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
Helen wants to find the value of [tex]\pi[/tex] using the formula [tex]\pi[/tex] = C÷D
Calculate the lower and upper bound for Helens value of [tex]\pi[/tex]
Give your answer correct to 3 decimal places

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.

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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clothing,fuel,groceries and utility bill

Answer:

ok, but what does z in the equation equal? Since its a letter it has to equal to a number

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.

The 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

The 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°.

Answer:

10x10x10 or 10*3......

Answer:

Radical Approximation

of A=5√2

of B=2√13

of C is 3√7

Answer:

5e

5(e)

Step-by-step explanation:

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The volume of the parallelopiped is 14 cubic units

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

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

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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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

Answer:

it is 75% i think

Answer:

18.5 in=decimal feet,

Step-by-step explanation:

1)18.5/12=18.512

2)18.512=1.542 feet

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

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]

Answer:

this is the graph and just find the slope each equation

Answer:

x = the number of cars she needs to wash

Step-by-step explanation:

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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The gestation period of humans ​(266 days) is ​146.3% percent longer than the gestation period of lions (108 days).

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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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.

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.

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:

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

You can sand 14.4 yd² of wood in 3.2 hours.

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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Answer:

C= 2.18x + 2.39

Step-by-step explanation:

A number between 47 and 53 such that the prime factors are not repeated is:

3*17 = 51

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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Answer:

y = .111x

Step-by-step explanation:

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]

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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:

Answer:

B (2.6)

Step-by-step explanation:

Answer:

Rectangular Prism Volume = [tex]210cm^{3}[/tex]

Total Volume of Composite Figure = [tex]247.68cm^{3}[/tex]