Answers
Alright, so a circle is 360 degrees. We know there's an arc of 90 and an angle extending from the radius being 125.
Since the given angle extending from the radius is at the radius, there will also be a 125 degree arc at the circumference of the circle there.
With this, do:
360-90-125 = 145
to get the amount of arc in the unknown area.
Still though, we need to find the x value, so get the unknown value and set it equal to 145.
16x + 1 = 145
16x + 1-1 = 145-1
16x=145
x = 9.0625 or 9 1/16
Hope that helps.
Related Questions
What are the coordinates of the image of ABC after a dilation with center (0, 0) and a scale factor of 1/2 ? Drag numbers to complete the coordinates. Numbers may be used once, more than once, or not at all.
Use numbers 1,2,3,4,5,6
Please help I will give 60 points.
Answers
Answer
:A(2,2) _scale factor ½--A'(1,1)
B(4,6)_scale factor ½--B'(2,3)
C(6,2)_scale factor ½--C'(3,1)
is a required coordinate
The deterioration of many municipal pipeline networks across the country is a growing concern. One technology proposed for pipeline rehabilitation uses a flexible liner threaded through existing pipe.
The article "Effect of Welding on a High-Density Polyethylene Liner" (J. of Materials in Civil Engr., 1996: 94-100) reported the following data on tensile strength (psi) of liner specimens when a certain fusion process was used and when this process was not used.
No Fusion :: 2748 2700 2655 2822 2511 3149 3257 3213 3220 2753
Yes Fusion :: 3027 3356 3359 3297 3125 2910 2889 2902
Compare the mean tensile strengths at the 95% confidence level ...
Perform a COMPLETE APPROPRIATE analysis.
Answer the question of interest, check assumptions, etc.
Answers
Answer:
The calculated value of t= -0.21 does not lie in the critical region t= ± 2.120 Therefore we accept our null hypothesis that there's no difference between strength (psi) of liner specimens when a certain fusion process was used and when this process was not used at the 0.05 significance level
Step-by-step explanation:
The given data is
No Fusion :: 2748 2700 2655 2822 2511 3149 3257 3213 3220 2753
Yes Fusion :: 3027 3356 3359 3297 3125 2910 2889 2902
The calculated Means are
x1`= 2902.8
X2`= 3108.125
The standard deviations are
s1= 277.265
s2= 205.87
We are using Student's t- test
We formulate null and alternate hypotheses are
H0 : u1 - u2= 0 against Ha: u1 - u 2≠0
The Significance level alpha is chosen to be ∝ = 0.05
The critical region t ≥ t (0.025, 16) = ± 2.120
Degrees of freedom is calculated df = υ= n1+n2- 2= 10+8-2= 16
Here the difference between the sample means is x`1- x`2
=2902.8-3108.125
= -205.325
The pooled estimate for the common variance σ² is
Sp² = (n1-1) s1² + (n2-1) s2²/ n1+n2-2
= 9( 277.265)² + 7(3108.125)²/ 16
Sp² = 691,882.922+67,623,087.109/16
Sp= 2066.321
The test statistic is
t = (x`1- x` ) /. Sp √1/n1 + 1/n2
t= -205.325/ 2066.321 √1/10+ 1/8
t= -205.325/980.142
t= -0.2095= -0.21
Conclusion
The calculated value of t= -0.21 does not lie in the critical region t= ± 2.120 Therefore we accept our null hypothesis that there's no difference between strength (psi) of liner specimens when a certain fusion process was used and when this process was not used at the 0.05 significance level
Kelly goes to Six Flags with her friends. She pays $10.50 for an admission ticket and $1.25 for each ride. The total amount Kelly pays for admission and the
number of rides she rode is $29.25. Write an equation that could be used to determine
the number of rides, x, that Kelly rode?'
