The value of π can be written with upper and lower limits as -
3.12 ± 0.062.
What are significant figures?Significant figures of a number in positional notation are digits in the number that are reliable and necessary to indicate the quantity of something.
Given is that Helen draws a random circle, she then measures the circumference and diameter. She gets a circumference {C} of 405mm correct to 2 significant figures She gets a diameter {D} of 130mm correct to 2 significant figures.
We can write -
Circumference {C} = (405 ± 2) mm
Diameter {D} = (130 ± 2) mm
The value of π can be calculated as -
π = {C}/{D}
π = (405 ± 2)/(130 ± 2)
Now, divide the numbers without errors first -
405/130
3.12
Now, we will calculate the relative errors in each number -
2/405 = 0.004
2/130 = 0.016
Adding the relative errors -
0.004 + 0.016
0.02
Absolute error = 0.02 x 3.12 = 0.062
The value of π can be written with upper and lower limits as -
3.12 ± 0.062
Therefore, the value of π can be written with upper and lower limits as -
3.12 ± 0.062.
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Let a = (2, 1, 0), b = (3, -1, 2), c = (4, 0, 3)
Find the volume of the parallelopiped with sides a, b and c.
The volume of the parallelopiped is 14 cubic units
What is the volume of a parallelopiped?The volume of a parallelopiped with vector sides a, b and c is given by
V = (a × b).c
Given that the parallelopiped has sides
a = (2, 1, 0)b = (3, - 1, 2) and c = (4, 0, 3)So, we have that
(a × b) = (2, 1, 0) × (3, -1, 2) = (2 × 3)i × i + (2 × -1)i × j + (2 × 2)i × k + (1 × 3)j × i + (1 × -1)j × j + (1 × 2)j × k + (0 × 3)k × i + (0 × -1)k × j + (0 × 2)k × k
Since
i × i = 0, j × j = 0, k × k = 0, i × j = k, j × i = -k, j × k = i, k × j = -i, k × i = j, i × k = -j,So,
(a × b) = (2, 1, 0) × (3, -1, 2) = (6) × 0 + (-2)k + -(4)j + 3i + (-1) × 0 + (2)i + -(3)j + -(0)i + (0) × 0
= 0 -2k - 4j + 3i + 2i - 3j - 0 + 0
= 5i -7j - 2k
= (5, -7, -2).
Since (a × b) = (5, -7, -2)
So, the volume of the parallelopiped is
V = (a × b).c
= (5, -7, -2).(4, 0, 3)
= 5 × 4 + (-7 × 0) + (-2 × 3)
= 20 - 0 - 6
= 14.
So, the volume is 14 cubic units.
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can someone help NO LINKS PLEASE or i will literally report you lol
Answer:
Rectangular Prism Volume = [tex]210cm^{3}[/tex]
Total Volume of Composite Figure = [tex]247.68cm^{3}[/tex]
Please help will mark
Answer:
this is the graph and just find the slope each equation
Which of the following best approximates the line of best fit?
Answer:
C)
Step-by-step explanation:
The line starts at (0,0) unlike the others
The best approximates the line of best fit is shown in Option A.
What is Line segment?Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.
Given that;
Graph of the function is shown in figure.
Now, We know that;
A best line which is fit of the graph have same distance approximately.
Hence, The best approximates the line of best fit is shown in Option A.
Because it contain all the point approximately.
Thus, The best approximates the line of best fit is shown in Option A.
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Lea needs at least $240 to buy new headphones. She has already saved $30. She
earns $14 per car that she washes.
What is the least number of cars she can wash to buy the headphones?
Answer:
x = the number of cars she needs to wash
Step-by-step explanation:
3z + 2 + (-5) + 6 PLS HELP NEED TO TURN IN BY 2:30
Answer:
ok, but what does z in the equation equal? Since its a letter it has to equal to a number
what percentage is 49 of 250
a radio caller won the grand prize, where the caller gets to
spin a wheel with prizes of $500, $750, $1,250, $21500,
$5,000, $10,000, and $25,000 on a wheel. The probability
the wheel lands on $500 is }, landing on $750 is
crIN
landing on $1,250 is 25,
, landing on $2,500 is 25, landing
on $5,000 is 25, landing on $10,000 is 25, and landing on
$25,000 is
25 •
What is the expected amount of money
the radio caller should win if the caller gets to spin the
wheel once?
O $5,050
O $6,450
O $4,100
O $3,650
Answer: To find the expected amount of money the radio caller should win, you can multiply the prize amount by the probability of winning that prize, and add those products for each prize. The expected value is also known as the mean value.
