3. Calculer le volume d'un cylindre de rayon 4 cm et de hauteur 15 cm ( valeur exacte puis arrondie au centième

Answer:

the correct answer is supposed to be 120, your almost there :)

Step-by-step explanation:

Answer:

110x3.5=385

Step-by-step explanation:

I HOPE THIS HELPS!!!!

Answer:

30 feet

Step-by-step explanation:

The height of the tree is 24 feet casting a shadow of 40 feet long.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Assuming the height of the tree to be x feet.

15 : 25 : : x : 40.

15/25 = x/40.

25x = 600.

x = 24

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Step-by-step explanation:

Multiply 5 by itself until you get 125.

The amount of people in 2010 is 11571 and it would take approximately 22 years to reach 50000 people.

Let P represents the population as of the year(t) 2000. Given the equation:

[tex]P=3485e^{0.12t}[/tex]

In the year 2010 (t = 10 years), the population would be:

[tex]P=3485e^{0.12*10}=11571\ people[/tex]

For the population to reach 50000 people:

[tex]50000=3485e^{0.12t}\\\\t=22\ years[/tex]

The amount of people in 2010 is 11571 and it would take approximately 22 years to reach 50000 people.

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Answer:

see explanation

Step-by-step explanation:

An open circle indicates that x cannot equal that value

A closed circle indicates that x can equal that value.

(i)

An open circle at x = - 1 and arrow pointing right

x > - 1

(ii)

An open circle at x = - 1.5 and arrow pointing right

x > - 1.5

(iii)

A closed circle at x = 4 and arrow pointing left

x ≤ 4

(iv)

A closed circle at 0.5 and arrow pointing left

x ≤ 0.5

Answer:

10cm

Step-by-step explanation:

the formula for an area of a trapezium:

[tex] \frac{(a + b) \times h}{2} = area[/tex]

where a and b are the parallel sides and h is the height. equating what we have:

[tex] \frac{(19.8 + 7.2) \times h}{2} = 135[/tex]

simplify the numerator by adding 19.8 and 7.2=27

[tex] \frac{27h}{2} = 135[/tex]

multiply both sides by 2

[tex]27h = 270[/tex]

divide both sides by 27

[tex]h = \frac{270}{27} = 10[/tex]

the height is 10cm

The cost to employ the contractors is $11250

The general cost to employ someone is between 1.25 and 1.40 of their real wage. This means the real wage is lower than the cost to employ that person.

Moreover, to determine the cost to employ the contractors, we need to determine their total wage:

Now, for all the machines to be repaired you will need to pay a total of $9000

Finally, let's find out the cost using the minimum rate.

$9000 x 1.25 = $11,250

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Answer:

$8800

Step-by-step explanation:

Let x be the number of months contract A is employed and let y be the number of months contractor B is employed. Since we are trying to minimize cost, our objective function represents the total cost to employ contractor A and contract B. This function is defined by

C(x,y)=800x+1000y

The first constraint is that the company needs to have 12 IBM copying machines serviced and we know that contractor A can repair 2 IBM copying machines and contractor B can repair 1 IBM copying machines. This translates into the following inequality.

2x+y≥12

The second constraint is that the company needs 18 Xerox copying machines serviced and we know that contractor A can repair 1 Xerox copy machines while contractor B can repair 3 Xerox copy machines. This translates into the following inequality.

x+3y≥18

The third constraint is that the company needs 20 Canon copying machines serviced and we know that contractor A and contractor B can repair 2 Canon copy machines each. This translates into the following inequality.

2x+2y≥20

The fact that x and y must be positive numbers is represented by the following two constraints:

x≥0,y≥0

Using all of this information, our problem is as follows.

Minimize: C(x,y)=800x+1000y

Subject to: 2x+y≥12

x+3y≥18

2x+2y≥20

x≥0

y≥0

The corner points are:

(0,12),(18,0),(2,8),(6,4)

The point (6,4) gives lowest cost: $8800

Answer:

1) 3:4

Step-by-step explanation:

Answer:

1. 3 ratio 5

2. 4 ratio 4

3. 2 ratio 5

4. 2 ratio 4

Answer:

e) 14mn.

Step-by-step explanation:

The GCF of 14, 56 and 28 is 14,

The GCF of m, m^2 and m^3 is m.

The GCF of n, n^2 and n^3 is n.

The answer is therefore 14mn.

Answer:

16 units

Step-by-step explanation:

Answer

55$

Step-by-step explanation:

Answer:

True.

Step-by-step explanation:

We assume that the plane is flying at a constant height above the ground.

The angle of elevation is the angle made between the plane, you and the point on  the ground directly below the plane. As the plane approaches you the distance between you and the point on the ground decreases and therefore the angle of elevation increases.

Answer:

8 hours

Step-by-step explanation:

4 people = 6 hours

→ Work out how long 1 person takes

1 person = 24 hours

→ Work out how long 3 people takes

3 people = 8 hours

Hope you could get an idea from here.

Doubt clarification - use comment section.

