Pls help!! will give brainiest to best answer!
Kevin tries to climb a wall with a ladder. The length of the ladder is 15 feet and it reaches only 12 feet up the wall. What is the distance between the base of the ladder and the wall?
Answers
C= the side across from the right angle.
Knowing this, we can fill in the other side we know and then solve for the side that we don’t know.
(12)^2 + b^2 = (15)^2
144 + b^2 = 225
b^2 = 81
Now we take the square root of each side to get b alone
b = 9
9 feet is your answer.
The solution is Option A.
The distance between the base of the ladder and the wall is 9 feet
What is a Triangle?
A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the triangle be represented as ABC
Now , the height of the wall = 12 feet
The measure of AB = 12 feet
The length of the ladder = 15 feet
The measure of AC = 15 feet
Now , the distance between the base of the ladder and the wall = BC
The measure of BC is given by the Pythagoras Theorem , where
Hypotenuse² = base² + height²
AC² = AB² + BC²
Substituting the values in the equation , we get
15² = 12² + BC²
Subtracting 12² on both sides of the equation , we get
BC² = 15² - 12²
BC² = 225 - 144
BC² = 81
Taking square roots on both sides of the equation , we get
BC = 9 feet
Therefore , the value of BC is 9 feet
Hence , the distance is 9 feet
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Related Questions
Tyler delivers newspapers. He collected $10 from each customer. He has 5 customers on each street, and he delivers to 4 different streets. How much money did Tyler collect?
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720 pt in a hour converted to quarts in a min
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1 quart = 2 pints
720/2 = 360 quarts per hour
1 hour = 60 minutes
360/60 = 6 quarts per minute
To convert 720 pints per hour to quarts per minute, divide the number of pints (720) by 2 to get quarts per hour (360), then divide by 60 minutes to find quarts per minute, resulting in 6 quarts per minute.
To convert 720 pints (pt) per hour to quarts (qt) per minute, first, we need to understand the relationship between pints and quarts. 1 quart is equal to 2 pints.
Therefore, to convert pints to quarts, we would divide the number of pints by 2. We also need to convert from per hour to per minute. Since there are 60 minutes in an hour, we divide the per-hour quantity by 60 to find the per-minute quantity.
Here's the step-by-step conversion:
Start with 720 pints per hour.
Since 1 quart is equal to 2 pints, divide 720 by 2 to convert to quarts. 720 2 = 360 quarts per hour.
To convert quarts per hour to quarts per minute, divide by 60 (since there are 60 minutes in an hour). 360 60 = 6 quarts per minute.
Therefore, 720 pints in an hour is equivalent to 6 quarts per minute.
Jason has 7 puzzles. Quincy has the same number of puzzles as Jason. How many puzzles do they have altogether? Solve. Write or draw to explain
Answers
14 boys and 21 girls will be equally divided into groups. Find the greatest number of groups that can be created if no one is left out.
Answers
What is 42% in simplest form?plz show me how to do it
Answers
42%= 42/100
42/100=2/2×21/50
So 21/50 is the simplest form of 42%
math question down below
Answers
for drain B your equation would be: 5n = 108
these are your equations because a number times the amount of water the drain drains per minute will equal 108
to solve use inverse operations and divide 108 by the amount of water the drain drains in one minutes
Drain A- 108/2 = 54
it takes 54 minutes for drain a to empty a pool with 108 gallons of water
Drain B- 108/5 = 21.6
it takes 21.6 minutes for drain b to empty a pool with 108 gallons of water in it
if G varies inversely as r, and G = 18 when r= 4, find G when r= 6
Answers
If g =18 when r = 4, then 18 = k/4. Solving for k, k = 72.
Then g = 72/r. If r = 6, g = 72/6 = 12 (answer)
One meter is approximately equal to 39.39 inches.About how many inches are in 3 meters? A 40 B 90 C 120 D 150
Answers
How do you write the equation?
Answers
She practices dancing x hours each day she goes to practice.
Since she practices 3 days per week, in a week she practices 3x hours.
In two weeks she practices 2(3x) hours, or 6x hours.
We are told she practices 12 hours in 2 weeks, so 6x must equal 12.
The equation is
6x = 12
We can solve it by dividing both sides by 6.
x = 2
She practices 2 hours per day.
Check:
2 hours per for 3 days = 2 * 3 hours = 6 hours in 1 week.
In 2 weeks, she practices 2 * 6 hours = 12 hours.