$500 * 1/8 = $62.50
$750 * 1/8 = $93.75
$1,250 * 1/8 = $156.25
$2,500 * 1/8 = $312.50
$5,000 * 1/8 = $625.00
$10,000 * 1/8 = $1250.00
$25,000 * 1/8 = $3,125.00
Total expected value = $62.50 + $93.75 + $156.25 + $312.50 + $625.00 + $1250.00 + $3,125.00 = $5,050.00
So, the expected amount of money the radio caller should win if the caller gets to spin the wheel once is $5,050.
It's worth to mention that the probability for each prize is the same, but the prizes are not the same so each prize win will be different according to the prize amount.
The expected value doesn't assure that the prize will be won, but it's a good approximation of the prize the caller could win.
Step-by-step explanation:
Good morning people PLEASE PLEASE CAN SOMEONE GIVE ME THE ANSWER TO THIS PERCENTAGE QUESTION ON MY QUIZ ASAP! :)
NO LINKS !!
Answer:
it is 75% i think
Lin and Elena decide to race. Elena runs her mile at a constant speed of 0.125 miles per hour, or y=0.125x. Lin's speed is captured by the graph below.
Answer:
y = .111x
Step-by-step explanation:
If XV = 34, then HV =
No links
Answer:
17
Step-by-step explanation:
The diagonals in a parallelogram bisect each other, creating two equal halves. So HV = 1/2 of XV
HV = XV/2
HV = 34/2
HV =17
The required value of HV = 17.
From the graph
For the parallelogram XWVY
XV = diagonal of parallelogram
parallelogram is quadrilateral whose opposite side is parallel.
XV = diagonal
XV = 34
Since the diagonal of a parallelogram bisect each other.
So,
HV = XV/2
HV = 34/2
HV = 17
Thus, The required value of HV = 17.
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i am number between 47 and 53 no two of my factors are the same number what number am i
A number between 47 and 53 such that the prime factors are not repeated is:
3*17 = 51
How to find the number?Remember that any number can be written as a product of prime factors.
If we want to find a number between 47 and 53, such that there are no repeated factors, we just need to take different primes and multiply them.
For example:
2*3*5*7 = 210
There are no repeated factors, but the number is not in the desired range.
2*5*7 = 70
Still not in the range.
You can try some times until you get for example:
3*17 = 51
This a number in the desired range, such that their prime factors are not repeated.
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Can someone help will give brainliest
Answer:
Looking at this, slope seems to be 2 for the graph
So, looking at your options, -4 is less than 2, therefore, the answer is
D, with slope -4
Answer:
D
Step-by-step explanation:
The graphed function rises 2 in y for each run of 1 in x
Therefor the slope is 2/1 = 2
-------------------------
A) goes up 6 for each run of 3
slope = 6/3 = 2
B) goes up 15 for each run of 3
slope = 15/3 = 5
C) this is in slope intercept for of y = mx + b
m is the slope = 6
D) this is in slope intercept for of y = mx + b
m is the slope = -4
-------------------------------------
only D has a slope less than 2
the volume of the sphere is 70.34 cubic inches. use pi 3.14
Answer:
B (2.6)
Step-by-step explanation:
from 84 books to 110 books
Write an expression equivalent to e+e+e+e+e that is a sum of two terms.
Answer:
5e
5(e)
Step-by-step explanation:
please mark this answer as brainliest
write a mutiplcation exprresion that shows ten to the third
Answer:
10x10x10 or 10*3......
Solve the simultaneous equations using elimination method.
4x – 3y = 1
x + 3y =
Answer:
[tex]x=\frac{1}{5}[/tex]
[tex]y = -\frac{1}{15}[/tex]
Step-by-step explanation:
4x - 3y = 1
x + 3y = 0
Req To Solve With Elimination:
Make Them Equal:
-> 4x - 3y = 1
-> 4x + 4 . 3y = 0
Simplify:
-> 4x - 3y = 1
-> 4x + 12y = 0
-> 4x - 4x - 3y - 12y = 1
-> -3y - 12y = 1
-> -15y = 1
-> [tex]y = -\frac{1}{15}[/tex]
-> [tex]x+3(-\frac{1}{15} )=0[/tex]
-> [tex]x -\frac{1}{5}=0\\[/tex]
-> [tex]x=\frac{1}{5}[/tex]
Please Mark As Brainliest
Answer:
4x – 3y = 1
x + 3y =
Adding the equations gives us:
5x =1
x = .2
since 4x - 3y = 1
then -3y -1 = -4x then we multiply by -1
3y +1 = 4x
3y = 4*.2 -1
3y = .8 -1
3y = -.2
y = -.2 / 3 = -0.066666666...
