a 9ft ladder is placed 4.5 feet from the base of a wall. How high up will the ladder reach? Round to the nearest hundredth.

Answers

Answer 1

Answer:

[tex]\huge\boxed{7.79 \ \text{feet}}[/tex]

Step-by-step explanation:

We know that we have a 9 foot long ladder resting upon a wall, with an unknown height, but the ladder is 4.5 feet away from the wall.

This can be represented as a triangle, where x is the unknown side.

    |\

    |  \

x   |    \      9

    |      \

    |        \                  

    |_____\

    4.5

We can use The Pythagorean Theorem to find the value of x. The theorem states that [tex]a^2+b^2=c^2[/tex], where a and b are the lengths of the legs and c is the length of the hypotenuse.

However, we already know the hypotenuse and one leg. Therefore we can substitute inside the equation to find the missing value.

[tex]a^2 + 4.5^2 = 9^2\\\\a^2 + 20.25 = 81\\\\a^2 = 60.75\\\\a \approx 7.79[/tex]

Hope this helped!


Related Questions

help please
it would help alot​

Answers

Answer:

5t

Step-by-step explanation:

Step 1:

- 5( t^5)²/ - 5t^9      Equation

Step 2:

- 5t^10 / - 5t^9        Multiply

Answer:

5t         Subtract and Divide

Hope This Helps :)

Answer:

5t remember sumbtract and divide braine

Step-by-step explanation:

Step 1:

- 5( t^5)²/ - 5t^9      Equation

Step 2:

- 5t^10 / - 5t^9        Multiply

PLEASE PLEASE PLEASE HELP!!! I NEED MY GRADE TO BE UP BY BEFORE TOMORROW THESE ARE ALL THE POINTS I HAVE! 35 POINTS!!! Match the descriptions/sequences below, not every option ((a) through (j)) will be used.

1. A arithmetic sequence that starts at 1 and has a common difference of 3

2. A geometric sequence that starts at 1 and has a common ratio of 3

3. 15, 19, 23, 27, 31, ...

4. 3, 27/3, 27, 243/3, 243, ...

5. -2, 16/4, -8, 16, -32, ...

6. 8, 40, 200, 1000, 5000, ...

7. 1432, 143.2, 14.32, 1.432, ...

Options:

(a) geometric sequence; common ratio of -2

(b) arithmetic sequence; common difference of 4

(c) geometric sequence; common ratio of 3

(d) 1, 4, 7, 10, 13, ...

(e) 1, 3, 6, 9, 12, ...

(f) geometric sequence; common ratio of 0.1

(g) geometric sequence; common ratio of 2

(h) 1, 3, 9, 27, 81, ...

(i) geometric sequence; common ratio of 5

(j) geometric sequence; common ratio of 0.01

Answers

Answer:

1. A arithmetic sequence that starts at 1 and has a common difference of 3

(d) 1, 4, 7, 10, 13, ...

2. A geometric sequence that starts at 1 and has a common ratio of 3

(h) 1, 3, 9, 27, 81, ...

3. 15, 19, 23, 27, 31, ...

(b) arithmetic sequence; common difference of 4

4. 3, 27/3, 27, 243/3, 243, ...

(c) geometric sequence; common ratio of 3

5. -2, 16/4, -8, 16, -32, ...

(a) geometric sequence; common ratio of -2

6. 8, 40, 200, 1000, 5000, ...

(i) geometric sequence; common ratio of 5

7. 1432, 143.2, 14.32, 1.432, ...

(f) geometric sequence; common ratio of 0.1

Lorenzo has 4 packages of granola bars. Each package has 10 bars. He eats one bar from each package.

Answers

Answer:

4x10-4=36

Step-by-step explanation:

Lorenzo ate 1 bar from each. so 36 is left.

Answer:

4 × 10 - 4 = 36 granola bars

Step-by-step explanation:

4 packages with 10 bars each means 40 bars (4 packages × 10 bars each = 40 bars total)

one bar from each package

there are 4 packages so if he eats only one from each then he eats 4 bars total

40 bars total - 4 bars he ate = 36 bars left over

HELPP PLZZ ASAP I DON'T UNDERSTAND AND I SUCK AT MATH HELPP ASAP GIVING POINTS AND BRAINLIEST!!!!

