given the circumference of circle b is 85 ft . what is the arc lenght of arc ADC?and the lenght of arc Ac
Answers
Answer:
Length of arc AC = 10.6 ft
Length of arc ADC = 73.4 ft
Step-by-step explanation:
θ = 45°
Circumference = 85 ft
✔️First, find the radius:
Circumference of a circle = 2πr
Thus:
85 = 2πr
Solve for r
Use 3.14 as π
Divide both sides by 2π
85/2π = r
85/2*3.14 = r
85/6.28 = r
r = 13.5350318 ≈ 13.5 ft (nearest tenth)
✔️Find length of arc ADC:
Length of arc = θ/360 × Circumference of the circle
θ = 360 - 45° = 315°
Circumference = 85 ft
Plug in the values
Length of arc ADC = 315/360 × 85
= 74.375 ≈ 73.4 ft (nearest tenth)
✔️Find length of arc AD:
Length of arc = θ/360 × Circumference of the circle
θ = 45°
Circumference = 85 ft
Plug in the values
Length of arc AC = 45/360 × 85
= 10.625 ≈ 10.6 ft (nearest tenth)
Related Questions
if a number × is increased by 11,the result is 35.What is the number?
Answers
Answer:
24
Step-by-step explanation:
Equation: x + 11 = 35
1. Subtract 11 from both sides
x + 11 = 35
-11 -11
x = 24
Answer:
x is 24
Step-by-step explanation:
Let's write it down as an equation
If number x is increased by 11, we'll write is as x+11 and the result of that is 35, so x + 11 = 35
x + 11 = 35 implies that
x = 35 - 11
35 - 11 = 24
x = 24
The periscope of a submarine is at sea level. The boat captain spots an airplane with
an elevation angle of 30°. The airplane is flying at an altitude of 2000 feet.
The straight line distance between the submarine and the airplane is...
Answers
Answer:
The airplane is 100.4 flying at an altitude of 30,000 feet. AB = 210,000 feet. At what angle is the plane descending (the angle of depression)?. Above is a picture of astronauts ...
7 pages·477 KB
The straight line distance between the submarine and the airplane is 4000 feet.
What is trigonometric ratio?Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let d represent the straight line distance between the submarine and the airplane. Hence:
sin(30) = 2000/d
d = 4000 feet
The straight line distance between the submarine and the airplane is 4000 feet.
Find out more on trigonometric ratio at: https://brainly.com/question/24349828
the initial deposit into an account?
a. compound interest
b. simple interest
c. interest rate
d. principal
Answers
Answer:
B
Step-by-step explanation:
Simple interest is based on the principal amount of a loan or deposit.
Let f(x) = 9 – x g(x) = 3 – x. Find (f – g)(x)
Answers
Answer:
Step-by-step explanation:
Remark
This would be easier to understand if it was written like f(x) - g(x). You might see what the question really is.
Equation
(f - g)x = f(x) - g(x)
Solution
(f - g)x = 9 - x - (3 - x) remove the brackets
(f - g)x = 9 - x - 3 + x
(f - g)x = 6
Its says in question 4 tue horizontal translation is A right.?
Answers
Answer:
Here we have:
g(x) = 3*f( 2*x - 2) - 1
We want to know the horizontal translation used here.
We need to discuss two types of transformations here.
horizontal translation.
If we have a function f(x), a horizontal translation of N units is written as:
g(x) = f(x + N)
if N is negative, the translation is to the right.
if N is positive, the translation is to the left.
Horizontal dilation.
For a function f(x) an horizontal dilation of scale factor k is written as:
g(x) = f( x/k)
You can see that in our function we have both of these transformations.
Because we compare the translation with f(x), we assume that the horizontal translation is the first thing we did, then we must have
translation:
g(x) = f(x + N)
and now a horizontal dilation of scale factor k
g(x) = f( (x + N)/k)
Then we must have that the argument of the above function is the same as the argument of the given function.
