Now given a rope hanging from the top of a pole. The end lying on the ground is 3 chi long. When tightly stretchedit is 8 chi from the bottom of the pole. Let x represent the height of the pole. Tell: how long is the rope and how high is the pole
Answer:
Height of the pole = 9.17 chi.
Length of the rope = 12.17 chi.
Step-by-step explanation:
Given that the rope is hanging from the top of a pole having height x chi and the portion of the rope lying on the ground is 3 chi.
So, the length of the rope= x + 3 chi.
Let AB represents the pole in the figure, and one end of the rope is at point A.
When the rope is tightly stretched, let C be the other end of the rope as shown in the triangle.
The length of the rope = AC.
\Rightarrow AC=x+3 chi.
Distance from the bottom of the pole, point A, to the other end of the pole, point B, is 8 chi.
So, BC=8 chi.
As the triangle ABC is a right-angled triangle, so by using Pythagoras theorem,
[tex]AC^2= AB^2+BC^2[/tex]
[tex]\Rightarrow (x+3)^2=x^2+8^2[/tex]
[tex]\Rightarrow x^2+6x+9=x^2+64[/tex]
[tex]\Rightarrow 6x=64-9=55[/tex]
[tex]\Rightarrow x=55/6=9.17[/tex] chi.
Hence, the height of the pole, [tex]AB=x=9.17[/tex] chi,
and the length of the rope, [tex]x+3=9.17+3=12.17[/tex] chi.
12 divided by 1/4 please help got a test next Monday
Answer:
48
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
When dividing fractions flip and multiply.
So 12 would become 1/12
and 1/4 would become 4/1
Now multiply
[tex]\frac{1}{12}*\frac{4}{1}= \frac{4}{12} = \frac{1}{3}[/tex]
So the answer is 1/3
When dividing fraction remember to flip then multiply much easier that way!
Hope this helps!!
Choose the correct answer to complete the sentence about how the wave is affected by the brick wall.
Rougher sections of the wall surface will cause the___ from the emergency vehicle to scatter.
sound waves
light waves
sound and light waves
Answer:
I think sound waves
Step-by-step explanation:
I'm not smart listen to someone else
(Angle relationships) Solve this question
Answer:
69
Step-by-step explanation:
3/4 (x-12) = 12
solve for x
Answer:
28
Step-by-step explanation:
I got this question on a test and got it right
HAVE A GREAT DAY!
f(x) = -7x + 1, find f(-2) x
f=-2
Okay, so basically just plug -2 in for x in the equation and solve.
-7(-2) + 1
Multiply first
14 + 1
Now add
15
Which algebraic expression is equivalent to the expression below? 4/5x - 7/5y
A. 1/5(4x - 7y)
B. 5(7x - 7y)
C. 5(4x - 7y)
D. 1/5(7x + 4y)
Who knows the answer to this
x=-15/2 , 4
I'm sorry if I'm wrong
Translate the phrase into an algebraic expression.
The product of 8 and b
Answer:
8xb=a (answer)
Step-by-step explanation:
I hope this helps :)
in 2005 a company spent 493,749,335 on advertising. round the advertising figure to the nearest hundred thousand.
Answer: 493,700,000
Step-by-step explanation:
not sure need help
Answer:
I got x= 21
Step-by-step explanation:
I need help with math
What is the coefficient of 9x^5?
Answer:
9
Step-by-step explanation:
A coefficient is a number in front of a variable.
Answer:
9
Step-by-step explanation:
{ months of the year with 4 letters}
Answer:
June, July
Step-by-step explanation:
Please give me brainliest
Find the values of x and y.
(40y + 20°
8xº (2x + 30°)
(60y – 40)
9514 1404 393
Answer:
x = 5y = 3Step-by-step explanation:
Vertical angles are congruent.
8x = 2x +30
6x = 30 . . . . . . subtract 2x
x = 5 . . . . . . . . divide by 6
__
60y -40 = 40y +20
20y = 60 . . . . add 40-40y
y = 3 . . . . . . . .divide by 20
_____
Check
The 'x' angles are 8x° = 8·5° = 40°.
