The equation sin(40o) = can be used to determine the length of line segment AC. What is the length of ? Round to the nearest tenth._____cm
Answers
Answer:
12.9 centimetersStep-by-step explanation:
The given equation is
[tex]sin(40\°)=\frac{b}{20}[/tex]
Where [tex]b[/tex] represents the length of the segment AC, according to the given graph.
To find [tex]b[/tex] we just need to isolate it in the given equation,
[tex]b=20sin(40\°)[/tex]
Then, we know that [tex]sin(40\°) \approx 0.64[/tex], so
[tex]b=20(0.64)=12.9cm[/tex]
Therefore, the length of segment AC is 12.9 centimeters, rounded to the nearest tenth.
Answer:
B
Step-by-step explanation:
edge 2021
Related Questions
Which set of coordinates, when paired with (3, −3) and (10, −3), result in a square? (−3, −3) and (−10, −3) (3, 10) and (10, 3) (−3, 4) and (−10 , 4) (3, 4) and (10, 4)
Answers
Find the length of the arc shown in red. Leave your answer in terms of Pi
Answers
The calculated length of the red arc is 4.71 units
Finding the length of arc DF
From the question, we have the following parameters that can be used in our computation:
Central angle = 30 degrees
Radius = 9 meters
Using the above as a guide, we have the following:
Arc length = central angle/180 * 3.14 * Radius
Substitute the known values in the above equation, so, we have the following representation
Arc length = 30/180 * 3.14 * 9
Evaluate
Arc length = 4.71
Hence, the length of the arc is 4.71 meters
2. A,B,C,D ?
3. A,B,C,D ?
Answers
The appropriate choice is
a) 18x⁴ -6x³
3. (2 cm)(4 cm)(11 cm) = 88 cm³
The appropriate choice is
b) 88
A single fair die is tossed. find the probability of rolling a number greater than 55.
Answers
HELP ASAP!!!!!!
Solve and graph the inequalities below.
Describe your graphs using words as illustrated in the sample below.
SAMPLE: Part 1: The solution is x > 5 and x<=9.
Part 2: There would be an open circle on 5 and a closed circle on 9.
Part 3: The shading is between the two numbers.
Be sure that you have included all three parts when answering each question. "Greater than or equal to" would be typed >=. "Less than or equal to" would be typed <=.
1.) d - 1 > -3 and d + 2 < 5
2.) -3k + 7 > -5 and -7k + 5 < -2
3.)-5 < 2y - 3 < 23 (Hint: refer to example 2 in the lesson.)
4.)x - 4 < 5 or x + 2 > 15
5.) 5x - 4 > 6 or -4x + 5 > 1
Answers
d-1>-3→d-1+1>-3+1→d>-2
d+2<5→d+2-2<5-2→d<3
Part 1: The solution is d>-2 and d<3.
Part 2: There would be an open circle on -2 and an open circle on 3.
Part 3: The shading is between the two numbers.
2.) -3k + 7 > -5 and -7k + 5 < -2
-3k+7>-5→-3k+7-7>-5-7→-3k>-12→(-1/3)(-3k>-12)→k<4
-7k+5<-2→-7k+5-5<-2-5→-7k<-7→(-1/7)(-7k<-7)→k>1
Part 1: The solution is k>1 and k<4.
Part 2: There would be an open circle on 1 and an open circle on 4.
Part 3: The shading is between the two numbers.
3.)-5 < 2y - 3 < 23 (Hint: refer to example 2 in the lesson)
-5<2y-3<23→-5+3<2y-3+3<23+3→-2<2y<26→-2/2<2y/2<26/2→-1<y<13
Part 1: The solution is y>-1 and y<13.
Part 2: There would be an open circle on -1 and an open circle on 13.
Part 3: The shading is between the two numbers.
4.)x - 4 < 5 or x + 2 > 15
x-4<5→x-4+4<5+4→x<9
x+2>15→x+2-2>15-2→x>13
Part 1: The solution is x>9 or x>13.
