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.
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.
f(x) = x2-3x2
g(x) = 4x + 5
Find ( f - 2g)(7)
A) -14 B) -26
C) 130
D) -10
Is line l parallel to line m? Explain.
Yes, alternate interior angles are congruent.
No; alternate interior angles are not congruent.
No; corresponding angles are not congruent.
Yes; corresponding angles are congruent.
Answer:
yes, corresponding angles are congruent
Step-by-step explanation:
not sure need help
Answer:
I got x= 21
Step-by-step explanation:
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
Sarah, Dan & Gavyn share some
money in the ratio 5:1:4
In total, Sarah and Gavyn receive
£45.
How much does Dan get
Answer:
$11.25
Step-by-step explanation:
45/4=11.25
Bicycle club went on a six hour ride the graph below shows the relationship between the number of hours spent on the trails and the number of miles traveled which statement interprets information provided by the graph
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:
for the third week of June, Kevin Walker worked 42.75 hours. Kevin earns $12.60 an hour. his employer pays overtime for all hours
It is 30 points and will give brainliest
Use Pascal's Triangle to solve this equation. SHOW WORK:
(2a - b)²
Answer:
4a2−4ab+b2
Step-by-step explanation:
(2a−b)2 =(2a+−b)(2a+−b)
=(2a)(2a)+(2a)(−b)+(−b)(2a)+(−b)(−b)
Sooo our equation =4a2−2ab−2ab+b2
Hoped I helped -
Sleepy~
Nancy is checking to determine if the expressions x + 4 + x and 6 + 2 x minus 2 are equivalent. When x = 3, she correctly finds that both expressions have a value of 10. When x = 5, she correctly evaluates the first expression to find that x + 4 + x =14. What is the value of the second expression when x = 5, and are the two expressions equivalent? The value of the second expression is 8, so the expressions are not equivalent. The value of the second expression is 14, so the expressions are equivalent. The value of the second expression is 16, so the expressions are equivalent. The value of the second expression is 18, so the expressions are not equivalent.
Answer:
The value of the 2nd expression is 14, so the expressions are equivalent.
Step-by-step explanation:
6 + 2x - 2
6 + 2(5) - 2
6 + (10) - 2
16 - 2
14
Answer:
I believe is The value of the second expression is 14, so the expressions are equivalent.
Step-by-step explanation:
I took the test and got it right.
If Isometry preserves distance and angle measurement ,which of the following are examples of Isometry?
A)Reflection
B)Translation
C)Both reflection and translation
D)None of the above
Answer:
C) Both reflection and translation
Step-by-step explanation:
An isometry of the plane is a linear transformation which preserves length. Isometrics includes rotation, translation , reflection ,glides and the identity map.
A geometry transformation is either rigid or non-rigid
The another name for a rigid transformation is 'isometry'.
The dilation is not isometry
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]
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
Consider the system of equations below. What could be the first step in solving by elimination?
The first step would be to multiply the bottom equation by -1 to eliminate x, then you would combine like terms, like 5y + 2y, and 16 + 10.
Answer:
Subtracting the 2 equations
Step-by-step explanation:
3x + 5y = 16
3x + 2y = 10
Subtract it;
3y = 6
Divide both sides b 3;
y = 2
Substitute y;
3x + 5y = 16
3x + 5(2) = 16
3x + 10 = 16
Subtract 10 from both sides;
3x = 6
Divide both sides by 3;
x = 2
(x, y) = (2, 2)
what is 41.0 cm ............m , 1.19 m .................cm
Answer:
41.0cm = 0.41m
1.19m = 119cm
Step-by-step explanation:
Divide using any method. .
-3.23 + 4x2 + 2x – 5)
2
Answer:
Step-by-step explanation:
-3x^2 --2x--2 -- 9/x--2
The probability of concluding that assignable variation exists when only random variation is present is:_____
I. the probability of a type I error.
II. known as the alpha risk
III. highly unlikely.
IV. the sum of probabilities in the two tails of the normal distribution
a. I and II
b. I and IV
c. II and III
d. I, II, and IV
e. I, III, and IV
Answer:
d. I, II, and IV
Step-by-step explanation:
The probability of a type I error: A type I error comes to play when one turns down the null hypothesis when it is true.
known as the alpha risk: this is also referred to as type I error, it is the risk in a statistical test which shows that a null hypothesis will be rejected even though it is actually true.
The sum of probabilities in the two tails of the normal distribution.
Hence, I, II, and IV are the options
Terdapat tiga bikar iaitu A, B dan C. Isipadu air didalam bikar C adalah dua
kali ganda isipadu air dalam bikar B. Selepas itu,
[tex] \frac{1}{4} [/tex]
daripada isipadu di dalam
bikar A dituang kedalam bikar B dan baki dituang kedalam bikar C. Isipadu
didalam bikar B dan C seterusnya masing-masing menjadi 400ml dan
1000ml. Apakah isipadu bikar A, B dan C sebelum air di dalam bikar A
dituang ke dalam bikar B dan C.
HELP ME PLEASE ASAP PLZ
Triangles ABC and DEC
are shown
D
Given A B in parallel to DE, which statement about ABC and DEC is true?
Answer:
c
Step-by-step explanation:
plz Brainliest i need it
What can be used as a factor to rewrite 16f^2-25g^2?
