G.C.A.2 worksheet 5

Answer:

e

Step-by-step explanation:

the coordinates of the midpoint are the average of the coordinates of the endpoints.

let coordinates of C = (x, y ) , then with A = (- 1, 2 ) calculate the average and equate to the coordinates of B (3, 2 )

[tex]\frac{x-1}{2}[/tex] = 3 ( multiply both sides by 2 to clear the fraction )

x - 1 = 6 ( add 1 to both sides )

x = 7

and

[tex]\frac{y+2}{2}[/tex] = 2 ( multiply both sides by 2 )

y + 2 = 4 ( subtract 2 from both sides )

y = 2

coordinates of C = (7, 2 )

Step-by-step explanation:

I assume it means the task is filled completely.

diameter = 2.1 m

therefore, radius = diameter/2 = 2.1/2 = 1.05 m

height = 4 m

volume of a cylinder is

ground area × height, so

pi×r² × height = pi×1.05²×4 = 13.8544236... m³

1 cm³ is 1g

for 1 kg (remember, "k" stands for "kilo" and means 1000) we need therefore 1000 cm³ (which is a cube of 10 cm side length).

how many cm³ are in 13.8544236... m³ ?

1 m = 100 cm

1 m² = 1 m × 1 m = 100×100 = 10,000 cm²

1 m³ = 1 m × 1 m × 1 m = 100×100×100 = 1,000,000 cm³

that means a factor of 1,000,000 !

so, the volume of the cylinder is

13.8544236... × 1,000,000 = 13,854,423.6... cm³

to get the mass of kg of that much water we need now to divide by 1000 :

13,854,423.6... / 1000 = 13,854.4236... kg

which is, by the way, 13.8544236... tons.

yes, 1 m³ of water is 1 ton ...

I don't know, if you need to round the result.

if you e.g. only need full kg, then the answer would be

13,854 kg.

Answer:

Side 3 = a - 2

Step-by-step explanation:

Perimeter of a ∆ = sum of all the sides of a triangle

Perimeter of the given ∆ = 6a + 3 units

Side 1 = 2(a + 3)

Side 2 = 3a - 1

Side 3 = ?

Therefore:

Side 3 = Perimeter - sum of side 1 and 2

Thus:

Side 3 = 6a + 3 - [2(a + 3) + (3a - 1)]

Side 3 = 6a + 3 - [2a + 6 + 3a - 1]

Side 3 = 6a + 3 - [5a + 5]

Side 3 = 6a + 3 - 5a - 5

Side 3 = a - 2

Step-by-step explanation:

Answer:

(6,-1)

Step-by-step explanation:

it's given 2m and m is at point (4,-3) increasing each point by 2 = (6,-1).

not sure

Answer:

200 should be

Step-by-step explanation: mhm yes yes

Answer:

Step-by-step explanation:

log(1/2) (32) =x

Answer:

The graph is not a line of best fit as there are not an equal number of data points on each side of the line

Step-by-step explanation:

Brainliest would be appreciated

Answer:

The cost of one shirt is $20.75.

Step-by-step explanation:

Total Cost/3 Shirts = The Cost of 1 Shirt

62.25/3 = 20.75

Answer:

2

Step-by-step explanation:

We are given:

t = -11
u = 11
v = 1

Plug in the values to (tv-u) / tv:

((-11)(1) - 11) / (-11)1
(-11-11) / -11
-22 / -11
= 2

The fraction of a pound of ham that each sandwich has for the case when Mrs Johson used 12 pounds of ham to make 3 sandwiches is 4 pound per ham. or 4/1

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.

Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.

Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.

Thus, [tex]a \div b =[/tex] a divided in b equal parts.

Also, we can write: [tex]a \div b = a \times \dfrac{1}{b}[/tex]

(it is since a = a times 1 so [tex]a/b = 1 \times (a/b) = (1/b) \times a[/tex])

For this case, we're specified that:

12 pound of ham is divided in 3 parts for 3 sandwiches (assuming equally divided).

That means:

Amount of ham each sandwich gets = 12 divided by 3 = 12/3 = 4 pounds.

To find the fraction of a pound of ham that is on each sandwich, we find what part of a pound is 4 pounds.

If we take 4 times a pound, then we get 4 pounds.

Thus, 4 of a pound = 4 pound

In fraction, we have: 4 pounds = 4/1 fraction of a pound.

Thus, the fraction of a pound of ham that each sandwich has for the case when Mrs Johson used 12 pounds of ham to make 3 sandwiches is 4 pound per ham. or 4/1 fraction of a pound

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Answer:

Let's first find the area of the rectangle/rectangle,

we can do this by combining their lengths as a whole

or

we can individually find their area.

Let's find the area of the individual shapes, upper rectangle;

(using the formula)

A = l x w

Where 'l' represents the length and 'w' stands for the width.

Plug in what you know:-

A = 27(24)

A = 648 square feet is the area of the upper rectangle.

Now, the lower rectangle:

A = l x w

Plug in what you know:-

A = 27(32)

A = 864 square feet is the area of the lower rectangle.

Now we find the area of the triangle beside;

(using the formula)

A = BH x 1/2

Where 'B' represents the base, 'H' the height, and 1/2 means to simply divide the product of those two lengths(base x height) by 2.

Plug in what you know:

A = BH x 1/2

A = 18(32) x 1/2

A = 576 x 1/2

A = 576/2

A = 288 square feet is the area of the triangle beside.