Answers
10.5 + 1.25x = 29.25
I SHALL GIVE BRAINLIEST IF YOU HELP
Answers
Answer:
B
Step-by-step explanation:
surface area is finding the area of each portion of the net and adding them all up together. all the triangles are congruent, so we can start by finding the area of one of them and multiplying that area by 4 (since there are 4 triangles in this net). the formula for the area of a triangle is 1/2 bh. this is (1/2)(5.95)(5.1) which equals approximately 15.17. 4 multiplied by this is 60.68. the area of the square is length multiplied by width, which is 26.01. 60.68+26.01=86.69, which is the closest to answer choice B.
Answer:
i know this is not the option but i did the maths and the correct answer
the answer is 96.815 you dont have to give me brainliest tho since it was not an option but i got 96.815 anyways
Step-by-step explanation
1. 5.95*5.95= 35.4025
2. but since it is a triangle it should be devided by 2 which is 17.70125
3. since there are 4 triangles you have to multiply it by 4 which is 70.805
4. 5.1*5.1=26.01
5. 26.01+70.805= 96.815
a kid sits on top of a 12 foot slide, looking down with an angle of depression of 25 degrees. find the height of the slide
Answers
Answer:
Height of slide = 5 feet (Approx.)
Step-by-step explanation:
Given:
Length of slide = 12 feet
Angle of depression = 25°
Find:
Height of slide
Computation:
Length of slide = Hypotenuse
Height of slide = Perpendicular
Using trigonometry function;
Sin θ = Perpendicular / Hypotenuse
Sin 25 = Height of slide / 12
0.422 = Height of slide / 12
Height of slide = 12 x 0.422
Height of slide = 5.064
Height of slide = 5 feet (Approx.)
Solve the following system of equations using the elimination method.
5x + y = 9
Answers
Answer:
x= -1/5y+9/5
Step-by-step explanation:
5x+y=9
Step 1
First you need to add -y to both sides, basically subtracting y
5x+y-y= 9-y
Step 2
Divide both sides by 5, or multiply by 1/5. You want to do this because to cancel out 5, so you multiply the reciprocal, or divide the constant.
1/5*5x=-y+9/5
Then, you will get the answer
Hope this helps, sorry if it is wrong, I am just 4th grade :(
But I am sure this is correct :)
pls help me
Which of the following is not a solid figure?
A.cube
B.cylinder
C.prism
D.rectangle
Answers
Answer:
c.prism is not solid figure
Answer:
rectangle
Step-by-step explanation:
rectangle isn't a solid figure
Hey I need some help with this
Answers
Answer:
with what plz explain the question
Mrs. Russo takes 3 minutes less than Mr. Lloyd to pack a shipping box when each works alone. One day, after Mrs. Russo had spent 6 minutes packing, her boss called her away for a meeting. Mr. Lloyd finished packing that same box in 4 minutes. How many minutes would it take each employee to pack the shipping box alone?
Answers
Answer:
Mr. Russo takes three minutes less than Mr. Lloyd to pack a case when each works alone.
One day, after Mr. Russo had spent six minutes in packing the case, the boss called him away, and Mr. Lloyd finished packing the case in four more minutes.
How many minutes would it take Mr. Russo alone to pack the case?
:
Let t = time required by Russo alone
then
(t+3) = time required by Lloyd alone
:
Let completed job = 1; (a packed case)
:
Russo + Lloyd = completed job
6%2Ft + 4%2F%28%28t%2B3%29%29 = 1
:
Multiply by t(t+3)
t(t+3)*6%2Ft + t(t+3)*4%2F%28%28t%2B3%29%29 = 1t(t+3)
:
Cancel the denominators, and you have:
6(t+3) + 4t = t^2 + 3t
6t + 18 + 4t = t^2 + 3t
10t + 18 = t^2 + 3t
:
Arrange as a quadratic equation on the right:
0 = t^2 + 3t - 10t - 18
t^2 - 7t - 18 = 0
Factors to
(t-9)(t+2) = 0
:
The positive solution is what we want here:
t = 9 minutes, time required by Russo alone
:
:
Check solution in original shared work equation (Lloyd requires 12 min)
The length of life of oil-drilling bits depends upon the types of rock and soil that the drill encounters, but it is estimated that the mean length of life is 55 hours. An oil exploration company purchases drill bits that have a length of life that is approximately normally distributed with mean equal to 55 hours and standard deviation equal to 9.1 hours.
