A ladder rests against the top of a wall. The head of a person 6 feet tall just touches the ladder the person is 9' from the wall and 6' from the foot of the ladder. find the height of the wall​

A Ladder Rests Against The Top Of A Wall. The Head Of A Person 6 Feet Tall Just Touches The Ladder The

Answers

Answer 1

Answer:

15 ft

Step-by-step explanation:

Let the height of the wall be represented bad x

Applying the theorem of similarity, we would have the following equation:

[tex] \frac{x}{6} = \frac{9 + 6}{6} [/tex]

[tex] \frac{x}{6} = \frac{15}{6} [/tex]

[tex] \frac{x}{6} = \frac{5}{2} [/tex]

Cross multiply

[tex] x*2 = 5*6 [/tex]

2x = 30

Divide both sides by 2

x = 15

Thus, the height of the wall = 15 ft


Related Questions

GreatestCommonFactor of 18 and 35

Answers

Answer:

1

Step-by-step explanation:

Hope this helps

What is the image of (−8,−8) after a dilation by a scale factor of 1/2 centered at the origin?

Answers

Answer:

(-4,-4)

Step-by-step explanation:

Since this is centered at (0,0), we have to multiply the x and the y coordinates by the scale factor.

-8 × 1/2 = -4

The triangle is rotated 90 degrees clockwise around the pount (0,0)

Answers

Answer:

(2,6)

Step-by-step explanation:

Option:B

The triangle is rotated 90 degree clockwise around the point (0,0). The point is (-6,2) is made to rotate. The image so formed is at the point (2,6).

flips a fair coin until a tail first appears, and if the number of tosses equals m, then Tom gets a payoff for 2 m pounds. Calculate the expected value of his payoff.

Answers

Answer: the expected value of Tom's payoff is

Step-by-step explanation:

Given the data in the question,

E[x] = mp                                        

where p = 1/2

Now Tom gets payoff pounds until a tail first appears = 2m pounds

so

E[x] = m × 1/2 × 2m

E[x] =

Therefore the expected value of Tom's payoff is

8. Ms. Morgan is a science teacher. She found that 30% of her 120 students are athletes. Mr. Gregory is a math teacher. He found that 27, or 15%, of his students are athletes. Of the part, the whole, and the percent, which information is still unknown to Ms. Morgan? Find this unknown value. a. b. Of the part, the whole, and the percent, which information is still unknown to Mr. Gregory? Find this unknown value.​

Answers

For ms Morgan it tells you 30% and 120 students so the thing you don’t know is the part.
30% of 120 is 36

For mr Gregory it tells you 27 is 15% so you don’t know the total amount of students he has (whole)
27 is 15% of 180

Answer:

A=30%

B=27

Step-by-step explanation:

A triangle has one angle that measures 42°. Which of the following could be the measures of the other two angles?(1 point) 54° and 84° 42° and 42° 90° and 58° 102° and 216°

Answers

Answer:

54° and 84°

Step-by-step explanation:

i just took test

Find the slope intercept equation of the line

PLEASE HELP ME!!!!!

Answers

Answer:

y = -x + 6

Step-by-step explanation:

Slope-intercept form:

y = mx + b, where m is slope and b is y-intercept

We see on the graph y-intercept is b = 6,  point (0.6)

To find the slope we need a second point, choosing point (5, 1)

Using slope formula:

m = (1- 6)/(5 - 0) = -5/5 = -1

So the line is:

y = -x + 6

Answer:

y = -4/5x + 5

Step-by-step explanation:

the formula for slope intercept is y=mx+b.

m represents the slope of the line and b is the y intercept. all you have to do is replace those variables.

the y intercept is the point where the line crosses the y-axis (the line going up and down on the graph). (0,5) is the y intercept and so 5 would replace b in y=mx+b

so far we have y=mx+5

The slope is the vertical change between two points is called the rise, and the horizontal change is called the run. Starting from a point on the line you would move vertically until you're in line with another point. In this case, let's just use (0,5) from before. You would go up four to line up with a point. Then, move horizontally to meet up with the point and count the units, which is five here. And so, the slope would be 4/5.

