An 18-foot ladder is leaning against a wall. The bottom of the ladder is 4.5 feet from the base of the wall.


How high up the wall does the ladder reach? Round your answer to the nearest tenth, if necessary.

A

13.5 feet

B

18.6 feet

o

С

22.5 feet

D

17.4 feet

Answers

Answer 1

Answer:

d

Step-by-step explanation:

use Pythagoras theorem

that is a²+b²=c²

so 4.5²+b²= 18²

rearrange to b²=18²-4.5²

so you get b=

[tex] \sqrt{303.75} [/tex]

that is equal to 17.42842506


Related Questions

A community hall is in the shape of a cuboid.
The hall is 20m long, 15m wide, and 4m high.

Answers

Answer:

The total paint cost is £380. The total tiles cost is £1800. The total cost is £2180.

Step-by-step explanation:

To know the cost, you need to calculate the area of the community hall.

Area of the ceiling/floor: 40m x 15m =  600m2

So together, their area is 1200m2.

Area of the small walls of the community hall: 15m x 3m = 45m2/each wall

Together the two walls have an area of 90m2

Area of the big walls of the community hall: 40m x 3m = 120m

Together the two big walls have an area of 240m2

So, therefore, the total area of the community hall: 1530m2

Painting:

They are going to paint the walls and the ceiling and each 10L tin covers 25m2 so:

Area of the walls and ceiling = 600m2 + 90m2 + 240m2 = 930m2

930m2 ÷ 25m2 = 37.5 tins. Since you can't have half a tin, they will need 38 10L tins.

38 x £10 = £380

Floor:

1m2 floor tiles costs £3 so 600m2 x £3 = £1800

Total:

£1800 + £380 = £2180

find x .....merry Christmas :)))

Answers

The value of x in the triangle is 70°

What is a scalene triangle?

A scalene triangle is a plane figure that has 3 different length sides and 3 different angles. The sum of all the angles in a scalene triangle is equal to 180°

i.e

[tex]\mathbf{\hat x + \hat y + \hat z = 180 ^0}[/tex]

Let's assume that angle y = 60° and angle z = 50°  

Then;

[tex]\mathbf{\hat x + 60^0 + 50^0 =180^0}[/tex]

x + 110° =180°

x = 180° - 110°

x = 70°

Learn more about scalene triangle here:

https://brainly.com/question/16589630


520
38°
220°
X = degrees

Answers

by taking complete angle

52+38+220+x=360

310+x=360

x=360-310

x=50

can someone help me with this

Answers

Answer: i think you should label it with numbers first

maybe??

Step-by-step explanation:

the sum of 2 integers is 61 and their difference is 29.

Answers

Answer:

16 and 45

Step-by-step explanation:

Just use guess and check, start with a number too low like 10+39=49. Then go up until you find the number or until you go over.

The area of a rectangle is 21 cm². If one side exceeds the other by 4 cm, find the dimensions of the rectangle.​

Answers

Answer:

3cm and 7cm

Step-by-step explanation:

The length is 7cm.

The width is 3cm.

Area = Length × Width = 7cm × 3cm = 21cm²

can somebody please help me with these, I don’t know if they’re right and I don’t understand how to do it

Answers

Answer:

ur right!!

Step-by-step explanation:

help me divide me 1/4 divided my three

Answers

Answer:

1/12

Step-by-step explanation:

1/4 divide by three= 1/4*1/3=1/12

Answer: 1/4 ÷ 3 = 1/12

Explanation: In order to divide fractions, you must follow these 3 simple steps:

Step 1. Turn the second fraction (the one you want to divide by) upside down

(this is now a reciprocal).

Step 2. Multiply the first fraction by that reciprocal.

Step 3. Simplify the fraction (if needed).

Can someone plz help Me?

Answers

Answer:

A

[tex]^{}[/tex]

the answer to the question is a :)

Describe how modern entertainment has begun to reflect the changing makeup of families in America.