Answer:
B = 5g
16f2 - 25g2
Step-by-step explanation:
What is the slope of the line that passes through the two given points? (13, -2) and (3, -2)
Answer:
[tex]the \: slope \: is \: \boxed{0}[/tex]
Step-by-step explanation:
[tex]the \: slope \: : m = \frac{ - 2 - ( - 2)}{3 - 13} = - \frac{0}{10} [/tex]
By selling a book for Rs.400 a student got two successive profits of 12% and 40% respectively. Then his total profit is
a.62%
b.50%
c.55%
d.56.8%
The total profit made by the student is 56.8%
The correct answer is D
Given parameters:
final price in which he book was sold = Rs.400
the first profit made by the student = 12% = 0.12
the final profit made by the student = 40% = 0.4
To find:
the total profit of the studentTo find the total profit made by the student, we have to find the initial cost price of the book.
The cost price of the book before the student made the profit of 40%.
Let this cost price = y
100%y + 40%y = 400
140%y = 400
1.4y = 400
[tex]y = \frac{400}{1.4} \\\\y = 285.71[/tex]
This cost price become the new selling price before the student made the profit of 12%.
The cost price of the book before the student made the profit of 12%.
Let this cost price = x
100%x + 12%x = 285.71
112%x = 285.71
1.12x = 285.71
[tex]x = \frac{285.71}{1.12} \\\\x = 255.1[/tex]
This is the initial cost price of the book
The total profit made by the student is calculated as;
[tex]Profit \ \%= \frac{selling \ price - cost \ price }{cost \ price} \times 100\%\\\\Profit \ \%=(\frac{400 - 255.1}{255.1} )\times 100\%\\\\Profit \ \%= 56.8\%[/tex]
Thus, the total profit made by the student is 56.8%
Learn more here: https://brainly.com/question/22817183
Order these numbers least to greatest 5/3,1,12/6
Answer:
1,5/3,3 that the answers
Two workers, a trainer and a trainee, working together can do a job in 3 hours. The trainer is 3 times faster than the trainee to complete the same job. How long will it take the trainee to finish the same job?
Answer:
4 hours
Step-by-step explanation:
Ratio of working together
Job : number of hours
1 : 3 = 1/3
Trainer
Job : number of hours
1 : x = 1/x
Trainee
Job : number of hours
1 : 3x = 1/3x
1/x + 1/3x = 1/3
Multiply through by 3x
3x(1/x) + 3x(1/3x) = 3x(1/3)
3 + 1 = x
4 = x
x = 4 hours
It takes the trainee 4 hours to finish the job
enter decimal numbers in the boxes to complete the order pair that locates point Q on the coordinate plane
Answer:
(1.5,-1.5)
Step-by-step explanation:
Hope this helps you
what is 0.65 0.59 3/5 from least to greatest
Answer:
0.59, 3/5 0.65
Step-by-step explanation:
3/5 = 0.60
Answer: 0.59, 3/5 (0.60), 0.65
Step-by-step explanation: If you would convert 3/5 into a decimal it would be 0.6, you'd divide 3 by 5. Hope this helps!
round 803 to the nearest ten. Enter your answer in the box below.
Answer:
800
Step-by-step explanation:
Answer:
Hey buddy, here is your answer. Hope it helps you
Step-by-step explanation:
It will round off to 800 as it is below 5. Above 5 it will round off to 810.
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:
A student wants to use the property
(
x
−
y
)
(
x
+
y
)
=
(
x
2
−
y
2
)
to find the product
(
26
)
(
34
)
.
Which statement is true?
The property is an illustration of difference of two squares
The true statement is [tex]\mathbf{(30 - 4)(30 + 4) = 30^2 -4^2}[/tex]
The property is given as:
[tex]\mathbf{(x - y)(x + y) = x^2 - y^2}[/tex]
The product is given as:
[tex]\mathbf{(26)(34)}[/tex]
Let x - y = 26, and x + y = 34.
So, we have:
[tex]\mathbf{x - y = 26}[/tex]
[tex]\mathbf{x + y = 34}[/tex]
Make x the subject in [tex]\mathbf{x - y = 26}[/tex]
[tex]\mathbf{x = 26 +y}[/tex]
Substitute 26 + y for x in [tex]\mathbf{x + y = 34}[/tex]
[tex]\mathbf{26 + y+ y = 34}[/tex]
[tex]\mathbf{26 + 2y = 34}[/tex]
Subtract 26 from both sides
[tex]\mathbf{2y = 34 -26}[/tex]
[tex]\mathbf{2y = 8}[/tex]
Divide both sides by 2
[tex]\mathbf{y = 4}[/tex]
Substitute 4 for y in [tex]\mathbf{x = 26 +y}[/tex]
[tex]\mathbf{x = 26 + 4}[/tex]
[tex]\mathbf{x = 30}[/tex]
So, we have:
[tex]\mathbf{(x - y)(x + y) = x^2 - y^2}[/tex]
[tex]\mathbf{(30 - 4)(30 + 4) = 30^2 -4^2}[/tex]
Hence, the true statement is [tex]\mathbf{(30 - 4)(30 + 4) = 30^2 -4^2}[/tex]
Read more about difference of two squares at:
https://brainly.com/question/23651973
