The length of an arc with π/3 radian angle and a radius of 18 cm is calculated as: 6π cm.
What is the Length of an Arc?If we are given a circle with radius, r, and a radian angle, ∅, therefore, the length of an arc would be:
S = r∅
Given the following:
r = 18 cm∅ = π/3 radiansLength of arc = 18 × π/3 = 6π cm
In conclusion, the length of an arc with π/3 radian angle and a radius of 18 cm is calculated as: 6π cm.
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What is the measure of angle x?
Answer:
B) 55°
Step-by-step explanation:
The ∑ of all interior angles of a triangle is 180°.
When you see a square in a angle (as seen in the bottom left of the triangle), it means that it is a right angle, or 90° in measurement.
Set the equation:
180 = x + 90 + 35
First, combine like terms:
180 = x + (90 + 35)
180 = x + 125
Next, subtract 125 from both sides of the equation to isolate the x:
180 (-125) = x + 125 (-125)
x = 180 - 125
x = 55
55°, or B) is your answer.
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Wynona buys some new boots that are priced $85. 79. She gets successive discounts of 10% followed by 5% off on the boots. The purchase price of Wynona’s boots is _____ of the original price. A. 84% b. 84. 5% c. 85% d. 85. 5% Please select the best answer from the choices provided A B C D.
By applying basic concept of percentage we got that if She gets successive discounts of 10% followed by 5% off on the boots. The purchase price of Wynona’s boots is 85.5%
What is percentage?Percentage is a number expressed as a fraction of 100.
Here given that Wynona buys some new boots that are priced $85. 79. She gets successive discounts of 10% followed by 5% off on the boots.
First she get 10% discount so she has to pay only 90% amount of original
Now she is getting 5% more off
She has to pay 95% of 90%
so purchase price 0.95[tex]\times[/tex] 90%
= 85.5%
By applying basic concept of percentage we got that if She gets successive discounts of 10% followed by 5% off on the boots. The purchase price of Wynona’s boots is 85.5%
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The following represents a graph of the function h(x). Evaluate for h(-2).
Answer:
2 is the answer of the function h(-2) evaluated
Step-by-step explanation:
Alexandra has a stand in the marketplace where she sells ground cumin. She has a fixed amount of weekly expenses, and she sells her cumin for \$7.20$7.20dollar sign, 7, point, 20 per kilogram. If she sells 909090 kilograms of cumin, her weekly net profit is \$414$414dollar sign, 414.
Answer:
Alexandra's weekly expenses is $234
Step-by-step explanation:
Selling price of 1 kg cumin = $7.20
She sells amount of cumin = 20 kg
Selling price of 90 kg cumin = 90 \times 7.20
Selling price of 90 kg cumin =648
We are given that his weekly profit is $414
We are supposed to find his weekly expense
So, Expense = SP - Profit
Expense = 648-414
Expense=$234
Hence Alexandra's weekly expenses is $234
Alex has a principal of $2,950 that earns 4% annual interest. What is Alex's balance?
your answer is 900.00
your welcome
have a good day or night
Answer:
$3068 after 1 year
Step-by-step explanation:
The dimensions of this figure are changed so that the new surface area is exactly 1/3 what it was originally. What is the new surface area? Enter your answer as a decimal in the box. ft² Please help! tysm ♥
The new surface area is 198.79 ft².
What is Surface Area?An object's surface area is the total area that all of its surfaces occupy. Many 3D shapes in geometry have various surface areas, which are simply calculable using the formulas.
As per the given diagram:
All the dimensions are mentioned
new surface area is exactly (1/3) of original surface area.
Original surface area = (5 × 6.1) + (5 × 10) + (9.8 × 6.1) + (4.9 × 6.1) + (10 × 5) + (14.8 × 4.9) + (10 × 5) + (14.8 × 4.9) + (14.8 × 6.1) + (14.9 × 6.1)
Original surface area = 30.5 + 50 + 59.78 + 29.89 + 50 + 72.52 + 50 + 72.52 + 90.28 + 90.89
original surface area = 596.38 ft²
Therefore,
New surface area = (1/3) of original surface area
= (1/3) × 596.38
= 198.79 ft²
Hence, the new surface area is 198.79 ft².
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Adam graphs a quadratic function. The vertex of the parabola he graphs is located at (5, 0). What is the axis of symmetry
Step-by-step explanation:
the vertex is on the axis of symmetry so the axis of symmetry would be x=5
Answer:
the axis of symmetry is x=5
The numbers of regular season wins for 10 football teams in a given season are given below. Determine the range, mean, variance, and standard deviation of the population data set. , , , , , , , , , The range is 13 13. (Simplify your answer.) The population mean is nothing. (Simplify your answer. Round to the nearest tenth as needed.) The population variance is nothing. (Simplify your answer. Round to the nearest hundredth as needed.) The population standard deviation is
The value of range = 13
The value of mean = 8.4
The value of variance = 23.6
The value of standard deviation = 4.86
What is a mean?It is the average value of the set given.
