Answer:
3.590ft
Step-by-step explanation:
We know what the circumference of the circle is, and we need to find its diameter. Therefore, we need to find an equation that links the two together.
Well, what comes to mind is the fact that the circumeference, [tex]c[/tex], is equal to [tex]\pi[/tex] multiplied by the diameter, [tex]d[/tex]. We can express this like so:
[tex]c = \pi d[/tex].
In this scenario, we know what [tex]c[/tex] is, so we need to rearrange the formula to make [tex]d[/tex] the subject. Dividing both sides by [tex]\pi[/tex] will accomplish this, and gives us:
[tex]\frac{c}{\pi} = d[/tex].
So if we divide the circumference by [tex]\pi[/tex], we will find the diamater. Well,
[tex]\frac{11.277}{\pi} = 3.58958...[/tex]
and so to 3 decimal places we get the answer
[tex]d = 3.590\text{ft}[/tex].
Security A rounds every 2 minutes and 20 seconds in the gate 1. Security B rounds every 1 minute and 40 seconds in the gate 2. If they conduct rounds at the same time. After how many minutes they will rounds together again?
Answer:
[tex]Time = 11\frac{2}{3}\ min[/tex]
Step-by-step explanation:
Given
[tex]Security\ A = 2\ mins, 20\ secs[/tex]
[tex]Security\ B = 1\ mins, 40\ secs[/tex]
Required
After how many minutes, will they round together
First, convert the given time to minutes
[tex]Security\ A = 2\ mins, 20\ secs[/tex]
[tex]Security\ A = 2\ mins+ 20\ secs[/tex]
[tex]Security\ A = 2\ mins+ \frac{20}{60}\ min[/tex]
[tex]Security\ A = 2\ mins+ \frac{1}{3}\ min[/tex]
[tex]Security\ A = 2\frac{1}{3}\ min[/tex]
[tex]Security\ B = 1\ mins, 40\ secs[/tex]
[tex]Security\ B = 1\ mins+ 40\ secs[/tex]
[tex]Security\ B = 1\ mins+ \frac{40}{60}\ min[/tex]
[tex]Security\ B = 1\frac{2}{3}\ min[/tex]
So, we have:
[tex]Security\ A = 2\frac{1}{3}\ min[/tex]
[tex]Security\ B = 1\frac{2}{3}\ min[/tex]
List out the multiples of the time of both security personnel take round.
[tex]Security\ A = 2\frac{1}{3}min,\ 4\frac{2}{3}min,\ 7min,\ 9\frac{1}{3}min,\ 11\frac{2}{3}min...[/tex]
[tex]Security\ B = 1\frac{2}{3}min,\ 3\frac{1}{3}min,\ 5min,\ 6\frac{2}{3}min,\ 8\frac{1}{3}min,\ 10min\ ,11\frac{2}{3}min,...[/tex]
In the above lists, the common time is:
[tex]Time = 11\frac{2}{3}\ min[/tex]
This implies that they go on round after [tex]11\frac{2}{3}\ min[/tex]
a+b=10, c+d=18, a+c=12, b+d= 16. find the value of A,B,C and D?
Answer:
1
5
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If a+b=8, b+c=10 and c+a=12, what is the value of a+b+c?
Answer
12
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Patrick Ivers, former mathematics & English instructor
Answered June 26, 2018
If a+b=8, b+c=10 and c+a=12, what is the value of a+b+c?
The puzzle is solved by defining each variable in terms of another variable & a number & then making substitutions. Begin by taking each sum to define one of the variables in terms of the other. (Different combinations are available, but I’ll follow the a,b,c order.)
a+b=8 becomes a=8-b
b+c=10 becomes b=10-c
c+a=12 becomes c=12-a
Now subtract two of the equations that contain the same variable. I’ll pick two that contain an a: c+a =12 & a+b=8. Subtracting the latter from the former eliminates the “a”s, leaving c-b=4. Adding b to both sides to isolate c gives c=b+4. From above we can take b=10-c to substitute for b in c=b+4, giving us c=(10-c) + 4). Simplify the right side to c=14-c, add c to both sides, giving 2c=14, & then divide both sides by 2 to obtain c=7.
Replace the c in b=10-c with 7 to
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Related Answer
Paul K. Young, Former PhD candidate in Mathematics
Answered September 28, 2016
If A = B and B = C, does A = C?
In mathematics = is assumed to be a transitive relationship. Transitivity means precisely what you stated: A = B and B = C implies A = C.
While it’s possible to use = to represent a non-transitive relationship this would be considered an abuse of notation. A ~ B or R(A, B) would be a better way to express the relation in this case.
