since the diameter is 66 cm, then its radius is half that or 33 cm.
[tex]\textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ r=33\\ \underset{complete~turn}{\theta =2\pi ~\hfill } \end{cases}\implies s=(33)(2\pi )\implies s=66\pi \implies s\approx 207.34~cm[/tex]
Pleaseeeee helpppp neeed doneee asappp
Answer: 107 meters
Step-by-step explanation:
There are 2 ways to solve this:
1. The formula for arc length is: arc length = angle (in radians) * radius.
Thus, convert 123 degrees to radians by multiplying it by (pi/180), and then multiply this number by 50 (half of the diameter is the radius) in order to get 107.
2. Find the circumference of the track using C = pi*diameter and get 314.16. Then, set up a proportion: 314.16 meters / 360 degrees = x meters / 123 degrees and solve to get 107 :)
A construction company transported 8 stones that weighed a total of 70.22 kilograms. How much did each stone weigh?
Answer:
8.7kilos
Step-by-step explanation:
70.22 divided by 8
hope this helps!
WILL GIVE BRAINLIEST TO BEST ANSWER, THANKS, 5 STARS!
PLEASE HELP!!
What are the zero(s) from the function f(x)=-4x^2-16x-12
(Select all that apply)
(4,0)
(-12,0)
(-4,0)
(1,0)
(-3,0)
(-1,0)
(3,0)
Answer: (-3, 0) and (-1, 0)
Step-by-step explanation:
[tex]-4x^2-16x-12[/tex]
[tex]\mathrm{Rewrite\:}-16\mathrm{\:as\:}-4\cdot \:4[/tex]
[tex]\mathrm{Rewrite\:}-12\mathrm{\:as\:}-4\cdot \:3[/tex]
[tex]=-4x^2-4\cdot \:4x-4\cdot \:3[/tex]
[tex]\text{Factor out common term -4}[/tex]
[tex]=-4\left(x^2+4x+3\right)[/tex]
[tex]x^2+4x+3[/tex]
[tex]=\left(x^2+x\right)+\left(3x+3\right)[/tex]
[tex]=x\left(x+1\right)+3\left(x+1\right)[/tex]
[tex]\mathrm{Factor \ out \ common \ term \ x+1}[/tex]
[tex]=\left(x+1\right)\left(x+3\right)[/tex]
[tex]=-4\left(x+1\right)\left(x+3\right)[/tex]
Roots:
x + 3 = 0 and x + 1 = 0
x = 0 - 3 x = 0 - 1
x = -3 x = -1
Therefore, the zeroes of the function are (-3, 0) and (-1, 0)
Elena drives for 3 hours at 44mph claire drives 144miles in 4 hours how far would elena travel if she drove for 3hours at the same speed as claire?
Answer:
108 miles
Step-by-step explanation:
144m/4h = 36m/1h or 36mph
36mph · 3 = 108m
HELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLO
Answer:
hi
Step-by-step explanation:
Damian needs to buy 5 pints of juice but the store doesn't sell juice in pints, so damian buys 3 quarts of juice. does damian buy enough juice if not how much more does he have left or need to have enough?
Answer:
Damain has bought enough juice.
Step-by-step explanation:
1 qt(quart) = 2 pints.
3 qt = 6 pints.
6 pints > 5 pints (6 pints is bigger than 5 pints)
Therefore, Damain has bought enough juice.
Please mark as brainliest!
3a+2(4a-b)
please simplify this equation with processing
[tex]\bf \colorbox{black} {\bf {\textcolor{blue}{topic= }{ \bf { \textcolor{orange}{mathematics= }{ \bf{ \textcolor{cyan}{answer = }}}}}}}[/tex]
3a+2(4a-b)=
3a+8a-2b=
[tex] \bf \textcolor{green}{ \underbrace{11a - 2b}}[/tex]
xLasersx✨A parabola has a vertex at (0,0). The equation for the directrix of the parabola is x = –4. In which direction does the parabola open? up down right left.
The parabola with vertex at (0,0) and directrix at x=-4, will open towards the right.
What is a directrix?A parabola is a collection of points on a plane that are all at the same distance from a particular point and line. The point is called the focus of the parabola while the line is called the directrix. The directrix is perpendicular to a parabola's axis of symmetry and does not contact it.
As we know that the directrix is perpendicular to the axis of the parabola, now since the directrix is at x=-4, the parabola will be horizontal and will be opening either towards the left or the right.
As it is given that the vertex of the parabola is at (0,0) and we know that the parabola can not touch the directrix, therefore, the parabola's vertex will be at (0,0) and will open towards the right side. As shown below.
Hence, the parabola with vertex at (0,0) and directrix at x=-4, will open towards the right.
Learn more about Directrix:
https://brainly.com/question/2629634
Answer:
right
Step-by-step explanation:
What is the area of the polygon given below?
Answer:
C. 120 square unitsStep-by-step explanation:
Easy just divide this into 2 shapes.
The area of a rectangle is lenght Times Width.