Our solution is correct.
form an equation and solve it to find the dimensions of the rectangle
(perimeter 48cm)
(height 2x-2)
(width 5x+4)
Answers
In this case, your equation would look like
2(2x-2)+2(5x+4)= 48 cm
Hope this helps!
For what value does 4x = (1/8)^x+5
Answers
Answer:Its B
-3
Step-by-step explanation:
PART ONE-----
Patel bought a model rocket kit from a catalog. The price of the kit was $124.95. The state sales tax of 7% was added, and then a $19 charge for shipping was added after the sales tax. What was the total amount Patel paid including tax and shipping costs?
PART TWO---
Patel received an allowance of $15 per week. How many weeks it will take him to purchase the kit?
Answers
Part two: About 11 weeks
Hope this helps!!
Vertex form of f(x)=1/2x squared
Answers
The vertex is (0,0).
Which fact would help you to solve for x in the diagram shown?
A) Angles in an equilateral triangle are congruent.
B) The sum of the interior angles in a quadrilateral is 360°.
C) Alternate interior angles formed by a transversal and parallel lines are congruent.
D) The exterior angle of a triangle is equal to the sum of the two remote interior angles.
Answers
Answer:
(A) Angles in equilateral triangle are congruent
Step-by-step explanation:
From the figure, it can be seen that in triangle ABD, [tex]AB=BD=AD[/tex] which means that all the sides of the triangle are congruent and by the definition of equilateral triangle, ΔABD will be an equilateral triangle.
Therefore, Using the property that Angles in equilateral triangle are congruent, we can find the value of x.
Thus, option A is correct.
Answer:
the person above me is correct
Mr. Jones bought a block of fudge that weighed 1/4 of a pound. He divided the fudge into 2 equal pieces. What was the weight of each piece of fudge? *
Answers
How to solve from 86 books to 150 books
Answers
I assume you're talking about percentage. What was the percentage increase from 86 books to 150.
Using the formula to find percentage increase, we will solve this:
{(86 - 150) / 86} × 100 = 74.42
So, the percent increase from 86 books to 150 is 74.42%
A gaming system is marked down from 290 to 188. What is the percentage of the discount?
Answers
(290-188)/290 = P/100
102/290 = P/100
290P = (102)(100)
290P = 10,200
Solve for P to find your answer.
The total cost for office expenses to run the organic strawberry farm varies directly with the number of months it is used. Which equation represents this scenario? https://coststudyfiles.ucdavis.edu//uploads/cs_public/c5/a1/c5a181af-8e1b-474a-9509-443c3cb223ed/strawberry2ndyrcc2011.pdf pages 15-16
Answers
Answer:
weed-hand
y=63x
$1,512.00
Step-by-step explanation:
Answer:
third option, second option, then first option
Step-by-step explanation:
just took the assignment
When John bought his new computer, he purchased an online computer help service. The help service has a yearly fee of $25.50 and a S10.50 charge for each help session a person uses. If John can only spend S170 for computer help this year, what is the maximum number of help sessions he can use this year?
Answers
So with 10.50 a session, you must divide, resulting in around 13.8 sessions.
13 sessions if you need a whole number.
Hope this helps
Marcy split her income from last week equally between paying her student loans, rent, and savings. She put $650 in savings. How much did Marcy earn last week?
Answers
Marcy's total weekly income was calculated by multiplying the amount she put in savings ($650) by the number of equal parts (3), resulting in a total of $1950 earned last week.
Explanation:To find out how much Marcy earned last week, we need to consider that she split her income equally into three parts: paying her student loans, rent, and savings. Given that she put $650 in savings, and each of the three parts is equal, we can calculate her total weekly income by multiplying $650 by 3 (the number of equal parts).
Total weekly income = $650 (amount put in savings) × 3
Total weekly income = $1950
Therefore, Marcy earned a total of $1950 last week.
What is the perimeter of a rectangle if the length of the short sides are 5", and the other sides are both y?
Answers
2(5) +2(y) =P
P-10=2y
(P/2) - 5 = y
Not sure how you wanted this to be set up but any of the answers above should work?
Please mark brainiest and good luck :D.
which equation shows y+1/5=3x in standard form?
Answers
These are the steps i followed
You always begin by the Given equation, which is in this case:
y+ = 3x
To remove the fraction, you multiply the whole equation by 5:
5y + 1 = 15x
Then, you move the "15x" the left-side of the equation, changing it's sign
-15x + 5y +1 = 0
You move the "1" to the right side, changing it's sign
-15x + 5y = -1
The answer is 15x-5y=1.
