Answer:
62.8318531
10 x 2 = 20 so 20 is the diameter
20 x pi = 62.8318531
Hope this helps
Step-by-step explanation:
The exact circumference of a circle that has a radius of 10 cm is 62.8318531
What is the circumference of the circle?The circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.
The circumference of the circle = 2πr
Given that circle that has a radius of 10 cm
The circumference is given by
C = 2πr
= 2π10
= 20π
10 x 2 = 20
Therefore, 20 is the diameter
So, 20 x π = 62.8318531
Learn more about circumference here;
brainly.com/question/12512221
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A store carries four brands of DVD players, J, G, P and S. From past records, the manager found that the relative frequency of brand choice among customers varied. Using the given probability values for each of the four brands, find the probability that a random customer will choose brand J or brand P.
Answer:
The answer is below
Step-by-step explanation:
A store carries four brands of DVD players, J, G, P and S. From past records, the manager found that the relative frequency of brand choice among customers varied. Using the given probability values for each of the four brands, find the probability that a random customer will choose brand J or brand P.
P(J)=0.22, P(G)=0.18, P(P)=0.35, P(S)=0.25
Answer: Probability is the ration of possible outcomes to the total number of possible outcomes. The probability of mutually exclusive events i.e. events that cannot occur at the same time is the sum of their individual probabilities. If two events A and B are mutually exclusive events, then:
P(A or B) = P(A) + P(B)
Given that P(J)=0.22, P(G)=0.18, P(P)=0.35, P(S)=0.25, the probability that a random customer will choose brand J or brand P is given by:
P(J or P) = P(J) + P(P) = 0.22 + 0.35 = 0.57
A group of 4 friends are posing for a photograph. If 2 of the friends want to stand beside each other, how many ways can the picture be taken? 6,10,12,20
Answer:
6
Step-by-step explanation:
If 2 of the friends wants to stand beside each other, we can take these 2 friends like 1 option and calculated the number of ways, using the rule of multiplication as:
__ 3_____ * ____2_____ *____1____ = 6
1st place 2nd place 3rd place
Because we have 3 options (2 friends and the friends that are beside each other) for the first place of the picture, 2 options for the second and 1 option for the third.
In the diagram, ∠ADE ≅ ∠ABC. The ratios and are equal.
Answer:
[tex]\frac{AD}{AB} = \frac{AE}{AC} = \frac{DE}{BC}[/tex]
Step-by-step explanation:
According to the given situation, as we know that the triangle which is ADE and triangle which is ABC are the same
. (as in the diagram)
So, the ratio of their corresponding sides are the same or an equal so that it can be reached at the truth which is here below:
[tex]\frac{AD}{AB} = \frac{AE}{AC} = \frac{DE}{BC}[/tex]
With the help of a diagram, we can better understand which has been attached.
The ratios AD : DB and AE : EC are equal.
What are the solutions of the equation x^4 + 6x^2 + 5 = 0? Use u substitution to solve.
Answer:
second option
Step-by-step explanation:
Given
[tex]x^{4}[/tex] + 6x² + 5 = 0
let u = x², then
u² + 6u + 5 = 0 ← in standard form
(u + 1)(u + 5) = 0 ← in factored form
Equate each factor to zero and solve for u
u + 1 = 0 ⇒ u = - 1
u + 5 = 0 ⇒ u = - 5
Change u back into terms of x, that is
x² = - 1 ( take the square root of both sides )
x = ± [tex]\sqrt{-1}[/tex] = ± i ( noting that [tex]\sqrt{-1}[/tex] = i ), and
x² = - 5 ( take the square root of both sides )
x = ± [tex]\sqrt{-5}[/tex] = ± [tex]\sqrt{5(-1)}[/tex] = ± [tex]\sqrt{5}[/tex] × [tex]\sqrt{-1}[/tex] = ± i[tex]\sqrt{5}[/tex]
Solutions are x = ± i and x = ± i[tex]\sqrt{5}[/tex]
Which of the following are steps in practical problem solving? Solve the sentence for the variable. Assign an identifying variable to the quantity to be found. Make a guess at the value of the variable. Write a sentence stating conditions placed on the quantity. Check if the value is correct.
