A 10-foot ladder leans against a wall so that it is 6 feet high at the top. The ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up. How much higher is the top of the ladder now? (Hint: Let 8−2x be the distance from the base of the ladder to the wall.)
Answers
Answer:
Step-by-step explanation:
The Pythagorean Theorem holds for both positions.
The first configuration is an 6-8-10 right triangle.
The second configuration using the Pythagorean Theorem:
10^2 = (8-2x)^2 + (6 + x)^2
100 = 64 - 32x + 4x^2 + 36 + 12x + x^2
100 = 100 - 20x + 5x^2
5x^2 - 20x = 0
5x(x - 4) = 0
x = 4 feet (we throw out the x = 0 solution as extraneous)
Answer:
Step-by-step explanation:
The Pythagorean Theorem holds for both positions.
The first configuration is an 6-8-10 right triangle.
The second configuration using the Pythagorean Theorem:
10^2 = (8-2x)^2 + (6 + x)^2
100 = 64 - 32x + 4x^2 + 36 + 12x + x^2
100 = 100 - 20x + 5x^2
5x^2 - 20x = 0
5x(x - 4) = 0
x = 4 feet (we throw out the x = 0 solution as extraneous)
Related Questions
What is the minimum?
Awnsers:
48
50
45
49
34
Answers
Answer:
45
Step-by-step explanation:
Help pls!! I need to pass
Answers
which value is closest to 0 on a number line? A.12 B.|-12.5| C.-11.75 D.|12.1
Answers
Answer: -11.75
Step-by-step explanation: The distance is 11.75 units close to 0, compared to the 2nd closest which is A (12)
Lots of points and brainliest!!!
A system of inequalities can be used to determine the depth of a toy, in meters, in a pool depending on the time, in seconds, since it was dropped. Which constraint could be part of the scenario?
The pool is 1 meter deep.
The pool is 2 meters deep.
The toy falls at a rate of at least a Negative one-half meter per second.
The toy sinks at a rate of no more than a Negative one-half meter per second.
Answers
Answer:
The toy falls at a rate of at least a Negative one-half meter per second.
Step-by-step explanation:
Answer:
the awnser is a or the pool is 1 meter deep
Step-by-step explanation:
i am smart and i got it right when i did it
I will mark you brainiest if you an answer this
Answers
Answer:
the awnswer is a = 7 + c
Step-by-step explanation:
solve for x
10/3=x/(-5/2)
Answers
Answer:
X=(10/3)*(-5/2)
X=-8.33
Answer:
-25/3
Step-by-step explanation:
khan said so
2 CDs and 9 DVDs cost £69. 2 CDs and 6 DVDs cost £48. i. Form a pair of simultaneous equations to represent these two sentences ii. Solve the simultaneous equations to find the cost of 1 CD and 1 DVD.
Answers
Answer:
Cost of 1 CD = x = £3
Cost of 1 DVD = y = £7
Step-by-step explanation:
Let us represent:
Cost of 1 CD = x
Cost of 1 DVD = y
i. Form a pair of simultaneous equations to represent these two sentences
2 CDs and 9 DVDs cost £69.
2x + 9y = 69.... Equation 1
2 CDs and 6 DVDs cost £48.
2x + 6y = 48..... Equation 2
ii. Solve the simultaneous equations to find the cost of 1 CD and 1 DVD.
Combining both equations together:
2x + 9y = 69.... Equation 1
2x + 6y = 48..... Equation 2
We substract Equation 2 from Equation 1
3y = 21
y = £7
Solving for x using Equation 1
2x + 9y = 69.... Equation 1
2x + 9 × 7 = 69
2x + 63 = 69
Collect like terms
2x = 69 - 63
2x = 6
x = 6/2
x = £3
Therefore,
Cost of 1 CD = x = £3
Cost of 1 DVD = y = £7
Two divers are underwater. Nick is 33 feet below the surface. Tristan is 15 feet above him. What is Tristan's depth?
Answers
Answer:
Tristan is 18 feet below the surface. or Tristans depth is -18ft
Step-by-step explanation:
if Nick is -33 depth and Tristan is 15 feet above him, then you d
-33+15 = -18
so Tristan must be at -18 depth
Susanna baked a cake she and her family ate ⅜ of the cake and gave ⅛ of the cake to her neighbor to eat how much cake does susanna have left
Answers
Answer:
They would have 4/8 left or 1/2 reduced
Step-by-step explanation:
Because they ate almost half then gave the last bit to the neighbor so they have 4/8 of there cake left or reduced 1/2 of their cake left
If x = 5 and y = 0, which is the value of 62x3y8?