Part 2: There would be an open circle on 9 and an open circle on 13.
Part 3: The shading is from 9 to the left and from 13 to the right.
5.) 5x - 4 > 6 or -4x + 5 > 1
5x-4>6→5x-4+4>6+4→5x>10→5x/5>10/5→x>2
-4x+5>1→-4x+5-5>1-5→-4x>-4→(-1/4)(-4x>-4)→x<1
Part 1: The solution is x<1 or x>2.
Part 2: There would be an open circle on 1 and an open circle on 2.
Part 3: The shading is from 1 to the left and from 2 to the right.
Find the amount of the discount on a $234 item with a discount of 15%. A. $40.00 B. $23.40 C. $35.10 D. $35.01
Answers
Your answer is C. $35.10.
Which of the following is a statistical question?
A.
What is Monica's brother's age?
B.
How many students are attending Jessica's dance class today?
C.
How many pages are there in this book?
D.
How many cars are parked in the parking lot each day?
Answers
Statistics is the discipline or science of gathering and analyzing vast amounts of numerical data. The correct option is D.
What are statistics?Statistics is the discipline or science of gathering and analyzing vast amounts of numerical data, particularly with the aim of inferring proportions in a whole from those in a representative sample.
In statistics, a large amount of data is collected to gather some sort of information, through which the important decisions can be taken. Therefore, the question that is an example of a statistical question is "How many cars are parked in the parking lot each day?".
Hence, the correct option is D.
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Jeff put a small box that is 12 inches long, 8inches wide, and 4 inches tall inside a box that is 20 inches long, 15 inches wide and 9 inches high. How much space is left in the larger box?
Answers
V is H×L×W
small box details are 12 inches long, 8 inches wide, and 4 inches tall therefore using the formula given, 12 × 8 × 4 gives you 384 inches ³
big box details are 20 inches long, 15 inches wide, and 9 inches high there using the formula given, 20 × 15 × 9 gives you 2700 inches ³
cubed to the 3rd? because there are 3 numbers instead of 2
so, you're left to subtract with what you gotten 2700 - 384 gives you 2316 inches cubed. hope that was helpful
Select the best answer for the question.
2. Express the fractions 3/4, 7/16, and 5/8 with the LCD.
A. 9/16, 49/16, 36/16
B. 3/4, 2/4, 3/4
C. 12/16, 7/16, 10/16
D. 24/32, 14/32, 24/32
Answers
7/16
(5/8)(2/2)=(5*2)/(8*2)=10/16
/Answer: Option C. 12/16, 7/16, 10/16
Ethan made 14 out of 25 foul shots at basketball practice what percent of shots did he make
Answers
divide 14 by 25:
14 / 25 = 0.56
multiply the answer by 100:
0.56 x 100 = 56%
hey can you please help me posted picture of question
Answers
Horizontal shift is obtained by addition/subtraction a number to every occurrence of x in the equation. Addition indicates a shift towards left and subtraction indicates a shift towards right.
So the correct answer is Subtract that number From.
Q #4
[tex] < 6 < 1 < 2 < 4[/tex]
Answers
∠7 + ∠4 = 180°
Write 760% as a decimal and as a simplified fraction
Answers
7.6
760/100
76/10
7 6/10
760% can be expressed as a decimal by simply dividing by 100, resulting in 7.6. The same percent can be expressed as a simplified fraction by writing it over 100 and simplifying, resulting in 38/5.
Explanation:To convert 760% into a decimal and a simplified fraction, we follow the process of converting percents. First, to convert a percent to a decimal, we need to divide the percent by 100. So 760% becomes 7.6 when expressed as a decimal.
Then, to convert the percent to a simplified fraction, we write the percent as a fraction over 100. So, 760% would be written as 760/100. But it can be simplified. Both 760 and 100 can be divided by 20, so when simplified the fraction becomes 38/5.