Answer:
A, B and D
Step-by-step explanation:
Following are steps in practical problem solving:
=> Assign an identifying variable to the quantity to be found.
=> Write a sentence stating conditions placed on the quantity.
=> Solve the sentence for the variable.
Answer:
Assign an identifying variable to the quantity to be found.
.Write a sentence stating conditions placed on the quantity.
Solve the sentence for the variable.
What is the equivalent radian measure of 540°?
1
radians
3
radians
radians
3
3x radians
DONE
Answer: 3π
I don't see 3π in your answer choices, but I'm assuming the "3x" is supposed to be 3π.
Step-by-step explanation:
To convert from degrees to radians, you multiply by π/180.
[tex]540*\frac{\pi }{180} =3\pi[/tex]
a) y = 5x
What happens to the value of y if the value of x doubles?
Select your answer.
A: x2
B: x5
C: divide by 2
D: divide by 5
Answer:
x2
Step-by-step explanation:
In 5x, 5 is a constant and therefore if we double x we will double 5 too.
Add the sum of (−5.4) and 8.2 to the opposite of (−2 3/4 ).
Answer:2
Step-by-step explanation:
-5.4+8.2=14/5 and then opposite of -2 3/4 is 2.
Geometry -true or false- After we prove that a theorem is true it becomes a definition
Answer:
False
Step-by-step explanation:
A definition produces out of nothing a new mathematical entity. But a theorem utilizes some relation between previously defined mathematical entities.
Usually a theorem must be verified by a proof of its correctness on the basis of generally accepted statements or on the basis of previously established statements which might include other theorems.
In 1860, gingham cloth sold for
$0.25 per yard. Mrs. Olsen bought
16.4 yards to make clothes for her
whole family. How much did she
spend on cloth?
Answer:65.6
Step-by-step explanation:
So $0.25 per yard
16.4/$0.25=65.6
Here are the 30 best lifetime baseball batting averages of all time, arranged in
order from lowest to highest:
0.329, 0.330, 0.331, 0.331,0.333, 0.333, 0.333, 0.334, 0.334, 0.334, 0.336,
0.337, 0.338, 0.338, 0.338, 0.340, 0.340, 0.341, 0.341, 0.342, 0.342, 0.342,
0.344, 0.344, 0.345, 0.346, 0.349, 0.356, 0.358, 0.366
A stemplot is one way to display these batting averages, as shown below. In
this type of display, the entry 0.3616 denotes one occurrence of the batting
average
0.3219
0.33 011 3 3 3 4 4 4-6 7 8 8 8
0.34 100 1 1 2 2 2 4 4 5 6 9
0.35 168
0.3616
JEET
O A. 0.360
OB. 0.336
O C. 0.3606
O D. 0 366
Answer:
D. 0.366
Step-by-step explanation:
Hello!
A stemplot is a way of arranging a data set.
In the stem you'll find the integer and first two decimal digits of the batting average, because these values are repeated several times.
In the leafs you'll find the third decimal digit.
So for the first value of the stem "0.32" there is only one observation:
0.329 ⇒ 0.32 | 9
For the second value "0.33" correspond 14 observations: 0.330, 0.331, 0.331,0.333, 0.333, 0.333, 0.334, 0.334, 0.334, 0.336, 0.337, 0.338, 0.338, 0.338
0.33 | 0, 1, 1, 3, 3, 3, 4, 4, 4, 6, 7, 8, 8, 8
For the third value "0.34" correspond 12 observations: 0.340, 0.340, 0.341, 0.341, 0.342, 0.342, 0.342, 0.344, 0.344, 0.345, 0.346, 0.349
0.34 | 0, 0, 1, 1, 2, 2, 2, 4, 4, 5, 6, 9
For the fifth value "0.35" and the sixth value "0.36" there is only one observation, so, as happened with the first one, these values of the stem will only have one "leaf"
0.358 ⇒ 0.35 | 8
0.366 ⇒ 0.36 | 6
So the whole stem plot for this 30 observations is:
Stem | Leafs
0.32 | 9
0.33 | 0, 1, 1, 3, 3, 3, 4, 4, 4, 6, 7, 8, 8, 8
0.34 | 0, 0, 1, 1, 2, 2, 2, 4, 4, 5, 6, 9
0.35 | 8
0.36 | 6
Considering this, the correct option is D
I hope this helps!