Add up all the areas we've gathered so far:

648 + 864 + 288

= 1,800 square feet is the area of the patio

Answer:

Let's first find the area of the rectangle/rectangle,we can do this by combining their lengths as a wholeorwe can individually find their area.Let's find the area of the individual shapes, upper rectangle;(using the formula)A = l x wWhere 'l' represents the length and 'w' stands for the width.Plug in what you know:-A = 27(24)A = 648 square feet is the area of the upper rectangle.Now, the lower rectangle:A = l x wPlug in what you know:-A = 27(32)A = 864 square feet is the area of the lower rectangle.Now we find the area of the triangle beside;(using the formula)A = BH x 1/2Where 'B' represents the base, 'H' the height, and 1/2 means to simply divide the product of those two lengths(base x height) by 2.Plug in what you know:A = BH x 1/2A = 18(32) x 1/2A = 576 x 1/2A = 576/2A = 288 square feet is the area of the triangle beside.Add up all the areas we've gathered so far:648 + 864 + 288= 1,800 square feet is the area of the patio

Step-by-step explanation:

Let the vertices of the prism be A, B, C, D, E, F, G, and H. (Refer to image).

From the image, we can tell that the faces of the prism are:

ABFG    HDCE     FBCE     GADH     GFEH    ABCD

Surface area formula:

[tex]\text{Surface area = Sum of the area of it's faces}[/tex]

The faces are ABFG, HDCE, FBCE, GADH, GFEH, and ABCD (Previous Part)

[tex]\implies \text{SA = A(ABFG) + A(HDCE) + A(FBCE) + A(GADH) + A(GFEH) + A(ABCD)}[/tex]

If we look at the prism carefully, we can tell that:

ABFG = DCEH

GADH = FBCE

GFEH = ABCD

Therefore, the new equation is:

[tex]\implies \text{SA = 2[A(ABFG)] + 2[A(GADH)] + 2[A(GFEH)]}[/tex]

If we look carefully, we can see that GADH and ABFG are rectangles. Therefore, their areas will be length multiplied by width. Now, substitute the dimensions of the rectangles in the surface area.

[tex]\implies \text{SA} = 2[4 \times 4] + 2[2.5 \times 4] + \text{2[A(GFEH)]}[/tex]

The area of a parallelogram is the base multiplied by the height.

[tex]\implies \text{SA}= 2[4 \times 4] + 2[2.5 \times4] + 2[4 \times 2]}[/tex]

Finally, simplify the equation to determine the surface area.

[tex]\implies \text{SA} = 2[16] + 2[10] + 2[8][/tex]

[tex]\implies \text{SA} = 32 + 20 + 16[/tex]

[tex]\implies \boxed{\text{SA = 68 m}^{2} }[/tex]

Answer:

1)  46.64

2)  17.75

3)  414.69

Step-by-step explanation:

13^2 -5^2=sqrt2172=46.64

22^2-13^2=sqrt315=17.75

V=πr2h

11/3=π·62·11

11/3≈414.69

Answer:

Step-by-step explanation:

Answer:

8.8

Step-by-step explanation:

To find mean, add all of the numbers together, then divide that sum by how many numbers there are.

3 + 5 + 10 + 11 + 15 = 44

44 ÷ 5 = 8.8

hope this helps!

Step-by-step explanation:

3+5+10+11+15÷5=

44 divided by 5 which gives 8.4

therefore that is the mean hope this helps

The data shows a person from regions such as Northern Europe, Middle East 2, and East Africa will have a high dairy tolerance.

This is characterized by unpleasant symptoms when the body doesn't produce enough lactase to digest the lactose consumed.

From the data, the regions which shows high dairy tolerance are those from Northern Europe, Middle East 2, and East Africa.

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Answer:

$38÷6

for five adult and two children

$55÷7

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

a circle is 360

we can divide 360 by 15

360 divided by 15 =

24

The  volume of the following rectangular prism in terms of x is 4x+ 0.5)(0.5x)(x - 2)

The formula for calculating the volume of a prism is expressed as

V = lwh

l is the length

w is the width

h is the height

Given the following

l =4x + 0.5

w = 1/2x

h = x - 2

Find the volume

V(x) = (4x+ 0.5)(0.5x)(x - 2)

Hence the  volume of the following rectangular prism in terms of x is 4x+ 0.5)(0.5x)(x - 2)

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Answer:

  missing denominator: 5

  missing numerator: 3

Step-by-step explanation:

You know the product of fractions is formed by multiplying numerators and multiplying denominators.

  [tex]\dfrac{3}{d}\times\dfrac{n}{4}=\dfrac{3n}{4d}=\dfrac{9}{20}[/tex]

This gives rise to two equations:

  3n = 9   ⇒   n = 3

  4d = 20   ⇒   d = 5

The missing denominator is 5; the missing numerator is 3.

__

  [tex]\dfrac{3}{5}\times\dfrac{3}{4}=\dfrac{9}{20}[/tex]

Answer:

Quadratic

Step-by-step explanation:

2705/500 = 5.41
10,818/1000 = 10.818
24 341/1,500 =24.227

43,273/2000 = 21.6365
67,613/2500 = 27.0452

Rate of change changes

Answer:

OPTION B

Step-by-step explanation:

(6,-5)

I HOPE IT HELPED YOU

Answer:

9 inches

Step-by-step explanation:

Formula: ( area of a parallelogram)

area = base × height

_______________

then

base = area/height

        = 18/2

        = 9

The expected value of the f-ratio is the mean value

On average, the expected value for the f-ratio is 1.00 if the null hypothesis is true

From the question, we understand that the null hypothesis is true and the distribution is the F-ratio

The above scenario means that:

The variance of the top and the bottom ratio are the same

When the ratios are the same and the null hypothesis is accepted, then the expected value is 1.00

Read more about expected values at:

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Step-by-step explanation:

That's a rare Halo II angel bear, especially since it has a brown nose. Don't sell it less than $40, you can check prices on many websites

Answer:

-14,-17

I hope this is useful