Answers

It should be noted that modern entertainment has played a vital role in shaping African culture and homes.

Through modern entertainment, Africans views on marriages have changed. Most African men now marry one wife which was quite different in the olden days when it was believed that an increase in the number of wives one had was used to show superiority.

Also, entertainment has been impactful in the issue of child-bearing. Women now give birth to lesser children at an average of 3 per home.

Lastly, modern entertainment has also influenced the kind of movies and music that are listened to.

Learn more about entertainment on:

https://brainly.com/question/773944

Find the x in the figure. Assume a and b are parallel

Answers

Answer:

x = 15

Step-by-step explanation:

(4x - 30) and (2x) are alternate angles and are congruent , then

4x - 30 = 2x ( subtract 2x from both sides )

2x - 30 = 0 ( add 30 to both sides )

2x = 30 ( divide both sides by 2 )

x = 15

The shape on the left is transformed on the right.Which of the statements describes the transformation.​

Answers

Answer:

yall werid

Step-by-step explanation:

HELP HELP ME PLS I AM RUNNING OUT OF TIME!!!! HERE IS MY PROBLEM:
An attorney drove 9 1/4 miles from his home to a clients home and another 4 3/5 miles to get to his office. How far did he drive in total?​

Answers

Answer:

Step-by-step explanation:

To write fractions with a common denominator, you will most likely need to scale some numbers up! I will explain how.

Let's try it with the fractions

2

3

and

3

12

12 is larger than 3, so we will have to multiply the 3 by some number to equal 12. (We are really finding the Least Common Multiple of the two denominators!) To do this, you have to multiply the 3 by 4, because 3x4=12. But now the numerator doesn't match the denominator. When you scale the denominator up, you have to scale the numerator up too! So the 2 must be multiplied by 4 also.

Now you have the following:

8

12

and

3

12

These fractions now have common denominators! Now they're all set for adding or subtracting fractions.

Try another:

2

6

and

3

5

: The least common multiple of 6 and 5 is 30. (the product of the denominators)

Transform each fraction by multiplying by "1":

2

6

5

5

=

10

30

and

3

5

6

6

=

18

30

One last problem:

4

9

and

7

6

What is the least common multiple of 9 and 6? Could you use 54? Absolutely, but it is not the LEAST number that you could use. How about 18? YES!

4

9

2

2

=

8

18

and

7

6

3

3

=

21

18

Ready to go...

Hope this helped!

Write an equation you could use to find the length of the missing side of the right triangle. Then find the missing length. Round to the nearest tenth if necessary.




Group of answer choices

26+ 24 = a ; 35.4 in.

a + 24 = 26; 10 in.

a + 24 = 26; 2 in.

a + 24 = 26; 100 in.

Answers

Answer:

a² + 24² = 26² ; a = 10 in.

Step-by-step explanation:

a² + 24² = 26² ; a = 10 in.

((I'm not sure if your choice is wrong.))

The opposite of −358 is on the
(same or opposite)
side of zero on a number line as −358. The opposite of 429is on the
(same or opposite)
side of zero on a number line as 429.

Answers

the opposite of -358 is on the opposite side

the opposite of 429 is on the opposite side

Answer:

A: Opposite

B: Same

Step-by-step explanation:

I'm not really sure, please tell me if I'm incorrect

HELP!! BRAINLIEST!! +15 POINTS!! REAL ANSWERS ONLY PLEASE

Answers

Lol that’s so easy haha

write and solve the equation to find the number:
1: the sum of 4 and three times a number is 19
2: ten less the quotient of a number and 3 is 6

Answers

Answer:

whats the whole question

Step-by-step explanation:

Write an equation of a line that is perpendicular to y = 2/3 x + 8 and has a y-intercept of
2.
Answer in slope-intercept form

Answers

Answer:

y = -3/2x + 2

Step-by-step explanation:

Since you know it has a point at (0, 2) - the y intercept, put those values into the equation and solve. To be perpendicular it seems the reciprocal of the slope with the opposite sign, so 2/3 is the original slope, and -3/2 becomes the new slope.

y = 2/3x + 8 becomes

2 = -3/2(0) + b  We substitute in the x and y values, but we have to figure out what the last number will be.