Samuel wants to estimate what 5843 x .00243 is. What should his first step be?
Tyrone played 18 holes of golf and had the same score on each of the first 14 holes. He then had the same score on each of the next four holes. His score on the first 14 holes was –42 and his final score was –34. Which describes Tyrone's score on each hole?
Complete Question :
In golf, a score below zero is “under par” and a score above zero is “over par.”
Tyrone played 18 holes of golf and had the same score on each of the first 14 holes. He then had the same score on each of the next four holes. His score on the first 14 holes was –42 and his final score was –34. Which describes Tyrone’s score on each hole?
A. He scored 3 under par on each of the first 14 holes and 2 over par on each of the next four holes.
B. He scored 3 under par on each of the first 14 holes and 2 under par on each of the next four holes.
C. He scored 3 under par on each of the first 14 holes and 4 over par on each of the next four holes.
D. He scored 3 under par on each of the first 14 holes and 4 under par on each of the next four holes.
Answer: A. He scored 3 under par on each of the first 14 holes and 2 over par on each of the next four holes.
Step-by-step explanation:
Given that :
a score below zero is “under par” and a score above zero is “over par.”
Same score on each of the first 14 holes
Total score on first 14 holes = - 42
Therefore, score on each hole = ( total score / number of holes)
= - 42/14 = - 3
Negative signifies that it is 'under par'
Score on each of the next four holes is also the same.
Therefore, total score on next four holes :
(final score - total score on first 14 holes)
(-34 - (-42))
(-34 + 42) = 8
Total score on next four holes = 8
Score on each hole = 8/4 = 2
Positive score means he scored over par
Answer:
a
Step-by-step explanation:
I did quiz
solve for x. 5x+9=24
Answer: x=3
Step-by-step explanation:
5x+9 =24 subtract 9 from both sides
-9 -9
5x = 15 Divide both sides by 5
x = 3
Answer:
[tex]5x = 24 - 9 \\ 5x = 15 \\ x = \frac{15}{5} \\ x = 3[/tex]
if a truck starts from rest and its has acceleration of 4m/s 2. for second ,calculate its final velocity .what will be the distance travelled by the truck during the time interval?
Answer:
The answer is given below
Step-by-step explanation:
Let us assume the truck accelerates for 4 seconds.
Given that:
Initial velocity (u) = 0 (starts from rest),
acceleration (a) = 4 m/s²
time (t) = 4 s
Final velocity (v) = ?,
Distance (s) = ?
To calculate the final velocity, we use the formula:
v = u + at
Substituting values gives:
v = 0 + 4(4)
v = 0 + 16
v = 16 m/s
The final velocity is 16 m/s²
To calculate the distance traveled by the truck, we use the equation:
[tex]s=ut+\frac{1}{2}at^2\\ Substituting\ values\ into\ the\ equation:\\s=0(4)+\frac{1}{2}(4)(4)^2\\s=0+2(16)\\s=0+32\\s = 32\ meters[/tex]
The distance traveled by the truck during the time interval is 32 meters
Please help me. 10 points
Simply t^12/t^6
Answer:
The answer is option B
Step-by-step explanation:
t^12/t^6
Use the rules of indices.
Since they have the same base and they are dividing we subtract the exponents.
That's
t^12 - 6
= t^6
Hope this helps you
Answer:
[tex] {t}^{6} [/tex]Option B is the right option.
Solution,
[tex] \frac{ {t}^{12} }{ {t}^{6} } \\ = {t}^{12 - 6} \\ = {t}^{6} [/tex]
Explanation:
To divide expression with same base, we copy the base and subtract the indices.
Hope this helps...
Good luck on your assignment..
The segments shown below could form a triangle.
Answer:
B. False
Step-by-step explanation:
In order for segments to form a triangle, the sum of the lengths of the shorter two must be at least as much as the length of the longest one.
The sum of the shorter two is 6 + 5 = 11. This is not as great as 12, the length of the longest one, so no triangle can be formed.
