The radius of the circle is 8 inches when the sector of a circle has an area of 104pi/9 square inches.
What is a sector of a circle?A sector is said to be a part of a circle made of the arc of the circle along with its two radii. It is a portion of the circle formed by a portion of the circumference (arc) and radii of the circle at both endpoints of the arc.
Which is the radius of a circle?Radius of a circle is the distance from the center of the circle to any point on it's circumference.
Area of a sector = [tex]\frac{\theta}{360} \pi r^2[/tex]
[tex]\text{Given area = }\frac{104\times \pi}{9}=\frac{65}{360}\times \pi r^2\\\\\frac{104}{9}=\frac{65}{360} \times r^2\\\\r^2=\frac{37440}{585}\\\\r=8.001[/tex]
Hence, option b is correct, that is the radius of the circle is 8 inches.
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Based on information from the periodic table, what does this image represent? HE 4 Protons e 5 Neutrons = 2 Electrons A. A negatively charged beryllium ion
B. A neutral boron atom
C. A neutral beryllium atom
D. A positively charged beryllium ion
Answer:
D. A positively charged beryllium ion
This image represents A positively charged beryllium ion.
We have given that,
He 4 Protons e 5 Neutrons = 2 Electrons
A. A negatively charged beryllium ion
B. A neutral boron atom
C. A neutral beryllium atom
D. A positively charged beryllium ion.
We have to determine, Based on information from the periodic table what does this image represent?
What is the periodic table?A table of the chemical elements arranged in order of atomic number, usually in rows, so that elements with similar atomic structure (and hence similar chemical properties) appear in vertical columns.
This image represents A positively charged beryllium ion.
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Which equation represents circle A?
Answer:
there answer is either a or c
Equation C represents circle A.Option C is correct.
What exactly is a circle?It is a point locus drawn equidistant from the center. The radius of the circle is the distance from the center to the circumference.
The generalized equation of the circle with the coordinate(h,k) and radius r is;
(x-h)²+ (y-k) =r²
After graphing each and every equation given in the options we will come to the conclusion that equation c satisfies the given circle as;
(x-4)²+ (y-(-5)) =6²
(x-4)²+ (y-(-5)) =36
Hence option C is correct.
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For a rhombus, which of the following statements are true? (select all that apply)
1)Opposite sides are parallel
2)All sides are congruent
3)Consecutive angles are congruent
4)Consecutive angles are supplementary
5)All angles are congruent
6)Opposite angles are congruent
Answer: 1,4,6
Step-by-step explanation:
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What is the value of x?
50°
50
Ο Ο Ο Ο
O 90
Answer:
X = 40
Step-by-step explanation:
All interior angles of a triangle equal to 180, and since we know the other two measures we can simply subract them from 180 to get the value of x
180-50-90= 40
Answer:
The answer is 40
Step-by-step explanation:
Convert the equation into standard form.
25x^2 - 9y^2 + 200x + 18y + 166 = 0
Answer:
the answer is d (x+4)^2/9 - (y-1)^2/25
Step-by-step explanation:
its correct on edge
The standard form of the given equation is [tex]\dfrac{(x+4)^2}{9}-\dfrac{(y+1)^2}{25}=1[/tex]
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Begin by grouping the x terms together and the y terms together, and getting the constant on the other side of the equals sign:
25x² +200x - 9y² +18y = -166
Now we need to complete the square on the x terms and the y terms. Do this by first factoring out the leading coefficient from each, the 25 from the x's and the 9 from the y's:
25(x² +8x) - 9 (y² +2y) = -166
Now take half the linear term in each set of parenthesis, square it, and add it to both sides, remembering the multiplier outside (the 25 and the 9). Our x linear term is 8. Half of 8 is 4, and 4 squared is 16, so we add a 16 into the parenthesis with the x's; our y linear term is 2. Half of 2 is 1 and 1 squared is 1, so we add a 1 into the parenthesis with the y's:
25(x² +8x + 16)-9(y²+2y +1) = -166+400-9
Note the 400 and -9 on the right side now. 25 times 16 is 400; we didn't just add in a 16, we have to multiply the scalar number into it before we know what we really added in. And the -9 comes from multiplying the -9 times 1.
