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.
Find out more information about Pythagoras theorem here
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Related Questions
Practice Pages 69&70
Answers
Answer:
Yes, Teacher
Step-by-step explanation
Please help I’ll give brainlist
Answers
Answer:
z= -30!!
Step-by-step explanation:
z - 8 = -38
+8 +8
z = -30
f(x)=5(X-2)^2+4
Find vertex, Direction of parabola, and axis of symmetry
Answers
The axis of symmetry is 2 .
Direction of parabola ( i don’t know sorry )
help!!!
i need freinds :3
Answers
Answer:
me too
Step-by-step explanation:
Meeee toooooooo!!!,!,!,!,!,,,,!,!!,!!!!
Mrs. Music bought a dress priced at $98.00. If the sales tax is 6%, what is the total amount she paid for the dress?
Answers
Answer: $103.88
Step-by-step explanation:
98*0.06=5.88 <--- total tax charged
98+5.88=103.88 <--- add tax to price
Can someone please help me with this please
Answers
These are all your congruent parts and they are colour coded along with matching marks on the triangle to help you know that! :)
Based on the information given in the diagram, choose all of the statements that are correct.
Answers
Answer:
i think its the last one
Step-by-step explanation:
i think its the last on ig
The true statements from the given statements are -
∠MNP < ∠ONP NP ≅ NPOP > PM What are congruent triangles?Two triangles are congruent when they have exactly the same three sides and exactly the same three angles.
Given is a triangle as shown in the image.
It is clear that the measure of ∠MNP is less than ∠ONP as
∠MNP = 38° < ∠ONP = 39°
The line NP ≅ NP as it is common to both sub - triangles and has same length.
OP > PM since ∠ONP = 39° > ∠MNP = 38°
Therefore, the true statements from the given statements are -
∠MNP < ∠ONP NP ≅ NPOP > PMTo solve more questions on congruent triangles, visit the link below-
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WILL GIVE BRAINLIEST !! Ella needs at least $360 to pay for her spring break expenses and she is saving $25 from each of her weekly paychecks. How long will be before she can pay for her trip?
Answers
Answer:
At least 15 weeks
Step-by-step explanation:
If Ella needs at least $360, she will have to save her $25 constantly for about 15 weeks.
25*15=375, which is more than 360, so she will have leftover money.
Answer:
2 weeks + 1day
Step-by-step explanation:
7 days a week. 7 + 7 = 14
25 x 14 = $350, missing another 10 dollars.
25 x 15(adding a extra day) = 275.
in change, you have 15 dollars left.
Twelve hours after a convict escapes from prison, a guard begins to pursue him. If the convict travels at eight mph on foot and the guard travels at 56 mph by car, how far from the prison will the convict be caught by the guard?
Answers
Given the graph that is shown. What is the range of the function??!
Answers
Answer:
[tex]-3\leq x[/tex] < 6
third answer choice
Step-by-step explanation:
if 2t2 eqauls 4 then wah t is 2t4
Answers
6th grade math help me plzzzz
Answers
Answer:
n = 0.8
Step-by-step explanation:
3n + 3 = 5.4
-3 form each side
3n=2.4
÷3 for each side
n=0.8
Answer:
0.8
Step-by-step explanation:
3(n+1)=5.4
Divide both sides by 3
3(n+1)/3 = 5.4/3
simplify
n+1=1.8
subtract 1 from both sides
n+1-1=1.8-1
N=0.8
Which graph represents a function?
Answers
Answer:
a
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
B, C, and D, have straight up and down lines, which is not a function.
200 points down the drain lets see how fast I can get rid of the rest of my 126 points.
How bout a 100 point question? Hehe
Answers
Answer:
lezgoooooooooooooooooo
Answer:
THANK U AHHAH
Step-by-step explanation:
A rectangular prism has a length of 9 centimeters, a width of 4 centimeters, and a height of 2 centimeters.
What is the volume of the prism?
Answers
Answer:
It will be 72cm
Step-by-step explanation:
Volume of a rectangular prism = (length x width x height) cubic units.
9x4x2=72
Plz help me with this
Answers
9514 1404 393
Answer:
growth2.3%Step-by-step explanation:
The number with the exponent is 1+0.023/4 = 1.00575. This number is greater than 1, so represents growth.
When x increases by 1, the multiplier of 800 increases by ...
1.00575^4 ≈ 1.023199 = 1 + 2.3199%
Rounded to the nearest tenth percent, this is a 2.3% growth rate.
_____
Additional comment
The formula corresponds to a financial formula in which a 2.3% annual interest rate is compounded 4 times per year. The effective annual interest rate is almost 2.32% per year. The difference is there, but is too small to see when the interest rate is rounded to a tenth percent.