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Someone help I don't understand this.
Answers
find the area of the regular decagon if the apothem is 2.8ft and a side is 1.8ft
Answers
since each side is 1.8 long, all 10 sides will be 10*1.8 or 18 units long, so that'd be the perimeter then,
[tex]\bf \textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ap~~ \begin{cases} a=apothem\\ p=perimeter\\ ------\\ a=2.8\\ p=18 \end{cases}\implies A=\cfrac{1}{2}(2.8)(18)[/tex]
PLEASE HELP ME OUT ASAP! I WOULD REALLY APPRECIATE IT AND GOD BLESS
Answers
z=(x-μ)/σ
where:
μ-mean
σ-standard deviation
x=27, μ=32, σ=4
z=(27-32)/4
z=-5/4
z=-1.25
thus
P(x<27)=P(z<-1.25)
=0.1056
=10.56%
Answer: 10.56%
Where does the graph of the function y=tan(x)
have asymptotes?
Answers
The graph of the function y=tan(x) has vertical asymptotes at odd multiples of pi/2 and periodic asymptotes at even multiples of pi.
The graph of the function y=tan(x) has asymptotes at x-values where the tangent function is undefined. The tangent function is undefined at x-values that are odd multiples of pi/2, such as -pi/2, pi/2, -3pi/2, etc. These x-values are called vertical asymptotes. The graph also has periodic asymptotes at x-values that are even multiples of pi, such as 0, pi, -pi, 2pi, etc. These x-values are called horizontal asymptotes.
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Devon wants to know if drinking milk before bed helps teenagers sleep. he chooses 10 friends on his high school basketball team for his study. every night for one month the friends drink a glass of milk before bed and later record how many hours they sleep that night. Describe three reasons why Devon's study design is flawed.
Answers
Answer:
The three reasons Devon's study is flawed because:
1. The sample size is very small. You cannot conclude anything based on small samples.
2. Sample is biased as Devon chose basket ball players and such players have proper sleep pattern and waking up pattern as compared to normal people. So, the study cannot be generalized.
3. Devon must have studied their sleep pattern before experimenting also, so that some quantitative data on change is available for conclusion.
Your principal surprises you by buying your class a turtle. He brings the turtle to your class along with a sheet from the pet store titled "Turtle Tank Rule."
*Tank walls must be at least 1 foot tall so the turtle can't climb out.
*There must be at least 400 square inches of floor space for the turtle to walk around on.
Your teacher says the volume of the tank must be smaller than 5000 cubic inches so it doesn't take up too much room in the classroom.
Give the dimensions of a tank that would work for your new turtle. Use words and numbers to explain how your tank satisfies the "Turtle Tank Rules" and your teacher requirements.
Volume of a rectangular prism= length X width X height
Answers
We can set the height at exactly 1 ft (or 12 inches). Then we can select length and width that multiply to 400 square inches, for example, L = 40 inches and W = 10 in. This gives us a tank of dimensions 40 x 10 x 12 = 4800 cubic inches, which fits all the criteria.
To satisfy the 'Turtle Tank Rules' and your teacher's requirements, the tank dimensions must meet certain criteria. You can use the formula for the volume of a rectangular prism to find the dimensions.
Explanation:To satisfy the 'Turtle Tank Rules' and your teacher's requirements, the tank dimensions must meet the following criteria:
The tank walls must be at least 1 foot tall.The tank floor must have a minimum of 400 square inches of space.The volume of the tank must be smaller than 5000 cubic inches.Let's assume the tank has length, width, and height as its dimensions. By using the formula for the volume of a rectangular prism (Volume = length * width * height), we can manipulate it to find the dimensions:
Choose a reasonable value for the height (for example, 6 inches).Calculate the area of the tank floor by dividing 400 square inches by the chosen height.Find the length and width that multiply to give this area while satisfying the volume requirement of less than 5000 cubic inches.Find the critical value za/2 that corresponds to a 82% confidence level.