The reason we do this is to get the perfect square binomials on the left that we created while completing the square:
25(x+4)² - 9 (y+1)²= 225
Now, finally, we will divide both sides by 225 to get this conic into the standard form:
[tex]\dfrac{(x+4)^2}{9}-\dfrac{(y+1)^2}{25}=1[/tex]
This is a hyperbola with a horizontal transverse axis and a center of (-4, -1). The reason we know it's not an ellipse is because an ellipse will always have a + sign separating the x-squared from the y-squared whereas a hyperbola always has a - sign separating them. And we also know it's not a circle because the values of the leading coefficients weren't the same.
Therefore the standard form of the given equation is[tex]\dfrac{(x+4)^2}{9}-\dfrac{(y+1)^2}{25}=1[/tex]
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ABCD is a rhombus with diagonals intersecting at E. If mABC is three times mBAD, find mABC.
And the answer is : 4m+m=180.
Do hope you will find it helpful!
Step-by-step explanation:
Which is the better deal?
Box of Cheerios
48 oz for $3.99
36 oz for 2.59
12 oz for 1.99
48 oz?
Step-by-step explanation:
I don't know if you are just asking or what not but I belive it is 48 ozs but I could be wrong
Answer:
36oz for 2.59
Step-by-step explanation:
Try doubling each possible answer (largest isn't required):
36oz for 2.59 doubled is 72oz for 5.18.
12oz for 1.99 doubled is 24oz for 3.98.
The clear answer is 72oz for 5.18 instead of 48oz for 3.99.
find the 12th term of the geometric sequence 1,-4,16
Answer:
common ratio =r=3
Step-by-step explanation:
Answer:
−4194304
Step-by-step explanation:
Solve for d.
d^3 + 27 = 0
Write your answers in simplified, rationalized form.
Answer:
d=-3
Step-by-step explanation:
d3+27=0
Step 1: Subtract 27 from both sides.
d3+27−27=0−27
d3=−27
Step 2: Take cube root.
d=(−27)(
1
3
)
d=−3
What is the percent decrease from 61 to 11?
Find the missing length of the solid figure.
3 m
?
3 m
meters
8 m
Answer:
2 m
Step-by-step explanation:
8-3-3=2
A company offers broadband for a one-off charge of £60 for every 3 months, then £28 per month after that. How much will 12 months' broadband cost?
Step-by-step explanation:
12 months with $60 every 3 months is $240
then add $28 "per month after that"
Please I need help it’s an emergency
Answer:
A. Cos θ = 16/42
Step-by-step explanation:
The angle the ladder makes with the floor = θ
Hypotenuse = length of the ladder = 42 m
Adjacent = Distance from the bottom of the ladder to the wall = 16 m
Therefore to find θ, we would apply the trigonometric function, CAH:
Cos θ = adj/hyp
Which is:
Cos θ = 16/42
After the end of everyday, a production plant's maintenance crews check on the machinery and grade each item's state of repair. A particular robot arm can be given ve grades: Excellent, Good, Satisfactory, Watch, Failed. If the robot arm is tagged with a Failed grade, a crew will be sent the next day to repair it. There is about a 60% chance the crew will be successful in repairing the arm back to an Excellent condition. Otherwise, they have to try again the next day to x it. The general wear and tear of operation causes at most a single level of deterioration a day and this grade decrease happens about 25% of the time. During the day, the operators can tinker with the arm and are able to increase (if possible) the repair grade level 10% of the time. The operators cannot improve a Failed arm. Management wants to model the daily grade level of a robot arm.
Required:
a. State any assumptions you need to utilize a Discrete Time Markov Chain.
b. What are the possible states of your DTMC?
c. Give the TPM.
d. Draw the TPD
Answer:
It would be C
Step-by-step explanation:
I have done this before!
find the vaule of b in rectangle
When you solve the system shown by the elimination method, which statement is true?
y + 3x = 10
−y − 3x = 10
Answer:
B. There is no solution; x and y are eliminated and you get the false statement 0 = 20.
Step-by-step explanation:
According to the elimination method, the two equations are
y + 3x = 10
−y − 3x = 10
If we solve it
0 = 20
As x and y would be eliminated due to positive and negative signs
Therefore the option b is correct
Help! I’ll reward brainest its pretty easy
Answer:
$5250
Step-by-step explanation:
multiply the cost by the number of people
Answer:
The answer is 5250
Step-by-step explanation:
Add 20 plus ten which is thirty then multiply that buy 175 which is 5250$
balance the equation showing all 6 steps. 200=g-180
Answer:
g = 380
Step-by-step explanation:
200 = g - 180
You add 180 to both sides
200 + 180 = g
380 = g
Hope that helps!