Answer the following questions. When you are finished, submit this test to your teacher for full credit.

1. The county fair charges $1.25 per ticket for the rides. Jermaine bought 25 tickets for the rides and spent a total of $43.75 at the fair. Jermaine spent his money only on ride tickets and fair admission. The price of the fair admission is the same for everyone. Use y to represent the total cost and x to represent the number of ride tickets.
(a) Define your variables.

(b) Write a linear equation that can be used to determine the cost for anyone who only pays for ride tickets and fair admission.

(c) Explain your answer to Part 1b.
Answer:

2. A line goes through the points, and .
(a) What is the slope of the line? Show your work.
(b) Write the equation of the line in point-slope form. Show your work.
(c) Write the equation of the line in slope-intercept form. Show your work.
Answer:

3. Line A is represented by the equation, .
(a) Write in slope-intercept form the equation of a line that is parallel to Line A and passes through the point, . Show your work.

(b) Write in slope-intercept form the equation of a line that is perpendicular to Line A and passes through the point, . Show your work.
Answer:

Answers

Answer:B

Step-by-step explanation:

I HAVE GOT YOU!

Rich earns $35 per week mowing lawns in his neighborhood. Which expression can be used to show how much money he earns in 8 weeks?

(8+30) + (8+5)

(8x30) + (8x5)


PLEASE HELPPPPP

Answers

Answer:

(8x30) + (8x5)

Step-by-step explanation:

Earning per week

$35

Earning in 8 weeks

35 * 8 = (30 + 5)*8 = 30*8 + 5*8

Second option is correct

There are 72 eight grade students and 84 sixth grade students participating in the Fun Run competition. The students will be put into groups among their own grade and into the largest possible equal groups with no students left over. How many students will be in each group? Group of answer choices

Answers

Answer:

12 students

Step-by-step explanation:

Given that:

Eighth grade student = 72

Sixth grade student = 84

To group the students into the largest possible equal group with no student left, obtain the greatest common factor of the number of sixth grade and eighth grade student

Factors of 72:

72 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36

84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 81

The greatest factor common in both numbers is 12.

Due at midnight help

Answers

Answer:

h = -8

Step-by-step explanation:

solve for h by simplifying both sides of the equation, then isolating the variable.

Select the correct answer from each drop-down menu.
Consider this polynomial equation.
6(x - 3)(x2 + 4)(x + 1) = 0
Use the equation to complete this statement.
The equation has
solutions. Its real solutions are a

Answers

Answer:

This equation has 4 solutions, its real solutions are x = -1 and 3

Step-by-step explanation:

Correct for Plato Users

The equation has 4 solutions and its real solutions are 3, -1.

The given polynomial equation is 6(x - 3)(x² + 4)(x + 1) = 0.

What does a real solution mean in math?

A real solution in algebra is simply a solution to an equation that is a real number.

Now, 6(x - 3)(x² + 4)(x + 1) = 0

⇒(x - 3)(x² + 4)(x + 1) = 0

⇒(x - 3)=0, (x² + 4)=0 and (x + 1) = 0

⇒x=3, -1 and ±√-4.

Therefore, the equation has 4 solutions and its real solutions are 3, -1.

To learn more about the polynomial equation visit:

https://brainly.com/question/20630027.

#SPJ5

Claire and Richard are both artists who paint canvas. Claire uses the polynomial 50x^2+250 to decide how much to charge for her paintings. Richard uses the polynomial 40x^2+350 to decide how much to charge for his paintings.In each polynomial x is the height of the painting in feet. To the nearest tenth for what height will both Claire and Richard charge the same amount for a painting?

Answers

Answer:

3.2 ft

Step-by-step explanation:

50x²+250=40 x²+350

50x²-40x²=350-250

10x²=100

x²=100/10=10

x=√10≈3.1623≈3.2 ft


On Monday, Allie's bank account balance was -$29. On Tuesday, her account balance was less than It was
on Monday
Use absolute value to describe Allie's balance on Tuesday as a debt.
In this situation, |-$29 represents a debt of $||
On Tuesday, Allle had a debt of 2
than $29.