What proportion of the company’s drill bits will have to be replaced after more than 90 hours of use?
Answers
Answer:
"0.9999" is the correct solution.
Step-by-step explanation:
The given values in the question are:
Mean,
= 55
Standard deviation,
= 9.1
Now,
⇒ [tex]z=\frac{X-mean}{sd}[/tex]
By putting the values, we get
⇒ [tex]=\frac{90-55}{9.1}[/tex]
⇒ [tex]=\frac{35}{9.1}[/tex]
⇒ [tex]=3.8461[/tex]
hence,
[tex]P(X<90)[/tex]
= [tex]P(Z<3.8461)[/tex]
= [tex]NORMSDIST(3.8461)[/tex]
then the value will be:
= [tex]0.9999[/tex]
Jamal needs several feet of wood for a birdhouse
project. He already has 12 yards. How many feet are
in 12 yards?
Answers
Answer:
36
Step-by-step explanation:
multiple by the length value by 3
I have attached the picture of the question on this topic.
Answers
Given:
The expression is:
[tex]\dfrac{-10v^5x+6v^5x^4}{2v^3x^2}[/tex]
To find:
The simplified form of the given expression.
Solution:
We have,
[tex]\dfrac{-10v^5x+6v^5x^4}{2v^3x^2}[/tex]
It can be written as:
[tex]=\dfrac{-10v^5x}{2v^3x^2}+\dfrac{6v^5x^4}{2v^3x^2}[/tex]
Cancel out the common factors.
[tex]=\dfrac{-5v^2}{x}+3v^2x^2[/tex]
Therefore, the simplified form of the given expression is [tex]\dfrac{-5v^2}{x}+3v^2x^2[/tex].
What is X + 9 < 5 =
Answers
Answer:
x<-4
Step-by-step explanation:
x+9<5
-9 -9
x<-4
1. subtract the 9 on both sides to have x alone
hi could someone please tell me if this is correct?:)
Answers
7. The probability that a randomly chosen student will be left-handed is .09: a) In a class of 108, find the probability that there will be (exactly) 8 left-handed students. b) The classroom has 12 desks designed for people who are left-handed. Use an appropriate approximate method to find the probability that there are enough for all the left-handed students.
Answers
Solution :
Let x be student will be left handed
P = 0.09
Using the normal approximation to binomial distribution,
a). n = 108,
μ = np = 9.72
[tex]$\sigma = \sqrt{np(1-p)}$[/tex]
[tex]$=\sqrt{8.8452}$[/tex]
= 2.9741
Required probability,
P(x=8) = P(7.5 < x < 8.5)
[tex]$=P\left(\frac{7.5-9.72}{2.9741}< \frac{x-\mu}{\sigma}< \frac{8.5-9.72}{2.9741}\right)$[/tex]
[tex]$=P(-0.75 < z < -0.41)$[/tex]
Using z table,
= P(z<-0.41)-P(z<-0.75)
= 0.3409-0.2266
= 0.1143
b). P(x=12) = P(11.5 < x < 12.5)
[tex]$=P\left(\frac{11.5-9.72}{2.9741}< \frac{x-\mu}{\sigma}< \frac{12.5-9.72}{2.9741}\right)$[/tex]
[tex]$=P(0.60 < z < 0.94)$[/tex]
Using z table,
= P(z< 0.94)-P(z< 0.60)
= 0.8294 - 0.7257
= 0.1006
What is the slope of the following graph?
