Answers
Answer:
[tex]10.02[/tex] units
Step-by-step explanation:
[tex]FH = \frac{82}{360} \times 2 \pi r[/tex] (Multiplying the circumference of the circle by the arc's degree over the total degree of the circle will find the length of the arc [tex]FH[/tex])
[tex]FH = \frac{82}{360}\times 2 \pi (7)[/tex]
[tex]=\frac{82}{360}\times14\pi[/tex]
[tex]=\frac{287\pi}{90}[/tex]
[tex]=10.02[/tex] (to the nearest hundredth)
∴ The length of the arc [tex]FH[/tex] is 10.02 units to the nearest hundredth.
Hope this helps :)
Related Questions
You have $125 in a savings account and you deposit an equal amount into your account each week. After 5 weeks the account holds $170. Write an equation that represents the amount y (in dollars) of money in the account after x weeks.
Answers
Answer: 10x=y
Step-by-step explanation:
So if you subtract 170-125 you get 50. If you divide 50 by the 5 weeks you geat 10. So there is ten dollars a week going into the bank account.
Hugo earns $2.00 for setting the table and $2.00 for washing the dishes. Let t be the number of times Hugo sets the table and let d be the number of times Hugo washes the dishes. Select all the expressions that could represent the total earned, E, in dollars, by Hugo *
2 points
A) E = 2(t + d)
B) E = 2t + 2d
C) E = 2t + d
D) E = 2 + td
Answers
B) E = 2t + 2d
Explanation:
t and d are being multiplied by 2 for the amount of work done by each.
Right 2 units and down 7 units
Answers
Answer:
-3.5
Step-by-step explanation:
Rise over run
in the coordinate plane, triangle ABC has vertices A(1,-2), B(1,0.5), and C(2,1) and triangle DEF has vertices D(4,-3), E(4,2), and F(6,3). The triangles are similar because DEF is the image of ABC under a dilation with center (_,_) and scale factor ___.
PLEASE HELPP
Answers
Answer:
(A) the center of dilation is at (-2,-1)
(E) the scale factor is 2
The triangle DEF is a dilation of triangle ABC with center of dilation at (0,0) and scale factor of 0.5.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
The ratio of the lengths of corresponding sides of triangles ABC and DEF.
AB and DE are corresponding sides, so:
AB/DE = (distance between A and B) / (distance between D and E)
= 2.5 / 5
= 0.5
BC and EF are corresponding sides, so:
BC/EF = (distance between B and C) / (distance between E and F)
=1.118 / 2.236
= 0.5
AC and DF are corresponding sides, so:
AC/DF = (distance between A and C) / (distance between D and F)
AC/DF = 2.236 / 4.472
= 0.5
We see that all three ratios are equal to 0.5.
Hence, the triangle DEF is a dilation of triangle ABC with center of dilation at (0,0) and scale factor of 0.5.
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Factor using grouping: x³+ 3x² + 5x = 15
Answers
1. Move all terms to one side of the equation, usually the left, using addition or subtraction.
2. Factor the equation completely.
3. Set each factor equal to zero, and solve.
4. List each solution from Step 3 as a solution to the original equation.
Question 2 (5 points)
(01.01 LC)
Which rational number equals 0 point 1 with bar over 1? (5 points)
Question 2 options:
1)
1 over 11
2)
1 over 10
3)
1 over 9
4)
1 over 8
Answers
Answer:
3. 1 over 9 is the correct answer
Answer:
option 3 is correct.
hope it helps
Mr. Burnett, the school librarian, is ordering new keyboards and mice for all of the school's
computer labs. Each keyboard costs $13.50, and each mouse costs $6.50. There are 3
computer labs in the school, and each computer lab has s computer stations.
Pick all the expressions that represent how much Mr. Burnett will spend on new keyboards
and mice.
