The distance from the bottom of a ladder to the wall it leans against is one-fourth of the length of the ladder. If the ladder is 12 feet long, how far up the wall will the ladder extend?
Answers
Answer:
The ladder will extend 11.6ft up the wall
Wall will the ladder extend 11.6 ft
What is Pythagoras theorem?The Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Given
Length of the ladder = 12 ft
Distance from the bottom = 1/4 of length of the ladder
= [tex]\frac{1}{4}[/tex] × [tex]12[/tex]
= 3 ft
By using Pythagoras theorem
[tex]12^{2}=x^{2} +3^{2}[/tex]
[tex]x^{2} =144-9[/tex]
[tex]x^{2} =135[/tex]
[tex]x=\sqrt{135}[/tex]
[tex]x=[/tex] ± 11.6 ft
Hence, wall will the ladder extend 11.6 ft.
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Related Questions
Goran ran three times last week. Here are the distances he ran (in kilometers).9.94,6.65,10 What is the total distance Goran ran on these three days?
Answers
Answer:
26.59 kilometers
Step-by-step explanation:
A rectangle has a perimeter of 30cm the width of the rectangle is n cm the length of the rectangle is n+6cm
What’s the value of n
Answers
Step-by-step explanation:
p=2(l+w)
30cm=2(n+6+n)
30cm\2=2n+6
15cm-6=2n
9cm=2n
n=4.5cm or w=4.5cm
l=w+6
l=4.5cm+6
l=10.5cm
What is the slope of the line on the graph?
Answers
Answer: -6/2 = -3
Step-by-step explanation:
You pick 2 points and then use rise/run=y/x
Because its slanted down its negative
Sherry is buying costume jewelry at an online store. Each pair of earrings costs the same amount
and each bracelet costs the same amount. She can purchase 5 pairs of earrings and 6 bracelets
for $49 or she can purchase 7 pairs of earrings and 1 bracelet for $48.25. Either way, she stays
under her $50 budget. What is the price of a pair of earrings? PLS HELP , IF U EXPLAIN I WILL GIVE BRAINLIEST
Answers
Answer:
the 7 pairs of earings because you can buy more for just $1 extra that just geeting 1 thing. that is what i think
what expression is equivalent to 3(x-2)
Answers
Answer:
3x - 6
Step-by-step explanation:
Answer:
The answer is -6
Step-by-step explanation:
Because when you time 3 bye a negative 2 you get a negative 6
A student stands at the entrance of her school and notes the colors of cars that enter the parking lot. The results are shown in the bar graph below.
which of the following is a true statement regarding the info in the bar graph?
a. car color is a discrete variable
b. car color is a catagorial variable
c. car color is a continuous variable
d. frequency is a discrete variable
thank ya so much and have a lovely day!!
Answers
Answer:
B
Step-by-step explanation:
Color of car is a categorical variable. its value are not numerical
The frequency of cars entering the parking lot is a discrete variable so option (d) will be correct.
What is a variable?A variable in mathematics is a representation of any quantity whose value is changeable.
For example speed of a vehicle is a variable.
The value of the variable changes but the meaning of the variable never for example speed of vehicle changes but the word speed does not change.
A discrete variable is a variable whose values are different.
Since car color is not a variable because the meaning of variable is not constant in car color.
The frequency of vars is a discrete variable because it is different for each kind of car.
Hence "The frequency of cars entering the parking lot is a discrete variable".
To learn more about variables,
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Hello! Can someone please help me with this question ? I’ll mark brainly thanks ! :)
Answers
Answer:
[tex]\Large\boxed{\text{Perpendicular Equation:} \ y = -\frac{2}{7}x + \frac{22}{7}}[/tex]
[tex]\Large\boxed{\text{Parallel Equation:} \ y = \frac{7}{2}x -12}[/tex]
Step-by-step explanation:
In order to find the equations that are parallel/perpendicular to the line [tex]y = \frac{7}{2}x - 4[/tex], we need to note a couple things about the relationships between lines and their parallel/perpendicular lines.
A) If a line is perpendicular to another, the slopes will be opposite reciprocals (for instance [tex]-2[/tex] and [tex]\frac{1}{2}[/tex] - multiplied, they equal -1.)B) If a line is parallel to another, they will have the exact same slope.Perpendicular:We know that the slope of a perpendicular line will be the the opposite reciprocal of the line we're comparing it to.
Since the slope of our base line is [tex]\frac{7}{2}[/tex], we can find the reciprocal, then the opposite of that.
Reciprocal of [tex]\frac{7}{2} = \frac{2}{7}[/tex] Opposite of [tex]\frac{2}{7} = -\frac{2}{7}[/tex]So the slope of this line will be [tex]-\frac{2}{7}[/tex], making our equation [tex]y = -\frac{2}{7}x+ b[/tex]
However, y-intercepts will not stay the same. In order to find this, we can substitute the point (4, 2) into our equation to solve for b.