And then you get the equation:

y=4/5x+b

jester has a piece of wood measuring 1 and 2/3 m.he needs to cut in pieces measuring 3/4 m. long.how many pieces of wood did jester cut.​

Answers

Answer:

2

Step-by-step explanation:

Given that,

Jester has a piece of wood measuring 1 and 2/3 m = 5/3 m

He needs to cut in pieces measuring 3/4 m

We need to find the number of pieces. Let there are x no. of pieces.

[tex]x=\dfrac{\dfrac{5}{3}}{\dfrac{3}{4}}\\\\=\dfrac{5}{3}\times \dfrac{4}{3}\\\\=2.23\[/tex]

or

x = 2

So, he will cut it into approx 2 pieces.

Ryan planted 1/6 of his garden with green peppers and 1/6 of his
garden with red peppers. He said that he planted 1/3 of his garden
with peppers. Draw a model and a number line to show that he is
correct.

Answers

Answer:1/6 plus 1/6 is 1/3

Step-by-step explanation:

SOMEONE PLEASE PLEASE HELP ME ON THIS!!

Answers

X=22

14 plus 8 gives you x

[tex]\frac{x}{20} =\frac{14}{8} \\x=\frac{14}{8} \times 20=35[/tex]Answer:

35

Step-by-step explanation:

The angle measurements in the diagram are represented by the following expressions.
B
А
Solve for x and then find the measure of

Answers

Answer:

[tex]x = 20^{\circ}[/tex]

[tex]\angle A = 150^{\circ}[/tex]

Step-by-step explanation:

Given

[tex]\angle A = 8x - 10[/tex]

[tex]\angle B = 3x + 90[/tex]

See attachment

From the attachment A and B are vertically opposite.

This implies that:

[tex]\angle A = \angle B[/tex]

Substitute values for A and B

[tex]8x - 10 = 3x + 90[/tex]

Collect Like Terms

[tex]8x - 3x = 10 + 90[/tex]

[tex]5x = 100[/tex]

Solve for x

[tex]x = \frac{100}{5}[/tex]

[tex]x = 20^{\circ}[/tex]

Substitute 20 for x in [tex]\angle A = 8x - 10[/tex]

[tex]\angle A = 8 * 20 - 10[/tex]

[tex]\angle A = 150^{\circ}[/tex]

Which graph represents all of the solutions of

Answers

Step-by-step explanation:

Solve the inequality for b

-15b <= 45 divide both sides by -15, since you're dividing by a negative number switch the direction of the sign.

b >= -3

So, your number line is all values of b greater than or equal to -3. Since it is including -3, the circle will be filled and increase to the positive.

a Ford f 150 truck is consider a half ton truck because that is how much it can haul . how many pounds can the truck haul ​

Answers

Answer:

1,000 pounds

Step-by-step explanation:

One ton is 2,000 pounds so half of one is a 1,000.

can someone older tell me if i should drop out of high school and why or not

Answers

Hello there maybe you shouldn't drop out of highschool because you might find some opportunities and um its your choice.

A weather report stated that the monthly rain amounts for the past three months were 15.82 inches, 17.4 inches, and 9.56 inches.
What is the total amount of rainfall for the three months?
A. 27.12 inches
B. 41.178 inches
C. 42.42 inches
D. 42.78 inches

Answers

Answer:

42.78 inches

Step-by-step explanation:

The anount of rainfall for the past three months are

15.82 inches

17.4 inches

9.56 inches

Therefore the total amount of rainfall for the three months can be calculated as follows

= 15.82+17.4+9.56

= 42.78

Hence the total rainfall for three months 42.78 inches

I think this is right but want to check need help 25 points!!!

Answers

Answer:yes your Most definitely correct

Step-by-step explanation:

The value of the square root of 14 is between which two integers?

Answers

3 and 4

3x3=9
4x4=16
14 is between 9 and 16.