3(13.50s + 6.50s)
20.00s + 3
(13.50s + 3) + (6.50s + 3)
3(20.00)
Answers
Answer:
so 3 X 13.50 + 6.50) so add first because of this order of operations (pemdas), parenthesis, exponent, multiply, divide, add, subtract
Step-by-step explanation:
Marc deposits $1,500 into two savings accounts.
Account 1 earns 4% annual simple interest.
• Account 2 earns 4% interest compounded annually.
Marc does not make any additional deposits or withdrawals. What is the sum of the
balances of Account 1 and 2 at the end of 3 years?
Answers
Answer:3,360.0
Step-by-step explanation:
solve y (1/2)y+6=(3/4)y–4
Answers
Answer:
Y = 40
Step-by-step explanation:
Change 1/2 to 2/4
2/4 y + 6 = 3/4y - 4
subtract 2/4y
6 = 1/4y -4
add 4
10 = 1/4y
multiply by 4 to get fraction to 1y or y
y = 40
I GOT IT RIGHT ON MY QUIZ
2x – 3y = -5
y = 2 + x
The value of y in the system of equations is:
y = -1.
y = -3.
y = 1.
y = 3
Answers
Answer:
y = 3
Step-by-step explanation:
2x-3y = -5 --------- (1)
y = 2+x ------- (2)
substitute (2) into (1)
2x-3y = -5
2x-3( 2+x ) = -5
2x-6-x = -5
2x-x = -5+6
x = 1
substitute x = 1 into (2)
y = 2+x
y = 2+1
y = 3
Consider the following statements:
I. Multicollinearity is present when there is a high degree of linear correlation between the predictors.
II. A regression analysis between weight (y in pounds) and height (x in inches) resulted in the following least squares line: y-hat = 135 + 6x + errors. This implies that if the height is zero, the weight is 135 pounds in this linear model.
a. I is true and II is false.
b. I is false and II is true.
c. Both I and II are true.
d. Both I and II are false.
e. More information is needed for each statement in order to tell which is true or false.
Answers
Answer:
d. Both I and II are false
Step-by-step explanation:
When there is a high degree of linear correlation between the predictors the errors are found.
The basic objective of the regression model is to separate the dependent and independent variables. So if the variables have high degree of linear correlation then the multi collinearity causes problems or has errors. It is not necessary that multi collinearity must be present with high degree of linear correlation.
For example we have 3 variable of heat length and time. And all of them have a high degree of correlation. With increase in heat and time the length increases . But for multi collinearity with the increase of time and decrease of heat length does not increase. So this causes errors.
y-hat = 135 + 6x + errors
The linear relationship between height and weight is inexact. The deterministic relation in such cases is then modified to allow the inexact relationship between variables and a non deterministic or probabilistic model is obtained which has error which are unknown random errors.
y- hat= a + bXi + ei (i=1,2,3...)
ei are the unknown random errors.
So both statements are false.
4t + 2u
w;t= 2 and u= 1
Answers
15
Step-by-step explanation:
4t + 2u²- u³
4×2=8
2×1=2²=8
1³=1
8+8-1
16-1=15
Please give me the correct answer
Answers
1
For every 2 teaspoons of white vinegar in a jar of homemade glue, there are 5 tablespoons of
cornstarch. How many teaspoons of white vinegar are there for every tablespoon of cornstarch?
A. 1
5
В.
C 1
D. 5
Answers
The number of teaspoons of white vinegar are there for every tablespoon of cornstarch is 0.4.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, for every 2 teaspoons of white vinegar in a jar of homemade glue, there are 5 tablespoons of cornstarch.
The number of teaspoons of white vinegar are there for every tablespoon of cornstarch = 2/5
= 0.4
Therefore, the number of teaspoons of white vinegar are there for every tablespoon of cornstarch is 0.4.
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does anyone know the answer ?
Answers
Answer:
i think its inches per foot b/c it says what where the final units for this conversion i hope this is helpful.