[tex]2 = -\frac{2}{7} \cdot 4 + b[/tex] [tex]2 = -\frac{8}{7} + b[/tex] [tex]b = 2+\frac{8}{7}[/tex] [tex]b = 2 \frac{8}{7}[/tex] [tex]b=\frac{22}{7}[/tex]Now we know the y-intercept of this equation is [tex]\frac{22}{7}[/tex]. We can now finish off our equation of the line by substituting that in to what we already have, [tex]y = -\frac{2}{7}x+ b[/tex].
[tex]y = -\frac{2}{7}x+ \frac{22}{7}[/tex]
Parallel:As mentioned earlier, parallel lines will have the exact same slope but not the same y-intercept. Since the slope of our original equation is [tex]\frac{7}{2}[/tex], the slope for this one will also be [tex]\frac{7}{2}[/tex].
So we now know the equation looks something like [tex]y = \frac{7}{2}x + b[/tex].
In order to solve for b, we apply the same logic we did in the perpendicular line and substitute in the point (4, 2) into the equation.
[tex]2 = \frac{7}{2} \cdot 4 + b[/tex] [tex]2 = \frac{28}{2}+b[/tex] [tex]2 = 14+b[/tex] [tex]b = 2-14[/tex] [tex]b =-12[/tex]Now that we know the slope and the y-intercept, we can finish off our equation as [tex]y = \frac{7}{2}x -12[/tex].
Hope this helped!
Can somebody look at the picture and help
Answers
Answer:
154
Step-by-step explanation:
divide 7,238 by 47.
Answer:
he needed 154 albums for 7238 photos
simplify x+x+y+y
I know this looks fairly easy but I keeping typing my answer into maths watch and its wrong apparently so please help
Answers
Answer:
2x+2y
Step-by-step explanation:
there are 2 x's so u can make it 1 by putting a 2 in front of it and same with y ... they have to be in alphabetical order and from greatest to least
that's how I was taught
Answer:
2(x+y)...... ......
Step-by-step explanation:
... ..........
Gold, God, and glory were three reasons for exploration. Which of these might motivate you to go exploring? Why?
Considering that so many died, was Magellan’s voyage a success? Why or why not?
Brainlist give away :)
Answers
Answer:
God. It would inspire me in a sense in which I would feel the desire to explore the world created by the Almighty. Technically the voyage was a success, although he did not complete it fully.
(2,-4) 1 (3,2),(-1,0),(2,5),(0,4)
A.It is a function
B.it is not a function
Answers
Answer: The answer is B. It is not a function because the domain(x) is repeating and if the x was not repeating it would have been a function :)
Step-by-step explanation:
2/4 lb= ? plz anwser
Answers
Answer:
2 lb
Step-by-step explanation:
2 divided by 4 is 2
Answer:
1/2 lb (or 0.5 lb)
Step-by-step explanation:
I'm not sure if you want me to convert it into another unit, but here you go!
2/4 simplified is 1/2
2 divided by 4 is 0.5
Complete the magic squares so that the sum of each row, each column, and each diagonal in the grid are all equal.
Answers
Answer:
For the first grid:
0 7 2
5 3 1
4 -1 6
For the second grid:
1 2 6
8 3 -2
0 4 5
For the third grid:
3 -2 5
4 2 0
-1 6 1
Step-by-step explanation:
It's a bit hard to explain, but I just found what the sum was supposed to be for each grid and worked from there.
I hope my answer is satisfactory!
Here the completed grids that the total of each row, each column, and each diagonal in the grid is equal.
Here the first grid :
0 7 2
5 3 1
4 -1 6
Here the second grid :
1 2 6
8 3 -2
0 4 5
Here the third grid :
3 -2 5
4 2 0
-1 6 1
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
The operator that performs the arithmetic operation is called the arithmetic operator.
Operators which let do a basic mathematical calculation
+ Addition operation: Adds values on either side of the operator.
For example 12 + 2 = 14
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 12 -2 = 10
* Multiplication operation: Multiplies values on either side of the operator
For example 12*2 = 24
/ Division operation: Divides left-hand operand by right-hand operand
For example 12/2 = 6
To determine missing values in the magic squares,
Apply the arithmetic operations in the rows and columns,
The sum of each row = 9
The sum of each column = 9
The sum of each diagonal = 9
Here the first grid :
0 7 2
5 3 1
4 -1 6
Here the second grid :
1 2 6
8 3 -2
0 4 5
Here the third grid :
3 -2 5
4 2 0
-1 6 1
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What is the equation of the line that passes through the point
Answers
Answer:
The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.
HELPPPPP ITS DUE TODAY
Answers
Answer:
1) just make an equation (answer below)
SO the new bottle is 30 ounces
The old bottle was 25 percent more then the new one
So we can just find 25 percent of 30
And add it
That is the most simple way but I would just do
30*1.25 Its the same thing but if you think a bout ti, the new bottle can Only hold 30 ounces, 30 ounces is 100 percent of the new bottle, if you multiply 1.25 its adding 25 percent so it Turns a 2 step into a 1 step.