2 Rectangles. So the One on the left would be
5X12=60 is the area of the first one.
The Second rectangle is
6X10=60
Both rectangles have the same area.
Now just add up both areas
60+60= 120 square units
SonicIsCoool, if you need more help I'm at your service
:)
Answer:
C. 120 units² or square units
Step-by-step explanation:
View the attached picture
Hope it helps!
Identify the key characteristics of the exponential function.
y =
2(1)"
Answer:
2x1 mabe
Step-by-step explanation:
im just doing that because they are next to eatch other but im in 6 grade so if i get it wrong dont blame me
what is pi and why do we need it
Answer:
Pi is used to find the area and circumference of a circle. Pi can be used to find an area by multiplying the radius of the circle squared times pi.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
The graph of g is a translation 2 units left of the graph of f(x) = x−−√x. What is the domain of g? A. all real numbers B. x ≥ −2 C. x ≥ 0 D. x ≥ 2
4 units left means change in x
y=x√x+2So
Solve for domain
x+2≥0x≥-2Domain=[-2,oo)Option A
The domain of g is x ≥ -2, which is option B.
What is Translation?Translation is a type of transformation of geometrical figures. After translation, the original figure is shifted from a place to another place without affecting it's size.
Given that,
the graph of g is a translation 2 units left of the graph of f(x) = x√x.
When f(x) is translated k units to the left, the new function will be f(x + k).
So the new function g is,
g(x) = (x + 2) √(x + 2)
In order for the function to be defined, the part inside the square root must be greater than or equal to 0.
x + 2 ≥ 0
x ≥ -2
Hence the domain is x ≥ -2.
Learn more about Translation here :
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A tank that is 20% full contains 125 gallons of water. How many gallons would be needed to fill the entire tank? How many gallons are there if thetank was 30% full? What percent of the tabk is full if tgerd are 500 gallons?
Answer:
625
Step-by-step explanation:
becuase 20% is equivilant to 1/5 you need to multiply by 5 to get 1t or full.
part b: 187.5
part c: 125 gallons is 25%. this is because you can fit 4 of it into one 500 gallon tank
Answer:
625 gal, 187.5 gal, 80%
Step-by-step explanation:
[tex]\frac{125}{x}[/tex]=[tex]\frac{20}{100}[/tex] 125*100/20=625
[tex]\frac{x}{625}=\frac{30}{100}[/tex] 30*625/100=187.5 or 625*.3=187.5
[tex]\frac{500}{625}=\frac{x}{100}[/tex] 500*100/625=80
Visible light waves that our eyes see as the color red have a wavelength of about 6.7 x 10-7 meters. What is the frequency of these waves? The speed of light is 3.0 x 10 8 m/s. [v = 1f]
The frequency of these visible light waves that our eyes see is equal to [tex]4.47\times 10^{-14}\;Hz[/tex]
What is wavelength?Wavelength refers to the distance between two (2) successive crests (troughs) of a wave.
How to calculate frequency.Mathematically, the frequency of a wave is given by this formula:
[tex]F = \frac{V}{\lambda}[/tex]
Where:
F is the frequency of a wave.V is the speed of a wave.[tex]\lambda[/tex] is the wavelength of a wave.Substituting the given parameters into the formula, we have;
[tex]F=\frac{3 \times 10^8}{6.7 \times 10^{-7}} \\\\F=4.47\times 10^{-14}\;Hz[/tex]
Read more on frequency here: https://brainly.com/question/19250621
10 A grocery store bought 1,600 cans of
vegetables in different sizes. Of the cans,
25% contained less than 400 grams of
vegetables, 15% contained between 400
and 500 grams of vegetables, and the
rest contained more than 500 grams of
vegetables.
How many cans contained more than 500
grams of vegetables?
F 1,120
H 640
G 800
J 960
Answer:
1020 cans
Step-by-step explanation:
100-25
=75%
0.75x1600
1200cans
100-15
=85%
0.85x1200
=1020 cans
Solve for x if 2(5x + 2)^2 = 48
reflect the shape A in the line
x=1
What are the coordinates of the vertices of the image?
its for a maths test!!!!!!!!!!!!!!!!!!!!!!!!!!
correct answers to be awarded brainley
.
i dont knowkkkkkkkkkkkkk
Solve this for 100 points
Answer:
you may check in your book this question is related with stastics
Answer:
(S)=0
Step-by-step explanation:
4x^2 - y^2 - 2x- y
Factorise each of the following expressions completely
Answer:
(2x + y)(2x - y - 1)
Step-by-step explanation:
4x² - y² - 2x - y
4x² - y² is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , then
4x² - y²
= (2x)² - y²
= (2x - y)(2x + y)
expression is now
(2x - y)(2x + y) - (2x + y) ← factor out (2x + y) from each term
= (2x + y)(2x - y - 1)
Step by Step solution please.
