (conversion should be x100)

4. wrong (conversion should be x1000)

5. correct (conversion = x10)

Answer:

option 1, 2 and 5 are correct

Step-by-step explanation:

1 Km = 1000 m

1) 1.25 km = 1.25 * 1000 = 1250 m

2) 0.345 km = 0.345 *1000 = 345 m

5)   1.7m cm = 1.7 * 10 = 17 mm

Angle 1 and Angle 2 are adjacent supplementary angles. Angle2 is verticle to a 75° angle. What are the measures of angles 1 and 2?

Answers

Answer:

Step-by-step explanation:

Angle 2 is also 75 deg since vertical angles are congruent

This means angle 1 = 180 - 75 = 105 degrees

Half of a rectangle has an area of 45 cm?
What is the area of a triangle that has the
same base and heights of this rectangle?

Answers

Answer:

45 sq cm

Step-by-step explanation:

A triangle has an area of half of a rectangle if it has the same base and height.

Find two consecutive numbers whose sum is 201.

smaller number =

larger number =

Answers

Answer:

100 and 101

Step-by-step explanation:

Hi there!

Let x be equal to the smaller number.

Let x + 1 be equal to the larger number, which is consecutive to the smaller number.

We are given that the sum of the two numbers is 201:

[tex]x+(x+1)=201\\x+x+1=201\\2x+1=201\\2x=200\\x=100[/tex]

Therefore, the smaller number is 100. Because the larger number is x + 1, it is 101.

I hope this helps!

Fiona’s mom bought 36 apples for Fiona and her 9 friends to eat. They each ate the same number of apples. Each of them only ate whole apples. How many apples were left over from the 36 her mom bought?

Answers

Answer:

6 Apples

Step-by-step explanation:

Fiona and her nine friends would make ten friends in total

They each ate whole apples and the same amount

So, 36÷10 would equal 3 apples eaten each with a remainder of 6 making 6 apples leftover

Hope this Helps!

At a conference, Rosa is handing out candy to people who visit her booth. The total
amount of candy she hands out is determined by the number of visitors.
v = the number of visitors to Rosa's booth
()) c = the total amount of candy Rosa hands out
)) Which of the variables is independent and which is dependent?
c is the independent variable and v is the dependent
variable
v is the independent variable and c is the dependent
variable
Submit

Answers

v is independent and c is dependent. More visitors means more candy to hand out. But having more candy does not mean more visitors. hope this helps :))))


-zesty

iready about presents plz help 7 grade lvl

Answers

Answer:

Answer:

118

Step-by-step explanation:

150+16%=174

174 - 32% = 118.32

118.32=118(to nearest whole number)

Roberto makes dumplings. today it takes him 54 minutes to make 18 dumplings. he plans to make dumplings for 66 minutes tomorrow and to work at the same rate. how many dumplings will Roberto make tomorrow​

Answers

Answer:

22

Step-by-step explanation:

one dumpling in 3 minutes

A person bought some Australian dollar of NRs 1,50,000 according to the exchange rate. Australian dollar 1 = NRs 77.02. After five days, in compare to Australian dollar the Nepali currency is devaluated by 5%. What is the profit or loss of that person when he exchanged the dollors he had into Nepali rupees again in that day? Find it.​

Answers

Answer:

  5.26% profit (NRs 7,894.24)

Step-by-step explanation:

The exchange of 1,50,000 NRs to A$ will give ...

  A$ 1/(NRs 77.02) = x /1,50,000

  x = A$ 1,50,000/77.02 = A$ 1947.54 . . . . . (rounded down)

If the Nepali rupees are devalued by 5%, then what did buy A$ 1 will now buy only A$ 0.95. Then the exchange back to NRs will give ...

  (NRs 77.02)/(A$ 0.95) = x/(A$ 1947.54)

  x = NRs (1947.54)(77.02/0.95) = NRs 1,57,894.24

The effective profit is the difference from the amount initially exchanged, NRs 7,894.24, or ...

  (1,57,984.24/1,50,000 -1) × 100% ≈ 5.26%

__

Additional comment

Except for the loss in the exchange due to rounding down, the profit would be 1/0.95 -1 = 5.2632%. Instead, it is 5.2628%. This is why investors move their money to investments that retain their value when the local currency is losing its value.

A researcher has reported the standard deviation of a data set. What might be the reason they chose this measure of variability? a. When plotted, the data set had a normal distribution b. When plotted, the data set had one number that was more frequent than the others c. When plotted, the data set was skewed d. When plotted, the data had a large distribution

Answers

Standard deviations are used to measure the variability of the set

The reason they choose the standard deviation as the measure of variability is (a) when plotted, the data set had a normal distribution

How to determine the reason for the measure of variability

When a data is distributed, the data can be measured using the median, the mean or the standard deviation.

If the data is a normal distribution, then the best measure of variability to use is the standard deviation

Hence, the true statement is (a) when plotted, the data set had a normal distribution

Read more about measure of variability at:

https://brainly.com/question/13154114

What is the value of 3x – 4y + z when x = 8, y = 2 and z = -6?

Answers

Answer:

[tex]3(8) - 4(2) + ( - 6) \\ \\ 24 - 8 - 6 \\ \\ 16 - 6 \\ \\ 10[/tex]

Given~

x = 8

y = 2

z = -6

Let's Solve~

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \sf \: 3x - 4y + z [/tex]

[tex] \: \: \: \: \sf \: 3( 8 ) - 4 ( 2 ) + ( -6 )[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \sf \: 24 - 8 - 6[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \: 16 - 6[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \: \: \: \: \: \: \: \: \: \underline{ 10}[/tex]

Hope It's Helps~

Jerry solved the system of equations.

x minus 3 y = 1 7 x + 2 y = 7.

As the first step, he decided to solve for y in the second equation because it had the smallest number as a coefficient. Max told him that there was a more efficient way. What reason can Max give for his statement?

The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution.
The variable x in the second equation has a coefficient of 7 so it will be easy to divide 7 by 7.
The variable y in the second equation has a coefficient of 2 so it will be easy to divide the entire equation by 2.
The variable x in the second equation has the largest coefficient. When dividing by 7, the solution will be a smaller number.

Answers

Answer:

c

Step-by-step explanation:

The variable y in the second equation has a coefficient of 2 so it will be easy to divide the entire equation by 2.

The ratio of the number of circles to the number of triangles in simplest form is
.

The number of circles that need to be added to make the ratio 1 : 1 is
.

Answers

Answer: The simplest form would 1 to 1, 1/1 or 1 to 1

Step-by-step explanation:if you are smart you would know this

Can someone please help me? :(

Answers

The answer is c

The tip is dependent to the amount of customers she serves.

The more customers she serves, the more tips she makes. So, the amount of tips she make is depended to how many customers she serves.

Hope that helps!

what is the slop of the line A. 2 B. -1/2 c.1/2 D.- 2
Somebody pls help me

Answers

Answer:

its 1/5

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

trust me its the answer or

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