Six months after a divorce, the former wife and husband each take a test that measures divorce adjustment. The wife’s score is 63, and the husband’s score is 59. Overall, the mean score for divorced women on this test is 60 (SD = 6); the mean score for divorced men is 55 (SD = 4). Which of the two has adjusted better to the divorce in relation to other divorced people of their own gender? Explain your answer to a person who has never had a course in statistics
Answers
(63 – 60)/6 = 1/2
(59 – 55)/4 = 1
So, in relation to other divorced women, the score of 63 is only 1/2 SD above the average. But in relation to other divorced men, the score of 59 is 1 SD above the average. That means the husband has adjusted better to the divorce in the relation to other divorced people of his gender.
I need more help....sorry haha
Answers
number 8: 5/18-1/3=15/54-5/54=10/54 =5/27
Number 7: 11/12-9/10 = 110/120-108/120=2/120= 1/60
number 8: 5/18-1/3=15/54-5/54=10/54 =5/27
Find the sum or difference 1/4(q-12)+1/3(q+9)
Answers
Final answer:
To find the sum of 1/4(q-12)+1/3(q+9), distribute the fractions, combine like terms, and simplify to get the final answer of 7/12q.
Explanation:
The question requires finding the sum of two algebraic expressions involving the variable q. To solve this, we need to combine like terms after distributing the fractions through the parentheses. Here's the process:
Distribute 1/4 through (q-12): 1/4 * q - 1/4 * 12 = 1/4q - 3.
Distribute 1/3 through (q+9): 1/3 * q + 1/3 * 9 = 1/3q + 3.
Add the results together: 1/4q - 3 + 1/3q + 3.
Combine like terms: To add 1/4q and 1/3q you need a common denominator. The common denominator for 4 and 3 is 12, so convert fractions: 3/12q + 4/12q = 7/12q.
Combine constants: -3 + 3 = 0, so they cancel out.
The final answer is 7/12q.
Therefore, the simplified form of 1/4(q-12)+1/3(q+9) is 7/12q.
A company needs to take 330 sample sensor readings. If the sensor collects data at 5 1 2 samples per second, how long will it take the company to take all 330 samples?
Answers
It will only take the company about 60 seconds, or a minute to take all 330 samples, for 330/5.5 = 60.
Answer:
hmmm...
Step-by-step explanation:
Which expression is NOT equivalent to 8 ∙ x ∙ 2 ∙ y?
1. 8x + 2y
2. 16yx
3. 16xy
Answers
Wrong answer is option 1
__________________________________________
Note: " 8 * x * 2 * y = 16xy ".
So, choice 3): "16xy is correct".
Choice 2): "16yx" is also correct, since: "16xy = 16yx".
Choice 1)": is incorrect, so this is the incorrect answer.
to be sure. let's plug in a values, "3" for "x" ; and "4" for "y";
______________________________
Choice 1) " 8x + 2y" ; 8(3) + 2(4) = 24 +8 = 32 .
Now, try: "16xy". 16(3)(5) = 48(5) = 240.
Note that: "32≠40" .
____________________________________
So, Choice 1): "8x + 2y" ; is the correct answer.
______________________________________
what are the answers
Answers
13. 14x-14
15. 26x-50
13. 14x-14
15. -22x-50
Maya's school held an aluminum collection program in which they collected aluminum and brought it to be recycled. In the first week, Maya collected 4/20 lb of aluminum and her friend Abigail collected 7/8 lb. a. which girl collected more aluminum? b. how much aluminum did the two girls collect?
Answers
a)If Maya collected 4/20 lb of aluminum and her friend Abigail collected 7/8 lb Abigail collected more aluminum.
b) 43/40 lb of aluminum the two girls collect.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that, in the first week, Maya collected 4/20 lb of aluminum, and her friend Abigail collected 7/8 lb.
We have to simplify the expression,
Maya collected 0.2 lb of aluminum, and her friend Abigail collected 0.875 lb.
From the given fraction it is obtained as Abigail collected more aluminum.
The amount of aluminum did the two girls collect is,
=4/20+ 7/8
=43/40
Thus, If Maya collected 4/20 lb of aluminum and her friend Abigail collected 7/8 lb Abigail collected more aluminum and 43/4 lb of aluminum than the two girls collect.
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Can someone help me on number 42 please.
Answers
Answer:
there is only 40 num so i did 40 num
Step-by-step explanation:
√y=20
squaring both side
y=20²
y=400