A. 7750
B. 1000
C. 930
D. 80
E: 0
Answers
The reason being anytime you multiply by a zero then then answer will always be zero
Helen bought metal rods that are each 4.2 centimeters long. If Helen lines up 7 of them end-to-end, how long will the line be? Must bein centimeters
Answers
Answer:
29.40 cm
Step-by-step explanation:
total length = length of each rod x number of rods
4.2 x 7 = 29.40cm
3/5 of 3 1/4 is
( Thx for the answer :) )
Answers
Answer:
Step-by-step explanation:
1.95 is the correct answer
Factor the following: 25x^2 + 30x = 0
Answers
Answer:
= 0
= − 6 /5
Step-by-step explanation:
You can use the quadratic formula or just factor it.
Find the Common factor
rewrite in factored form
Create separate equations
then solve
Answer
5x(5x+6)=0
Step-by-step explanation:
Factor 5x out of 25x^2+30x
Helps are really appreciated!!
Answers
Answer:
a) 58.24 square centimeters
b) 5cm
Step-by-step explanation:
a) Area of a parallelogram
The formula for the Area of a parallelogram = Base × Height
Height : 5.2cm
Base : 11.2cm
Area = 5.2 cm × 11.2cm
= 58.24 square centimeters
b) Volume of a cuboid
The formula for the Volume of a cuboid = Length × Width × Height
7cm = Width
3cm = Length
y = Height
Volume = 105cm³
We are to find y
Hence,
105cm³ = 7cm × 3cm × y
y = 105cm³/7cm × 3cm
y = 5cm
fill in the table using this function rule.
y=5x-3
Answers
2
27
32
37
At a competition with 8 runners, 2 medals are awarded for first and second place. Each medal is different. How many ways are there to award the medals?
Answers
Answer:
56
Step-by-step explanation:
At a competition, there are 8 runners
2 medals are awared for first and second place
Therefore the eat to award the medal van be calculated as follows
8×7
= 56
Mr. Jackson paid for his purchase of fishing equipment with $75. He bought 16 weights and 24 packages of worms. The cost of each weight was $1.16, and the cost of each package of worms was $2.25. How much change should Mr. Jackson receive?
Answers
Answer:
2.44$
Step-by-step explanation:
75$ - 18.56 (weights) = 56.44
56.44$ - 54 (worms) = 2.44$ extra
help me please ill choose brainliest if bestt
Answers
That is the only graph that has a data point significantly far away from the rest of the data, so that point is an outlier.
Two sides of a triangle have lengths of 9
and 18. Which inequality represents the
possible length for the third side, x?
A. 9 < x < 18
B. 18 < X < 9
C. 9
D. 18 < X < 27
Answers
D) 18 < X < 27
Because the length of the third side has to lesser that the sum of the other two sides
Answer:
I think that a option is correct
"A.9 <x<18"
Step-by-step explanation:
HOPE IT HELPS YOU:)
Subtract line 2 from line 1 to find your taxable income
Answers
Answer:
is there a pic?
Step-by-step explanation:
Your taxable income for the year is $42,000.
What is your available pay in an expense estimation?Your taxable income is the amount on which you are taxed in a tax calculation. Start with your $50,000 annual income as your base for the calculation.
Then, at that point, take away the allowances, which diminish your available pay, from the all-out pay. The deductions in this instance total $8,000 As a result, your taxable income will be $42,000, or $50,000 divided by $8,000.
This indicates that you will pay tax on $42,000, which will determine your tax bracket and the amount you owe. Deductions like contributions and expenses lower taxable income, thereby lowering the yearly tax bill.
Deduct the total income from the deductions to determine the taxable income:
Available pay = Complete pay - Allowances
Available pay = $50,000 - $8,000
Available pay = $42,000.
Your taxable income for the year is $42,000.
Learn more about expenses here:
https://brainly.com/question/14697297
#SPJ2
The complete question:
What is your taxable income in an expense estimation on the off chance that your year's complete pay is $50,000 and you deduct $8,000?
Hi i need help identifying them
Answers
3.scalene triangle
5. Acute triangle
I’m a bit rough when it comes to triangles, so I hope this helped!