It is calculated as:
Mean = Sum of all the values of the set given / Number of values in the set
We have,
Population data set:
2, 10, 15, 2, 12, 6, 14, 10, 3, 10.
Range:
= Highest - Lowest
= 15 - 2
= 13
Now,
Mean.
= (2 + 2 + 3 + 6 + 10 + 10 + 10 + 12 + 14 + 15) / 10
= 84/10
= 8.4
Now,
S = Sum of all (x - Mean)²
S = (2 - 8.4)² + (2 - 8.4)² + (3 - 8.4)² + (6 - 8.4)²+ (10 - 8.4)² + (10 - 8.4)² + (10 - 8.4)² + (12 - 8.4)² + (14 - 8.4)² + (15 - 8.4)²
S = 212.4
n = 10
n - 1 = 9
So,
Variance.
S² = S/(n - 1)
= 212.4/9
= 23.6
Now,
Standard deviation = √S²
So,
= √23.6
= 4.86
Thus,
Range = 13
Mean = 8.4
Variance = 23.6
Standard deviation = 4.86
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The complete question:
The numbers of regular season win for 10 football teams in a given season are given below.
Determine the range, mean,variance, and standard deviation of the population data set. 2, 10, 15, 2, 12, 6, 14, 10, 3, 10.
The range is 13. (Simplify your answer.)
The population mean is 8.4. (Simplify your answer.
Round to the nearest tenth as needed.)
The population variance is nothing. (Simplify your answer.
Round to the nearest hundredth as needed.)
The population standard deviation is nothing.
Small cubes of edge length frac{1}{4}
4
1
inch will be packed into the rectangular prism.
How many small cubes are needed to completely fill this rectangular prism?
small cubes
Answer:
she will need 286 cubs
Step-by-step explanation:
5.25x4x3.25=71.5
71.5 divided by 0.25=286
Brady and 3 Friends went to lunch at Mazzio's Pizza. Their meal cost $32, they left a 15% tip. How much was the total Bill, including tip?
Answer:
(32/100) x 115 = $36.80
Step-by-step explanation:
Not much to explain...
What is the answer to this and show the work please.
what goes in the boxes?
Answer:
8 10/3
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Julie is wrapping presents. One present has
dimensions 10 cm by 10 cm by 10 cm and the other
present has dimensions 70 mm by 90 mm by 150
mm?
Which present will take more wrapping paper?
Answer:
The present with dimensions 70 mm by 90 mm by 150 mm will take more wrapping paper.
Step-by-step explanation:
70 mm = 7 cm, 90 mm = 9 cm,
150 mm = 15 cm. From this:
[tex]2(7)(9) + 2(7)(15) + 2(9)(15) = 126 + 210 + 270 = 606[/tex]
[tex]6( {10}^{2} ) = 6(100) = 600[/tex]
On Monday, your bank account balance was -12.58. Because you didn’t realize this, you wrote a check for $ 30.72 for groceries?? What is the new balance in your checking account?
Answer:
43.30
Step-by-step explanation:
hope this helped ;)
Start time 7:30 pm end time 9:55 pm elapsed time:
Answer:
this would be 2 hours and 25 minutes friend :)
Step-by-step explanation:
Please rate 5 star and give brainlest! have an amazing day/night .
I need a answer asap What letter is located at approximately
√
22
22
?
A E
B F
C G
D H

Answer:
From what I'm interpreting, you are asking for the sqrt of 22, which then the answer would be point F
Step-by-step explanation:
knowing sqrt 25 = 5 and sqrt of 16 = 4, and knowing 22 is closer to 25, it can be estimated that sqrt of 22 would be closer to 5 however still less than it.
Help pls i am confused
Answer:
function two
Step-by-step explanation:
it is the only one with change
A boat travels 160 miles in 5 hours. What is its speed in miles per minute?
—> Please show your work!
Step-by-step explanation:
distance = 160mile
time =5 hour or 5×60=300 minutes
speed =distance /time
v=160/300
v=0.5334miles per minute
says find the measure of the indicated angle!! pls help!!! marking brainliest and i have to show work!!
answer:
sin theta=18/21
sin theta ^-1 (18/21)
=58.9972808661
therefore, angle ? = 59°
At a NASCAR racetrack, the distance per lap is 2 miles. Lou Lambert drives his car at a constant rate of 160 miles per hour. Ralph Redding drives his car at a constant rate of 170 miles per hour. How long will it take before Ralph gains 2 laps in relation to Lou?
