A circle has a radius of 6 inches and a central angle of 60°. What is the measure of the arc length associated with this angle?
Answer:
[tex]2\pi[/tex]
Step-by-step explanation:
first you take 60°/360°= 1/6 then you take 1/6 and multiple it by [tex]2\pi[/tex] and that equals [tex]\frac{\pi }{3}[/tex] finally take [tex]\frac{\pi }{3}[/tex] times the radius (6) and that should equal [tex]2\pi[/tex]
PLATO USERS #platolivesmatters
The measure of the arc length associated with the angle is 2π inches OR 6.28 inches
Calculating the length of an arcFrom the question, we are to determine the measure of the arc length
The measure of the arc length can be calculated by using the formula,
[tex]l = \frac{\theta}{360 ^\circ}\times 2\pi r[/tex]
Where [tex]l[/tex] is the length of the arc
θ is the central angle
r is the radius of the circle
From the given information,
r = 6 inches
θ = 60°
Putting the parameters into the formula, we get
[tex]l = \frac{60 ^\circ}{360 ^\circ}\times 2 \pi \times 6[/tex]
[tex]l = \frac{1}{6}\times 2 \pi \times 6[/tex]
[tex]l =2\pi[/tex] inches OR 6.28 inches
Hence, the measure of the arc length associated with the angle is 2π inches OR 6.28 inches
Learn more on Calculating the length of an arc here: https://brainly.com/question/12541510
Factor completely
486+108x+6x^2
Thank you!
Answer:
6(x + 9) (x + 9)
or
[tex]6 (x+9)^{2}[/tex]
Step-by-step explanation:
[tex]468 + 108x + 6x^{2} \\6x^{2} +108x + 468[/tex]
Greatest common factor of 6, 108, and 486:
6 x 1 = 6
6 x 18 = 108
6 x 81 = 486
GCF: 6
so:
[tex]6(x^{2} +18x +81)[/tex]
[tex]x^{2} +18x + 81[/tex]
factors to:
(x + 9) (x + 9)
because:
9 x 9 = 81
9 + 9 = 18
So:
It factors completely too:
6(x + 9) (x + 9)
or
[tex]6 (x+9)^{2}[/tex]
Cup G has a diameter of 4 in. and a height of 8 in. Find the volume of Cup G.
Answer:
32pi
Radius=1/2 Diameter
radius=2
Area of circle= pi*radius^2= 4pi
4pi*8=32 pi
Which of the following is true about the expression 7 + V3?
Answer:
is this a multiple-choice question?
Step-by-step explanation:
**i'll go back and change my answer, i promise**
w^2 + 2 + 48 divided by 2z. If w = 5 and z = 8 *
Replace w and z with the given values:
5^2 + 2 + 48 / 2(8)
Simplify:
75/16 = 4 and 11/16
Yoo wsg whats he units please tell meeee
Answer:
wsp, answer is 5,5 i'm pretty sure
Step-by-step explanation:
or its 0.5
Can someone help me please and show work thank you
Answer:
60% decrease
Step-by-step explanation:
To work out percentage change you takeaway the original number by the new number (New number-Original number) in this case 24-60=(-36), then divide the decreased amount by the original number and multiply the answer by 100 (Decrease amount ÷ Original number x 100) for this question you'd do (-36)÷60=(-0.6) then (-0.6)x100=(-60).
The minus shows its a decrease in percentage by 60%
(I hope this helps srry if it doesn't make sense)
Please help and will give brainliest
9514 1404 393
Answer:
12 m³
Step-by-step explanation:
The bottom platform has dimensions 2m × 4m × 3m, so a volume of ...
V = LWH
V = (2 m)(4 m)(3 m) = 24 m³
The top platform has dimensions 2m × 3m × 2m, so a volume of ...
V = (2 m)(3 m)(2 m) = 12 m³
The bottom platform has a larger volume by ...
24 m³ -12 m³ = 12 m³
The bottom prism has a 12 m³ larger volume.
Answer:
the answer is 12m squared
Previous data estimates the proportion of adults who are fully literate in Colombia to be 0.92. Suppose a random sample of adults from Columbia is to be taken and used to construct a 95% confidence interval for the proportion of adults who are fully literate. What is the MINIMUM sample size which should be used to construct this interval if the margin of error for the interval is to be 0.03 or less
Answer:
The minimum sample size which should be used is 315.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
Previous data estimates the proportion of adults who are fully literate in Colombia to be 0.92.
This means that [tex]\pi = 0.92[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
What is the MINIMUM sample size which should be used to construct this interval if the margin of error for the interval is to be 0.03 or less?