The 'y' angles are (40y+20)° = (40·3+20)° = 140°.
The angles are supplementary, as they are supposed to be.
A payday loan store charges $45 for a one-month loan of $180. What annual interest rate is this equivalent
to?
%
Round your answer to one decimal place if necessary.
Submit Question
Answer:
(1+r/12)=1.075
r/12=0.075
r=0.9 or 90%
Step-by-step explanation:
How long does it take for an investment to double its value if the interest is 7.25%
compounded continuously?
Answer: 9.9 years
Step-by-step explanation:
We have an interest of 7.25%, compounded continuously, we can write this as:
P = A*e^(r*n)
where:
P is the total balance after n years.
A is the initial investment.
r is the ratio of increase, in the case of a continuous compound, this will be:
r = Ln(1 + 7.25%/100%) = Ln(1 + 0.0725) = 0.070
n is the time in years.
Then we want to have our initial investement doubled, this means:
P = 2*A
let's find n for this situation:
P = 2*A = A*e^(0.070*n)
2 = e^(0.070*n)
Now we can apply the Ln() to both sides, remember that:
Ln(e^x) = x
Then:
2 = e^(0.070*n)
Ln(2) = Ln(e^(0.070*n)) = 0.070*n
Ln(2)/0.070 = 9.9
So we need 9.9 years to double the initial investment.
Multiply and simplify. (12 2/3)(3 1/4)
A) 36 1/12
B) 36 1/6
C) 41 1/12
D) 41 1/6
Answer:
41 1/6 is the answer lets do it step by step
Step-by-step explanation:
You are usually taught to multiply the improper fractions and simplify the result.
.. (38/3)*(13/4) = (38/4)*(13/3)
.. = (19/2)*(13/3)
.. = (19*13)/6
.. = 247/6
.. = 41 1/6
You can also multiply the parts.
.. (12 2/3)*(3 1/4) = 12*3 + 12*(1/4) +(2/3)*3 +(2/3)*(1/4)
.. = 36 +3 +2 +1/6
.. = 41 1/6
hope this helps:D
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation:}[/tex]
[tex]\mathsf{12 \dfrac{2}{3}\times 3\dfrac{1}{4}}[/tex]
[tex]\huge\textbf{Simplifying:}[/tex]
[tex]\mathsf{12 \dfrac{2}{3}\times 3\dfrac{1}{4}}[/tex]
[tex]\mathsf{= \dfrac{12\times3+2}{3}\times \dfrac{3\times4+1}{4}}[/tex]
[tex]\mathsf{= \dfrac{36 + 2}{3} \times \dfrac{12 + 1}{4}}[/tex]
[tex]\mathsf{= \dfrac{38}{3}\times\dfrac{13}{4}}[/tex]
[tex]\mathsf{= \dfrac{38\times13}{3\times4}}[/tex]
[tex]\mathsf{= \dfrac{494}{12}}[/tex]
[tex]\mathsf{= \dfrac{494\div2}{12\div2}}[/tex]
[tex]\mathsf{= \dfrac{247}{6}}[/tex]
[tex]\mathsf{\approx 41 \dfrac{1}{6}}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\boxed{\mathsf{Option\ D.)\ 41 \dfrac{1}{6}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
an amount A is initially 8. To find next week's amount, we multiply this week's amount by 4. Find a formula that gives the amount A after T weeks
Given:
Initial amount = 8
To find next week's amount, we multiply this week's amount by 4.
To find:
A formula that gives the amount A after T weeks.
Solution:
We have,
Initial amount = 8
According to the question,
Amount of next week = 4 × Amount of this week
Amount after one week is
[tex]A=4\times 8[/tex]
Amount after two week is
[tex]A=4\times (4\times 8)[/tex]
[tex]A=4^2\times 8[/tex]
Amount after T week is
[tex]A=4^T\times 8[/tex]
[tex]A=8(4)^T[/tex]
Therefore, the required formula that gives the amount A after T weeks is [tex]A=8(4)^T[/tex].
Use benchmark values to estimate 7/10 + 7/8.