Need help immediately! I can't do this it's way too hard and I don't get it because I missed class today! Someone, can you please do all of them for me?
Answer:
I cant see that pdf you attached maybe tell me what questoin you are asking?
Suppose that, on the average, 1/3 of the graduating seniors at a certain college have two parents attend the graduation ceremony, another third of these seniors have one parent attend the ceremony, and the remaining third of these seniors have no parents attend. If there are 600 graduating seniors in a particular class, what is the probability that not more than 650 parents will attend the graduation ceremony
Answer:
0.9803 = 98.03% probability that not more than 650 parents will attend the graduation ceremony.
Step-by-step explanation:
To solve this question, we need to know the Poisson and the normal distribution.
Poisson distribution:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval. The standard deviation is the square root of the mean.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The Poisson distribution can be approximated to the normal with same means, and [tex]\sigma = \sqrt{\mu}[/tex]
1/3 of the graduating seniors at a certain college have two parents attend the graduation ceremony, another third of these seniors have one parent attend the ceremony, and the remaining third of these seniors have no parents attend.
There are 600 graduating seniors. This means that the expected number of parents attending the ceremony is given by:
[tex]\mu = 600*(2*\frac{1}{3} + 1*\frac{1}{3} + 0*\frac{1}{3}) = 600(\frac{2}{3} + \frac{1}{3}) = 600(1) = 600[/tex]
And
[tex]\sigma = \sqrt{600}[/tex]
What is the probability that not more than 650 parents will attend the graduation ceremony?
Using continuity correction, as Poisson is a discrete distribution while the normal is continuous, this is [tex]P(X \leq 650 + 0.5) = P(X \leq 650.5)[/tex], which is the pvalue of Z when [tex]X = 650.5[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{650.5 - 600}{\sqrt{600}}[/tex]
[tex]Z = 2.06[/tex]
[tex]Z = 2.06[/tex] has a pvalue of 0.9803.
0.9803 = 98.03% probability that not more than 650 parents will attend the graduation ceremony.
4. Which function defines the sequence -6,-10,-14, 18,... , where f(6) = - 26 ?
(1) f(x) = - 4x - 2
(2) f(x) = 4x - 2
(3) f(x) = - x + 32
(4) f(x) = x - 26
9
A group of friends went to lunch. Their original bill cost $50.00, but they had a coupon for 20% off their meal. Find the discounted price (before tax and tip).
Answer: $
A sales tax of 7% was added. What was the total amount including sales tax?
Answer: $
The group chose to tip 20%. What is the total amount that their bill cost including tax and tip?
Answer: $
numerical expressions with the answer 14
Answer:
7 x 2 = 14 or even 7 x 4 / 2 = 14
Step-by-step explanation:
A store is advertising a 40% off sale. Find the new price of a pair of boots that were originally marked $149.00.
Answer:
89.4
Step-by-step explanation:
Okay well if 149=100% and there is a 40% we just have to find 60% and to do that we just multiply 149 by 0.60 to get 89.4
149*0.60=89.6
Which expressions have the same solution as-4(6)?
Check all that apply.
044-6)
4-6)
6(-4)
-8(2)
12(-2)
Answer:
B, C,E
Step-by-step explanation:
I got it right on Edge2021
Please help! Due very soon! help ASAP!!!
Answer:
B and C
Step-by-step explanation:
A, when x = 0, y = 5
B, when x = 4, y = 3
C, when x = 12, y = -1
D, when x = 1, y = 9/2
On the number line -1
Answer:
A
Step-by-step explanation:
Need help ASAP I really need help reviewing this!! Making sure if I have the correct answer !!!
Answer:
1) 5
2) 7
3) Mary
Step-by-step explanation:
1) 20/4 = 5 shots
20 shots = 4 minutes
10 shots = 2 minutes
5 shots = 1 minute
2) 42/6 = 7 shots
42 shots = 6 minutes
21 shots = 3 minutes
21 shots divided by 3 minutes equals 7 shots
3) Mary had 7 shots while John only shot 5.
Can someone please answer a-d I have 5 mins!!!!
6 points and Brainly:)
Answer:
a) 12×6=72 cm²
b) 3x6:2= 9 cm²
c) 3x6:2=9 cm²
d) 72-9-9= 54 cm²
A person places $13900 in an investment account earning an annual rate of 2.8%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 18 years.
Answer
hmm
Step-by-step explanation:
Answer:Can u explain more i odnt understand it pelase
Step-by-step explanation: