Answers
72/360 = x/10pi
1/5 = x/10pi
x = 2pi
6.3 cm
Related Questions
The square of T varies directly with the cube of a and inversely with the square of d; T = 4 when a = 2 and d = 3
Answers
Write a general formula to describe each variation.
The square of T varies directly with the cube of a and inversely with the square of d; T = 4 when a = 2 and d = 3
Answer:T² = [tex]\frac{18a^3}{d^2}[/tex]
Step-by-step explanation:Few things to note:
i. direct variation: When a variable x varies directly with another variable y, we write it in this form;
x ∝ y.
This can then be written as;
x = ky
Where;
k = constant of proportionality variation.
ii. inverse variation: When a variable x varies inversely with another variable y, we write it in this form;
x ∝ [tex]\frac{1}{y}[/tex]
This can then be written as;
x = k([tex]\frac{1}{y}[/tex])
Where;
k = constant of proportionality or variation
iii. combined variation: When a variable x varies directly with variable y and inversely with variable z, we write it in this form;
x ∝ ([tex]\frac{y}{z}[/tex])
This can then be written as;
x = k ([tex]\frac{y}{z}[/tex])
Where;
k = constant of proportionality or variation
From the question;
The square of T varies directly with the cube of a and inversely with the square of d.
Note that
square of T = T²
cube of a = a³
square of d = d²
Therefore, we can write;
T² ∝ [tex]\frac{a^3}{d^2}[/tex]
=> T² = k ([tex]\frac{a^3}{d^2}[/tex]) -------------------(i)
Since;
T = 4 when a = 2 and d = 3
We can find the constant of proportionality k, by substituting the values of T=4, a = 2 and d = 3 into equation (i) and solve as follows;
(4)² = k ([tex]\frac{2^3}{3^2}[/tex])
16 = k ([tex]\frac{8}{9}[/tex])
8k = 16 x 9
8k = 144
k = [tex]\frac{144}{8}[/tex]
k = 18
Now substitute the value of k back into equation (i);
T² = 18 ([tex]\frac{a^3}{d^2}[/tex])
T² = [tex]\frac{18a^3}{d^2}[/tex]
Therefore, the general formula that describes the variation is;
T² = [tex]\frac{18a^3}{d^2}[/tex]
Use the following image to determine the measure of arc GH.
Answers
Answer:
Arc GH = 78°
Step-by-step explanation:
Inscribed angle = m<GIH = 39°
Measure of arc related to inscribed angle = arc GH = ?
Thus:
m<GIH = ½(arc GH) => Inscribed angles theorem
Substitute
39° = ½(arc GH)
Multiply both sides by 2
2*39° = arc GH
78° = arc GH
Arc GH = 78°
Beezlebum's Toy Store can't keep their stackable block set in stock! The blocks completely fill a box shaped like a rectangular prism that is 14 inches long, 14 inches wide, and 21 inches tall. The cube-shaped blocks in the set are 3.5 inches along each edge.
How many blocks are in the set?
Write your answer as a whole number or decimal. Do not round.
Answers
9514 1404 393
Answer:
96
Step-by-step explanation:
In terms of blocks, the box dimensions are ...
(14 in)/(3.5 in/block) = 4 blocks
(21 in)/(3.5 in/block) = 6 blocks
Then the volume in terms of blocks is ...
V = LWH
V = (4)(4)(6) = 96 . . . . blocks
There are 96 blocks in the set.
2x2-1/3x2+7/3x2 plzzzzzzzzzzzz fast
Answers
Answer:
8
Step-by-step explanation:
8 is the correct answer
Answer:
12 2/3
Step-by-step explanation:
Please answer this your award will be 20 points for the first answer and brainliest
Answers
Step-by-step explanation:
pool = 1600 sq.cm
1600 sq.sm = 50cm × 32cm
AB = 50cm
the area of the park of A'B' :
50cm×4=200 sq.cm
Determine the value of x
Answers
Answer:
B is the answer.