Answers
Step 1: α% = 100%-82% = 18%
Step 2: α = 18% = 0.18
Step 3: α/2 = 0.18/2 = 0.09
Step 4: 1- α/2 = 1-0.09 = 0.91
Step 5: Critical value of Z at 82%confidence level = Z at 0.91 (from Z tables) ≈ 1.34
The critical value (or z-score) that corresponds to a 82% confidence level is approximately ±1.34, which is determined using a standard normal distribution table related to the value calculated from α/2 = 0.09.
Explanation:To find the critical value za/2 that corresponds to a 82% confidence level, we start by knowing that confidence level (CL) is the area in the middle of the standard normal distribution. We know that CL = 1 - α, hence for this particular question, α = 1 - 0.82 = 0.18, and α/2 = 0.09. The Z score associated with α/2 = 0.09 in the standard normal distribution table, which represents the critical value za/2, is approximately ±1.34.
So for an 82% confidence level, the critical value za/2 is roughly ±1.34.
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The Volume of the cone shown is 6 cubic inches. What is the height of a cone with the same base diameter but a volume of only 3 cubic inches?
Answers
[volume of the cone]=(1/3)*area of the base*height
h-----> height
AB-----> area of the base
so
[volume of the original cone]=(1/3)*AB*h
volume=6 in³
(1/3)*AB*h=6--------> h=18/AB
For a cone with the same base diameter but a volume of only 3 cubic inches
(1/3)*AB*h=3 in³-------> h=9*AB
the answer is
The new cone height is half the original height
Answer:
3 cubic inches
Step-by-step explanation:
Using the formula, volume of the cone.
Subst. the known value of into the equation.
Thus, the volume of cone= 1(3)= 3 cubic inches.
Credit card A offers an APR of 27.29%, compounded monthly, while credit card B offers an APR of 27.12%, compounded daily. All else being equal, which card offers the better deal for the consumer?
Answers
The effective interest rate, also known as the effective annual interest rate, annual equivalent rate, or simply effective rate. The card which offers a better deal to the customer is Credit card A.
What is an effective rate of interest?
The effective interest rate, also known as the effective annual interest rate, annual equivalent rate, or simply effective rate, is the interest rate on a loan or financial product that is restated from the nominal interest rate and expressed as the equivalent interest rate if compound interest was payable annually in arrears. It is calculated by the formula,
EIR = [1+(i/n)]ⁿ - 1
The effective rate of interest on Credit Card A is,
Effective rate = [1+(i/n)]ⁿ - 1 = [1+(0.2729/12)]¹² - 1 = 30.97%
The effective rate of interest on Credit Card B is,
Effective rate = [1+(i/n)]ⁿ - 1 = [1+(0.2712/365)]³⁶⁵ - 1 = 31.14%
Since the effective rate of Credit card A is less than credit card B, therefore, the card which offers a better deal to the customer is Credit card A.
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Given the following table, determine the missing value. Growth Factor 1.13 ? 1.28 1.97 Percent 13% 256% 28% 97%
a.
256
c.
3.56
b.
2.56
d.
35.6
Answers
256% = 2.56
2.56 + 1 = 3.56
The appropriate choice is ...
c. 3.56
Answer:
missing value in the table is 3.56
Step-by-step explanation:
Percent 13% 256% 28% 97%
Growth Factor 1.13 ? 1.28 1.97
To find growth factor first we remove the percentage and then we add 1
we are given with 246 %
to remove percentage we divide by 100
[tex]\frac{256}{100} = 2.56[/tex]
To get growth factor we add 1
1+2.56= 3.56
so growth factor is 3.56
missing value in the table is 3.56
What is the solution to the expression –2 – 3 – (–4)?
