Answer:
Option (c).
The angle is given by 3 radian.
Step-by-step explanation:
Arc length = 12 cm
radius = 4 cm
The relation between the angle and the radius is
[tex]angle = \frac{arc length}{radius}\\\\angle =\frac{12}{4}\\\\angle = 3 radian[/tex]
Option (c) is correct.
A cyclist travels 7 km from home to the park.
She leaves home at 17:40 and arrives at the park at 17:55.
What is her average speed in km/h?
Answer:
28 km per hour
Step-by-step explanation:
First determine the amount of time that the trip took
17:55 - 17:40 = :15 or 15 minutes
We need the time in hours
15 minutes * 1 hour/ 60 minutes = 15/60 hours = 1/4 hours
To determine speed, take distance and divide by time
7 km ÷( 1/4 hours)
Copy dot flip
7 * 4/1
28 km per hour
Trigonometry help me
Answer:
[tex]\theta = \frac{\pi}{6}[/tex]
Step-by-step explanation:
[tex]tan^ 2 \theta - ( \sqrt 3 + \frac{1}{\sqrt3}}) tan \theta + 1 = 0\\\\tan \theta - ( \sqrt 3 + \frac{1}{\sqrt3}}) +\frac{1}{ tan \theta } = 0\\\\[/tex] [tex][ \ divide \ by \ tan \theta \ on \ both \ sides \ ][/tex]
[tex]tan\theta + \frac{1}{ tan \theta }- ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0\\\\\frac{tan^2 \theta + 1}{ tan \theta } - ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0\\\\\frac{sec ^2 \theta}{ \frac{sin \theta }{cos \theta}} - ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0[/tex] [tex][ \tan ^ 2\theta + 1 = sec ^2 \theta \ , \ tan \theta = \frac{sin \theta }{cos \theta } \ ][/tex]
[tex]\frac{sec^2 \theta }{sin \theta \times sec \theta } - ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0\\\\[/tex] [tex][\ \frac{sin \theta }{cos \theta } = sin \theta \times sec \theta \ ][/tex]
[tex]\frac{sec \theta }{sin \theta } - ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0\\\\[/tex]
[tex]sec \theta \ cosec \theta - ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0\\\\[/tex] [tex][ \ \frac{1}{sin \theta } = cosec \theta \ , \ \frac{ sec \theta }{sin \theta } = sec \theta cosec \theta \ ][/tex]
[tex]sec \theta \ cosec \theta - \sqrt 3 - \frac{1}{\sqrt3}} = 0\\\\\frac{\sqrt 3\ sec \theta \ cosec \theta - 3 - 1}{\sqrt3} = 0\\\\\sqrt 3 sec \theta cosec \theta - 4 = 0\\\\[/tex]
[tex]\sqrt3 \frac{1}{cos \theta } \frac{1}{sin \theta } - 4 = 0\\\\\frac{\sqrt3 - 4sin \theta cos \theta} { sin \theta cos \theta } = 0[/tex]
[tex]\sqrt 3 - 2sin 2\theta = 0[/tex] [tex][ \ sin 2 \theta = 2 sin \theta cos \theta \ ][/tex]
[tex]2sin 2 \theta = \sqrt3\\\\sin 2 \theta = \frac{\sqrt3 }{2} \\\\2 \theta = sin^{-1} (\frac{\sqrt3}{2})\\\\2 \theta = 60^{ \circ} = \frac{ \pi}{3}\\\\\theta = \frac{\pi} {6}[/tex]
the meal costs $52.95 for 5 people. Jenna ordered a dessert for $2.50. if Jenna deducts this amount from the total how much will each of the other people pay for their meal
Subtract the dessert from the total:
52.95 - 2.50 = 50.45
Now divide that by the number of people:
50.45/5 = 10.09
Each person would pay $10.09
She would pay 10.09 + 2.50 = 12.59
Here is some information about a holiday.
7 night holiday
$340 per person
8% discount if you book before 31 March
On 15 February, Naseem books this holiday for 2 people.
Calculate the total cost of his holiday.
Answer:
$625.6
Step-by-step explanation:
Information about a holiday:
7 night holiday
$340 per person
8% discount if you book before 31 March
Number of people Naseem booked the holiday for = 2
Date of booking of the holiday = February 15
Total cost of the holiday per person = cost per person - discount before March 31
= $340 - 8% of $340
= 340 - 8/100 * 340
= 340 - 0.08 * 340
= 340 - 27.2
= $312.8
Total cost of the holiday for 2 persons = 2 × Total cost of the holiday per person
= 2 * $312.8
= $625.6
20 points for this make sure u explain
Answer:
it literally says +10
Step-by-step explanation:
scammer
Answer:
Step-by-step explanation:
6,7,8
20 men take 10 days to complete a piece of work. find the time taken by 8 men to complete the same piece of work
Think about the vertical line test and answer the following question. Would a vertical line be a relation, a function, both a relation and a function, or neither a relation nor a function?
A.
both a relation and a function
B.
neither a relation nor a function
C.
function only
D.
relation only
Answer:
relation only
Step-by-step explanation:
The vertical line will be relation only.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable.