Step-by-step explanation:
Which multiplication problem is represented by the model?
Divide. Write your answer in simplest form.
1/5 ÷ 4
Answers
Suppose that there is a positive correlation between the variables k and I. If I
is 75 when k is 7, which of these is most likely to be the value of I when k is
14.
O A. 75
O B. 25
C. 50
D. 150
Answers
Answer:
150
Step-by-step explanation:
if there is a positive correlation
when k increases l should also increase
only 150 is an increase in l
Five cards are drawn randomly from a standard deck of 52 cards.
Determine the probability that exactly 3 of these cards are Aces. Write your answer in decimal form, rounded to 5 decimal
places
Answer:
Answers
=========================================================
Explanation:
There are 4 ways to select 3 aces where order doesn't matter. It's basically the same as saying there are 4 ways to leave out one ace.
Then we have 2 slots left to fill. There are (48*47)/2 = 1128 ways to do this where order doesn't matter. The 48 is from the fact there are 52-4 = 48 cards that aren't aces. We step down to 47 after picking the first non-ace card. The 2 in the denominator is to correct for double counting.
We found there were 4 ways to pick the three aces, and 1128 ways to pick the other two non-ace cards. Overall, there are 4*1128 = 4512 ways to pick all five cards where we have exactly 3 aces.
This is out of 52C5 = 2,598,960 ways to select any five cards from a 52 card deck. I'm using the nCr formula which is
[tex]_n C _r = \frac{n!}{r!*(n-r)!}[/tex]
Use n = 52 and r = 5 to get the value mentioned. The exclamation marks indicate factorial.
------------------------------------
To recap, there are
4512 ways to pick exactly three aces2,598,960 ways to pick five cards without any restrictionsDividing the two values gets us the final answer
4512/(2,598,960) = 0.001736079047
This value rounds to 0.00174
The probability that exactly 3 of these cards are Aces is 0.004%.
Given that five cards are drawn randomly from a standard deck of 52 cards, to determine the probability that exactly 3 of these cards are Aces the following calculation must be performed:
Each particular probability must be multiplied by each other, and its result by one hundred, to obtain the probability percentage. (3/52 x 2/51 x 1/50) x 100 = X 0.004 = X
Therefore, the probability that exactly 3 of these cards are Aces is 0.004%.
Learn more in https://brainly.com/question/821892
In November, the rain in a certain valley tends to fall in storms of several days duration. The unconditional probability of rain on any day of the month is 0.600. But the probability of rain on a day that follows a rainy day is 0.900, and the probability of rain on a day following a nonrainy day is 0.300. Find the probability of rain on November 1 and 2. but not on November 3. Find the probability of rain on November 1 and 2, but not on November 3.
Answers
Answer:
0.0594 = 5.94% probability of rain on November 1 and 2, but not on November 3.
Step-by-step explanation:
Rain on November 1:
0.9 of 0.6(rain on Oct 31).
0.3 of 0.4(not rain on Oct 31).
Rain on November 2:
Considering rain on November 1, 0.9 probability of rain.
Rain on November 3:
Considering rain on November 2, 0.1 probability of rain.
Find the probability of rain on November 1 and 2, but not on November 3.
Multiplicating the probabilities:
[tex]p = (0.9*0.6+0.3*0.4)*0.9*0.1 = 0.0594[/tex]
0.0594 = 5.94% probability of rain on November 1 and 2, but not on November 3.
The missing number in the arithmetic sequence: 20,
36, 44 is:
None of these choices are correct
26
27
28
29
Answers
Answer:
28
Step-by-step explanation:
it is missing where ?
based on the answer options I guess it is missing between 20 and 36.
if that is true, then the answer is 28.
the difference between 36 and 44 is 8.
the difference between 20 and 36 is 16.
the right answer should cut the interval of 16 into 2 parts (first logical approach to cut it in 2 halves of 8) and be related to the next interval between 36 and 44 (8).
the solution covering both considerations is the middle of the large interval = 20 + 8 = 28.
Given circle R , arc BA = 35 and arc DE= 43 what is angle BCA equal to?
Answers
a train moving at the rate of 50 km per hour in struck by a stone moving with a velocity of 40 km above are making an angle of 60 degree with the direction of the train find the velocity with which the stone appears to an observed in the train to strike
the train
Answers
Answer:
Step-by-step explanation:
the pidgeon is flying east
Consider the continuous random variable X, which has a uniform distribution over the interval from 20 to 28.
a. What’s the probability density function?
b. What’s the probability that X will take on a value between 21 and 25?
c. What’s the probability that X will take on a value of at least 26?
Answers
Answer:
a) The probability distribution is [tex]f(x) = \frac{1}{8}[/tex]
b) 0.5 = 50% probability that X will take on a value between 21 and 25.
c) 0.25 = 25% probability that X will take on a value of at least 26.
Step-by-step explanation:
Uniform probability distribution:
An uniform distribution has two bounds, a and b.
The probability of finding a value of at lower than x is:
[tex]P(X < x) = \frac{a - x}{b - a}[/tex]
The probability of finding a value between c and d is:
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
The probability of finding a value above x is:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
Uniform distribution over the interval from 20 to 28.
This means that [tex]a = 20, b = 28[/tex]
a. What’s the probability density function?
The probability density function of the uniform distribution is:
[tex]f(x) = \frac{1}{b - a}[/tex]
In this question:
[tex]f(x) = \frac{1}{28 - 20} = \frac{1}{8}[/tex]
b. What’s the probability that X will take on a value between 21 and 25?
[tex]P(21 \leq X \leq 25) = \frac{25 - 21}{28 - 20} = \frac{4}{8} = 0.5[/tex]
0.5 = 50% probability that X will take on a value between 21 and 25.
c. What’s the probability that X will take on a value of at least 26?
[tex]P(X > 26) = \frac{28 - 26}{28 - 20} = \frac{2}{8} = 0.25[/tex]
0.25 = 25% probability that X will take on a value of at least 26.
PLEASE HELP !!! WILL MARK BRAINLIEST TO WHOEVER GETS IT RIGHT !!
Answers
Answer:
0 and 1
Step-by-step explanation:
The solutions are the points of intersection, meaning that the x values must meet at those points. x=0 and x=1 meet at those points of intersection.
cho p(A)=0,5 ; p(B) = 0,3 ;p(A∩B)=0,2. Tính p(B∪A) ?
Answers
Answer:
.6
Step-by-step explanation:
BUA= A+B-A∩B
.5+.3-.2= .6
The table shows the completion times of four Horses in a race.
Horses
Time (Seconds)
Horse-3
1512
Horse-4
15.4
Horse-2
154
Horse-1
15.8
Which list shows the Horses in order by their completion times from fastest to slowest?
A. Horse-1, Horse-3, Horse-2, Horse-4
B.
Horse-4, Horse-3, Horse-2, Horse-1
C. Horse-4, Horse-2, Horse-3, Horse-1
D. Horse-1, Horse-2, Horse-3, Horse-4
Answers
Answer:
I think the answer is option B
Answer:
I think it is (b
Step-by-step explanation:
Solve the problem 35×2/7=
Answers
35 × 2/7 =
2 × 35 / 7 =
2 × 5 × 7 / 7 =
Simplify 7
2 × 5 =
10
Please help!!! It wants the x and y coordinates
Answers
Answer:
the y-coordinate will be at (0, 2.4)
the x-coordinate will be at (6, 0)
Step-by-step explanation:
y coordinate of the graph is the point where the curve cuts the y axis
According to the graph, the curve cuts the y axis at y = 2.4. Hence the y-coordinate will be at (0, 2.4)
Similarly, the x-coordinate of the graph is the point where the curve cuts the x-axis
According to the graph, the curve cuts the x-axis at x = 6. Hence the x-coordinate will be at (6, 0)
Which fraction is represented by point A on the number line?
0
А
-0 -1
о
IT
os
O 1
Answers
Here’s why: if you count from 0 to 1 or -1, it’s 4 steps. That means the fraction would have a denominator of 4, if there were 5 parts, then the denominator would be 5...and so on. The numerator is 1 because 0 to the point is 1 step. But now why negative? Because everything to the left of 0 on the number line will be negative, everything right of 0 on the number line will be positive.
Hope this also helped you to understand for future problems like this.
Marking brainliest(for correct answers)
Factor completley:
9(x-1)-(x-1)^2
Answers
hope this helps
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 7 if there were 5887 no votes what was the total number of votes
Answers
Ratio yes : no = 5 : 7 = 4205 : 5887
So total votes = 4205 + 5887
Yes vote was 5/7 of no vote
5/7 x 5887 = 4205
Jessica earned $16 mowing a neighbor’s yard. She bought a craft kit for $7.37.
She used $3.75 to buy food for a food drive. She put the rest in her savings account.
How much money did Jessica put in her savings account?
Answers
Answer:
Jessica put $4.88 into her savings account.
Step-by-step explanation:
First, you'll add up how kuch she has spent.
7.37 + 3.75 = 11.12
Secondly, you'll subtract 11.12 from 16.
16 - 11.12 = 4.88
PLEASE HELP GEOMETRY!!!!
Solve for x in the diagram shown.
A) 3.2
B) 6.6
C) 8
D) 20
Answers
9514 1404 393
Answer:
A) 3.2
Step-by-step explanation:
In this geometry, all of the right triangles are similar. This means side lengths are proportional:
short side/hypotenuse = x/8 = 8/20
x = 8×8/20 = 64/20
x = 3.2
Is -5/250 a rational number
Answers
Answer:
Hello There!!
Step-by-step explanation:
The answer is that=>Yes It is a rational number.
hope this helps,have a great day!!
~Pinky~
Answer:
Yes.
Step-by-step explanation:
A rational number is any number that can be written as a fraction. These include whole numbers, fractions, decimals that end, and decimals that repeat. Positive and negative do not affect rationality.
a cone has a volume of 374 cubic inches and a height of 4 inches
Answers
Answer:
1496 cubic inches
Step-by-step explanation:
What is the answer?
Answers
Plss help Give brainiest if right!
One pipe can fill the pool in 6 hours. The second pipe can drain
the pool in 18 hours. How long will it take to fill the pool if the
two pipes are both working?
Answers
Answer:
Will take 8hrs.
Step-by-step explanation:
if pipe 1 takes 6 hrs then the 2nd pipe drains it 3x slower
Which means pipe 1 will take 1 hr slower every 3 hrs taken
and will be at ratio 3:2 for when pipe 2 is used
6 + 2 = 8 (hrs)
Will take 8hrs.
triangle ABC has angle measures as shown.
A) what is the value of x? show your work.
B) what is the measure of angle C? show your work.
Answers
Answer:
12°
Step-by-step explanation:
Sum of interior angles of the triangle is 180°:
m∠A + m∠B + m∠C = 180°
3x + 28° + 5x + 52° + 2x - 10° = 180°
10x + 70° = 180°
10x = 110°
x = 11°
Find the measure of angle C:
m∠C = 2x - 10° = 2(11°) - 10° = 22° - 10° = 12°
Answer:
Step-by-step explanation:
(2x - 10)° + (5x + 52)° + (3x + 28)° = 180°
10x + 70 = 180
x = 11
m∠C = [ 2(11) - 10 ]° = 12°
which number is 3/8closet to
Answers
Answer:
616
Step-by-step explanation:
A fraction that is equivalent to 38 is 616