If 6% of a number is 1.32 what is the number?
Answers
6% of 22 is 1.32
i hope this helps (:
Answer:
To find this number, you must know the conversion rate between percentages and decimals. If 100% = 1, then 6% will equal 0.06. The oppisite of multiplication is division, so instead of multiplying the number my 0.06, you have to divide it which gives you 22. And if you multiply that number by 0.06, you get 1.32.
Hope that helped!
find a number n when decreased by 9 equals 17
Answers
Answer:
26-9=17 26 is the answer
Step-by-step explanation:
Answer:
The number n is 26
Step-by-step explanation:
Decreased means subtract
n-9 = 17
Add 9 to each side
n-9+9 = 17+9
n = 26
The number n is 26
A regulation basketball hoop has a rim with an 18-inch diameter. What is the approximate length around the rim of a regulation basketball hoop? (Use 3.14 for .)
A.
56.52 in
B.
254.34 in
C.
113.04 in
D.
1,017.36 in
Answers
Answer:
c
Step-by-step explanation:
Maria has purchased a basic stained glass kit for $100. She plans to make stained glass suncatchers and
sell them. She estimates that the materials for making each suncatcher will cost $13. Model this situation
with a rational function that gives the average cost of a stained glass suncatcher when the cost of the kit
is included in the calculation. Use the graph of the function to determine the minimum number of
suncatchers that brings the average cost below $22.50.
The minimum number of suncatchers that brings the average cost below
$22.50 is
Answers
Answer:
Step-by-step explanation:
fixed cost = 100
variable cost = 13
soooo....
cost = (13x + 100)/x
the questions wants to know when cost < 22.50
22.5 > (13x+100)/x
look at graph attached ;)
it looks to me like it's at 11
22.5 > (13(11) + 100) / 11
22.5 > 22.09
try 10
22.5 > (13(10) +100)/10
22.5 > 23 not true so yes.. 11 is when the cost goes below 22.50
Answer:
Y’all the correct answer is 10
15 POINTS PLEASE HELP!!!
Answers
Answer:
D
Step-by-step explanation:
please help........
Answers
x = √(10²+24²)
= √(100+576)
=√(676)
= 26.
Answer:
26
Step-by-step explanation:
since wz is a tangent to the circle then measure angle wzy equal 90° so you will be using Pythagoras therom then X = (24)^2 + (10)^2 all under a square root as it's a hypotenuse
If the graph of f(x)= 3^x is reflected over the x-axis, what is the equation of the new graph?
Answers
Answer:
g(x) = - 3^xStep-by-step explanation:
Reflection over x-axis results in:
f(x) → - f(x) translationTherefore the new function is:
g(x) = - 3^xchristy has a hobby of making candles. she takes less than 20 minutes to make a box of candles. if x represents the number of minutes, which inequality represents the time it takes christy to make a box of candles? (show work if possible)
A. x > 20
B. 20 < x
C. 20 > x
D. x = 20
Answers
Answer:
C. 20 > x
Step-by-step explanation:
Can someone help me?
Answers
Answer:
y =4(x-3)^2+2 => y=4x^2-24x+38
y=2(x-3)^2+4 => y=2x^2-12x+22
y=2(x+3)^2+4 => y= 2x^2+12x+22
Y= 4(x+3)^2+2 => y= 4x^2+24x+38
Step-by-step explanation:
I WILL GIVE BRAINLIEST AND POINTS HELP PLEASE
Answers
Answer:
The intersection is at (0,1)
Step-by-step explanation:
Cathy has $100 saved to spend on clothes. She wants to purchase a winter jacket for $40 and some sweaters that cost $20 each. How many sweaters can Cathy buy?
Answers
1) What is the difference between a number and its positive square root is 12. Find the number
2) One of the diagonals of a rectangle is 20cm long. If the difference between its length and width is 4cm, find the area of the rectangle
Answers
Answer:
algebra
Step-by-step explanation:
using algebra form an equation than solve for the variable keep in mind u have to square it
On Saturday, Jay went on a trail run. The posted mileage for the trail was 3.8 miles. On Sunday, he ran his usual route
of 4 3/4 miles. How many total miles did Jay run over the weekend?
A 7.5 miles
B 7 3/4 miles
C 8.3 miles
D 8 11/20 miles
Answers
A lamp is on sale for 10% off the regular price of $159. What is the sale price of the lamp?
$143.10
$145.90
$147.50
$149.00
Answers
Answer:
$143.10
Step-by-step explanation:
$159 (regular price) - 10% = $143.1 = $143.10
Sorry if wrong! Mark brainiest if correct :D Have a great day Luv!
-Bee