Similar assumptions are made about operators like + and *. + is generally assumed to be commutative, whereas * can be used for noncommutative operations like matrix multiplication. E.g. A * B != B * A.
Equality in programming is another story entirely.
In many languages = is the assignment operator and == is the equality operator. Assignment is not transitive - it’s not even a relation.There are cases where the equality operator doesn’t define a transitive relation.
Work out the circumference of this circle with radius 7.5cm
Take pi to be 3.142
Answer:
15pi cm or 47.12
Step-by-step explanation:
Radius= 7.5cm
7.5 x 2 = 15
diameter= 15cm
circumference = pi x diameter
circumference= pi x 15
=15pi cm or 47.12
Help person right gets brainlist
Plz help me! I’m not sure how to do these!
Answer:
Step-by-step explanation:
Wait where is the picture
Suppose that c is a number for which the equation c÷c = 1 is false. What is c?
Answer:
Hope it help
Mark me as brainliest
Step-by-step explanation:
Pls help I’ll brainlest
Answer:
8
Step-by-step explanation:
Jeremiah bought x toy sets for $20 each and then a video game for $60. Jeremiah spent a total of $220. How may toy sets did he buy?
To find our answer, we can solve the equation:
20x + 60 = 220
-60 -60
20x = 160
/20 /20
x = 8
Jeremiah bought 8 toy sets!
I hope this helps :)
ABCD∼EFGH
The value of x is
Answer
didn't know there was an image
A company produces two types of jackets; windbreakers and rainbreakers. The company has at most 61 hours of finishing time per week and 67 hours of packaging time per week. Each windbreaker jacket takes 59 minutes of finishing time and 21 minutes of packaging time per week, whereas each rainbreaker jacket takes 58 minutes of finishing time and 34 minutes of packaging time per week. The company's profit for each windbreaker and rainbreaker jacket is 28 and 41, respectively. Let x denote the number of windbreaker jackets they should produce and y denote the number of rainbreaker jackets they should produce. The company wants to maximize profit. Set up the Linear Programming Problem for this situation.
Answer:
Max p = 28x + 41y
Subject to
59x + 58y ≤ 3660
21x + 34y ≤ 4020
x ≥ 0, y ≥ 0
Step-by-step explanation:
As given ,
Windbreakers Rain breakers Total
Finishing time 59 min 58 min 61 hr
Packaging time 21 min 34 min 68 hr
Profit 28 41
Let
The number of windbreaker jackets they should produce = x
The number of rain breaker jackets they should produce = y
As given,
The company wants to maximize profit.
⇒ Maximum Profit , p = 28x + 41 y
Now,
As 1 hour = 60 min
⇒61 hours = 61×60 = 3660 min
and 67 hours = 67×60 = 4020 min
∴ we get
The equations become
59x + 58y ≤ 3660
21x + 34y ≤ 4020
x ≥ 0, y ≥ 0
So, the Linear Programming Problem (LPP) for this problem is -
Max p = 28x + 41y
Subject to
59x + 58y ≤ 3660
21x + 34y ≤ 4020
x ≥ 0, y ≥ 0
By eating 1 egg, 1 cupcake, and 1 slice of pizza, a child consumes 300 mg of cholesterol. If the child eats 3 cupcakes and 4 slices of pizza, he or she takes in 86 mg of cholesterol. By eating 2 eggs and 1 cupcake, a child consumes 566 mg of cholesterol. How much cholesterol is in each item?
Answer:
cholesterol in egg= 273 mg
cholesterol in cupcake = 18 mg
cholesterol in slice of pizza = 9 mg
Step-by-step explanation:
Given data:
1 egg , 1 cupcake , 1 slice of pizza = 300mg
3 cupcakes , 4 slices of pizza = 90mg
2 eggs , 1 cupcake = 564mg
Let egg be x , let cupcake be y and let pizza be y
x + y + z = 300 (equation 1)
0x + 3y + 4z = 90 (equation 2)
2x + y + 0z = 564 (equation 3)
Using equation 1 and equation 2
x + y + z = 300 (Multiply equation by 3)
0x + 3y + 4z = 90
3x + 3y +3z =900
0x +3y +4z = 90 (Subtracting the equations)
3x - z = 810 (equation 4)
Using equation 2 and equation 3
0x + 3y + 4z = 90
2x + y + 0z = 564 (Multiply equation by 3)
0x + 3y + 4z = 90
6x +3y + 0z = 1692 (Subtracting the equations)
-6x +4z =-1602 (equation 5)
Solving equation 4 and equation 5
3x - z = 810 therefore z =3x -810
Substituting z into equation 5
-6x +4(3x - 810) =-1602
-6x + 12x - 3240 = -1602
6x = -1602+3240
6x = 1638
x = 273
Substituting x into z = 3x - 810
z = 3(273) - 810
z = 819-810
z = 9
Using equation 1 to find y
x + y + z = 300
273 + y + 9 = 300
282 + y = 300
y = 300-282
y = 18
Use basic facts and place value to find the quotient.