The minimum sample size that should be used is n for which M = 0.03. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.96\sqrt{\frac{0.92*0.08}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.96\sqrt{0.92*0.08}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.92*0.08}}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.92*0.08}}{0.03})^2[/tex]
[tex]n = 314.2[/tex]
Rounding up
The minimum sample size which should be used is 315.
Please Help, I will give a brainleist to the right answer.
the perimeter is 28 feet long. you would add 7 four times because all sides on the square are equal
A triangle has sides with lengths of 10 centimeters, 23 centimeters, and 26 centimeters. Is it
a right triangle?
Answer:
No, it is not a right triangle. It is an obtuse triangle.
Step-by-step explanation:
How to know a right traingle
A right triangle is a triangle in which one of the angles is a 90∘ angle. The "square" at the vertex of the angle indicates that it is 90 degrees. A triangle can be determined to be a right triangle if the side lengths are known. If the lengths satisfy the Pythagorean Theorem (a2+b2=c2) then it is a right triangle.
8th grade math, explain if you can please.
Answer:
I'm pretty sure that the answer is 1.76?
Step-by-step explanation:
The formula is this tho:
V=πr^2h
make a number line and show all values of that x that x < -1 and x > 1
Hey I’d be happy to help!
1st you have to draw your blank number line (make it a decent length
<———————————————————>
Then you have to label your 0 that will separate all positive and negative numbers you put
On the right side of 0 your going to have positive numbers (1,2,3,4,5,6)
And on the left side of zero, it’s gonna be negative numbers.
Then the tricky part:
Your going to make a line from -1 to 1 on your number line. Then because your greater then and less than signs do not have an “or equal to” line... your gonna put an open circle around -1 and 1 to show that x<-1 and X>1
Answer:
Here is the answer on a number line
Step-by-step explanation:
Hope this helps!
An expression is shown.
95-34
What is the value of the expression?
Answer:
61
Step-by-step explanation:
95
- 34
_______
61
I have no idea how to solve this
Answer:
x is 11.2 ur welcome
Step-by-step explanation:
Functions:
In image 1: Evaluate the functions
In image 2: Given the functions, find their inverse, if possible and if not possible, redefine Domain or Range
Answer:
Image 11. x = 4
f(4) = (- 3*4 + 1) / 6 = -11/62. x = -2/3
f(-2/3) = -3*(-2/3) + 10 = 2 + 10 = 123. x = -5
f(-5) = [tex]\sqrt{-(-5)/20}[/tex] = [tex]\sqrt{5/20}[/tex] = [tex]\sqrt{1/4}[/tex] = 1/2Image 2To work out the inverse, substitute f(x) with x and x with y, then solve for y. The new function is the inverse of the given.1. f(x) = 5x + 3
x = 5y + 3 ⇒ 5y = x - 3 ⇒ y = (x - 3)/5f⁻¹(x) = (x - 3)/52. f(x) = 4/5x
x = 4/5y ⇒ y = 5/4xf⁻¹(x) = 5/4x3. f(x) = (2x + 7)/4
x = (2y + 7)/4 ⇒ 2y + 7 = 4x ⇒ 2y = 4x - 7 ⇒ y = 2x - 3.5f⁻¹(x) = 2x - 3.54. f(x) = (2x + 7) /(x + 3) = 2 + 1/(x + 3)
x = 2 + 1/(y + 3) ⇒ x - 2 = 1/(y + 3) ⇒ y + 3 = 1/(x - 2) ⇒ y = (1 - 3x + 6)/(x - 2) ⇒ y = (7 - 3x)/(x - 2)f⁻¹(x) = (7 - 3x)/(x - 2)5. f(x) = [tex]\sqrt{x - 4}[/tex]
x = [tex]\sqrt{y - 4}[/tex] ⇒ x² = y - 4 ⇒ y = x² + 4f⁻¹(x) = x² + 4A bookstore tracked the data of the weight of their deliveries and the number of books in each box. They created a
scatterplot and trend line based on the data.
Weight (lbs)
4
2
1
6
8 9 10
Number of Books
Which statement would be a reasonable prediction based on the scatterplot and trend line?
A box with 10 books should weigh about 2 pounds.
A box with 10 books should weigh about 4 pounds.
A box with 10 books should weigh about 6 pounds.
A box with 10 books should weigh about 12 pounds.