Answers

On Tuesday her account balance would be less then -24 that means her debt would be more

answer it and I'll give brainliest and 5 stars​

Answers

Answer:

1 over x 2

Step-by-step explanation:

kdbxciu ejgkvbsdv evdjhcxv

What is the measure for the following angle? ​

Answers

Answer:

The answer is 80 degrees, I believe

Every musician in the band plays either the flute or the drum (but not both). The ratio of flutists to drummers is 7 : 1. If 2 drummers join the group and 6 flutists quit, the ratio of flutists to drummers would be 3 : 1. How many musicians were in the original ensemble? 4. A sloth is swimming in the Charles River at 20 feet per minute. How fast is the sloth swimming in smoots per hour? One smoot is equal to 5 feet, 7 inches. Write your final answer as a simplified fraction.

Answers

Answer:

Number of drummers in original ensemble  [tex]=3[/tex]

Number of flutists in original ensemble [tex]=21[/tex]

Step-by-step explanation:

The ratio of flutists to drummers is [tex]7:1[/tex]

Let number of flutists and drummers be [tex]7x[/tex] and [tex]x[/tex].

As 2 drummers join the group and 6 flutists quit,

Number of drummers = [tex]x+2[/tex]

Number of flutists = [tex]7x-6[/tex]

New ratio of flutists to drummers = [tex]3:1[/tex]

So,

[tex]\frac{7x-6}{x+2}=\frac{3}{1}\\ 7x-6=3(x+2)\\7x-6=3x+6\\7x-3x=6+6\\4x=12\\x=3[/tex]

So,

Number of drummers in original ensemble  [tex]=x=3[/tex]

Number of flutists in original ensemble [tex]=7x=7(3)=21[/tex]

Answer:

the answer is 5!!!

Step-by-step explanation: hope this helps

I NEED HELP PLEASE HELP ME OUT IF YOU CAN

Answers

Answer:

The answer is D

Step-by-step explanation:

R and A both have the one line thingy and s and b have both the 2 line thingies. so <BAC=<SRT

What is the answer to: 5t+16=6-5t

Answers

Answer:

[tex]\boxed {t = -1}[/tex]

Step-by-step explanation:

Solve for the value of [tex]t[/tex]:

[tex]5t + 16 = 6 - 5t[/tex]

-Take [tex]5t[/tex] and add to [tex]5t[/tex]:

[tex]5t + 16 + 5t = 6 - 5t + 5t[/tex]

[tex]10t + 16 = 6[/tex]

-Subtract [tex]16[/tex] to both sides:

[tex]10t + 16 - 16 = 6 - 16[/tex]

[tex]10t = -10[/tex]

-Divide both sides by [tex]10[/tex]:

[tex]\frac{10t}{10} = \frac{-10}{10}[/tex]

[tex]\boxed {t = -1}[/tex]

So, the value of [tex]t[/tex] is [tex]-1[/tex].

This graph shows the solution to which inequality?

Answers

Answer:

y > 1/3 x - 2

Step-by-step explanation:

...

Please help i will give you brainlest

Answers

Answer:

8 the answer is 8 if u need help just tell me cuz i just did this quiz and i got a 90 and i dont think urs is diffrent then mine

Step-by-step explanation:

Brody had 3 pounds of blueberries. Brody let his friend Trudy eat 1/4 of the blueberries. How many pounds of blueberries did Trudy eat?​

Answers

Answer:

Trudy ate 3/4 a pound

Step-by-step explanation:

First, turn the 3 pounds into a fraction greater than 1. So 3 =3/1

Then multiply to see how many OF the blueberries Trudy eats (of means to multiply)

3/1 x 1/4 = 3/4

Hope this helps!

HELP ME SOLVE THIS PROBLEM PLEASE PLEASE

Answers

Answer:

C)  y=4x+1

Step-by-step explanation:

y=4x+1

Answer:

option c) y = 4x + 1

Step-by-step explanation:

(-1 , -3)   ; (2 , 9)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

          [tex]= \frac{9-[-3}{2-[-1]}\\\\=\frac{9+3}{2+1}\\\\=\frac{12}{3}\\\\= 4[/tex]

Equation : y - y₁ = m(x - x₁)

             y - 9 = 4(x - 2)

             y - 9 = 4x  - 8

                 y  = 4x - 8 + 9

y = 4x + 1

         

Write an equation for a line that is parallel to 3y = 2x - 3 and passes through the point (-3, 4).

Answers

Answer:

Step-by-step explanation:

You keep the same slope since it's supposed to be parallel. But first you need to write it in slope intercept form. So the y can't have a number in front of it, so you must divided everything after the equal sign by the 3. So the equation becomes y=2/3x−1. Now you plug in the points to find a parallel equation using point slope form y−(4)=(23)(x−(−3)). Then you solve that and you get y=2/3x+6.

What's the slope and y-intercept of the 2 points: (1, -7) (-5, 0)

Answers

Answer:

Slope is -7/6. Y - intercept is -35/6

Step-by-step explanation:

Hope this helps!

Jennifer has 6 cups of sugar total. How many 1/4 cups of sugar does she have?

Answers

Answer:

24 1/4 cups of sugar.

Step-by-step explanation:

Simply take 6 and divide it by 1/4 to find how many 1/4 cups Jennifer has:

6 ÷ 1/4 = 24

She need 24 1/4 or 25.5, 1/4 cups of sugar

Find the percent of change: original:80 new:64

Answers

First we need to know the difference between them:
80 − 64 = 16

Now we need this difference as a percentage:
16
64
×
100
=
25 %

Explanation:
We divide by 64 because we want to know how much the number has changed from its original value.
We multiply by 100 because 'per cent' means 'how many out of 100'.

Explanation:
The formula for calculating the percent change in a value between two points in time is:
p=N−O/ O⋅ 100
Where:
p is the percent change - what we are solving for in this problem.
N is the New Value - 80 in this problem.
O is the Old Value - 64 in this problem.
Substituting and solving for
p gives:
p = 80 − 64/ 64 ⋅ 100
p = 16 /64 ⋅100
p = 1600 / 64
p = 25
The percentage change between 64 and 80 is a 25% increase.
So it’s 2

helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

B

Step-by-step explanation:

Realised I could stilll answer so i did, from what I can tell its b

The change in y over the change in x is the same as???

Answers

Rise over run...........
☝ over ‍♀️ ( rise over run )

What’s 1+1=
A.4
B.3
C.2
D.1

Answers

Answer: C

Step-by-step explanation:

1 + 1 is 2. So imagine taking one banana and one more banana and adding them together count how many bananas you would have together. One banana plus another banana would equal 2 bananas. You can also imagine, or use other objects when adding. So therefore the answer is 2, which is letter C.

Rectangle A measures 9 inches by 3 inches. Rectangle B is a scaled copy of Rectangle A.

Answers

Answer:

Stated below:

Step-by-step explanation:

3 inches by 1 inches or 6 inches by 2 inches. The explanation to this is simply just an equivalent ratio.

Hope I helped! ☺

A hat cost $20.
A customer has a 100-dollar bill.
The seller doesn't have change so he gets it from his neighbor.
After the customer leaves, they found out that the $100 was fake.
The seller returns the $100 to the neighbor.
How much money did the seller lose?

Answers

Answer:100

Step-by-step explanation:

The seller lost 100 dollars so I agree with the other person:)

state newton's 3rd law of motion​

Answers

Answer:

His third law states that for every action (force) in nature there is an equal and opposite reaction

Step-by-step explanation:

for example, if you push a brick wall using 30 newton to the right, the wall will push back at you with 30 newtons to the left

What are the similarities and differences between types of quadrilaterals? Plz help me in math exam ans his qnn i will mark as brainliesttt ⚠

Answers

Answer:

Look below

Step-by-step explanation:

There are many different kinds of quadrilaterals, but all have several things in common: all of them have four sides, are coplanar, have two diagonals, and the sum of their four interior angles equals 360 degrees.

Some differences include the shape and the number of parallel sides each quadrilateral has

Hope this helps :)

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