[tex](b) ^{2} + {(h)}^{2} = {(x)}^{2} \: \: \: ( by \: \: \: pythagoras \: \: \: theorem)\\ = > {(10)}^{2} + {(10)}^{2} = {(x)}^{2} \\ = > 100 + 100 = {x}^{2} \\ = > 200 = {x}^{2} \\ = > x = \sqrt{200} mm \\ = > x = \sqrt{2 \times 2 \times 2 \times 5 \times 5}mm \\ = > x = 2 \times 5 \sqrt{2} mm \\ = > x = 10 \sqrt{2} mm[/tex]

Answer:

10√2 mm.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer: 54 words does Rachel type per minute

Step-by-step explanation:

Rachel types 162 words in 3 minutes Rachel types at a constant rate.

We have to find how many words does Rachel type per minute.

By definition of unit rate: all we do is divide 162 by 3 which gives us 54

Answer:

54 words per minute

Step-by-step explanation:

In 3 minutes Rachel types 162 words

Then

In 1 minutes,Rachel types 162÷3 words

In 1 minutes Rachel types 54 words

.

. . Rachel types 54 words per minute

Answer:

  C -- see attachment

Step-by-step explanation:

The graph you're looking for has a y-intercept of -2 (as they all do) and a negative slope that is steeper than -1. It will have a "rise" of -4 for each "run" of 3, so point (-3, 2) will also be on the graph.

The graph shown in the attachment is the one you're looking for.

_____

Two of the offered graphs have negative slope. One (B) has a slope of -3/4, so is not the correct graph. The other (C) has a slope of -4/3. It is attached.

[tex]\text{Given that,}\\\\\\f(x) = 9x^3 -x^2 +2 \\\\f(2) = 9(2^3) - 2^2 +2\\\\~~~~~~~ = 9(8) -4 +2 \\\\~~~~~~~= 72 -2 \\\\~~~~~~~=70[/tex]

Answer:

[tex]Both \: the \: moon \: and \: earth \: are \: in \: \\ the \: shape \: of \: spheres. \\ Surface\: area \: of \: a \: sphere \: of \: radius \: 'r' \\ [/tex]

Let d1 be the diameter of the moon and d2 and be the diameter of the earth.Let r1 be the radius of the moon and r2 be the radius of the earth.

[tex]given \: d1 = \frac{1}{4}d2 \\ = > 2r1 = \frac{1}{4} ×2r2 \\ =>r1 = \frac{1}{4}×r2 \\ Now, \: ratio \: of \: \: their \: surface \: areas \: is: \\ = s1: s2 \\ = r {1}^{2}: r {2}^{2} \\ = {1}^{2 } : {4}^{2 } \\ =1:16[/tex]

Answer:

look below :)

Step-by-step explanation:

Ok so the formula for the area of a triangle is (l x w) / 2

and the formula for the area of a square is l x w.

The area of the square is 2 x 2 = 4.

so the area of the square = 4cm²

the area of the triangle is 2 x 4 = 8.

8 / 2 = 4

so the area of the triangle is also 4cm².

Hope this helped!

Answer:

A-B=

-2-8-9-(9-9+6)=

-19-6=

-25

Answer: so Miguel payed $33

steps:

1. first find what 40% of $55 which gives us $22

2. Final Price = Original Price - Discount

Final Price = 55 - 22

Final Price = $33.00

Answer:

yes

Step-by-step explanation:

For the sides to form a triangle , then the sum of any 2 sides must be greater than the third side

9 + 11 = 20 > 15

9 + 15 = 24 > 11

11 + 15 = 24 > 9

The 3 sides given will form a triangle

Note that

The length of any two sides must be greater than the third side

So

Yes it's a triangle

Answer:

10v + 2

Step-by-step explanation:

Answer:

10v + 2

Step-by-step explanation:

Ok, so when were adding varibles, whenever theres the same varible, we add them. In this case we have v and numbers. -5+7 is 2 because -5 and positive 5 cancel eachother out so were left with 2 from the 7. now the equation is 10v+2!

Answer:

145°

Step-by-step explanation:

See the attachment.  Angles A, B, and C all belong to the triangle.

We know that A + B + C = 180° since the angles of a triangle always add to 180°.  We also know that when two lines meet that their sum is also equal to 180°.  So we can write for each interior angle the following:

                                     Result

<A = (180 - 88)                72

<B = (180-x)                  180-x

<C = (180 - 127)               53

The sum of angles A, B, and C is equal to 180:

 72 + (180-x) + 53 = 180

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{3(7x - 6)}\\\large\rightarrow\textsf{3(7x) + 3(-6)}\\\large\rightarrow\textsf{21x - 18}\\\\\\\huge\text{Therefore, your answer is: \boxed{\textsf{21x - 18}}}\huge\checkmark[/tex]

[tex]\large\textbf{Note: All you had to do is DISTRIBUTE 3 the}\\\large\textbf{WITHIN PARENTHESES. }\large\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

The biologist did not use proper labeling on the pieces of paper.

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Answer:

Yes its similar because if you look at all the numbers they are all the same but the shape is just turned around

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Answer:

Step-by-step explanation:

Yes its similar because if you look at all the numbers they are all the same but the shape is just turned around

love ELVIS

Answer:

36 cm²

Step-by-step explanation:

1/2 × (8.9+5.5) ×5.5

1/2×14.4×5.5

1/2×72

36 cm²

Answer:

Aunt Clare

Step-by-step explanation:

Milk makes tea weaker, therefore the one with less milk (Aunt Clare's) is darker.

Answer:Aunt clares is darker