(x + N)/k = 2*x - 2
then:
k = 1/2
(x + N)/1/2 = 2*x + 2*N = 2*x - 2
2*N = -2
N = -2/2 = -1
This means that we have a translation of 1 unit to the right.
what is the area of the composite figure
Answers
Answer:
D) 476 ft²
Step-by-step explanation:
12x14=168
(25+31)/2=28
28x11=308
308+168=476
A vehicle purchased for $29,800 depreciates at a constant rate of 4%. Determine the approximate value of
the vehicle 10 years after purchase. Round to the nearest whole dollar.
Answers
Answer:
$44104
Step-by-step explanation:
Given data
Cost = $29800
Rate= 4%
Time= 10years
Applying the formula below, we can find the cost after 10 years as
A=P(1+r)^t
A= 29800(1+0.04)^10
A=29800(1.04)^10
A=29800*1.480
A=$44104
Hence the new cost is $44104
Lydia made some cookies, of which 1/3 were chocolate chip, ¾ of the remainder were gingersnaps and the rest were peanut butter. If Lydia made 4 dozen cookies altogether, how many peanut butter cookies did she make?
I mark brainliest by today
Answers
Answer:
8 peanut cookies
Step-by-step explanation:
4 x 12 = 48
48 x 1/3 = 2/3 left (16 chocolate chip)
48-16= 2/3 = 32 left
32 x 3/4 = 24 (24 gingersnaps)
32-24 = 8 ( 8 peanut cookies)
giving out brainliest answer !!!! help me out asap please !!!!
Answers
Answer:
8.07
Step-by-step explanation:
sin(48)=x/6
6sin(48)=x
Peter had 6 crayons. Mike gave Peter some more crayons. Then Peter had
13 crayons in all. How many crayons did Mike give Peter?
What type of problem is this, add to/take from: put together/take apart,
or compare? Type your response here.
Solve the problem in the space below.
Answers
Answer:
7
Step-by-step explanation:
13-6=7 compare maybe.....
interest earned on both the principal and any previously earned interest?
a. compound interest
b. simple interest
c. interest rate
d. principal
Answers
Answer:
A. Compound Interest
Step-by-step explanation:
Compound interest is interest paid on both the principal and previously earned interest.
Compound interest earned on both the principal and any previously earned interest. Therefore, the correct answer is option A.
What is the rate of interest?An interest rate tells you how high the cost of borrowing is, or high the rewards are for saving. So, if you're a borrower, the interest rate is the amount you are charged for borrowing money, shown as a percentage of the total amount of the loan.
Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.
The formula used to find the compound interest = [tex]A=P(1+\frac{r}{100})^{nt}[/tex]
Therefore, option A is the correct answer.
To learn more about the rate of interest visit:
brainly.com/question/28236069.
#SPJ2
Are these triangles similar? If yes, write a similarity statement.
Answers
If a dozen dozen candies cost a half-a-dozen dimes a dozen, how much will a half-a-dozen dozen candies cost?
Answers
Answer:
74
Step-by-step explanation:
The cost of half-a-dozeon dozen candies for this case will be $3.6
How much a dozen consists of ?A dozen of a thing means 12 of such thing is in consideration. If we say we have a dozen pencils, then twe mean we have 12 pencils.
For this case, it is given that:
Cost of a dozen dozen candies = half a dozen dimes a dozenCost of a half a dozen dozen candies = ? (to find)A dozen contains 12 quantities.
A dozen dozen candies means 12 times 12 = 144 candies
half a dozen dimes dozen cost = (12/2) × 12 dimes = 72 dimes
That means:
144 candies cost 72 dimes.
Dividing both quantities by 144 to get price of 1 candy:
144/144 = 1 candy's price = 72/144 dimes = 0.5 dimes = 0.05 dollars (1 dime = 0.1 dollars)
Half a dozen times dozen candies = 72 candies
1 candy costs 0.05 dollars
72 candies cost [tex]72 \times 0.05 = 3.6[/tex] dollars.