What is the height, x, in the triangle below? A. 2√5 B. 5 C. 5√2 D. 10
Answer:
D:10
Step-by-step explanation:
find hyp. first
sin 45=opp/hyp.
√2/2=10/hyp.
hyp.=20/√2 0r 10√2
Pythagorean theorem: a²+b²=c²
now find x²=(10√2)²-10²
x²=200-100
x²=100
x=√100=10
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
ANSWER A
Step-by-step explanation:
Answer:
it has a horizontal asymptote at y=O
Step-by-step explanation:
answer is A.
because A linear parent function is the equation y = x or f(x) = x.
If the polynomial in the numerator is a lower degree than the denominator, the x-axis (y = 0) is the horizontal asymptote.
Why does the second part of the problem cos x turns into cos x^2 explain the problem.
Step-by-step explanation:
It's not cos x^2
[tex]\cos^2x\neq\cos x^2[/tex]
----------------------------------------------
[tex]\cos x-\dfrac{\sin x\sin x}{\cos x}=\dfrac{\cos x\cos x}{\cos x}-\dfrac{\sin x\sin x}{\cos x}=\dfrac{\cos^2-\sin^2x}{\cos x}[/tex]
It's the same as
[tex]3-\dfrac{2}{3}=\dfrac{3\cdot3}{3}-\dfrac{2}{3}=\dfrac{3^2-2}{3}[/tex]
Translate the sentence into an inequality. Eight times the sum of a number and 20 is greater than or equal to 25. Use the variable y for the unknown number.
Answer:
8x + 20 ≥ 25
Step-by-step explanation:
Well 8 times the sum of a number "x" plus 20,
So we can write the following,
8x + 20
and that should be greater than or equal to 25
8x + 20 ≥ 25
Thus,
as an inequality it is 8x + 20 ≥ 25.
Hope this helps :)
Which two consecutive whole numbers does 39 lie between? Why?
5 and 6 because 39 falls between 52 = 25 and 62 = 36.
4 and 6 because 39 falls between 42 = 16 and 62 = 36.
6 and 7 because 39 falls between 62 = 36 and 72 = 49.
5 and 7 because 39 falls between 52 = 25 and 72 = 49
Answer:
Step-by-step explanation:
6 and 7
Mei Su had 80 coins. She gave most of them to her friends in such a way that each of her friends got at least one coin and no two of her friends got the same number of coins. What is the largest number of friends to whom Mei Su could have given coins?
Answer: 12 friends.
Step-by-step explanation:
the data we have is:
Mei Su had 80 coins.
She gave the coins to her friends, in such a way that every friend got a different number of coins, then we have that:
The maximum number of friends that could have coins is when:
friend 1 got 1 coin
friend 2 got 2 coins
friend 3 got 3 coins
friend N got N coins
in such a way that:
(1 + 2 + 3 + ... + N) ≥ 79
I use 79 because "she gave most of the coins", not all.
We want to find the maximum possible N.
Then let's calculate:
1 + 2 + 3 + 4 + 5 = 15
15 + 6 + 7 + 8 + 9 + 10 = 55
now we are close, lets add by one number:
55 + 11 = 66
66 + 12 = 78
now, we can not add more because we will have a number larger than 80.
Then we have N = 12
This means that the maximum number of friends is 12.
Answer:
12
Step-by-step explanation:
my
In still water, a boat averages 18 miles per hour (mph). It takes the same amount of time to travel 33 miles downstream (with the current) as it takes to travel 21 miles upstream (against the current). What is the rate of the water's current
Answer:
The rate of the water current is 4mph
Step-by-step explanation:
Let c= the rate of the current in mph
18+c= the rate of the boat going downstream in mph
18-c= the rate of the boat going upstream in mph
t = time in hrs for both upstream and downstream trips
Going downstream:
33=(18+c)*t (1)
Going upstream
21=(18-c)*t (2)
From (1)
33=(18+c)*t
t=33/1(8+c)
Substitute t=33/(18+c) into (2)
21=(18-c)*t
21=(18-c)*33/(18+c)
Cross product
21(18+c)=33(18-c)
378+21c=594-33c
21c+33c=594-378
54c=216
Divide both sides by 54
54c/54=216/54
c=4
Therefore,
The rate of the water current is 4mph
PLEASE HELP IMA MARK BRAINLIST
Answer:
53
Step-by-step explanation:
Explicit Formula: an = a1 + d(n - 1)
Simply plug in your known variables:
an = 8 + 3(n - 1)
Then plug in 16 for n:
a(16) = 8 + 3(16 - 1)
a(16) = 8 + 3(15)
a(16) = 8 + 45
a(16) = 53
Answer:
53
Step-by-step explanation:
an = dn + (a - d)
an = 3n + 8 - 3
an = 3n + 5
Put n as 16 and solve.