Step-by-step explanation:
Answer this question correctly and I will give you brainlyist, 5.0 rating, and thanks. The question that you need to answer is in the screenshots below.
Answers
Answer:
so it should be D because after you check them all D is the only one that the watch would actually cost $50- sorry for the confusing ecplanation but im like 99.99999% sure its right
Step-by-step explanation:
The table represents a function.
Answers
Answer:
4
Step-by-step explanation:
.........................
HELP ME PLEASE WITH GIVE YOU BRANLEST 20 POINTS
Answers
Answer:
A: 1min 12sec B: 1 lap C: 25min and 12 sec
Step-by-step explanation:
A: 5/6 = 1/x (ratio of the laps and time)=1 min 12sec
B: 1 lap
C: 25 minutes and 12sec
Tommy is using a bucket to collect nuts from a nut tree. He then dumps the bucket into a barrel for shipping of the nuts. He notices that 1 over 4 bucket of nuts fills 2 over 3 of the barrel.
Part A: Write and solve an equation to find the amount of nuts that will fill the entire barrel. Show your work. (8 points)
Part B: Explain your answer in words. (2 points)
Your answer:
Answers
Answer: you need 3/8 buckets of nuts to fill the barrel.
Step-by-step explanation:
I will find the equation and explain it with words at the same time, so it is easier to understand.
We know that:
1/4 buckets of nuts, fills 2/3 of the barrel.
Then we can write the equation:
(1/4) buckets of nuts = (2/3) of the barrel
We want to have a one in the right, which will mean that the barrel is complete, then we can multiply both sides by 3/2
(3/2)*(1/4) buckets of nuts = (3/2)*(2/3) of the barrel.
3/8 buckets of nuts = 1 of the barrel.
This means that you need 3/8 buckets of nuts to fill the barrel.
5/12<__<3/4 what answer goes in the blank
Answers
Answer:
We have:
5/12<__<3/4
To complete the blank, we need to find a number that is larger than 5/12, but smaller than 3/4.
This is ratter easy, the first step would be to write both limits with the same denominator.
we can rewrite the upper one as:
3/4 = (3/3)*(3/4) = 9/12
Where we multiplied the numerator and denominator by the same number, 3.
Now we have:
5/12 < < 9/12
Then in the blank, we could input any number like:
5/12 + 1/12 = 6/12
6/12 is larger than 5/12, but smaller than 9/12
We also could use 7/12, or 8/12.
And those are the ones easy to find, actually, there are infinite numbers that can fill the blank.
Then to complete the answer we will write:
5/12 > 6/12 > 9/12
A recipe for 45 biscuits uses
5
2
cups of flour. How many biscuits are made from each cup of flour?
Answers
Answer:
18
Step-by-step explanation:
Please give brainliest!
Answer:
18
Step-by-step explanation:
a veternarian treated 7 dogs 13 cats 4 horses and three ferrert what was the percentage of his paitents were small animals
Answers
Answer:
As per your defention, horses are the only thing considered "not small". To find the percentage, you take the number of what you are trying to find the percentage of divided by the total number.
So, 7 dogs + 13 cats + 3 ferrets = 23 Small animals
7 dogs + 13 cats + 3 ferrets + 4 horses = 27 total animals.
So,
23/27 * 100
The reason we multiply by 100 is because the division gives us a decimal, and a percentage is a part out of 100.
So by doing the calculation we get
85.18%
Step-by-step explanation:
In a class of 12 boys and 8 girls, two students need to be chosen for classroom jobs.
What is the probability that Mary gets selected?
Answers
Answer:
55 percent chance or 11/20 or 0.55
Step-by-step explanation
Work out the value of x+y multiplied by z if x=3/5 ....