In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.
Noted that Linear function is a function whose graph is a straight line
We can conclude that vertical line would be relation only.
Learn more about function here:
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en un salón para eventos (con 4 patas) y banquillos (con 3 patas). si hay x sillas y y banquillos,¿cuántas patas podrías contar en total?
ayuda porfa es para ahora
Keller performed the work below to express the polynomial in factored form:
r(x) = x4 – 8x2 – 9
r(x) = (x2 + 1)(x2 – 9)
(x) = (x + 1)(x – 1)(x + 3)(x – 3)
Explain the error he made and complete the factorization correctly.
Answer:
He made the following mistake, he assumed that polynomial [tex](x^{2}+1) = (x^{2}-1)[/tex], having for granted that [tex]x^{2}+1[/tex] has two real roots, instead of two complex roots.
Step-by-step explanation:
He made the following mistake, he assumed that polynomial [tex](x^{2}+1) = (x^{2}-1)[/tex], having for granted that [tex]x^{2}+1[/tex] has two real roots, instead of two complex roots. The true factorized form of the fourth grade polynomial is:
[tex]r(x) = (x^{2}+1)\cdot (x^{2}-9)[/tex]
[tex]r(x) = (x- i)\cdot (x+i)\cdot (x+3)\cdot (x-3)[/tex]
Someone started fishing at 15.30 am after fishing for 2hours 15 min he rested for half an hour he then continued until 11am how long did he fish?
Answer:
7 Hours
Step-by-step explanation:
According to the Question,
Given, Someone started fishing at 3:30 am after fishing for 2hours 15min. he rested for half an hour(30min). Thus, Now The Clock is Rotating to 3:30 am + 2hour 15 min. + 30 min. = 6:15 am .He then continued doing Fishing until 11 am. As a result, he fished for 4 h 45 min. more after resting.
So the Total Time he Spends Fishing is 4 hour 45 min. + 2 hours 15 min.
7 hours
Complete the frequency distribution table below.
Answer:
.............soooooooooooooooerrrrrrrrrrrrryyyyyyyyyyyyyyy.......... iiiiiiiii........ doooooooonnnnnnnnntttttttt......... kkkknnnnnooooowwww
11 4/5 divided by 3 1/5
A. 3
B. 3 1/2
C. 7/2
D. 4
( Answer within 5-10 minutes to get brainliest! )
Thank you in advance!
I appreciate it all!
Answer:
3.5
Step-by-step explanation:
It's technically 3.69 but 3.5 is the closest answer you can get
Simplify exponents. A, B, or C and explain.
Answer:
[tex]8^{-3}[/tex]
Step-by-step explanation:
[tex]\frac{8^3}{8^6}[/tex]
in division f the base are same u can subtract their exponents
8^3-6
8^-3
Four band members, Harry, Isabel, Jose, and Karen, are all boarding a bus to attend a concert. In each arrangement below, the first initial of each person’s name represents that person’s position as he or she boards the bus: first, second, third, and fourth.
If we know that Karen boards the bus first, which shows the possible outcomes for this event?
KHIJ
KHIJ, KHJI
KHIJ, KHJI, KJHI, KJIH
KHIJ, KHJI, KJHI, KJIH, KIHJ, KIJH
Answer:
D=KHIJ, KHJI, KJHI, KJIH, KIHJ, KIJH
Step-by-step explanation:
Got a 100% on test! EDGE 2021
The possible outcomes for the given event are KHIJ, KHJI, KJHI, KJIH, KIHJ, KIJH.
What is permutation?A permutation is a mathematical technique that is used to calculate total possible outcomes for arrangement provided that the order of selection of items is not fixed.
Given that, Four band members, Harry, Isabel, Jose, and Karen, are all boarding a bus to attend a concert
The formula to determine permutation is:
ⁿPₓ = n!/(n-x)!
Where n is the total number of objects and r is the number of objects selected.
For the given question, n will be 3 since K boards the bus first and hence his position is fixed.
Therefore, H, I, and J can switch positions.
³P₂ = 3!/(3-2)!
³P₂ = 6
Therefore, the correct option is D.
Learn more about permutation here:
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Charlie withdraws cash from an ATM that is not his own bank’s 3 times a month. He pays $1.50 per transaction. If this pattern is consistent across a year, what will his yearly cost be?
Answer:
If I understand this right, the answer is $48.00
Step-by-step explanation:
If they pay $1.50 three times a month just times $1.50 by 12 because there are 12 days in a month, then you get 16, then you times 16 by 3 and you get 48.
(I hope this is right lol)
Answer:
$54.00
Step-by-step explanation:
3 transactions × $1.50 per transaction = $4.50 per month
$4.50 × 12 months in a year = $54.00
Find the range, median, and mode of the following dot plot.
0.11
0.12 0.13
0.14 0.15 0.16 0.17 0.18
Range:
Median:
Mode:
Answer:
Range: 0.07
Median: 0.145
Mode: none
Step-by-step explanation:
Range: largest #- smallest #
Median: middle number (when numbers are in order least to greatest) or when two are middle number you add them, and divide by two
Mode: most occurring number(s) (if there aren't any, no mode)—but if there are multiples such as 2 zeros and 2 ones then 0 and 1 would be the mode
What measure is represented by 17 feet in the figure below?