Thus, the cost of half-a-dozeon dozen candies for this case will be $3.6
Learn more about forming equations here:
https://brainly.com/question/11938672
How many, and what type of solutions, does 6x squared - 2x + 7 = 0 have
Answers
Answer:
the correct answer is 2 no real solurions hope this helps
Consider the following statement. ∀a ∈ Z, (a − 1) a is not an integer. (a) Select the correct negation for this statement. For every integer a, a − 1 a is an integer. There is an integer a such that a − 1 a is not an integer. For every integer a, a − 1 a is not an integer. There is an integer a such that a − 1 a is an integer. (b) Is the given statement true or false? If the statement is true, enter TRUE; if the statement is false, enter a value of a that could be used as part of a counterexample that justifies its falseness.
Answers
Answer:
a) There is an integer a such that [tex]\frac{a-1}{a}[/tex] is an integer
b) False
Step-by-step explanation:
Statement : ∀a ∈ Z, (a − 1) a is not an integer
A) The correct negation will be :
There is an integer a such that [tex]\frac{a-1}{a}[/tex] is an integer
B) The Given statement is FALSE because
when we assume the value of a = 1
( a - 1 ) / a = (1 - 1 ) / 1 = 0 ; which is an integer
Emma's dad and her Uncle Pete are trying to recreate their dad's famous dipping sauce for an upcoming family reunion. They remember thinking the sauce was too spicy when they were kids, but they can't remember exactly how much spicy chipotle sauce and tangy mayonnaise to mix now. Emma's dad uses 8 tablespoons of chipotle sauce and 12 tablespoons of mayonnaise. Uncle Pete uses 6 tablespoons of chipotle sauce and 10 tablespoons of mayonnaise. Who makes a spicier sauce?
NO LINKS PLEASE!!!!!!!
Answers
Step-by-step explanation:
the ratio is a comparison of two numbers that have the same unit so...
the answer is Emma's dad makes a spicy sauce
Answer:
Step-by-step explanation:
emmas dad becuase if it was the same pete would have to add 6.667 tsp to make it eqeal so emmas dad makes the spicer one
Solve for x.
Enter the solutions from least to greatest.
(2x + 4)(3x − 2) = 0
lesser x =
greater x =
Answers
Answer:
lesser x = -2, greater x = 2/3
Step-by-step explanation:
(2x+4)= 0 ---> bring 4 to the other side
2x=-4 ----> divide by 2 on both sides
x= -4/2 = -2 ----> simplify
(3x-2)= 0 ----> bring the 2 to the other side
3x=2 ----> divide by three on both sides
x=2/3
hope this helps!
what is 91,360 in expanded form
Answers
Answer:
Expanded Notation Form:
91,360 =
90,000
+ 1,000
+ 300
+ 60
+ 0
Expanded Factors Form:
91,360 =
9 × 10,000
+ 1 × 1,000
+ 3 × 100
+ 6 × 10
+ 0 × 1
Expanded Exponential Form:
91,360 =
9 × 104
+ 1 × 103
+ 3 × 102
+ 6 × 101
+ 0 × 100
Word Form:
91,360 =
ninety-one thousand three hundred sixty
Hope this helps! mark me as brainliest if possible, you dont have too!
Step-by-step explanation:
Some one help please
Answers
Answer:
subtracting 14 from sides of the number sentence
Step-by-step explanation:
14 + n = 84
Since 14 is being added to n, you need to subtract 14 from both sides to solve for n.
Answer: subtracting 14 from sides of the number sentence
5. In one year, there were 125 major new automobile types available. If you look at the miles per gallon (MPG) for these vehicles, the distributions are roughly normal. The means and standard deviations are given by:
Mean Standard Deviation
City MPG 22.37 4.77
Highway MPG 29.09 5.46
a. The Honda Civic had a rating of 45 highway MPG. What is the probability that your car has a worse highway gas mileage than the Civic?
b. The Lincoln Continental had a rating of 17 city MPG. What percent of cars are likely to have a better city gas mileage than the Continental?