Answers
Answer:
1.056
Step-by-step explanation:
Because 2 4/5+ 3/5= 3 1/5
3 1/5 as a decimal is, 3.2
3.2× .33= 1.056
What is the answer and plz give me step by step explaining
Answers
Explanation:
You start with 6 + 8(x - 1) = 2(3x + 4)
Wow. That looks like a lot, so you need to take it one step at a time. Because of PEMDAS (Please Excuse My Dear Aunt Sally), which gives us the order of Parentheses (), Exponents(Baby Numbers), Multiply or Divide from left to right according to where it is in the problem, and Add or Subtract from left to right according to where it is in the problem, you need to look at your parentheses first. Let’s start with
8(x - 1). 8 is touching those parentheses all by itself, so it’s being multiplied with the stuff in the parentheses. 8 times x is 8x and 8 times 1 is 8. That gives you
6 + 8x - 8 = 2(3x + 4)
Do the same thing with 2(3x + 4). 2 is touching those parentheses all by itself so you multiply it by the stuff inside to get 6x + 8. You now have
6 + 8x - 8 = 6x + 8
But where do we go from here? Okay well what you’re trying to do is get a single x by itself on one side of the equals and the answer on the other side. So, we have
6 + 8x - 8 = 6x + 8
Let’s start on the left side with 6 + and - 8. If you have 6 and you take 8 away, you can’t because you’ll still need 2, so 6 - 8 = -2. That leaves you with
8x - 2 = 6x + 8
Then, you take the 6x from the right side and add it to the 8x on the left. You have 14x. This gives you
14x - 2 = 8
Look at -2. We want to get rid of that, so we would do the opposite of - which is + so we would add.
14x - 2 = 8
+ 2 + 2
——————
14x = 10
Now look at 14x, which is the same as 14 times x. The opposite of multiplying is dividing so divide.
14x = 10
/14 /14
X = 10/14 which simplifies into 5/7
Nick earns 3.5%
commission on every
car he sells. How much
would he earn if he sold
a $14.000 car?
Answers
The amount he would earn is $490.
What does multiplication mean?
Multiplication is the process of determining the product of a number. It is determined by following some mathematical processes. The sign used to represent multiplication is ×.
How much will he earn?Commission = 3.5% x $14,000
0.035 x $14,000 = $490
To learn more about multiplication, please check: https://brainly.com/question/13814687
Can two fraction with the same numerator and different denominators be equal? Use words and numbers to explain.
Answers
Step-by-step explanation:
Since equivalent fractions do not always have the same numerator and denominator, one way to determine if two fractions are equivalent is to find a common denominator and rewrite each fraction with that denominator. Once the two fractions have the same denominator, you can check to see if the numerators are equal.
The two fractions with the same numerator and different denominators can not be equal.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
A division number is a number that addresses the piece of the entire, where the entire can be any number. It is a numerator and a denominator.
The fraction is in the form of a numerator and denominator. The two fractions can be equal if and only if their numerator and denominator are equal.
The two divisions with similar numerators and various denominators can not be equivalent.
More about the Algebra link is given below.
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Graph the direct variation that includes the point (5,4). write the equation of the line.
How do I solve this?
Answers
Answer:u have to be missing something
Step-by-step explanation:
Answer:
does the question have a graph or is it just the word problem?
here is the answer if its just the word problem
Step-by-step explanation:
y= -5x+4
hope I helped :)
Are the following equations parallel, perpendicular, or neither? y= 3x - 1 and y =
-1/3x + 10 *
Parallel
Perpendicular
Neither
Answers
Answer:
Perpendicular
Step-by-step explanation:
Which lengths represent the sides of a right triangle?
A)
7, 24, 25
B)
8, 12, 16
C)
8, 24, 25
D)
9, 12, 13
Answers
Answer:
A
Step-by-step explanation:
Using Pythagorean theorem (a^2+b^2=c^2) you just plug them in. The hypotenuse is always the longest side so that would be 25. Then it doesn’t matter which side is a or b. 7^2+24^2=625
Then do the square root of 625.