Thanks
Derivation of f(x):
[tex]f'(x) = \frac{g(x)*8x-4x^2*g'(x)}{(g(x))^2} -\frac{1}{x+2}[/tex]
Since g(3) = 6 and g'(3) = 3
[tex]f'(3) = \frac{g(3)*8*3-4(3)^2*g'(3)}{(g(3))^2} -\frac{1}{3+2} \\f'(3) = \frac{6*8*3-4*9*3}{36} -\frac{1}{5} \\f'(3) = \frac{36}{36} -\frac{1}{5} =1-\frac{1}{5} =\frac{4}{5}\\ f'(3) = 0.8[/tex]
Thus f'(3) = 0.8
Hope that helps!
A couple of identities I used in derivation:
[tex]\frac{d}{dx} (ln x) = \frac{1}{x}[/tex]
help me quickly
102% of 120=
102 is what percent of 120? = 85.
Answer:
122.4
Step-by-step explanation:
this is easy, all we need to do is multiply 120 by 1.02, since it is 2%, and it is increasing not decreasing. when we do that, we get 122.4. to check, you can also do .02x120, to get 2.4. please mark as brainlest.
Find the missing value to the nearest hundredth.
Answer:
24.62°
Step-by-step explanation:
sin^-1 (5/12)
=24.62
Answer:
24.62°
Step-by-step explanation:
sin^-1(5÷12) = 24.62°
(if you are allowed to use calculator)
please help i am confused.
Answer:
12.16 inches.
Step-by-step explanation:
Use pythagoras thereom since they are right angle triangles. A² = c² - b².
For NP triangle:
10² - 4² = 84. square root of 84 is 9.165.
For MN triangle:
5² - 4² = 9. square root of 9 is 3.
finally, add them up:
3 + 9.165 = 12.165, to 2 d.p., it is 12.16 inches.
How much money would you have after 7 years if you invested$12,000 at 2% in order to have compounded annually?
Answer:
$1,680
Step-by-step explanation:
i think it is right because 12,000 at 2 percent=280 then 280×7= 1,680
Which statement is true about the transformation?
It is isometric because not all side lengths and angle measures remained the same.
It is isometric because all side lengths and angle measures remained the same.
It is not isometric because not all side lengths and angle measures remained the same.
It is not isometric because all side lengths and angle measures remained the same.
Answer:
B. It is isometric because all side lengths and angle measures remained the same
Step-by-step explanation:
Answer:
B) It is isometric because all side lengths and angle measures remained the same.
Step-by-step explanation:
Got it right on edge <3
Help me due in 5 mins!
A large company produces an equal number of brand-mame lightbulbs and generic lightbulbs. The director of quality control sets guidelines that lightbulbs that are defect lightbulbs that are defective is not equal to the director wants to estimate the average of the two proportions. Production will be stopped if there is evidence that the proportion of all ve is greater than 0. 10. The director also believes that the proportion of brand-name proportion of generic lightbulbs that are defective. Therefore, the o estmate the proportion of brand-name lightbulbs that are defective, a simple random sample of 400 brand-name lightbulbs brand-name lightbulbs that are defective in a sample of 400, and let px represent the proportion of all brand-name lightbulbs that are defective. It is reasonable to assume that X is a binomial random variable.
(a) One condition for obtaining an interval estimate for px is that the distribution of px is approximately number of is taken and 44 are found to be defective. Let X represent the normal Is it reasonable to assume that the condition is met? Justify your answer.
(b) The suandard error of hr is approumately O 0156 Show how the value of the standard error is calculated
Using the Central Limit Theorem, we have that:
a) Since there are at least 10 successes and 10 failures, the condition is met.
b) Using the formula [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], with n = 400 and p = 0.11, the standard error is of 0.0156.
What does the Central Limit Theorem state?
It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].
Item a:
44 are found to be defective, hence:
np = 44.n(1 - p) = 356.Which means that the conditions are met.
Item b:
We have that the parameters are:
[tex]n = 400, p = \frac{44}{400} = 0.11[/tex]
Hence, the standard error is given by:
[tex]s = \sqrt{\frac{0.11(0.89)}{400}} = 0.0156[/tex]
More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213
Solve for k.
Give an exact answer.
2.5(4k+2)=12k2.5(4k+2)=12k
Answer:
The answer would be k=5/2
Step-by-step explanation:
2.5 (4k+2)12k <- distribute the 2.5 into the parentheses
10k+5=12k <- take the parentheses out of the equation
10k-12k= -5 <- Move the like terms to one side and change the sign
-2k= -5 <- Collect the like terms & divide by -2 on both sides of the equation
k=5/2 <- Answer at the end
How many different triangles can you make if you are given the measurments or two sides an angle that is not between those two sides
Answer:
2.
Step-by-step explanation:
This is called the ambibuous case where 2 sides are given and angle opposite one of these sides.
2 traingles are possible.
I WILL GIVE YOU BRAINLIEST PLEASE HELPPPPP
Answer: 3/2
Step-by-step explanation:
Let's consider the points (6,9) and (4,6).
The difference in the y coordinates is 3, and the diffeence in the x coordinates is 2.
So, the slope is 3/2.