3(16) + 5
48 + 5
= 53
find x.
help please !!
Answer:
x = 95°
Step-by-step explanation:
[tex]x = ?\\Sum -of- interior -angles=?\\Shape = pentagon\\No -of - sides= 5\\Sum- of- interior- angles = (n-2)180\°\\=(5-2)\times180\°\\3\times180\°\\Sum-of-interior-angles=540\°\\104\°+117\°+100\°+124\°+x\°=540\°\\445\°+x\° = 540\°\\x\° = 540\°-445\°\\x = 95\°[/tex]
Wyatt solved the following equation:
x + 1/2 (6x − 4) = 6
it due today!!! I will give the first answer brainliest.
Answer:
x = 2
Step-by-step explanation:
x + 1/2 (6x - 4) = 6
Expand the brackets.
x + 3x - 2 = 6
Add like terms.
4x - 2 = 6
Add 2 on both sides.
4x = 6 + 2
4x = 8
Divide 4 into both sides.
x = 8/4
x = 2
Answer:
x=5/4
Step-by-step explanation:
It takes 6 hours to reach London from Minneapolis. Amanda took a flight to London from Minneapolis and reached at 7:15 pm London time. At what time did she depart Minneapolis at London time?
i will mark as brainliest
please explain I will mark as brainliest
Answer:
1:15 pm
Step-by-step explanation:
It takes 6 hours to reach London from Minneapolis and she reached Minneapolis at 7:15pm so
7:15 - 6 = 1:15
WILL MARK BRAINLIEST PLEASE HELP ME! In a complete sentence, describe the angle relationship between ∠APD and ∠CPB. Then write and solve an equation based on the relationship you identified in order to find the measure of ∠APD.
Answer:
∠APD and ∠CPB are Vertical Angles
Equation: 6x - 10 = 4x + 8
Step-by-step explanation:
We use the Vertical Angles Theorem to solve for x:
Step 1: Set up equation
6x - 10 = 4x + 8
Step 2: Subtract 4x on both sides
2x - 10 = 8
Step 3: Add 10 to both sides
2x = 18
Step 4: Find x by dividing 2 on both sides
x = 9
Step 5: Plug in x for 9 to find degree measure
m∠CPB = 4(9) + 8
m∠CPB = 36 + 8
m∠CPB = 44°
m∠CPB = m∠APD (Vertical Angles)
m∠APD = 44°
Answer:
[tex]\boxed{\mathrm{view \: explanation}}[/tex]
Step-by-step explanation:
∠APD and ∠CPB are vertically opposite angles
The equation is 6x-10=4x+8
[tex]6x-10=4x+8\\6x-4x=8+10\\2x=18\\x=9[/tex]
Plug x as 9 for the angle.
[tex]4(9)+8\\36+8\\44[/tex]
∠APD and ∠CPB = 44 degrees
Please answer quick!!
Answer:
mBC = 96°
mB = 55°
mC = 77°
mAB = 154°
Step-by-step explanation:
The angle mB inscribes the arc mAC, so we have:
[tex]mB = mAC / 2[/tex]
[tex]mB = 110 / 2 = 55\°[/tex]
The sum of internal angles of a triangle is 180°, so in the triangle ABC we have:
[tex]mA + mB + mC = 180[/tex]
[tex]48 + 55 + mC = 180[/tex]
[tex]mC = 180 - 48 - 55[/tex]
[tex]mC = 77\°[/tex]
Using again the property of inscribed angles, we have:
[tex]mAB = 2*mC = 154\°[/tex]
[tex]mBC = 2*mA = 96\°[/tex]