1.25*30=37.5
The larger bottle was 37.5 ounces
I need the area for this
Answers
Answer:
3/10 cm²
Step-by-step explanation:
Multiply the two values to find the area.
3/8 · 4/5 = 3/10
Therefore, the area is 3/10 cm².
Calculate the following:
-5(-4) =
Answers
Answer:
20
Step-by-step explanation:
Negative times negative = positive
PLEASE HELP ME I NEED HELP ON THESE MATH PROBLEMS
Answers
Answer:
gurl download Symbolab right now!!
Write the equation of the line in slope-intercept form that has: slope: -1 and point: (1, 1)
Answers
Answer:
f(x) = -1x + 1
Step-by-step explanation:
f(x) = mx + b
the equation above is slope intercept form. in order to make it you need a slope and a y intercept. you were given the slope, so now you need a y intercept. but where would you find that??? look no farther than the point you were given, (1,1). the y intercept is the second number in the parentheses. next you take your slope and your y-intercept and place them in.
f(x) = -1x + 1
hope i could help
Answer:
y = -x - 1
Step-by-step explanation:
6. Write the number in standard form that is equal to 6 raised to the second power.
Answers
6 raised to the second power is 6*6 which is 32.
The standard form of 32 is 3.2*10²
What are the roots of the equation 2x2 + 7x – 1 = 0?
- bzV6²-4ac
X =
2a
Answers
Answer:
Step-by-step explanation:
give answer fast...
it's very important for me....
then I give you 20 thanks...(◍•ᴗ•◍)❤
Answers
Answer:
I have the answer
Step-by-step explanation:
Answer:
the required answer is 18
Step-by-step explanation:
see the solution in attached picture
i hope u got it
1. There are 64 pretzels in a 16-ounce bag of chocolate-covered pretzels.
B. What is the number of chocolate-covered pretzels per ounce
Answers
Answer:
4
Step-by-step explanation:
64 divided by 16 = 4
PLEASE HELP IM DESPERATE! Which of these is equivalent to the expression s + s + s + s +12 ? ANSWER CHOICES: A. 4s + 3, B. 4(s + 3), C. 4s (s + 3), D. 4 + s + 12
Answers
Answer:
B
Step-by-step explanation:
s+s+s+s+12 = 20. s=2
4(s+3)
4(2+3)
4(5)=20
Hey there!
s + s + s + s + 12
= 1s + 1s + 1s + 1s + 12
= 2s + 2s + 12
= 4s + 12
So, we’re looking for something that’s equivalent to: 4s + 12
• Option A.
4s + 3 ≠ 4s + 12
Option A. is wrong because it is NOT equivalent to the given equation
• Option B.
4(s + 3)
= 4(s) + 4(3)
= 4s + 12
Thus, this mean Option B. could possibly be your answer.
• Option C.
4s(s + 3)
= 4s(s) + 4s(3)
= 4s(s) + 3(4s)
= 4s^2 + 12s
Option C. is wrong because it is NOT equivalent to the given equation as well.
• Option D.
4 + s + 12
COMBINE the LIKE TERMS
= 16 + s
= s + 16
Option D. is wrong because it isn’t equivalent to the given equation as well.
Therefore, your answer is:
Option B. 4(s + 3)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Florance made an apple pie, she used 7/8 of a tablespoon of cinnamon and 3/4 of a tablespoon of nutmeg
Answers
Answer:
1 5/8
Step-by-step explanation:
x x=ly y=2x-2
you need use solving systems substitute
Answers
Answer:
3
Step-by-step explanation:
If you substitute the values x = 0 and y = −5 into the second equation, you get a false statement: 2(−5) − 10 = 2(0). To solve this system, try rewriting the first equation as x = 2y − 8. Then substitute 2y − 8 in for x in the second equation, and solve for y. The correct answer is x = −2, y = 3.
Not what I really think it might be, but I hope it helped you!
Determime the measures of angles X,y and Z
x° = 105°
y° = z°
x = ?
y = ?
z = ?
Answers
Answer:
X = 75°
Y = 105°
Z =75
Step-by-step explanation:
an aquarium sells five stuffed animal for 64.95 what is the cost of eight stuffed animal
Answers
Answer: 103.92
Step-by-step explanation:
64.95 / 5 = 12.99 (cost of 1 stuffed animal)
12.99 x 8. = 103.92 (cost of 8 stuffed animals)
y = 1/4x
IS IT A FUNCTION???
Answers
Answer: Yes.
Step-by-step explanation:
You can graph it without being on zero or in an infinite decimal
Answer:
Yes. As long as it is not a decimal or has exponents it will be a function. (I think)
Step-by-step explanation:
Thomas buys a case of bottled water. A case contains 36 bottles of water and it costs $4.68. How much does each water bottle cost? *
Answers
Answer:
13 cents per bottle
Step-by-step explanation: