what is BOC? please help me!
OA, OB, and OC are all radii of the circle so they have the same length, 12 in. ∆ AOB is therefore isosceles, so the angles at the vertices A and B are congruent. The interior angles of any triangle sum to 180° in measure, so
30° + 2 m∠A = 180° ⇒ m∠A = 75°
Draw an altitude in ∆ AOB that connects the vertex O to the midpoint of AB; this is the height h of ∆ AOB and bisects ∆ AOB into two 15°-75°-90° right triangles. Solve for h and the length of the base AB using trigonometry:
sin(15°) = (AB/2) / (12 in) ⇒ AB = (24 in) sin(15°) ≈ 6.212 in
sin(75°) = h / (12 in) ⇒ h = (12 in) sin(75°) ≈ 11.591 in
Then the area of ∆ AOB is
1/2 (AB) h = (144 in²) sin(15°) sin(75°)
= (72 in²) (cos(60°) - cos(90°))
= 36 in²
where we use the identity
sin(x) sin(y) = 1/2 (cos(x - y) - cos(x + y))
Let m∠BOC = θ. Then
(area of sector BOC) / θ = (area of ⊙O) / 360°
Solve for θ :
θ = (area of sector BOC) / (area of ⊙O) • 360°
θ = (36 in²) / (π (12 in)²) • 360°
θ = (90/π)° ≈ 28.648°
Given that a randomly chosen US Airways (US) flight arrives in Denver (DEN), what is the probability that it arrives on time?
Using the stated percentage, it is determined that it has a 0.877 = 87.7% chance of arriving on time.
The number of desired outcomes divided by the total number of outcomes yields a probability.
A percentage can be regarded as a probability over a big sample.
In this question, 87.7% of flights arrive on time in Atlanta, based on a significant number of flights. As a result, there is a 0.877 = 87.7% chance that it will arrive on time.
Answer: 86.1%
Step-by-step explanation:
Please help it’s algebra polynomials. 10 points
Answer:
(x+2)(7x+2)
Step-by-step explanation:
[tex]7x^{2} +16x+4\\\\7x^{2} +2x+14x+4\\\\\\x(7x+2)+2(7x+2)\\\\\\(x+2)(7x+2)[/tex]
There are seven cows in a pasture and five of those cows are red. What
fraction of the cows are red?
Answer:
5/7
Step-by-step explanation:
Since we have 7 cows in total our denominator would be 7 for now. 5 of the cows are red, so 5/7. Since we can't simplify 5/7 that is our final answer.
Hope this helps!!
Mr. and Mrs. Hodges are shopping for
a new vehicle. They found these prices
for cars that suit their family's needs:
26,500 23,400, 19,950, 47,800 16,800 18,400
What are the mean and median of the
prices they found?
Answer:
See below
Step-by-step explanation:
Arrange the list in ascending order
16 800 18400 19 950 23 400 26 500 47 800
MEDIAN is the middle number ...since there are TWO in the middle it is the average of the two (19950 + 23400) /2 = 21675
MEAN is the average...add all of the numbers and divide by 6
= 25475
Joe's pizza shack sell $5 pizza. If Joe raises the price by 20% , what is the amount of the mark-up?
Answer:6 dollars
Step-by-step explanation:5 +20% gives you 6 which would be the ending price
The number 56 represents the number of
Answer:
56 is: The sum of the first six triangular numbers (making it a tetrahedral number). The number of ways to choose 3 out of 8 objects or 5 out of 8 objects, if order does not matter. The sum of six consecutive primes (3 + 5 + 7 + 11 + 13 + 17)
Step-by-step explanation:
hope this helps:) mark me brainliest if you want !!
Can anyone help please?
Answer:
1)8293
2)8378
srry thts all i could answer :/
Step-by-step explanation:
Please help!!
Find the measure of the arc or angle indicated.
A. 60°
B. 90°
C. 30°
Answer: A
Step-by-step explanation:
Determine whether each of the following sequences are arithmetic, geometric or neither. If arithmetic, state the common difference. If geometric, state the common ratio.
-4, 12, -36, 108, -324, …
My answer below?
12, - 4 = 8
4 -12= -8 (neither)
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
[tex] \textbf{Let's see if the sequence is Arithmetic or Geometric :} [/tex]
[tex] \textsf{If the ratio between successive terms is } [/tex] [tex] \textsf{equal then, the terms are in GP} [/tex]
[tex] \sf{ \dfrac{12}{-4} = -3} [/tex][tex] \sf{ \dfrac{-36}{12} = -3} [/tex][tex] \textsf{Since the common ratio is same, } [/tex] [tex] \textsf{we can infer that it's a geometric progression} [/tex] [tex] \textsf{with common ratio of -3} [/tex]
Answer:
okay
Step-by-step explanation:
[tex]for arithmetic \: progression \: there \: must \: be \: a \: common \: difference \\ \\ to \: get \: common \: difference \: {d} \: \\ get \: the \: the \: term \: infront \: minus \: the \: term \: before \\ say \: d = 12 - ( - 4) = 16 \\ d = - 36 - 12 = - 48 \\ d = 108 - ( - 36) = 144 \\ since \: d \: isnt \: uniform \: this \: is \: not \: arithmetic \: progression \\ \\ for \: geometric \: progression \: there \: must \: be \: a \: common \: ratio \: {r} \\ r \: is \: got \: by \: dividing \: the \: term \: infront \: by \: the \: term \: behind \\ \\ say \: r = 12 \div ( - 4) = - 3 \\ r = ( - 36) \div 12 = - 3 \\ r = 108 \div ( - 36) = - 3 \\ since \: r \: is \: the \: same \: this \: is \: a \: geometric \: serie[/tex]
im SUPER confused who's Candice?
Answer:
Whoes Joe?
Step-by-step explanation:
please help and explain why Geoff is incorrect
Answer:
Craig
Step-by-step explanation:
We can see this with an equation :)
Craig equation: 3x
Geoff: 1/2x
If we put in values for x, we can see who is going faster :)
Craig: 3(2)
6
Geoff: 1/2(2)
1
Have an amazing day!!
Please rate and mark brainliest!!
???help????????imfailing
Answer:
Hi nice girl follow me I love you
What is the probability that if a coin lands on heads and the number cube shows 5
Answer:
Not sure
Step-by-step explanation:
Well I’m just guessing these numbers but…
For the coin it is one minus the probability of the coin landing on tails minus the tiny probability of the coin landing on its edge and balancing there. So something like (1 - 0.499 999 5 - 0.000 001), or 0.499 995; call it as near 0.5 as makes no difference.
For the number cube it is one minus the probability of the cube landing on one, three or five minus the tiny probability of the coin landing on an edge or the even tinier probability of it landing on a corner and balancing there. So something like (1 - 3 * 0.166 666 - 12 * 0.000 000 36 - 8 * 0.000 000 08) , or 0.499 998; call it as near 0.5 as makes no difference.
So the joint probability is the first probability times the second. So 0.5 * 0.5 which is 0.25 for all intents and purposes
(copied from Quora)
solve for x x + 21 = -2x
Answer
-7
Step-by-step explanation:
x + 21 = -2 x
-x -x
21 = -3 x
--- -----
-3 -3
-7 = x
What is an equivalent decimal for 6.0250?
decimal from 6.0250 to 60250. is moving it four decimal places, so that is the same as multiplying by 1 followed by four zeros). This means that an equivalent fraction is 60250 / 10000.
17) What happens to a vertical line if you rotate it 90 degrees clockwise?
A) The image is a ray that points to the left
B) The image line is 90 times as long
C) The image is a vertical line
D) The image is a horizontal line
Answer:
d
Step-by-step explanation:
rotating vertical 90degrees will be horsontal and vice versa
What is the surface area of a cube that’s measured 8 inches
Answer:
2
Step-by-step explanation:
Haven't done this in awhile but I think it's 2 because if you cube 2 it comes to 8. L x W x H = 8 | 2 x 2 x 2 = 8
pls help its due today
Answer:
My reasonable answer would be that it was a translation and then dilation
Step-by-step explanation:
solve for x x/8 -7 = -6
Answer:
x = 8
Step-by-step explanation:
Answer:
x=-8
Step-by-step explanation:
solve for x by simplifying both sided of the equation then isolating the variable
find the domain and range there a picture
explain
Answer:
Below.
Step-by-step explanation:
The Domain is All Real x.
The minimum value of f(x) is -9, so:
the range is f(x) ≥ -9.
Someone please help me I don’t understand this
Answer:
huh
Step-by-step explanation:
The population of Augusta, WI, had a population of 1253 in 2000. If the population increased by 3% each year, what would be the population of Augusta in 2016? 2611 2010 1854 601
Answer:
2010
Step-by-step explanation:
Opal is buying chocolates and flowers for valentine's day. She pays $15 for each bouquet and $5.80 for each box of chocolates. Her total bill comes out to $218.20 and she bought a total of 17 items. How bouquets and how many boxes of chocolates did she buy?
A researcher decides to split scores on an exam into quartiles. She determines that a score of 64 is at the 25th percentile, a score of 74 is at the 50th percentile, and a score of 80 is at the 75th percentile. What is the interquartile range (IQR) for these data
Answer: IQR = 16
Step-by-step explanation:
The given data is 25 th percentile is 64, 50th percentile is 74 and 75 th percentile is 80.
percentage : 25 50 75
score : 64 74 80
Median:- The median is obtained by first arranging the data in ascending or descending order and applying the following rule.
If the number of observations is odd, then the median is observation
term
If the number of observations is even, then the median is observation and observations.
given n=3, middle term is '74'
In this given data the median is (M) = 74
Interquartile range IQR = median of upper half-median of lower half
= 80-64
= 16
IQR = 16
Determine the equation of the line with the following characteristics.
Slope 3, passing through (2,3) and (-1,9)
Answer:
y = 3x - 3
Step-by-step explanation:
Given, (2,3) and (-1,9), m = 3
Equation of a straight line is y = mx + c
Here, y = 3, x = 2 and m = 3
Substituting the values in y = mx + c we get,
3 = 3(2) + c
c + 6 = 3
c = 3 - 6
c = -3
So, the equation of the line is y = 3x - 3 (Answer).
Kellen runs for at least 1 hour but for no more than 2 hours. He runs at at an average rate of 6.6 kilometers per hour. The equation that models the distance he runs for t hours is d=6.6t
Find the theoretical and practical domains of the equation.
Select ALL correct answers.
Question 4 options:
The practical domain is all real numbers.
The theoretical domain is all real numbers.
The theoretical domain is all real numbers greater than or equal to one and less than or equal to two.
The practical domain is all real numbers greater than or equal to one and less than or equal to two.
B is true; pi= ~3.14. 3+4 is equal to 7, so because pi is greater than 3, pi+4>7
A business advertises that everything in the store is an additional 10% off the already reduced prices. marcus picks out 2 shirts that are on a 30% off rack. if the shirts are originally priced at $28.99 and $30.29 and there is 6% sales tax, how much does marcus end up paying for them? a. $39.59 b. $37.70 c. $37.35 d. $35.57
The amount that marcus end up paying for the two shirts originally priced at $28.99 and $30.29 is given by: Option A: $39.59
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
For this case, we're given that:
Cost of two shirts originally is $28.99 and $30.29
30% is off on each of them, so we get:
New price of each shirt = Old price of each shirt - 30% of old price of each shirt
New price of each shirt = [tex]28.99 - \dfrac{28.99}{100} \times 30[/tex] and [tex]30.29- \dfrac{30.29}{100} \times 30[/tex]
This sums up to $41.496
Now, at this price, there'd be application of 10% additional discount.
That will make the new price as:
[tex]41.496 - \dfrac{41.496}{100} \times 10 =37.3464[/tex]
Now, on this price, there'd be applied 6% sales tax
So, the amount he paid for 2 shirts = discounted price + 6% tax on discounted amount
= [tex]37.3464 + \dfrac{37.3464}{100} \times 6 \approx 39.59 \: \rm dollars[/tex]
Thus, the amount that marcus end up paying for the two shirts originally priced at $28.99 and $30.29 is given by: Option A: $39.59
Learn more about percent here:
https://brainly.com/question/11549320
The five sales people at Southwest Appliances
earned commissions last year of $20,000, $35,000 $40,000,
$18,000, and $32,000. Find the mean commission.
Pls explain how you got ur answer
Answer:
$33012
Step-by-step explanation:
Total Monthly Budget= $ 2751
Total Yearly Budget=2751×12=$33012