A 40 foot ladder is set against the side of a house so that it reaches up 24 feet. If Lily
grabs the ladder at its base and pulls it 4 feet farther from the house, how far up the
side of the house will the ladder reach now? (The answer is not 20 ft.) Round to the
nearest tenth of a foot.
Answer:
17.4
Step-by-step explanation:
got it wrong on delta
a^{2}+(36)^{2}=
a
2
+(36)
2
=
\,\,40^{2}
40
2
Use the Pythagorean Theorem.
a^{2}+1296=
a
2
+1296=
\,\,1600
1600
Simplify.
-1296\phantom{=}
−1296=
\,\,-1296
−1296
Subtract 1296 from both sides.
a^{2}=
a
2
=
\,\,304
304
\sqrt{a^{2}}=
a
2
=
\,\,\pm\sqrt{304}
±
304
Square root both sides.
a=
a=
\,\,17.435595...
17.435595...
Simplify. Ignore negative root, as length must be positive.
a\approx
a≈
\,\,17.4
17.4
The distance far up the side of the house will the ladder reach now will be 15.2 feet.
The distance far up the side of the house will the ladder reach now will be 15.2 feet.
A 40 foot ladder is set against the side of a house so that it reaches up 24 feet.
What is the Pythagoras theorem?The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
Let the distance between the base of house and ladder foot is x feet.
By using Pythagoras theorem;
40² = 24² + x²
⇒ 1600 - 576 = x²
⇒ x² = 1024
⇒ x = 32 feet
If Lily grabs the ladder at its base and pulls it 4 feet farther from the house.
Then, the distance between the base of house and ladder foot = x + 5
Height of house is h feet
40² = h² + (x + 5)²
⇒ 1600 = h² + (32 + 5)²
⇒ 1600 = h² + 1369
⇒ h² = 1600 - 1369
⇒ h² = 231
⇒ h = √231
⇒ h = 15.19 feet
Therefore, the distance far up the side of the house will the ladder reach now will be 15.2 feet.
To learn more about the Pythagoras theorem visit:
brainly.com/question/21926466.
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what is the value of 2 X ?
ILL SEND EXTRA POINTS JUST
PLEASE HELP
Answer: A = P + 0.2P
Step-by-step explanation:
r = 0.04, t = 5
Original equation:
A = P + Prt
A = P + P(0.04)(5)
A = P + P(0.2)
A 31-foot board is cut into two pieces so that three times the length of the longer piece is 4 times the length of the shorter piece. What is the length of the longer piece?
Answer:
675
Step-by-step explanation:
Hope this answer helps you :)
Have a great day
Mark brainliest
The length of the longer piece is 124/7.
What is algebra?Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.
let the two pieces be x(longer) and y (shorter)
So,
x+y=31
and, 3x=4y
3x-4y=0
Solving both the equations:
x= 124/7 and y=93/7
Hence, the length of longer piece is 124/7.
Learn more about algebra here:
https://brainly.com/question/953809
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Please help me with this The picture shows the question and anwsers
Answer:
D is the answer
hope this helps
have a good day :)
Step-by-step explanation:
Translate this phrase into an algebraic expression,
17 increased by twice a number. Use a variable n to represent the unknown number.
Please help and thank you
Answer:
17+2n
Step-by-step explanation:
Somebody please help meee!!!!
Answer:
288.4
Step-by-step explanation:
v=pi r^2 H
Answer:
I think answer is 288.4 plz mark me brainlist
Help with this please
Answer:
180-132 = 48
C. 48 degrees
PLEASE PLEASE HELP FAST
Step-by-step explanation:
we need much more information. you don't show us the diagram of the shape. for example.
it is impossible to know what you mean by a general angle between 3 points (?).
and we cannot even see the full screen shot.
Marsha deposited $5,000 into a savings account 5 years ago. The simple interest rate is 3%. How much money did Marsha earn in interest
Answer:
5750
Step-by-step explanation:
0.03 x 5000 = 150
150 x 5 = 750
At the moment a certain medicine is injected, its concentration in the bloodstream is 120 milligrams per liter. From that moment forward, the medicine's concentration drops by 30% percent each hour. Write a function that gives the medicine's concentration in milligrams per liter, C(t), t hours after the medicine was injected. If anyone responds, thank you <3
Answer: [tex]C(t) = 120(1-0.30)^t[/tex]
Step-by-step explanation:
Exponential equation for decay:[tex]y= A(1-r)^t[/tex], where A = initial value, r= decay rate , t= time.
As per given, A = 120ml , r= 0.30
[tex]C(t) = 120(1-0.30)^t[/tex]
Hence, the required function that gives the medicine's concentration in milligrams per liter, C(t), t hours after the medicine was injected.
[tex]C(t) = 120(1-0.30)^t[/tex]
What is the solution to the inequality -6+12p+3] > 7?
o p<-8 or p > 5
0 -8
The solution to the given inequality is p > 1/2
Inequality functionInequality functions are functions not separated by an equal sign. Given the inequality function
-6+12p+3 > 7
12p - 3 > 3
Add 3 to both sides
12p > 3 + 3
12p > 6
Divide both sides by 12
12p/12 > 6/12
p > 1/2
Hence the solution to the given inequality is p > 1/2
Learn more on inequality here: https://brainly.com/question/11613554
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What multiplies to 18 and sums up to negative 19
Answer:
-18 and -1
Step-by-step explanation:
(-18) + (-1) = -19
(-18) × (-1) = 18
On the interval (r, 7), at which x-value is the average rate of change 56?