A cylinder with diameter 17 feet.
the radius of the base
the diameter of the base
the area of the base
the height of the cylinder
Answer: The answer is the diameter.
Step-by-step explanation:
Answer:
diameter
Step-by-step explanation:
the diameter goes straight through the center of the circle
In parallelogram HJKL if m∡KLH=125∘find m∡LHJ.
Answer:
∠ LHJ = 55°
Step-by-step explanation:
Consecutive angles in a parallelogram are supplementary, sum to 180° , so
∠ LHJ + ∠ KLH = 180° , that is
∠ LHJ + 125° = 180° ( subtract 125° from both sides )
∠ LHJ = 55°
please help asap ill give brainliest
Answer:
is 0.24 yards in the option, becausw i am getting this as my answer
If using the method of completing the square to solve the quadratic equation
22 + 2x + 16 = 0, which number would have to be added to "complete the
square"?
Answer:
complete the square 2 x + 38 = 0
Step-by-step explanation:
What line on a coordinate plane is called the x-axis? Horizontal or Vertical. Please respond as quick as possible
Answer:
it's called the horizontal line
Step-by-step explanation:
also known as y=0
2. Round off the following numbers to two decimal places:
b) 4,5873
c) 32,095
a) 56,3456
d) 13,997
Answer:
I think you mean significant figures
Step-by-step explanation:
460003200056000014000Completing the Square
Guided Practice
Solve the equation by completing the square. If necessary, round to the nearest hundredth.
2x2 - 10x - 20 = 8
A. 91/4, — 71/4
B. 7
C.7, -2
In a camp, there were 500 solders. 60 more solders joined them. What percent of the earlier (original) number have joined?
Answer:
89.2%
Step-by-step explanation:
Original number of soldiers=500
New number of soldiers=500+60=560
% of original number of soldiers=(500/560)x100=89.2%
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Unit Pre Test
Submit Test
20
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s)
The equation of a line is 2[v+ 1) = 10x* 3.
The yuntercept of the line is
and the slope of the line is
Answer:gotta go sorry
Step-by-step explanation:
y – 4 = –Two-thirds(x – 6) and passes through the point (−2, −2)?
De las ventas obtenidas en el mes de enero , el dueño de " La chiquita " tiene la obligación de entregar el 16 % de IVA . Si en un mes se vendieron en la tienda $80,000 ¿ Cuánto tendrá que reportar de IVA al gobierno ?
Answer:
The amount paid as VAT is $ 12800.
Step-by-step explanation:
Sales = $ 80,000
VAT = 16 %
The amount of VAT paid to the government is
= 16 % of $ 80,000
= 0.16 x $ 80,000
= $ 12800
The amount paid as VAT is $ 12800.
Which of the pairs of functions and their inverses will always have a domain and range of all real numbers?
Answer:
A pair of linear functions
Step-by-step explanation:
Given
See comment for options
Required
Which has real numbers as its range and domain
The answer to this is, the linear functions
Take for instance
[tex]f(x) = mx + b[/tex]
The above function is real for all values of x
The inverse is calculated as thus:
[tex]f(x) = mx + b[/tex]
Replace f(x) with y
[tex]y = mx + b[/tex]
Swap y and x
[tex]x = my + b[/tex]
Make y the subject
[tex]my = x - b[/tex]
Divide by m
[tex]y = \frac{x - b}{m}[/tex]
Replace y with the inverse function
[tex]f^{-1}(x) = \frac{x - b}{m}[/tex]
The above function (i.e. the inverse function) is real for all values of x
This is not true for other options
!!!10 POINTS I KNOW IT IS NOT ENOUGH BUT PLEASE ANSWER!
AND IF YOU CAN SHOW AT LEAST A LITTLE WORK THAT WOULD BE GREAT I NEED TO SHOW WORK!!!
Answer:
B) 376 units squared
Step-by-step explanation:
Imma put a picture that has a fully explanation. Hope this helps, good luck! ;)
Btw saw your other one got deleted •_• *sigh*
Think of 5 positive integers that have a mode of 4, a median of 6, a mean of 7 and a range of 10.
Answer:
6 6 6 6 11
Step-by-step explanation:
The median is the middle number
the mode is the number of items, usually the number that are the same.
the mean is the average
the range is the number between the smallest and the largest.
So the information you have makes 4 of the 5 numbers the same.
The middle number is 6. This is an interesting fact because it means that 4 of the five numbers are 6
x 6 6 6 6 or 6 6 6 6 x is what you know so far.
The range is a bit of a devil. And so is the mean. We need the mean to be related to 5*7 = 35. So the sum of the five numbers equals 35. The range would have to be 5, I think. (35 - 4*6) = 11
The difference between 11 and 6 = 5
So 11 works for everything but the range.
If the range must be ten, then x = 16 but then the mean = 8 and 7 is incorrect
So I can get 3 out of 4, but not them all.