450 • 9 =
Your answer
a bacteria culture doubles every 3 minutes. if 400 bacteria started, how long will it take before there are 2000 in the culture?
Answer:
15 minutes
Step-by-step explanation:
400 to 2000(x5)
so, 3 times 5 is equal to 15 min
Which of the following are accurate factors of 4x2 + 5.0 – 21 when multiplied together? Select the two correct answers.
(2 points)
(40 - 7)
0 (x + 2)
(52 -3)
0 (+3)
Answer:
First and last
Step-by-step explanation:
(4x - 7) (x + 3)
FOIL
4x^2 + 5x - 21
what is the additive inverse of the complex number -8+3i
Answer:
8-3i
Step-by-step explanation:
additive inverse of a+bi is -(a+bi)
so -(-8+3i) -- distribute negative through ()
8-3i
Jon borrows $8.75 from his friends to pay
for snacks, and $13.50 from his sister to go
to the movies. How much money does he
need to repay?
Find the slope of the line for the angle.
330 degrees
MARKING BRAINLIEST
Which sentence is an example of an objective summary from Cynthia Crossen's "A Culinary Wasteland"?
A. Furthermore, Mr. Schlosser's appraisal is not comprehensive but a hodgepodge of impressions, statistics, anecdotes and prejudices.
B. As a stickler about statistics, I was disturbed by Mr. Schlosser's cavalier manipulation of data, which produced some startling — and, frankly, unbelievable — "facts."
C. Americans are addicted to cheap, bad food, he argues, and like all addictions, this one exacts broad and often unseen costs from the community.
D. Taking individual responsibility for one's impact on the global economy is far more complicated than just saying no to fast food, as Mr. Schlosser advises.
Which of the following lines goes through the point (0,4) and is parallel to y = 5 x - 3?
M
O =
y = 5 x + 4
W
y= 5 x-7
y = -5 X-3
en una rampa inclinada un ciclista avanza una distancia horizontal de tan solo 77 metros ¿cuál es la altura en metros de esa rampa
Answer:
English?
Step-by-step explanation:
Out of these, which is not an inequality?
a. 435 ≥ 5p + 4
b. g - 7 < 100
c. 18x + 9y
d. a > 6b
Answer:
C. 18x+9y
Step-by-step explanation:
Answer:
I think its the third one, C. Hope this helps!
Yoshi has a rope 30 feet long. He must cut it in pieces that are 1/4 foot long will he get more or fewer than 30 pieces
Answer:
More
Step-by-step explanation:
If we divide 30 by .25 we will get 120
Which statement describes the graph
Answer:
Your answer is A
Step-by-step explanation:
I hope I helped :)
Home Depot sells an $1850 gas grill on the installment plan. The installment agreement includes a 20% down payment and 12 monthly payments of $160.
What is the total cost of the grill on the installment plan?
Answer:
Total cost of the grill installment plan = 2290
Step-by-step explanation:
370 + 1920 = 2290
Which expression is equivalent to 2(3 - x) - 12 + 4x
1. 3x - 6
2. 3x - 7
3. 2x - 6
4. 2x - 7
y=−2x+1
x−3y=11 find the solution using elimination.
Answer:
Step-by-step explanation:
Using first equation in the second gives you
x-3(-2x+1)=11
x+6x-3=11
7x-3=11
7x=14
x=2, making y=-2x+1 become
y=-2(2)+1
y=-4+1
y=-3 so the solution is the point
(2,-3)
help me me me me pls
Answer:
"C" is the answer to that question
Answer:
C
Explanation:
Because I say so
i need help with finding slopes from graphs
Y=2+-4x
Step-by-step explanation:
Hope ot helps
Find the measure of Angel 1 and 2.
Malcolm buys a 5/6-pound bag of black beans and a 3/4-pound bag of pinto
Answer:
1 7/12Step-by-step explanation:
I think that you want to know how many total pounds of beans do you have.
Well, to find this, simply find the LCM of 6 and 4. That is 12.
So convert the fractions to have a denominator of 12.
10/12, 9/12
Now add:
(10+9)/12 = 19/12 = 1 7/12
Pls help 20 points this question is for my friend
Answer:
750 cubic feet
Step-by-step explanation: