Given that in a △ABC, ∠A:∠B:∠C=11:5:4
Let the angles of the given triangle be 11xo,5xo,4xo.
We know that the sum of the angles of a triangle is 180o
11xo+5xo+4xo=180o⇒20xo=180o
xo=12110o=15o
So, the angles of the triangle are 70o,60o,45o.
if you laid a billion dollars worth of 10-dollar 10 -dollar bills side by side, how many dollar bills would you use? how many miles long would the trail be? (the width of a 10-dollar 10 -dollar bill is 2.61 inches.) is 2.61 inches.) (give your answers to the nearest whole number.)
The correct answer is it will stretch far 59.3 lakh miles .
Given that,
If a billion 10-dollar bills were placed side by side, the total value would be $1.
To find :What amount of dollars would you use? How far would the trail stretch?
A dollar bill is 2.61 inches wide.
The dimensions of a billion dollar bill are 2.61 x 1,000,000,000 inches.
Divide this by 12 to convert to feet: 2.61 x 1,000,000,000 / 12.
Divide that by 5280 to convert it to miles: 2.61 x 1,000,000,000 x 12 /5280.
(Instead of 2.61 inches, use 6.14 inches if you meant to say it from end to end, the long way.)
To learn more about dimensions click here :
brainly.com/question/28688567
#SPJ4
At the nut farm, the cost price of a bag of almonds is R290. It is sold with a profit of 45%. What is the selling price?
The selling price of the bags of almonds that yields a profit of 45% is $420.5
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.
The formula for profit is given by:
Profit = [(selling price - cost price) / cost price] * 100%
At the nut farm, the cost price of a bag of almonds is R290. It is sold with a profit of 45%. Hence, substituting:
45% = [(selling price - 290)/290] * 100%
0.45 = (selling price - 290)/290
selling price - 290 = 130.5
selling price = 420.5
The selling price is $420.5
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
You spin the spinner once.
3
1
Submit
2
What is P(even)?
Write your answer as a fraction or whole number.
The probability that the spinner will stop at an even value is: P(even) = 1/3.
What is probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. This is the fundamental theory of probability, which is applied to the probability distribution.
The probability that the spinner will stop at an even value is:
P(even) = number of even numbers on spinner / total number on spinner
P(even) = 1 / 3
Hence, the probability that the spinner will stop at an even value is: P(even) = 1/3.
Learn more about probability here:
https://brainly.com/question/30034780
#SPJ1
John is measuring a piece of glass to fit in a triangular frame. He can only remerber to sides of the frame, which are 6 centimeters and 11 centimeters. Between what wwo numbers must the tried side of the frame fall?
The length of the third side should be between 5 and 17.
What are triangles?A triangle is a three-sided polygon because it has three edges and three vertices. The most important attribute of a triangle is the sum of its internal angles to 180 degrees.
Given John is measuring a piece of glass to fit in a triangular frame,
the two sides of the frame are 6 cm and 11 cm,
let the third side be x,
Any two sides of a triangle can be added together to have a length larger than the third side. Similar to this, any two triangle sides have length differences between them that are smaller than the length of the third side.
i.e. 11 - 6 < x < 11 + 6
5 < x < 17
Hence the third side should vary from 5 cm to 17 cm.
Learn more about triangles;
https://brainly.com/question/2773823
#SPJ1
if the average service rate is 6 customers per hour, and assuming the negative exponential distribution is used to describe the randomness of the service time distribution, what is the probability that the service time will be less than or equal to 6 minutes? a. 0.451 b. 0.549 c. 0.017 d. 0.632
If the average service rate is 6 customers per hour, and assuming the negative exponential distribution is used to describe the randomness of the service time distribution. The probability that the service time will be less than or equal to 6 minutes is 0.549 [B]
The average service rate of 6 customers per hour corresponds to a mean service time of 1/6 = 0.1 hour = 6 minutes. To find the probability that the service time will be less than or equal to 6 minutes, we need to find the cumulative distribution function (CDF) of the exponential distribution evaluated at 6 minutes. The CDF of the exponential distribution is given by:
F(x) = 1 - exp(-λx)
where,
λ = 1/mean = 1/0.1 = 10. Plugging in x = 6, we get:
F(6) = 1 - exp(-10 * 6) = 1 - exp(-60) ≈ 0.549
Here you can learn more about the probability
brainly.com/question/15898523
#SPJ4
consider the grid of points shown here. suppose that, starting at the point labeled a, you can go one step up or one step to the right at each move. this procedure is continued until the point labeled b is reached. how many different paths from a to b are possible?