х
3
4
5
6
6
7
12
24
28
96
192
Reset
Next
21 Edmentum. All rights reserved.
What is the answer? :)
Answer:
7. the answer is 7
Step-by-step explanation:
the answer is 7
A square and rhombus are shown below
Answer:
B
Step-by-step explanation:
All the angles of square are 90° but in Rhombus all angles are not right angle only the angles opposite to each other are equal.
I got this answer from Gauthmath and i think you should try it to.
hope this was the answer you were looking for.
Answer:
B
Step-by-step explanation:
All the angles in a rhombus are not always 90 degrees.
Hope that this helps!
I will mark the BRAINIEST
Answer:
A
Step-by-step explanation:
Which type of variation is modeled in the table?
joint
combined
direct
Inverse
Answer: inverse
Step-by-step explanation: inverse is the relationship between the variables in the table a direct variation.
Help ASAP only if you know the answer no spam or I will report
Answer:
D. [tex]\sqrt{333}[/tex]
Step-by-step explanation:
To solve the problem, we can use the distance formula which is:
[tex]\sqrt{(x_{1} -x_{2} )^2+(y_{1}- y_{2} )^2}[/tex]
We can substitute the points (-7, 6) and (-4, -12):
[tex]\sqrt{(-7-[-4])^2+(6-[-12])^2} \\\sqrt{(-3)^2+(18)^2} \\\sqrt{9+324} \\\sqrt{333}[/tex]
Which equation has two real solutions? A. x^2-4=0 B. x-4=0 C. x^2-4=0 D. x+4=0
Answer:
A and C (they are same equation)
x^2-4=0
x^2=4
x can be 2 and -2
2^2=4
-2^2=4
Step-by-step explanation:
prove
b.
x-4=0
X=4 (one solution)
d.
x+4=0
X=-4 (one solution)
It’s another one thanks for the help
Answer:
Step-by-step explanation:
volume of a cylinder=πr^2*h
226.2=3.14*8*r^2
226.2=25.12*r^2
226.2/25.12=r^2
9=r^2
[tex]\sqrt{9[/tex]=r
3=r
radius =3 feet
Help
Nxhxhxhdhdhdbsbsbdhdhd
Translate the phrase into an algebraic expression, the product of 8 and y?
Please help and thank you?
Answer:
8y
Step-by-step explanation:
Product means multiply
8*y
8y
help please!!!
What is the relationship between the angles that are formed by two intersecting lines?
Hi there!
Adjacent angles, or angles that are next to each other, add up to 180 degrees. They are supplementary.
Examples: 1 and 4, 3 and 4, 2 and 3, 1 and 1
Opposite angles, or angles that are opposite of each other, have the same measure.
Examples: 1 and 3, 2 and 4
I hope this helps!
the mass is 20kg and length is 3m. find out density
Answer:
6.66 kg/m is the correct answer
Solve for x: 1.5x - 8 = 7
PLS ANSWER
Answer:
x = 10Step-by-step explanation:
1.5x - 8 = 7
=> 1.5x = 7 + 8
=> 1.5x = 15
[tex] = > \frac{15x}{10} = 15[/tex]
[tex] = > x = 15 \times \frac{10}{15} [/tex]
=> x = 10 (Ans)
Answer:
x=10
Step-by-step explanation:
Simplifying
1.5x + -8 = 7
Reorder the terms:
-8 + 1.5x = 7
Solving
-8 + 1.5x = 7
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '8' to each side of the equation.
-8 + 8 + 1.5x = 7 + 8
Combine like terms: -8 + 8 = 0
0 + 1.5x = 7 + 8
1.5x = 7 + 8
Combine like terms: 7 + 8 = 15
1.5x = 15
Divide each side by '1.5'.
x = 10
Simplifying
x = 10
which function represents the sequence? A.f(n) =n+3 B.f(n)=7n-4 C.f(n)=3n+7 D.f(n)=n+7
Answer:
f( n ) = 7 n - 4
Step-by-step explanation:
Terms : 3,10 , 17, 24, 31
Means this = [tex]a_{1}[/tex] = 3
The differences:
d = 10-3=7
our term of the sequence =
f( n ) = 7 n - 4
Mike is completing an ORDER OF OPERATION question with the following expression 7(a-b). What is true about this problem? ,a.) It can be simplified into 3 + 4a - b, b.) It can be simplified into 7a - b, c.) It can be simplified into 7ab, d.) It cannot be simplified from its current state e.) It can be simplified to 7a - 7b
Answer:
e.
Step-by-step explanation:
it can be simplified to 7a-7b
PLEASE HELP QUICK ITS TIMED!!
Which statement correctly describes the data shown in the scatter plot?
A: the point (16,4) is an outlier
B: the scatter plot shows a negative association
C: the scatter plot shows no association
D: the scatter plot shows a nonlinear association
Answer:
b
Step-by-step explanation:
ANSWER:
It should be B but could be wrong
What is the prime factorization of 96?
A:8 · 12
B:2 · 2 · 2 · 2 · 3
C:25 · 3
D:25 · 32
Answer:
option B : 2 . 2 . 2 . 2 . 2 . 3 [ but u missed one 2 :P ]
Step-by-step explanation:
2 |__ 96___
2|___48___
2|___24___
2|___12____
2|___6____
3|___3____
1
96 = 2 × 2 × 2 × 2 × 2 × 3