Answers
so then -5 - (-4) gives you -1 and tha'ts your answer
_________________________________________________________
Note:
_________________________________________________________
We are given the expresssion:
_________________________________________________________
→ " - 2 − 3 − (−4) " ; & are asked to find the solution to this expression;
→ so we simplify this given expression:
_________________________________________________________
We are only dealing with "subtraction" ; so we go from "left to right", in the order in which they occur; starting with the left.
{Note that the "parentheses" given in this particular problem does not reflect an operation that we are to perform; so we go with the substraction.}.
→ " - 2 − 3 = - 5 " ;
Then:
→ " - 5 − (- 4) = ? " ; ← which is our answer to be solved.
_______________________________________________________
Note:
_______________________________________________________
→ " - 5 − (- 4) = - 5 + 4 " ;
→ {since a "negative minus a negative is a postive" }.
→ {that is; "subtracting a negative" is "adding a positive" .}.
_______________________________________________________
And we have:
_______________________________________________________
→ " - 5 + 4 = - 1 " .
_______________________________________________________
The answer is: " -1 " .
_______________________________________________________
pls help soon:)
James threw a flying disc from a height of 4 feet above the ground. The disc travels a horizontal distance of 30 feet before falling to the ground. The height of the disc, in feet, at a distance of t feet from James, is modeled on the graph below.
FILL IN BLANK
The domain represents the A. horizontal distance covered by B. maximum height of C. possible heights of the flying disc. The range of this function is [A. 1 B. 0 C. 2, A. 7 B. 6 C. 5 ]. For this function, the range represents the flying disc's A. possible heights B. maximum heights C. horizontal distance covered
Answers
The range of this function is B. 0, A. 7. The range is defined by the minimum y-value (y = 0, at x = 30), and the maximum y-value (y = 7, at x = 12).
For this function, the range represents the flying disc's A. possible heights. This is the height as mentioned in the given, as it is the height of the disc being modelled on the graph as the disc travels horizontally.
hey can you please help me posted picture of question
Answers
Comparaing the given graph with the graph of x⁴, we can say the given graph can be obtained by shifting x⁴ by 2 units to the right.
A shift in right direction can be obtained by subtracting a number from the x. The shift is 2 units, so the above graph can be obtained by following expression:
F(x) = (x-2)⁴
Thus, option D is the correct answer
Suppose that h> 0:
To graph y = f (x-h), move the graph of h units to the right.
We have then that the original function is:
G (x) = x ^ 4
The new function is:
F (x) = (x-2) ^ 4
Answer:
F (x) = (x-2) ^ 4
option D
Which expression is equivalent to -6(3x-2/3)?
A) -2x + 9
B) -3x - 6 2/3
C) -18x + 12
D) -18x + 4
Answers
-6(3x - 2/3)
Distribute the -6
-18x + 4
The answer is D) -18x + 4
Hope this helps!
Answer:
D hope this helps have a wonderful safe day
Step-by-step explanation:
Every 6 months Reuben lopez puts 420$ into an account paying 10% compounded semiannually. Find the account balance after 15 years.
Answers
Fv=27,904.32
The above question is related to the future value of an amount saved at regular intervals.
We need to find the future value of the $ 420 saved every six month which are compounded semi-annually.
When the compounding is semi-annually, the same is divided by 2 and the time is multiplied by 2.
The future value will be calculated as -
Future value = $ 420 × FVIFA for 30 years @ 5 %
Here, the annual rate was 10 % but since compounding is semi-annually, thus it is divided by 2. Similarly, time is multiplied by 2 i.e 15 years X 2 = 30 periods
Referring the FVIFA table, we got -
FVIFA for 30 years @ 5 % = 66.4388
Future value = $ 420 × 66.4388 = $ 27,904.30
Which expression is equivalent to 24 - (-6), minus, left parenthesis, minus, 6, right parenthesis?
Answers
24 - (-6)
Rewriting we have:
= 24 + 6
= 30
Answer:
An expression that is equivalent to 24 - (-6), minus, left parenthesis, minus, 6, right parenthesis is:
30
or equivalently:
24 + 6
I need help on this question