Answer: I am taking the test rn and I think its (C) Since the trend line is a positive correlation and slope, so then a good estimate would be 6
Step-by-step explanation: I may be wrong, but this is the best choice in my opinion
EDIT AFTER TEST: Yep C is correct! i got a 100 on the test
Answer:
The answer is C. I hope this helps you out. Have a wonderful safe day. <3<3<3
Step-by-step explanation:
the area of the square is 25 inches what is the measure on one side of the square??
Answer:
5
Step-by-step explanation:
area of a square= side x side
[tex]\sqrt{25}[/tex] = 5
llyssa spent 3/8 of her money on a bag. she gave 2/5 of the remaining amount to her sister. What fraction of her money was left with?
Answer:
3/8
Step-by-step explanation:
After spending 3/8 of her money on a bag, she has 5/8 of the original amount of money left. As she gave 2/5 of the remaining amount of money to her sister, she gave 1/4 of the original amount of money to her sister (5/8 × 2/5 = 1/4). Therefore, there's only 3/8 (1 - 3/8 - 1/4 = 3/8) of the original amount of money left in her bag.
How many 6 digit combinations are there using only numbers 1-9?
Answer:
With no digits repeated that would be 60,480
Step-by-step explanation:
9×8×7×6×5×4 = 60,480
Hillary is choosing a notebook. She can have a three-ring or two-ring binder in red, blue, green, or striped, with or without interior pockets. How many combinations of notebooks does she have? Solve step by step.
Answer:
Step-by-step explanation:
expression that is equivalent to 7 3/4 + 3 5/6 - 1 3/4 that uses addition instead of subtraction.
Answer:
7 3/4 + 1 3/4 - 3 5/6 = 4 + 3/4 + 3/4 + 1/6
Step-by-step explanation:
we do not want the minus sign.
7 3/4 + 1 3/4 - 3 5/6 = 7 3/4 + 1 3/4 - 3 - 5/6
7 3/4 + 1 3/4 - 3 5/6 = 7+ 3/4 + 1 + 3/4 - 3 - 5/6
7 3/4 + 1 3/4 - 3 5/6 = 7 + 1 - 3 + 3/4 + 3/4 - 5/6
7 3/4 + 1 3/4 - 3 5/6 = 5 + 3/4 + 3/4 - 5/6
7 3/4 + 1 3/4 - 3 5/6 = 4 + 3/4 + 3/4 + 1 - 5/6
7 3/4 + 1 3/4 - 3 5/6 = 4 + 3/4 + 3/4 + 1/6
help plsssssssssssssssssssssssssssss
Answer:
c. x= 28°, y= 76°
Step-by-step explanation:
y= 180-104=76°
104= x+y (property of triangle, exterior angles is equal to the sum of opposite interior angles)
x=104-76= 28°
I need these three and they shouldn’t be too hard.
Answer:
i dont know
Step-by-step explanation:
sorry my man my school is still just going into these kind of questions ):
Giselle uses 2 ounces of pasta to make 2 over 3 of a serving of pasta. How many ounces of pasta are there per serving
Jack spent a mean of $4 in the last 5 days how much did he spend on the 4th day
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 9$
Explanation:
5 + 3 + 1 + x + 2 = 20
Subtract all those numbers
x = 9
5 + 3 + 1 + 9 + 2 = 20
20 / 5 = 4
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Playland Park charges $25 admission plus $2 per ride. Funland Park charges $35 admission plus $1 per ride. For what number of rides is the total cost the same at both parks?
Isabelle was curious if sample maximum was an unbiased estimator of population maximum. She started
with a large normally distributed population of test scores whose maximum was 99 points.
She then took a random sample of 6 tests and calculated the maximum of the sample. She replaced those
tests and repeated this process for a total of 40 trials. Her results are summarized in the dotplot below,
where each dot represents the maximum score from a sample of 6 tests.
HHH
HU
75
80
85
90
95
100
Sample maximum
Answer: sample maximum appears to be biased estimator since it consistently underestimated the population maximum
Answer: Sample maximum appears to be biased estimator since it consistently underestimated the population maximum.
Step-by-step explanation:
I need help with this geometry question guyss!!
Answer:
Step-by-step explanation:
If a quadrilateral is a parallelogram, then its opposite sides are congruent. If a quadrilateral is a parallelogram, then its opposite angles are congruent. If a quadrilateral is a parallelogram, then its diagonals bisect each other.
Mario Works in a bakery He made 90 more loaves of bread on Saturday then he did on Sunday he made 70 more loaves of bread on Monday that he did on Sunday if he made 340 loaves off Bread on Monday how many lobes are friendly do you make on Saturday
Hi can u tell me whats going on here?