The following is an excerpt from A First Training in Probability by Sheldon Ross. (74) = 35 is the right response.
Total moves required are 7, as follows:
Three steps up as well as four steps right.
Remember that perhaps the number of paths equals the number of arranged 7-tuples with 3 U's and 4 R's. As instance, the word URRURRU indicates to travel up, right, up, right, right, up.
There are 7 ways to arrange these letters, 7 ways to arrange the corresponding Us, and 7 ways to arrange the comparable Rs, for a total of 7!3!4! (74).
For each NxN grid, we may write the following as a generalization of our formula: It should be noted that there's a simpler method of writing this: D = N! / (K! * (N-K))! additionally known as the binomial coefficient.
To know more about binomial coefficient click here
brainly.com/question/14216809
#SPJ4
What is the period of the function?
4
-8
-6
Enter your answer in the box.
-2
2
0
-2
АУ
the
2
4
6
X
The period of the function graphed is 4
What is the period of trigonometric function?The period of a trigonometric function is the length of one complete cycle of the function.
For the common trigonometric functions (sine, cosine, tangent, cotangent, secant, cosecant), the period is 2π for sine and cosine and π for the others.
In the graph the value in the domain for the function to make a complete oscillation is 4 hence the period is 4
Learn more about period at:
https://brainly.com/question/26146375
#SPJ1
A toy manufacturer as Mrs. 6% of its products are defective if it produces 550 toys in one day then how many will be defective
Therefore , the solution of the given problem of linear equation comes out to be Defective toys, D = 33 toys.
A linear equation is precisely what?A straightforward regression curve is created using the equation y=mx+b. The y-intercept is m, and the slope is B. The previous sentence is usually referred regarded as a "mathematical formula integrating multiple variables," even though y or y are different parts. Only two variables are present in bivariate linear equations. There are no known solutions to application issues involving linear equations. Y=mx+b.
Here,
If a toy company makes 550 toys in a single day, 33 of those products will be flawed.
Let D represent the faulty toys.
The sum of the toys should be T.
Given the upcoming information:
A day's worth of production results in 550 toys overall.
To calculate how many toys would be flawed after production, use the formula:
=> D = 6/100 * T
Using the parameters provided, we can calculate D as follows:
=> D = 6/100 * 550
=> D = 0.06*550
=> Defective toys, D = 33 toys.
Therefore , the solution of the given problem of linear equation comes out to be Defective toys, D = 33 toys.
To know more about linear equation visit:
https://brainly.com/question/11897796
#SPJ1
what is the arc length of an arc with a central angle of 11pi/6 radians in a circle with a radius of 18cm? round the nearest whole number. show all work
The measure of the arc length of the sector will be 103.62 centimeters.
What is the arc length of the sector?Let r be the radius of the sector and θ be the angle subtends by the sector at the center. Then the arc length of the sector of the circle will be
Arc = (θ/2π) 2πr
The central angle is 11π / 6 radian and the radius is 18 cm. Then the measure of the arc length is given as,
Arc = {(11π / 6)/2π} 2π (18)
Arc = 0.9167 x 2 x 3.14 x 18
Arc = 103.62 cm
The measure of the arc length of the sector will be 103.62 centimeters.