Answers
To find slope.. the M in the slope formula of y=Mx+b represents slope
So as long as you know what point on the graph represents what then it should be easy
In most cases.. finding slope is where the line meets on the x axis
one number is 8 times a first number. a third number is 100 more than the first number. if the sum of the three numbers is 480, find the numbers
Answers
Answer:
Step-by-step explanation:
Let the first number = x
Let the second number = 8x
Let the third number = x + 100
x + 8x + x + 100 = 480 Combine like terms
10x + 100 = 480 Subtract 100
- 100 -100
10x = 380 Divide by 10
x = 380/10
x = 38
First number = 38
Second number = 8*38 = 304
The third number = 38 + 100 = 138
Complete the congruence statement.
Answers
Answer:
∠K ≅ ∠N
Step-by-step explanation:
Since you are given ΔJKL ≅ ΔMNO, you can say the corresponding angles are congruent:
∠J ≅ ∠M
∠K ≅ ∠N
∠L ≅ ∠O
So, the answer is ∠N
Hey guys I need help but i need it Step by step it asks me if john has $3.05 and he pays $1.18 how much does he have left but i know he's left over with $1.87 but i need step by step problem
Answers
john has $3.05 he subtracts $1.18 and is left over with $1.87
first john subtracts the 8 from the five but he cant do that so he takes from the 3 and makes it a 2 he then moves over that ten that he had taken away from the 3 and places it at the 0. Now john needs to move over the 10 on the 0 to the 5 so he can subtract the 8 from the 5. John moves one ten from the nine that had replaced the 0 and gave it to the 5. that 5 is now a 15 because you've added ten to it. John now subtracts the 8 from the 15 to get 7 . next john subracts the 9 from the 1 in the tens place to get 8. Now john subracts the 1 from the 2 in the hundereds place to get a total sum of $1.87.
or
3.05
-1.18
---------
1.87
Which variable will you choose to eliminate? How? -3x -8y=-24 and
3x - 5y= 45
Answers
Answer:
Lets choose y
-8y=3x-24y=-3/8x+3Plug in
3x+15/8x-15=45 39/8x= 60 x=480/39Answer:
I'll choose 'x' variable first to eliminate because -
-3 (coefficient of 'x' in Eqn.1) & 3 (coefficient of 'x' in Eqn.2) are additive inverses of each other , so they can be easily eliminated by simply adding those equations. It can be also solved by using elimination method but you'll need to multiply -1 with either Eqn.1 or Eqn.2 because in elimination method , a variable can be eliminated only when their coefficients are numerically equal (along with their sign).Step-by-step explanation:
Eqn.1 → -3x - 8y = -24
Eqn.2 → 3x - 5y = 45
If we'll add both the equations , then '3x' would be getting cancelled first.
⇒ [tex](-3x - 8y) + (3x - 5y) = (-24) + (45)[/tex]
⇒ [tex]3x - 3x - 8y - 5y = 45 - 24[/tex]
⇒ [tex]-13y = 21[/tex]
⇒ [tex]y = \frac{-21}{13}[/tex]
Putting the value of y in eqn.2 ,
⇒ [tex]3x - 5(\frac{-21}{13}) = 45[/tex]
⇒ [tex]3x + \frac{105}{13} = 45[/tex]
⇒ [tex]3x = 45 - \frac{105}{13}[/tex]
⇒ [tex]3x = \frac{585 - 105}{13} = \frac{480}{13}[/tex]
⇒ [tex]x = \frac{480}{13 \times 3} = \frac{480}{39}[/tex]
Reducing the fraction gives ,
⇒ [tex]x = \frac{160}{13}[/tex]
A jogger is going around a circular track with a radius of 100 ft. Determine the
ANGULAR speed of the jogger given that they run a lap every 3 minutes, to the nearest tenth. (recall:theta must be in radians)
Answers
Answer:
ω= 0.01 rad/s
Step-by-step explanation:
The given data is question is ,
r = 100ft .t = 3 min = 180s.Firstly let's find the linear speed. Which is
=> v = Circumference/time
=> v = 2πr/180s
=> v = 3.14 × 100ft ./ 90
=> v = 3.48 ft/s ≈ 1m/s
Now the angular speed and linear speed are related as follows ,=> v = r[tex]\omega[/tex]
=> [tex]\omega[/tex] = v/r
=> [tex]\omega[/tex] = 1/100
=> [tex]\omega[/tex] = 0.01 rad/s
Hence the angular speed is 0.01 rad/s.Please i need help I will heart whoever answers. Thx
Answers
Answer:
c.25-c/4
Step-by-step explanation:
because all the other expressions are suggesting another equation they said Emma made 25 cookies and gave her mom c so that will be 25-c and then she divided it between her four friends so therefore 25-c,c=the amount she gave her mom,it is unknown so 25-c =the amount remaining after she gave her mom divided by 4
Explanation:
The first step is taking the Amount given to her mother away from the total. So subtracting 25-c. Then this need to be split amongst 4 friends or divided by 4. The last option is correct because it uses PEMDAS or the order of operations correctly.