Solve.
-|-10|+ (-3) + |5|=
A. -18
B-8
C. 8
D. 12
E18

Answers

Answer:

The answer is for-|-10|+(-3)+|5|=-8 which is B

Evaluate x - 20 when x=3

Answers

Answer:

-17

Step-by-step explanation:

Plug in 3:

3 - 20 =

Solve:

3-20 = -17

Answer:

-17

Step-by-step explanation:

I replaced 3 for x, I solved the equation 3-20, which is equal to -17

There are two identical bottles. One bottle contains 2 green balls and 1 red ball. The other contains 2 red balls. A bottle is selected at random and a single ball is drawn. What is the probability that the ball is red

Answers

Answer:

2/3

Step-by-step explanation:

P(b1) = probability of bottle 1 = 1/2

P(b2) = probability of bottle 2 = 1/2

Bottle 1 = 2 green, 1 red ; total = 3

P(red ball1) = 1/3

Bottle 2 : red balls = 2, total balls = 2

P(red ball2) = 2/2 = 1

P(red ball) = [p(b1) * p(redball1)] = 1/2 * 1/3 = 1/6

P(red ball) = [p(b2) * p(redball2)] = 1/2 * 1 = 1/2

1/6 + 1/2 = (1 + 3) / 6 = 4/6 = 2/3


Between what two multiples of ten is 328

Answers

Answer:

It's between 32 (which is 320) and 33 (which is 330).

Step-by-step explanation:

328 / 10 = 32.8

328 is between the multiple 320 and 330

I NEED HELP!!!!! :)))))

Answers

Answer:

in very much deed you do need help :)))))))

Answer:

Area of the triangle is :-----

[tex] \huge\boxed{\frac{1}{2} \times base \times height} \\ [/tex]

[tex] \frac{1}{2} \times 10 \times x = 50 \\ x = \frac{50 \times 2}{10} \\ \boxed{x = 10}[/tex]

10 units is the right answer.

24/7 as a fixed number

Answers

Answer: 24/7 as a mixed number is 3 3/7

Answer:

3 3/7 (mixed number)*

A line passes through the origin and has a slope of 1/2 witch of the following points does the line not pass threw

Answers

Step-by-step explanation:

ahhhhhh let's see probably 1,4

Indira is using a number line to add Negative 1 + (negative 3). She begins by showing –1 on the number line, as shown below.

A number line going from negative 5 to positive 5. The area between negative 1 and 0 is highlighted.

What is the sum of Negative 1 + (negative 3)?
–4
–3
2
3

Answers

Answer= -4

-1+-3=-4

Step by step-
Add like normal then add the sign since both numbers are negative.
3+1= 4 then add the sign

Answer:

-4

Step-by-step explanation:

what is the quotient? can someone please help.

Answers

Answer:

-3

Step-by-step explanation:

hope this helps

there are 36 playing tag at recess. this is 6 times as many playing hopscotch. which model shows this comparison?

i got the top one to the left (checking my answer)

Answers

Answer:

The top left one is correct.

Step-by-step explanation:

We can rewrite this as an algebraic expression simply so it's easier to read.

Let's say hopscotch is [tex]h[/tex]. Tag is 6 times [tex]h[/tex], or [tex]6h[/tex].

That means for every 1 unit of hopscotch, there are 6 units of tag.

The top left one is correct.

Alisa programs her robot to make two moves on a line.
Positive numbers move the robot forward and negative
numbers move the robot backwards. First, it moves
117 cm. Then, it moves - 241 cm. what is the position of the robot relative to its start position
ANSWER ASAP PLSSS

Answers

117-241=-124
You need to have the same difference from the starting point for both numbers.

Which expression is equivalent to the measure of <4 in the image below?
M<1+m<2
M<1+m<3
M<2+m<6
M<5+m<6

Answers

Answer: a

Step-by-step explanation:

Multiply The polynomials. (3x^2+4x+4)(2x-4)

Answers

Answer:

6x^3 - 4x^2 - 8x - 16

Step-by-step explanation:

6x^3 + 8x^2 + 8x - 12x^2 - 16x - 16

combine

6x^3 - 4x^2 - 8x - 16

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