More about the arc length of the sector link is given below.
https://brainly.com/question/15955580
#SPJ1
Kendall has only quarters and dimes in her pocket. The total value of these coins is $1.50. The equation below can be used to find q, the number quarters, and d, the number of dimes in her pocket. If Kendall has 4 quarters in her pocket, how many dimes are in her pocket? 25g + 10d = 150
Answer: We can use the equation to find the number of dimes in Kendall's pocket:
25g + 10d = 150
25 * 4 + 10d = 150
100 + 10d = 150
10d = 50
d = 5
So Kendall has 5 dimes in her pocket.
Step-by-step explanation:
investigators are interested in comparing the mean hours to recovery after surgery for two different procedures. participants were randomized to receive one of the two procedures and then followed to full recovery. what type of study is this?
The study is a randomized controlled trial (RCT) study.
In an RCT study, participants are randomly assigned to either the treatment group or the control group. The treatment group receives the intervention (in this case, one of the two surgery procedures) being studied, while the control group does not receive the intervention.
The participants are then followed to observe the outcome of interest (in this case, the hours to recovery after surgery).
The goal of an RCT study is to determine if the intervention has an effect on the outcome. By randomly assigning participants to the treatment and control groups, any observed differences in the outcome between the two groups can be attributed to the intervention.
This helps to control for other factors that may influence the outcome and reduces the risk of bias in the results.
To know more about randomized controlled trial, here
https://brainly.com/question/14209363
#SPJ4
what was the ending balance? a sample bank statement. responses $597.35 $597.35 $715.26 $715.26 $751.58 $751.58 $880.88 $880.88
The final balance of the bank statement was $880.88. This amount reflects deposits, withdrawals, fees, and interest accrued during the statement period.
The final balance of a bank statement is the amount of money that is in the account after all deposits, withdrawals, fees, and interest have been accounted for during the statement period. To calculate the ending balance, start with the beginning balance and then add any deposits that were made during the statement period. Then, subtract any withdrawals, fees, and interest that were charged during the statement period. The final balance will be the amount that remains after all transactions have been accounted for. In this example, the ending balance was $880.88.
The complete question:
what was the ending balance? a sample bank statement.
A) $597.35
B) $715.26
C) $751.58
D)$880.88.
Learn more about amount here
https://brainly.com/question/8082054
#SPJ4
select the two values of x that are roots of this equation x^2-5x+5=0
The solution of the quadratic equation is [tex]x = \dfrac{5\pm\sqrt5}{2}[/tex].
A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Given that the quadratic equation is x²-5x+5=0. The equation can be solved as below:-
x²-5x+5=0
a = 1 , b = -5 , c = 5
[tex]x = \dfrac{-b \pm\sqrt{(b^2-4ac}}{2a}[/tex]
[tex]x=\dfrac{5\pm\sqrt{25 - 4\times1\times5}}{2}[/tex]
[tex]x = \dfrac{5\pm\sqrt5}{2}[/tex]
The value of x for the quadratic equation will be [tex]x = \dfrac{5\pm\sqrt5}{2}[/tex].
To know more about quadratic equations follow
https://brainly.com/question/1214333
#SPJ1
a plane was flying to springfield. with a tailwind, the plane averaged 163 miles per hour. on the return trip, the plane averaged 127 miles per hour flying back in the same wind. what is the speed of the wind? what is the speed of the plane with no wind?
The wind speed and plane speed is 11 and 96 mph.
It is required to find the speed of the plane in still air and the speed of the wind.
What is arithmetic?
Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
Let plane speed be "p".
Let wind speed be "w".
According to given question we have,
p + w = 107 mph
p - w = 85 mph
By the method of elimination we get,
2p = 192
p = 96 mph
The plane speed is 96 mph.
Solve for "w":
p + w = 107
96 + w = 107
w = 11 mph
The wind speed is 11 mph.
Therefore, the wind speed and plane speed is 11 and 96 mph.
Learn more details about speed here:
brainly.com/question/11559160
#SPJ4
7 a 96 cm long line segment is divided into 3 parts in the ratio 2:9:5 . what is the length of the smallest part?