2 = 0 + b

b = 2

So put the whole equation together

y = -3/2x + 2

Write the following statements in the form of equations.

a. The sum of five times p and 8 is 23.

b. If you subtract 6 from 3 times a number, you get 18.

c. One third of a number plus 7 is 26.

Answers

Answer:

a. The sum of five times p and 8 is 23.

Graph y= 0.5x^2 - 4x +6 on the coordinate plane.

Vertex:

Is this considered a minimum or maximum point?

Axis of symmetry: x=

Roots: x= and x=

Answers

Answer:

V: (4, -2), min, Axis: x = 4, Roots 2 and 6

Step-by-step explanation:

Multiply everything x 2 to get rid of the decimal in front of x^2

2y = x^2 - 8x + 12

Factor

2y = (x - 6)(x - 2)

The roots are at 2 and 6.

The axis of symmetry is in the center between the roots, so it is x = 4.

Put 4 into the original equation to find y

y = 0.5(4*2) - 4(4) + 6

y = 8 - 16 + 6, y = -2  

Vertex is at (4, -2). It is a minimum because the graph opens up since x*2 is positive.

What is √101.6064 in to 1 decimal place and in standard form?​
NEED ASAP

Answers

Note that

10² = 100

0.08² = 0.0064

and

101.6064 = 100 + 1.6 + 0.0064

It also happens that

1.6 = 2 • 10 • 0.08

which means

101.6064 = 100 + 1.6 + 0.0064

101.6064 = 10² + 2 • 10 • 0.08 + 0.08²

101.6064 = (10 + 0.08)²

101.6064 = 10.08²

which means

√101.6064 = 10.08

which, to one decimal place, is approximately 10.1.

Find the measure of 44.
23/24
147/33°
339/147
4.4 = [?]

Answers

The angle of 4 is 147 degrees!
Based on the alternate interior angle theorem!

Hope this helps!
Brainliest and a like is much appreciated!
It’s is 147 I just did the test right now

What is the degree of 5x^5+8x^2+2x-3x^9-8x^4-4x^5

Answers

Answer:

9

Step-by-step explanation:

It is the greatest exponent.

if a/b-d=2c/b, find the value of c when a=3 b=4 and d=5
please explain your answer

Answers

Answer:

c= -17/2

Step-by-step explanation:

a/b-d=2c/b

3/4-5=2c/4

-17/4=2c/4

-17/4÷1/4=2c

-17/4×4=2c

2c=-17

c=-17/2

which image shows a reflection?​

Answers

Answer: A

Step-by-step explanation:

can someone help me with this question plsss

Answers

Answer:

So you divide both sides 8.5

B=8   8.5x8=68

Simplfy 8.5x8 to 68

68=68

Step-by-step explanation:

Hope this helps

PLEASE HELP QUESTION IN PICTURE

Answers

i think it's A! definitely not C or D

How about: 37×13×78. Simplify this, if you please.

Answers

Answer:

37518

Step-by-step explanation:

Clear your calculator.  Enter 37, followed by ×, and then 13, followed by ×, and then 78 and the ENTER key.  Result:  37518.

Which mixed number is equivalent to the improper fraction 4 2/5?

4 2/5

7 4/5

8 2/5

9 3/5

Answers

the answer is 4 2/5, and I don't think others are equivalent to it

which expression is equivalent to (-3) x + (-3) (-12)

Answers

Answer:

-3x - 15

or

-3(x + 5)

Step-by-step explanation:

-3x - 3 - 12

-3x - 15

-3(x + 5)

sorry if this doesn't help but i hope it does

Answer:

-3(x + 5)

Step-by-step explanation:

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