Answers
Answer:
a. 0.0018 = 0.18% probability that your car has a worse highway gas mileage than the Civic
b. 89.06% of cars are likely to have a better city gas mileage than the Continental
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
a. The Honda Civic had a rating of 45 highway MPG. What is the probability that your car has a worse highway gas mileage than the Civic?
For Highway, we have that [tex]\mu = 29.09, \sigma = 5.46[/tex]
This probability is the pvalue of Z when X = 45. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{45 - 29.09}{5.46}[/tex]
[tex]Z = 2.91[/tex]
[tex]Z = 2.91[/tex] has a pvalue of 0.9982
1 - 0.9982 = 0.0018
0.0018 = 0.18% probability that your car has a worse highway gas mileage than the Civic.
b. The Lincoln Continental had a rating of 17 city MPG. What percent of cars are likely to have a better city gas mileage than the Continental?
City means that [tex]\mu = 22.37, \sigma = 4.37[/tex]
This probability is 1 subtracted by the pvalue of Z when X = 17. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{17 - 22.37}{4.37}[/tex]
[tex]Z = -1.23[/tex]
[tex]Z = -1.23[/tex] has a pvalue of 0.1094
1 - 0.1094 = 0.8906
0.8906 = 89.06% of cars are likely to have a better city gas mileage than the Continental
HELP TIMED URGENT PLS
Answers
Answer:
3 cm!
Step-by-step explanation:
Volume= length times width times height
90/3=30
30/10=3!
The graph of a linear function
is shown on the grid.
What is the rate of change of y with respect to x for this function?
Record your answer in the space below.
Answers
If the slope (-.5) needed to be a decimal it would be -1/2
The y value is 5
find the area 36in 40in 50°
Answers
Answer:
770in2
please brain or heart me im about to level up
Please help give me the brainliest answer
Answers
Answer:
±[tex]2\sqrt{6}i[/tex]
Step-by-step explanation:
±√24
±√-1 √24
±√24 i
±2√6 i
Graph this function.
F(x)= -1/3x + 8
I need help ASAP! The -1/3x is a fraction. Can anyone help?
Answers
Step-by-step explanation:
Rewrite the function as an equation.
[tex]y = - \frac{x}{3} + 8[/tex]
Rewrite in slope-intercept form.
[tex]y = - \frac{1}{3} x + 8[/tex]
Use the slope-intercept form to find the slope and y-intercept.
Slope : - 1/3
y-intercept: (0,8)
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
Graph the line using the slope and the y-intercept, or the points.
Find the scale factor used to go from the actual picture to the scale drawing!
Answers
Answer:
1/3
Step-by-step explanation:
9:6
3:2
9/3 = 3
6/2 = 3
9 x (1/3) = 3
6 x (1/3) = 2
scale factor is 1/3
Find the GCF of the terms of the polynomial.
1424 - 7023 + 1022
Answers
The sales tax rate is 5%. If Carmen buys a fountain priced at $329.97, how muchztax will
she pay?
Round your answer to the nearest cent: $
Answers
Answer:
$16.50
Step-by-step explanation:
Take the total price, convert the percentage to a decimal and multiply the two together.
329.97*0.05=16.498
Round to the nearest cent.
$16.50
Answer:
346.47
Step-by-step explanation:
the equation is: 329.97 * 5/100 + 329.97
= 16.4985 +329.97=346.4685
rounding to the nearest cent we get 346.47
I need this today plz help
Answers
Answer:
the answer is either A or C
Step-by-step explanation:
I'm not sure if it's going from Triangle O to Triangle N
Or if its going from Triangle N to O
C
answer explanation:;
is c
ALGEBRA
tell whether the given value is a solution of the equation. (yes or no)
1. x+16=20;x+4
2. p-4+28;p+32
3. 4w+44;w=10
4. y/6= 6;y=24
Answers
Step-by-step explanation:
1. yes 4+16 = 20
2. yes 32 - 4 = 28
3. yes 4(10) = 40
4. no 24/6 = 4
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
1.yes
2.yes
3.yes
4.no