Answer:
24 minutes
Step-by-step explanation:
Given:
Distance per lap = 2 miles
Speed of Lou Lambert = 160 miles/hr
Speed of Ralph Redding = 170 miles/hr
Speed difference between the two = 170 - 160 = 10 miles/hr
Therefore, we can say that Ralph gains 10 miles in 60 minutes over Lou.
We have to find the time in which Ralph will gain 2 laps i.e. 2 [tex]\times[/tex] 2 = 4 miles.
Let us use unitary method to find the required time.
10 miles are gained by Ralph in 60 minutes
1 mile will be gained in [tex]\frac{60}{10} = 6\ minutes[/tex]
4 miles will be gained in 6 [tex]\times[/tex] 4 = 24 minutes
Atlanta, GA has a CPI of 168. Seattle, WA has a CPI of 204. How does the purchasing power of an Atlanta resident earning a $32,800 salary compare to the purchasing power of a Seattle resident earning a $46,400 salary? a. The Atlanta resident has $34. 46/CPI more than the Seattle resident. B. The Atlanta resident has $83. 20/CPI more than the Seattle resident. C. The Seattle resident has $48. 74/CPI more than the Atlanta resident. D. The Seattle resident has $32. 21/CPI more than the Atlanta resident. Please select the best answer from the choices provided A B C D.
Answer: D, The Seattle resident has 32.21/CPI more than the Atlanta resident.
Step-by-step explanation: This can be solved by figuring out the price per CPI.
A cheese farmer distributes 672 ounces of
cheese each day. The cheese is packaged
in 16-ounce containers. Find the number
of containers of cheese distributed each
day by solving the equation 16c = 672.
Answer:
there are 42 containers
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP
Answer: it think it’s the third one
Step-by-step explanation:
A helicopter hovers 1300 feet above a small island. The figure shows that the angle of depression from the helicopter to point P is 47°. How far off the coast, to the nearest foot, is the island?
Answer:
1.212 ft
Step-by-step explanation:
[tex] \tan(47) = \frac{1300}{d} \\ \\ d = \frac{1300}{ \tan(47) } \\ \\ d = 1.212 \\ \\ [/tex]
ANSWER: 1.212 ft
A person can pay $7 for a membership to the science museum and then go to the museum for
just $1 per visit. What is the maximum number of visits a member of the science museum can
make for a total cost of $46? Write an equation and solve. Show all work!
Answer:
39 visits.
Step-by-step explanation:
In order to solve, we must add the cost of the membership and the cost of the visits to get the sum of 46.
$7 is the cost of the membership, so thats going to be the first number we add. If you revist the museum, you will need to pay $1. Now to save time and space, I will not continusely write $1 until we get to 46, but instead, subtract 46 from 7. The difference we get will be the number of visits. I will be using the variable v to represent the difference/maximim number of visits a member of the science museum can make for a total cost of $46.
Current Equation: 7+1v = $46.
46 - 7 = 39.
7+1(39) = 46
I agree with the previous answer. It indeed is 39.
46-7=39 (7 - price of the membership)
39/1=39 (1 - price of the tickets)
1. Prove the identity
a. tanθ cos θ
Answer:
[tex] \sin0[/tex]
Step-by-step explanation:
[tex] \tan0 \cos0 = \frac{ \sin0 }{ \cos0} \cos0 \\ \\ [/tex]
Therefore,
[tex] \tan0 \cos0 \: = \sin0 [/tex]
what is the length of side BC in the right triangle
A.225
B.21
C.3
D.15
E.63
F.
[tex] \sqrt{63} [/tex]
Answer: I’m guessing it’s e but I might be wrong .
Step-by-step explanation:
Answer: bro it quince (15 in ingles)
Step-by-step explanation:
Please help greatly appreciated
The answer is: 190.091
Answer:
Today: Monday, 12 October 2020
Hour: 05.29 WIB (in Indonesian)
_________________________
area of semicircle
πr²/2
= 3.142 × 11²/2
= 3.142 × 121/2
= 380.182/2
= 190.091 cm²
If QR=x+29 and PS=x–16, what is the value of x?
Answer: 61
By the triangle midsegment theorem, 2(SP)=RQ.
So, 2(x-16)=x+29, meaning x=61.
What is the unit rate for 4 candy bars for $3
Answer:
$1.33
Step-by-step explanation:
divide 4÷3
and you get
1.333333333=
$1.33