A 32-foot ladder leans against a building. The distance between the bottom of the ladder and the base of the building is
8.5 feet. What is the height, in feet, from the ground to the place on the building that the ladder touches? Round your
answer to the nearest tenth.
Answers
Answer:14
Step-by-step explanation:
happy 5685757
The height at which the ladder touches the building is required.
The height of building where the ladder touches the building is 30.9 feet.
Pythagoras theorema = Required height
b = Distance between the bottom of the ladder and the base of the building = 8.5 feet
c = Length of ladder = 32 feet
From the Pythagoras theorem we have
[tex]a^2+b^2=c^2\\\Rightarrow a=\sqrt{c^2-b^2}\\\Rightarrow a=\sqrt{32^2-8.5^2}\\\Rightarrow a=30.9\ \text{feet}[/tex]
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Related Questions
Fill in the blank so that the ratios are equivalent. 3:9 and 6:
Answers
Answer: 18
Step-by-step explanation: The ratio 3:9 is equivalent to 1:3. This means that whatever number on the left side of the ratio should be multiplied by 3 to get the one on the right. 6 x 3 = 18.
The value of the unknown number for the fraction is equal to 18.
What are ratios and proportions?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.
Given that the ratio is 3:9 then the value of the unknown number will be calculated as,
The ratio 3:9 is equivalent to 1:3. This means that whatever number is on the left side of the ratio should be multiplied by 3 to get the one on the right.
The unknown number will be,
6 x 3 = 18.
Therefore, the value of the unknown number for the fraction is equal to 18.
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I NEED HELP PLEASE !!!!
Answers
Answer:
I'd say D, if I'm wrong please let me know. but I'm 100% sure it's D
Fill in the blank. Given below, you can conclude that OD is congruent to _______.
A. AB
B. circle O
C. OB
D. EF
Answers
Answer:
c
Step-by-step explanation:
The line segment OD is congruent to line segment OB. Therefore, option C is the correct answer.
What is the relation between equal chords and radius?Equal chords of a circle are equidistant from the center of the circle.
From the given figure, AC=EF=9.07.
So, AC and EF are equal chords.
Since, the chords are equal, they are equidistance from center.
Then, OD=OB
Therefore, option C is the correct answer.
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Which expression is equivalent to -15x + 39?
Answers
Answer:
56x
Step-by-step explanation:
i think
Who ever answers this first gets brainly
Answers
Answer:
d
Step-by-step explanation:
Sasha bought 12 pounds of blueberries. She put the same amount of blueberries into each of 5 bags, with none left over. Which choice correctly describes the amount of blueberries that Sasha put into each bag?
A. between 2 and 2 1/3 pounds
B. between 3 and 3 1/3 pounds
C. between 2 1/3 and 2 2/3 pounds
D. between 2 2/3 and 3 pounds
Answers
Answer:
Step-by-step explanation:
The number of blueberries that Sasha put into each bag will be 2 ²/₅ pounds. Then the correct option is C.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Sasha bought 12 pounds of blueberries. She put the same amount of blueberries into each of the 5 bags, with none left over.
⇒ 12 / 5
⇒ (10 + 2) / 5
⇒ 10 / 5 + 2 / 5
⇒ 2 ²/₅
The number of blueberries that Sasha put into each bag will be 2 ²/₅ pounds. Then the correct option is C.
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A man is filling an empty 5-gallon bucket with water at a constant rate. there are 2.4 gallons of water in the bucket after filling the bucket for 12 minutes. At what rate, in gallons per minute, is the man filling the bucket ?
Answers
Answer: The answer is 0.2
Step-by-step explanation: 2.4g / 12 minutes
0.2g/minutes
Carla plumbing charges $25 for a service call and $28 per hour, h, for labor for any repair. The total cost , t, for a repair can be calculated using the equation below
Mr Callahan paid a total of $165 for repair. How many hours did it take to complete his repair
Answers
Answer:
It took 5 hours
Step-by-step explanation:
Because 28 times 5 is 140 plus 25 for the call is 165.
The perimeter of a square is 48 cm.
What is the length of the diagonal?
Answers
Answer:
The answers is the following d≈16.97cm
Step-by-step explanation:
During their field trip the students had the following lunch options. For their main meal they had four options: Sandwich, Burger, Pizza and Chicken Tenders. For drinks their options was limited to two options Water and Gatorade. And for their side order they had two options: chips or fries. What is the probability than the next person will choose to have Chips for their meal?
Answers
Answer:
50%
Step-by-step explanation:
beacuse their are only 2 options which means 50% for each option. so when the student goes to pick there is a 50% chance their pick either one.
Please help need done fast!
Answers
How do you write 25/50
as a percentage?
Answers
Answer:
50%
Step-by-step explanation:
Converting a fraction such as 25/50 into a percent is pretty easy.
All you have to do is divide the numerator by the denominator and then multiply that result with 100 like so:
(Numerator/Denominator)*100
Then you enter 25/50 into the above formula, you get (25/50)*100 which calculates to:
50%
:)
Hope this helps!