Answer:
1.575
Step-by-step explanation:
what's 1+9 pls helpppppppp
PLEASE HURRY, ILL GIVE BRAINLIEST
A football player kicks a ball with a force of 50 N. Find the impulse on the ball if his foot stays in contact with the football for 0.01 second.
Answer:
I= f.t = (50) (0.01) = (0.5) kg.m15
Step-by-step explanation:
jesus loves you and cares for you
A veterinarian treated 7 dogs this morning. The list below gives the weights (in pounds) of each dog. , 6, 46, 21, 9, 21, 5143 Find the range of the data set.
Answer:
5137
Step-by-step explanation:
Please answer this correctly without making mistakes
Answer:
The price per inch is $0.26.
Step-by-step explanation:
There are 12 inches in 1 foot.
First, we need to calculate what the cost is per foot.
18.72 / 6 = 3.12
From this answer, we have to divide by 12 to calculate what the price is per inch.
3.12 / 12 = 0.26
I hope this was helpful to you! If it was, please consider rating, pressing thanks, and marking my answer Brainliest. It would help a lot. Have a wonderful day!
Bert is saving money to buy a new phone that costs $153.66, including tax. He does yard work around his neighborhood to earn money. He charges $9.85 per hour.
Part B:
How many hours will Bert have to work to earn enough money to buy the phone?
Answer:
4.57
Step-by-step explanation:
one student can paint a wall in 10 minutes another student can paint the same wall in 15 minutes working together how long will it take for them to paint the wall?
Answer:
6 min
Step-by-step explanation:
given that the rate for the first student is 10 min per wall
we can express this in wall per minute by taking the reciprocal
hence student 1's unit rate = 1/10 wall per min
similarly, we can express student 2's unit rate as 1/15 wall per min.
if we add up the two, we will get the amount of wall painted by two people working together per min
amount of wall painted per min by 2 people
= wall per min of person 1 + wall per min of person 2
= 1/10 + 1/15
= 3/30 + 2/30
= 5/30
= 1/6 wall per min.
to convert this to minutes per wall, we take the reciprocal:
number of minutes that both people will take to paint the wall
= 1 / (1/6)
= 6 min per wall (answer)
What is the difference between the maximum and minimum of the quantity x2y287, where x and y are two nonnegative numbers such that x+y=6?
Answer:
27/29
Step-by-step explanation:
You finance a $500 car repair completely on credit, you will just pay the minimum payment each month for the next three months. The APR is 18.99% and the minimum payment each month is 4% of the balance. Determine the finance charge, carry-over balance, and minimum payment required for each of the next two months, and the starting balance for month 2 in the table below.
Answer:
Determination of the Finance Charge, Carry-over balance, Minimum Payment for each of the next two months:
Finance Charge:
First month = $7.91
Second month = $7.72
Carry-over balance:
First month = $487.59
Second month = $475.50
Minimum Payment:
First month = $20.32
Second month = $19.81
Starting balance (Carry-over balance + Finance charge):
First month = $507.91
Second month = $495.31
Step-by-step explanation:
a) Data and Calculations:
Credit Finance = $500
APR = 18.99%
Minimum monthly payment = 4% of the balance
Monthly rate of interest = 0.1899/12 = 0.015825
Finance Charge:
First month = $7.91 ($500 * 0.015825)
Second month = $7.72 ($487.59 * 0.015825)
Carry-over balance:
First month = $487.59($507.91 - $20.32)
Second month = $475.50 ($495.31 - $19.81)
Minimum Payment:
First month = $20.32 ($507.91 * 4%)
Second month = $19.81 ($495.31 * 4%)
Starting balance (Carry-over balance + Finance charge):
First month = $507.91 ($500 + $7.91)
Second month = $495.31 ($487.59 + $7.72)
find the sum of the interior angle measures of the polygon
Work Shown:
We have 9 sides of this polygon. See the diagram below. So n = 9
Plug that into the formula below to find the sum of the interior angles
S = 180(n-2)
S = 180(9-2)
S = 180*7
S = 1260
Divide using any method. .
-3.23 + 4x2 + 2x – 5)
2
Answer:
Step-by-step explanation:
-3x^2 --2x--2 -- 9/x--2