For a double check you can use Cramer's Rule
http://www.1728.org/cramer.htm
Step-by-step explanation:
What is the answer please help me no links
Answer:
C= 2.18x + 2.39
Step-by-step explanation:
HELP! WILL GIVE BRAINLIEST
Answer:
Radical Approximation
of A=5√2
of B=2√13
of C is 3√7
pls find the angle HAF in the diagram
Answer:
∠HAF ≈ 64.90°
Step-by-step explanation:
You want the angle HAF, a base angle in the isosceles triangle formed by the face diagonals of the cuboid with dimensions 6 cm, 6 cm, and 8 cm.
Diagonal lengthsThe lengths of the diagonals can be found using the Pythagorean theorem:
HA² = HD² + DA²
HA² = 6² +6² = 2·6²
HA = 6√2 . . . cm
FA² = FB² +BA²
FA² = 6² +8² = 36 +64 = 100
FA = 10 . . . cm
Diagonal FH is the diagonal of a rectangle with the same dimensions as the rectangle whose diagonal is FA:
FH = FA = 10 . . . cm
Law of CosinesThe angle A can be found using the law of cosines:
FH² = FA² +HA² -2·FA·HA·cos(A)
A = arccos((FA² +HA² -FH²)/(2FA·HA))
A = arccos((100 +72 -100)/(2·10·6√2)) = arccos(72/(120√2))
A = arccos(0.3√2) ≈ 64.90°
Angle HAF is about 64.90°.
Exit ticket for geometry
Answer:
y = 10
Step-by-step explanation:
given DEFG = SPQR
QR = FG
=> 2x - 4 = 12
=> 2x = 16
=> x = 8
angle PQR = EFG
=> 6y + x = 68
=> 6y + 8 = 68
=> 6y = 60
=> y = 10
Fill in the blanks to complete the equation
Answer:
1/8+1/8+1/8
Step-by-step explanation:
The denominator in the first fraction should match the others because you always need a common denominator to add or subtract. And 1+1+1 is 3.
Sorry for bad quality but can anyone help plz will mark brainliest.
clothing,fuel,groceries and utility bill
Show 24÷1/4 step by step
Answer:
96
Step-by-step explanation:
24 divided by 1/4 is 96
you turn 24 into a fraction by putting a one under is and then you keep it change it flip it
24/1 Divided by 1/4
24/1 times 4/1
24 times 4= 96
1 times 1= 1
96/1=96
How much elastic energy is stored in a slingshot that has a spring constant of 300 N/m and is stretched by 0.45m?
Answer:
E = 30.37 J
Step-by-step explanation:
Given that,
The spring constant of the spring, k = 300 N/m
The spring is stretched by 0.45 m, x = 0.45 m
We need to find the elastic energy stored in the spring. The formula for the elastic energy is given by :
[tex]E=\dfrac{1}{2}kx^2\\\\=\dfrac{1}{2}\times 300\times (0.45)^2\\\\=30.37\ J[/tex]
So, the required elastic energy is equal to 30.37 J.
Seven less than the product of 24 and Jose’s savings
Use the variable j to represent Jose’s savings
Answer:
[tex]24j -7[/tex]
Step-by-step explanation:
Given
[tex]Savings \to[/tex] j
Required
Express 7 less than 24 * j
First, we have:
[tex]24 * j = 24j[/tex]
7 less is then expressed as:
[tex]24j -7[/tex]
The gestation period of humans (266 days) is _____ percent longer than the gestation period of lions (108 days).
The gestation period of humans (266 days) is 146.3% percent longer than the gestation period of lions (108 days).
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100.
Given that, gestation period of humans = 266 days and gestation period of lions = 108 days
Number of days taken more by humans in gestation period =
266-108 = 158
Percentage = 158/108 × 100 = 146.3%
Hence, the gestation period of humans (266 days) is 146.3% percent longer than the gestation period of lions (108 days).
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Can someone solve ASAP
Answer:
18.5 in=decimal feet,
Step-by-step explanation:
1)18.5/12=18.512
2)18.512=1.542 feet
You can sand 4 over 9 yd.² of wood and one over two hour how many square yards can you send in 3.2 hours?
You can sand 14.4 yd² of wood in 3.2 hours.
What is Ratio?A ratio is used to compare two or more like quantities or numbers with the same units. It is often written with a colon, and when used in words, we say the ratio of one quantity "to" the second quantity. A rate is a ratio that compares two different quantities which have different units.
9:2
x:3.2
therefore;
x = (3.2 x 9)/2
x = 28.8/2
x = 14.4 yd² of wood
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