The length of the smallest part of the line segment is 12 cm.
The line segment of length 96 cm is divided into 3 parts with the ratio of 2:9:5. The given ratio is a part-to-whole ratio. We can find the lengths of the parts by applying the formula:
Part = Whole × Ratio
Part 1 = 96 cm × (2/16)
= 12 cm
Part 2 = 96 cm × (9/16)
= 54 cm
Part 3 = 96 cm × (5/16)
= 30 cm
Therefore, the length of the smallest part of the line segment is 12 cm.
Learn more about line segment here:
https://brainly.com/question/30072605
#SPJ4
a number n is rounded to 2 decimal place
the result is 3.87
using inequalities write down the error interval for n
Answer:
3.90
hope its help
Step-by-step explanation:
y=3.87
n=d/3.90
Excute. by down interval 34.0
what is the slope and y intercept of the graph of y=3x-5
Using a list of the radical expressions for numbers between 1 and 100 that will reduce, create a list of the reduced radical values. The values should be either a whole number or a radical expression.
The radical expression whose value is a whole number will be √2, √3, √4, √5, √6, √7, √8, √9, √10, ∛2, ∛3, ∛4, the fourth root of 2 and 3, the fifth root of 2, and the sixth root of 2.
What is the simplest radical form?If the power of the variable "a" is b/c. Then the simplest radical form of the expression will be given as,
[tex]\rm \left ( a \right )^{\rm \frac{b}{c}} = \rm \sqrt[\rm c]{\rm a^b}[/tex]
Using a list of the radical expressions for numbers between 1 and 100 will reduce, create a list of the reduced radical values.
The number whose square lies between 1 to 100 is given as,
2² = 4
3² = 9
4² = 16
5² = 25
6² = 36
7² = 49
8² = 64
9² = 81
10² = 100
The number whose cube lies between 1 to 100 is given as,
2³ = 8
3³ = 27
4³ = 64
And some other values are given as,
2⁴ = 16, 2⁵ = 32, 2⁶ = 64, and 3⁴ = 81
The radical expression whose value is a whole number will be √2, √3, √4, √5, √6, √7, √8, √9, √10, ∛2, ∛3, ∛4, the fourth root of 2 and 3, the fifth root of 2, and the sixth root of 2.
More about the simplest radical form link is given below.
https://brainly.com/question/7440652
#SPJ1
.......................
Answer:
hi
Step-by-step explanation:
what are the gametes that can be produced by the following individuals? a. bgbg(1 point) b. bbgg x bbgg (1 point)
The gametes that can be produced by individual bgbg are B, and G, and the gametes that the offspring can produce are BB, BG, BG, BG, BG, BG, BG, and GG.
a. bgbg
The individual bgbg can produce gametes that are either B or G, as they carry one allele of each. Therefore, the gametes that can be produced by this individual are:
B, G
b. bbgg x bbgg
The individuals bbgg x bbgg are heterozygous for two different traits (B and G). In this cross, each parent can contribute either a B or a G allele to the offspring.
There are four possible combinations of gametes for each parent, for a total of 16 possible offspring combinations:
BB x BB = B offspring: BB, BG, BG, BB
BB x BG = B offspring: BB, BG, BG, BG
BB x GG = B offspring: BG, BG, BG, BG
BG x BG = B offspring: BG, BG, BG, BG
BG x GG = G offspring: BG, BG, BG, GG
GG x GG = G offspring: GG, GG, GG, GG
So, the gametes that can be produced by the offspring are:
BB, BG, BG, BG, BG, BG, BG, and GG
To know more about gametes, here
https://brainly.com/question/29600905
#SPJ4
Chelsea left the WHite House and traveled toward the capital at an average speed of 34km/h. Jasmine left at the same time and traveled in the opposite direction with an average speed of 65km/h. Find Jasmine's and Chelsea's time, rate, and distance.
The distance traveled by Jasmine and Chelsea is given by the equations of speed and J = 20.4 km and C = 39 km , where T is the time taken and T = 0.6 hours
What is Speed?Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude
Speed = Distance / Time
Given data ,
Let the speed of Jasmine be represented as S₁ = 34 km/h
Let the speed of Chelsea be represented as S₂ = 65 km/h
Now , the distance traveled by Jasmine = J
And , the distance traveled by Chelsea = C
The measure of J = measure of C
So , the distances are the same
Let the time taken by both Jasmine and Chelsea be T
Now , Speed = Distance / Time
Substituting the values in the equation , we get
Distance D = 34T
And , distance D = 65T
Now , the total distance D = 59.4 km
So , 34T + 65T = 59.4
On simplifying the equation , we get
99T = 59.4
T = 0.6 hours
Hence ,
The distance traveled by Jasmine and Chelsea are 20.4 km and 39 km respectively
To learn more about speed click :
https://brainly.com/question/19930939
#SPJ1
a scientist looks at small pond organisms using a microscope. in his view, one of the organisms is 2.2 cm long when magnified to 100 times its actual size. What is its actual length, in mm?
The actual length of Organism is 0.22 mm.
What is Scale Factor?A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure.
Given:
The size of Organisms is 2.2 cm when magnified to 100 times its actual size.
So, the actual size in cm
= 2.2/ 100
= 0.022 cm
Now, we know 1 cm = 10 mm
= 0.022 x 10
= 0.22 mm
Hence, the actual size is 0.22 mm.
Learn more about Scale factor here:
https://brainly.com/question/30215119
#SPJ1
what is the soulution 8x + 4x = 0
Answer:
0
Step-by-step explanation:
8x + 4x = 0
12x = 0
x = 0/12
x = 0
Step-by-step explanation:
combine like terms[tex]8x + 4x = 0[/tex]
[tex]12x = 0[/tex]
divide both sides by the same factor[tex] \frac{12x}{12} = \frac{0}{12} [/tex]
cancel terms that are in both the numerator and denominator[tex] \frac{12x}{12} = \frac{0}{12} [/tex]
[tex]x = \frac{0}{12} [/tex]
which is basically 0
Find the reciprocals of the numbers below.
The reciprocal of 19 is [?]
The reciprocal of 1/6 is[?]
Answer: 1/19, 6/1 (6)
Step-by-step explanation: To find the reciprocal of a fraction, switch the numerator and the denominator (the top and bottom of the fraction, respectively). So, simply speaking, the reciprocal of a/b is b/a. To find the reciprocal of a number, divide 1 by the number. So for example, the reciprocal of 5 would be 1/5
16 days 5 hours 23 minutes. how many minutes and hours come out in total?
Answer:
389 hours and 23 minutes
Step-by-step explanation:
16x24=384
384+=5=389
and 23 minutes
new car is purchased for 21100 dollars. The value of the car depreciates at 10.5% per year. What will the value of the car be, to the nearest cent, after 6 years:
The value of the car can be, to the nearest cent, after 6 years is, 108454 cents
What is the percentage?The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.
Formula for percentage;
Percentage = (present quantity/whole quantity)×100
Given that,
New car is purchased for 21100 dollars
The value of the car depreciates at 10.5% per year
The value of the car after 6 years = ?
After 1 year,
Value = 21100 - 10.5% of 21100
= 21100 - (10.5x21100)/100
= 21100 - 0.105x21100
= 21100(1 - 0.105)
After 2 year,
Value = 21100(1 - 0.105) - 10.5% of 21100(1 - 0.105)
= 21100(1 - 0.105) - 0.105x21100(1 - 0.105)
= 21100(1 - 0.105)(1 - 0.105)
= 21100(1 - 0.105)²
Similarly, After n years,
Value = 21100(1 - 0.105)ⁿ
So, After 6 years,
Value = 21100(1 - 0.105)⁶
= 21100x0.895⁶
= 21100x0.514
= $10845.4
It is known that,
1 dollar = 100 cents,
So, value in cents after 6 years,
⇒ 10845.4x100
⇒ 108454
Hence, the value after 6 year is 108454 cents
To know more about Percentage check:
https://brainly.com/question/29306119
#SPJ1
What is 10x9+2
Anyways can someone help me with my other question on english.