What is 8.04 x -7.39
Answers
Answer:
-59.4156
Step-by-step explanation:
i only got this partially correct what did I get wrong
Answers
Answer:
I don't see anything wrong
Step-by-step explanation:
It maybe just me but I don't know what you got wrong
30 POINTS! PLEASE HELP ME OUT! Find the values of the variables in the parallelogram. The diagram is not to scale.
Answers
Answer:
B
Step-by-step explanation:
X = 29 by the alternate interior angles
y = 49 by the triangle sum theorem
z = 102 because the opposite sides of a parallelogram are congruent
Answer:
b. x = 29°, y = 49°, z = 102°Isabel’s class has collected 90 cans in a food drive. They plan to sort the cans into n bags, with an equal number of cans in each bag. Write an expression to show how many cans there will be in each bag.
Answers
Answer:
90/n
Step-by-step explanation:
There are 90 cans, and each bag MUST have an equal amount of cans, so if we had, let's say 2 bags, then there would be 45 bags. We got this by doing 90/2. 2 being n, the expression would be 90/n.
I need help with geometry
Answers
Answer:
It 12
Step-by-step explanation:
This is because the scale factor between the triangles is 1.75, so I divide 21 by 1.75 and got 12
Hope this helped
We first have to find 2 pairs of sides that proportional.
35/20=42/24=7/4
and 21/b should be 7/4 as well because if we want the triangles to be similar the sides should be in proportion.
21/b=7/4
84=7b
b=12
Done!
Hope this helped, any questions about this just ask in the comments and I will answer.
What is the value of x?
Enter your answer in the box.
x =
NOTE: Image not drawn to scale.
Triangle G E H with segment E D such that D is on segment G H, between G and H. Angle G E D is congruent to angle D E H. E G equals 44.8 millimeters, G D equals left parenthesis x plus 4 right parenthesis millimeters, D H equals 35 millimeters, and E H equals 56 millimeters.
Answers
Answer: The value of x is 24
Step-by-step explanation:
I took the test trust me
4,518 is divisible by 6
a. true
b. false
Answers
Answer:
true
Step-by-step explanation:
4,518÷6=753
ignore this answers have to be at lest 20 characters
Solve for x. Trapezoids
Answers
Answer:
I think x=3.9
Step-by-step explanation:
I think the midline is the bottom value divided by 2 so that means 61/2=30.5. then 30.5-11=19.5. then 19.5/5=3.9
pls answer i need help
Answers
Answer:
the first one is 2/4 and 3/6
the second one is 4/6 and 6/8 and the equation is
3/4 times 4/6 = .5
Step-by-step explanation:
John earns $28.50 tutoring for 3 hours. At this rate, how much money will he earn in 8 hours of tutoring? (Use the $ in your answer).
Answers
Answer:
$76
Step-by-step explanation:
Hope it helps! If so can I get brainliest
i need help solving this question
Answers
Answer:
4 1/6
Step-by-step explanation:
First, you have to convert any mixed numbers to fractions.
Then your initial equation becomes:
25/8÷3/4
Second, you have to apply the fractions formula for division.
= 25 x 4
------------- (You will be dividing.)
8 x 3
=100/24
And if you simplify 100/24, the answer will become:
4 1/6
I hope this helps. :)
Please help will mark brain!
Answers
2- UTV
Hey, guys does your tutoring thing still work?
Answers
Answer:
well we have school online, so yea i guess it still works, unless you're talking about something else lol
Answer:
yeah minework
Step-by-step explanation:
HELP PLEASE PLEASE!!!
Answers
2.) area of US paper = 603.22cm
area of Europe paper = 623.7cm
therefore the standard sheet of Europe paper has a greater area
hope this helps :)
Michael sold 24 fruit bars for the band fundraiser he earned $18 for his band uniform how many more fruit bars would he need to sell on order to earn another $5.25
Answers
Answer:
New number of fruits sold = 7 fruits
Step-by-step explanation:
Given:
Total number of fruits = 24
Amount raised = $18
More amount need to earn = $5.25
Find:
New number of fruits sold
Computation:
New number of fruits sold = [24 / 18]5.25
New number of fruits sold = 6.9999
New number of fruits sold = 7 fruits
The difference between six times a
number and one is seventeen
Answers
Answer:
3
Step-by-step explanation:
17 + 1 = 18
18/6 = 3
t The function f(t) = 390(1.0085) 365 represents the change in a quantity over t days. What does the constant 1.0085 reveal about the rate of change of the quantity?
The function is (growing/decaying) exponentially at a rate of _% evey ___.
Answers
Answer: The function is *growing* exponentially at a rate of *0.85%* every *year*
Step-by-step explanation:
The function is growing exponentially at a rate of 0.85% every year.
What is the exponential decay equation?The exponential decay equation is given by:-
y = (1 ± r)ⁿ
Where r is the rate of decay and A is the initial amount and n is the time period.
The function is given in the question below as:
The function f(t) = 390(1.0085)³⁶⁵ ....(i)
This represents the change in quantity over t days.
As per the given exponential decay equation,
⇒ f(t) = 390(1.0085)³⁶⁵
We can above function rewrite as:
⇒ f(t) = 390(1 + 0.0085)³⁶⁵
⇒ f(t) = 390(1 + 0.85/100)³⁶⁵
⇒ f(t) = 390(1 + 0.85%)³⁶⁵
Compare to the standard exponential decay equation, and we get
⇒ r = 0.85%
Therefore, the function is growing exponentially at a rate of 0.85% every year.
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What’s the value of x?