Your IPod has 3 hours of battery remalning. If it has 15 hours when fully charged, what percent charged is it right now?
Answers
Answer:
60%
Step-by-step explanation:
5 hours - 100%
1 hour - 100/5 = 20%
3 hours - 20 x 3 = 60%
If 2 inches in the drawing represents 1 mile, which distance is closest to the length of
the actual bus route Sofia takes to get from her house to the shopping center?
A 24 mi
B 6 mi
C 5 mi
D 12 mi
Answers
wheres the picture
Step-by-step explanation:
Find the exact value of sin 240° in simplest form with a rational denominator.
Answers
Step-by-step explanation:
sin 240° = -½√3 = -0.866
_______
7−s/2>3 Solve for the inequality
PLZZZZ help I am struggling with khan academy
Answers
Answer:
Step-by-step explanation:
Let's solve your inequality step-by-step.
7 - s/2 > 3
Step 1: Simplify both sides of the inequality.
−1 /2 s + 7 > 3
Step 2: Subtract 7 from both sides.
−1 /2 s + 7 − 7 > 3 − 7
−1 /2 s > − 4
Step 3: Multiply both sides by 2/(-1).
( 2 /−1 ) * ( −1/ 2 s) > ( 2/ −1 )*(−4)
s<8
Answer:
s<8
Solve: 10(0.5x- 2) = -3x + 20 + 8x
Answers
Answer: no solution
Step-by-step explanation:
Answer:
10 × 0.5 x = 5x
10 × -2 = - 20
(5x-(-20)) = 5x + 20
-3x + 8x + 20 = 5x + 20
La suma de un numero mas 16 es igual a 31
Answers
La respuesta es 15
31 - 16 = 15
HELP ME PLEASEEEEEEEEEEEEEEEE
Answers
Answer:
90 mm^2
Step-by-step explanation:
Divide it in 2 figures
Get the area of the one of 5 * 6 mm = 30mm^2
Then the one of 6 * 10 mm = 60 mm^2
Then just add it up. 90 mm^2
If Archibald and Rasmus can paint the equivalent of 5/12 of a fence in an hour, how many minutes will it take for them to complete the job?
Answers
Answer:
144 minutes
Step-by-step explanation:
1 hr = 60 minutes
5/12 of a fence in 60 mimnnutes
(5/12)x = 60
Multiply both sides by 12/5
x = 60 * 12/5
x = 144
144 minutes
If Archibald and Rasmus can paint the equivalent of 5/12 of a fence in an hour, then 144 minutes will take them to complete the job.
What is an algebraic expression?An algebraic expression stands for the combination of variables, coefficient, constant, or all three in a mathematical form where both sides are set equivalent to each other.
Let x be the minutes.
1 hr = 60 minutes
5/12 of a fence in 60 minutes
(5/12)x = 60
Multiply both sides by 12, and we get
[tex]$12 \cdot \frac{5}{12} x=60 \cdot 12$[/tex]
Simplifying the above equation, we get
5x = 720
Divide both sides by 5
[tex]$\frac{5 x}{5} = \frac{720}{5}[/tex]
Simplify
x = 144
The value of x = 144.
Therefore, 144 minutes will take them to complete the job.
To learn more about algebraic expression refer to:
https://brainly.com/question/19864285
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