Harry is reading a book that is 597 pages long. He tells a friend that he is about 2/3 of the way done. About how many more pages must Harry read before he finishes the book? PLEASE HELP MEEEEE!!
Answers
Answer:
Harry needs to read 199 more pages
Step-by-step explanation:
2/3 x 597 = 398
597 - 398 = 199
A cell phone company data about students texting skills.They collected the texting speed in words per minutes according to time in minutes.Identify the data's independent and dependent values
Answers
Answer:
independent variable = Time
Dependent variable = texting speed
Step-by-step explanation:
The Independent and dependent variables are used in regression analysis for making prediction. The Independent variable also called the predictor are the variables or data collected in other to influence or determine the outpjt obtained which is the dependent or predicted variable. Hence, the aim or prediction we wish to obtain, measure or determine is the dependent variable In the scenario above, the aim of the data collected is to determine the typing skill, here, the dependent variable is the typing skill. The data required to define the bthis is the data collected on typing speed which measures time taken to type.
Therefore, independent variable = Time
Dependent variable = texting speed
Johnny bought 10 cupcakes for 12 dollars, how much would 15 cost?
Answers
Answer:
18
Step-by-step explanation
10=12
must mean 5=6
12+6=18
15=18
18 dollars
he also has diabetes and drinks diet coke
Please please help me with this question
Profile: John John is a 35 year old, divorced man with one child (who lives with his mom). His take home pay is $4123 per month. He pays $1200 per month in child support to his ex-wife. He owns a 2-storey home and his monthly mortgage payments are $475 every 2 weeks. His car expenses total $145 monthly and his car insurance costs him $113 every month. His house insurance is $47.36 monthly. John also has an outstanding credit line of $8500. The only amount due on this account is the interest of about $55 monthly. However John is trying to pay off the credit line within the next 2 years, so he pays off as much of this loan as he can afford each month.
1.Use one highlighter to identify all sources of income. Total the income for each month.
2.Use a different highlighter to identify all sources of expense. Total the expenses for each month.
3. Subtract the Total Expenses from the Total Income for each
month. A Surplus is when your Income minus Expenses = a positive number.
A Shortage is when your Income minus Expenses = a negative number. Does he have a surplus or a shortage?
Answers
Answer:
1. Income highlight: $4123 of take home pay. That's it.
Total monthly income: $4123
------------------------------------
2. Expense highlight:
$1200 child support
$475 every 2 weeks
$145 car payment
$113 car insurance
$47.36 house insurance
$55 loan payment
Total monthly expense: $2510.36
(1200 + 2(475) + 145 + 113 + 47.36 + 55 = $2510.36
---------------------------------------------
3. $4123 - 2510.36 = 1612.64 surplus
--------------------------------------------
The only question remaining is what if they want him paying more on his credit line...it's kind of a variable expense at this point.
John also has an outstanding credit line of $8500. The only amount due on this account is the interest of about $55 monthly. However John is trying to pay off the credit line within the next 2 years, so he pays off as much of this loan as he can afford each month.
Pslss helpppp (any diffrent answer will be reported)
Answers
Pie multiply 6.5^2=132.7322896
Pricilla is driving home from work after dark and the outside temperature is 35°F. Determine which event is unlikely.
A. Priscilla will turn on the radio.
B. Priscilla will turn on the heater.
C. Priscilla will turn on the headlights.
ONLY ANSWER IF YOU KNOW PLZ HELPP
OD. Priscilla will turn on the air conditioner.
Answers
Their is a rectangle that has measurements in inches. If the width is 7/8 of an inch and the height is 2/3 of an inch, what is the AREA of the rectangle?
Answers
Answer:
Area of a rectangle = 7/12 of an inch
Step-by-step explanation
Area of a rectangle = Length × width
In this case, the length is represented by height
Height = 2/3 of an inch
Width = 7/8 of an inch
Area of a rectangle = Length × width
= 2/3 × 7/8
= (2 * 7) / (3 * 8)
= 14 / 24
= 7 / 12
Area of a rectangle = 7/12 of an inch
You fill cone-shaped pastry bags with icing to a height to 1 foot and a diameter of 3.5 inches. You use about 1.35 cubic inches of icing per cupcake. About how many cupcakes can you decorate with 2 bags of icing?
Answers
Answer:
about 57
Step-by-step explanation:
The cost of a new television is $948. If the value of the television decreases by 4.5 every year, which function models the value of this television x years after it was purchased?
Answers
t(x) = 948(0.955)