Answer: 92
Step-by-step explanation: multiply first. 9x10=90. now add the two to the answer we just got. 90+2? 92.
Miguel went for a drive in his new car. He drove at a speed of 53 miles per hour for 84.8 miles
Time taken by Miguel car to drive is, 1.6 hour.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
Miguel went for a drive in his new car. He drove at a speed of 53 miles per hour for 84.8 miles.
We know that;
⇒ Speed = Distance / Time
⇒ Time = Distance / Speed
Here, Speed = 53 miles per hour
Distance = 84.8 miles
Hence, We get;
⇒ Time = 84.8 / 53
⇒ Time = 1.6 hour
Thus, Time taken by Miguel car to drive is, 1.6 hour.
Learn more about the divide visit:
https://brainly.com/question/28119824
#SPJ1
a large lot of manufactured items contains 10% with exactly one defect, 7% with more than one defect, and the remainder with no defects. ten items are randomly selected from this lot for sale. if y1 denotes the number of items with one defect and y2, the number with more than one defect, the repair costs are y1 3y2. find the mean, in dollars, and variance of the repair costs.
The mean of the repair cost is 2.1 dollars and the variance of the repair cost is 0.
Let's call the number of items with no defects x. Then, we have:
x + y1 + y2 = 10
And we know that:
[tex]y1 = 10 * 0.10 = 1[/tex]
y2 =[tex]10 * 0.07 = 0.7[/tex]
x = 10 - y1 - y2 = 10 - 1 - 0.7 = 8.3
So, the expected number of items with one defect is E(y1) = 1 and the expected number of items with more than one defect is E(y2) = 0.7.
The expected repair cost is [tex]E(cost) = E(y1) * 3 * E(y2) = 1 * 3 * 0.7 = 2.1.[/tex]
The variance of the number of items with one defect is Var(y1) = E(y1^2) - [tex](E(y1))^2 = 1^2 - 1^2 = 0[/tex] and the variance of the number of items with more than one defect is [tex]Var(y2) = E(y2^2) - (E(y2))^2 = 0.7^2 - 0.7^2 = 0.[/tex]
Using the formula for the variance of a sum of independent variables, we can calculate the variance of the repair cost as:
[tex]Var(cost) = Var(y1 * 3 * y2) = 3^2 * Var(y1) * Var(y2) = 9 * 0 * 0 = 0[/tex]
To learn more about variance please click on below link.
https://brainly.com/question/14116780
#SPJ4
HELP PLEASEEEEEEEEEEE i will give brainliest<33
Answer:
The unit rate of pages per hour is 39 pages and the unit rate of hour per pages is 1/39 hours
Step-by-step explanation:
We can solve this problem using proportion.
From the question; Leo reads 13 pages in 1/3 hours.
The first part of the question is to find the unit rate for pages per hour.
To find this;
Let x = the number of pages read in 1 hour
13 pages = 1/3 hours
x = 1 hour
Cross-multiply
1/3 × x = 13 × 1
= 13
Multiply both-side of the equation by 3
× 3 = 13× 3
x = 39 pages
Therefore, the number of pages read in 1 hour is 39 which implies the unit rate for pages per hour is 39
For the second part of the question, we are to find the unit rate for hours per page, that is; how many hours can he use to read a page.
Let x = the number of hour use to read a page
13 pages = 1/3 hour
1 pages = x
Cross-multiply
13x = 1/3
To get the value of x, we will divide both-side of the equation by 1/13
13x × = ×
x = hour
Therefore, the number of hour taken to read 1 page is , which implies the unit rate of hours per page is